Between Mathematics for Dummies: Explanation, Theory, Applied Solutions. Mathematical analysis
Heaps of terrible formulas, helpers of advanced mathematics, Yaki vіdkrієsh і vіdrazu zakriєsh, bolіsnі pokuki rіshennya it was given b more simple zavdannya…. This situation is not uncommon, especially if the mathematician's assistant has recovered from the distant 11th grade. And in the meantime, at the VNZ, the main plans of a variety of specialties are transferred to the education of everyone who loves mathematics. And in this situation, you often see yourself with the same teapot in front of a heap of stingy mathematical gibberish. Moreover, the situation is similar for any subject, especially for the cycle of natural sciences.
What work? For a full-time student, everything is much simpler, obviously, obviously, the subject is not neglected. You can consult with the vikladach, classmates, and simply write off from the sus_da in the party. To create a new teapot in the world of mathematics for such an expansion of the session through.
And how does a person study at the correspondence department of the VNZ, and even a mathematician, mildly seeming, is unlikely to be needed in the future? Until then, there is no time to be busy. So it’s out, in the majority of vipadkiv so, but no one skasovuvav vykonannya control work and folded іspitu (mostly, writing). With control robots, everything is simpler in general mathematics, chi is a teapot, chi is not a teapot - you can learn the control robot from mathematics. For example, I have. І s іnshih subjects tezh you can learn. Already not here. Ale vikonannya that building for the review of the control work has not yet been brought to a reserved entry in the book of books. Often buvay, scho vitvir mystetstva, vykonaniya on zamovlennya, it is necessary to protect, and explain why this formula sings out of these letters. In addition, check to sleep, and there already happen to be virishuvati vyznachniki, between and pokhіdnі INDEPENDENTLY. Yakshcho, obviously, the vikladach does not accept valuable gifts, like a hired good-natured person outside the walls of the audience.
Allow me, I will give you a more respectful pleasure. In the halls, іspitah z exactі і natural sciences Remember, please. Most of the time the rozumovyh processes are just fighting the vikladach, I have some fluctuations, if the part-time students gagged 5-6 times. Remember, one youngster gave up control work 4 times, and after a skin re-delivery, I contacted me for a cost-free warranty consultation. I’m sorry, I’ve mentioned that the deputy of the letter “pi” had written the letter “pe” in the case of the vidpovidi wine, for which there were severe sanctions on the side of the reviewer. A student to NAVIT NOT WANTING TO DEPRECIATE into the task, as if he rewrote a lot
You can be a real teapot at all mathematics, but it’s better to know that the constants are better than zero. To that, as you seem to be foolishness on elementary nutrition, then the greatness of the fact that the VNZ will end for you is great. It’s more convenient to put yourself up to that student, who WANTS to learn about the subject, to the one who, high and mildly, even if you try to be virishiti, explain or bring it up. І tse assertion є fair for all disciplines. To that, it is necessary to give the position “I don’t know anything, I don’t understand anything.”
Another important joy is to give lectures, to teach them not too much. I already guessed about it on the main side of the site Mathematics for correspondence students. There is no sense to repeat, why is it important, read there.
Otzhe, scho robiti, as if on the nose of the hall, sleeps with great mathematics, but in deplorable terms - the camp of a full, or rather seemingly, empty teapot?
One of the options is to hire a tutor. With the largest base of tutors you can get acquainted with (more importantly, Moscow) or (more importantly, St. Petersburg). Behind the random system, it is possible to know a tutor in one's own place, or marvel at the locals advertising newspapers. The price for the services of a tutor can vary from 400 and more rubles per year depending on the qualification of the tutor. Note that cheap does not mean bad, especially since your mathematical background is bad. At the same hour for 2-3K rubles, you take a LOT. No one takes such pennies for free, and no one pays such pennies for nothing ;-). The only important moment is to ask a tutor with specialized pedagogical knowledge. And it’s true, we don’t go for legal assistance to the dentist.
In the rest of the hour, the service of online tutors is gaining popularity. Vіn duzhe zruchny, if it is necessary to solve one or two tasks in terms, explore topics or get ready for sleep. Insane perevagou є tsіni, yakі at kіlka razіv nizhchi, nizh at offline tutor + saving an hour on travel, which is especially relevant for mechantsіv megacities.
In the course of higher mathematics, it is even more important to master certain speeches without a tutor, it is necessary for you to "lively" explain.
Tim is not less, for rich types of the head of the whole can be developed independently, and the meta of this division of the site - teach you to virishuvati typical stocks that task, yakі practi- cally zavzhdi zustrіchayutsya on іspitah. Moreover, for the low task, “zhorstky” algorithms are developed, deducing the correct solution from the start “nowhere to go”. I, in the world of my knowledge, I will try to help you, there is more pedagogical education that dosvid work for the specialty.
Let's do some mathematical gibberish. It's okay, just like a teapot, more mathematics - it's really simple and accessible.
And rozpochati requires repetition of the school mathematics course. Repetition is the mother of torment.
First of all, you proceed to the development of my methodical materials, and then proceed to the development of any materials from higher mathematics, I really recommend that you read the lower studies.
In order to successfully solve the problem of great mathematics, it is NECESSARY:
BUY A MICRO CALCULATOR.
3 programs - Excel (optional choice!). Manual for "teapots" I got from the library.
Chi є? Already good.
– Type of permutation of addendums - the amount does not change: .
And the axis of the same difference of speech:
Rearranging "ix" and "four" is simply not possible. At the same time, we create the cult letter "iks", as in mathematics it designates an unknown or changing value.
– Type of permutation of multipliers - tvir does not change: .
With a meanness, such a trick is not passed, and - tse two different fractions, that permutation of the number book with a banner cannot do without nasledkiv.
It is also assumed that the plural sign (“dots”) is most often not used to write:,
– Guessing the rules for opening the bow:
- here the signs of the dodanks do not change
- And here they are changing on the floor.
І for plural: 
Vzagali, enough memory, scho TWO MINUS GIVE A PLUS, a THREE MINUS - GIVE MINUS. І, try not to get lost in the course of solving problems with higher mathematics (already often, and pardon pardon).
– Let's guess, there are similar dodankiv, You are guilty of good understanding of this diyu:
– Guess what the steps are:
, , 
, 
.
Steps are only a few words.
–Guessing that fractions can be shortened: (Shorted by 2), (Shorted by five), (Shortened by).
– Guessing diї with fractions:
and even more important is the rule of bringing fractions to a double banner: 
Likewise, apply little minds, marvel at school mentors.
Without which you will be TIGHT.
PORADA: in most mathematics, it is more common to carry out the calculations in PRIVATE REGULAR AND IRREGULAR FRACTIONS, so there will be scary fractions for kshtalt. The axis of this piece DOES NOT REQUIRED to be presented at a glance, i, more, it is NOT REQUIRED to add a number to the banner on the calculator, taking into account 4.334552102.
EXCLUDED from the rules є kіntseva vіdpovіd zavdannya, even if it's better to write down abo.
– Rivnyannia. The new one has a part that right part. For example:
You can transfer whether it’s dodanok to another part, changing into a new sign:
Let's transfer, for example, the warehouses in the left part:
Abo is right:
Mezhі zavdat all students, yakі vyvchayut mathematics, chimalo trouble. In order to cross the line, sometimes you have to stop a lot of cunning and choose from rich methods of developing the very same, which is a pidide for a particular butt.
In this article, we can’t help you to understand the boundaries of your abilities and touch the boundaries of control, but we will try to improve your knowledge: how to understand the boundaries of your mathematics? Rozuminnya to come with dosvіdom, to that at once we will give a kіlka report applications virishennya between іz explanations.
Understanding inter-mathematics
First food: what did you go for between that between what? You can talk about inter-numerical sequences and functions. We have to understand the inter-functions; Ale on the back - a scorched line between:
Admissible, є pevna changeable value. That the value of the process of change is inexorably approaching before the next day a , then a - Between values.
For singing in the interval function f(x)=y the boundary is called such a number A , what is the right function for X , sho pragne to the singing point a . Krapka a lie within the interval for which the function is assigned.
It sounds cumbersome, but it’s even easier to write down:
Lim- in English limit- Mezha.
It is also a geometric explanation of the designation of the boundary, but here we are not liztimemo in theory, the shards of us are more practical, the lower is the theoretical side of nutrition. When we say what X It doesn’t have any meaning, it means that the change doesn’t take on the meaning of the number, but it’s getting closer to the new one.
Let's take a concrete example. Zavdannya - know the boundary.
To write such a butt, imagine the meaning x=3 at the function. We take:
Until then, to tell you about basic operations on matrices, read the following article on this topic.
At the butts X you can pragnet be of any significance. Tse mozhe buti be-like the number of chi neskіchennіst. Axis butt, if X pragne inconsistency:
Intuitively realized that the larger the number of the bannerman, the less important the function is. So, for the unbound growth X meaning 1/x will change and approach zero.
Like a bachimo, to cross the line, it is necessary to simply put on the function a value, some kind of pragmatic X . However, the simplest one. Often perebuvannya between negarazd is more obvious. At the borders there are inconsistencies to the type 0/0 or inconsistency / inconsistency . What is the job of such vipadkas? Go to the tricks!
Insignificance in between
Insignificance to the mind inconsistency / inconsistency
Let me go between:
If we try to introduce inconsistency in a function, then we take inconsistency like a numeralist, and a bannerman. It was necessary to say that the manifestation of such insignificance has a singing element of mysticism: it is necessary to remember how it is possible to transform the function in such a manner that the insignificance is gone. At our point of view, we divide the number and banner into X at the senior level. What can you see?
From what I have already looked at, I will butt we know that the members, like revenge on the banner of x, will bend zero. Some solutions between:
For razkrittya non-insignificance type inconsistency / inconsistency divide the numeral and banner on X at the highest level.
Before speech! For our readers at once a discount of 10% on some kind of robot
Another kind of insignificance: 0/0
How to start, substitution of the value of the function x=-1 yes 0 at the numeral and the bannerman. Take a look at the trio more respectfully and remember what we have in the number square alignment. We know the root and write it down:
We quickly take it away:
Also, as you see, it sticks to the insignificance of the type 0/0 - Lay out the number book and the banner on the multipliers.
So that it would be easier for you to write it down, we will set up a table for the boundaries of the current functions:
Lopital's rule in the borders
Another straining way allows us to use the insignificance of both types. What is the essence of the method?
As a boundary between insignificance, I’ll take a look at the numeral and bannerman until that hour, until the insignificance is not known.
Initially, Lopital's rule looks like this:
important moment : the border, in the yakіy zamіst of the number book and the bannerman, to stand like the number book and the bannerman, you can use it.
And now - a real example:
In manifestness, type non-insignificance 0/0 . Let's take a look at the date of the numeral and banner:
Voila, invisibility is dressed up elegantly.
Let's hope that you can put this information into practice and know the evidence for nutrition "how to overcome the difference between other mathematics." It is necessary to calculate between sequences, or between functions in points, and there is no time for a robot to use the word “zom”, go back to a professional student service for a quick report and solutions.
The category Mathematical analysis is selected without cost online video lessons on this topic. Mathematical analysis is the sum total of the divisions of mathematics, yakі are engaged in the development of functions and their zagalnen methods of differential and integral calculation. These include: functional analysis, including the theory of the Lebesgue integral, complex analysis (TFKT), which develops functions, tasks on the complex plane, the theory of series and rich integrals, non-standard analysis, which develops infinitely small and infinitely great numbers, vector analysis, as well as literal variation. The development of mathematical analysis with video lessons will be as colorful as the beginnings, so the knowledge of mathematicians. Video lessons from the heading Mathematical analysis You can marvel without cost at any hour. Until the next video lessons mathematical analysis additional materials have been added, which can be taken advantage of. Good luck!
A lot of materials: 12
Materials shown: 1-10
What are the similar functions
Do you want to know what the functions of mathematics are like? You are very richly speaking about the lost and navit, singsongly, taking my lost at school, we do not understand the sense of our children. In this video, I will not teach you the formulas, but I will explain the sensation of walking on the fingers in such a way that it would be sensible to inspire a round teapot. A little later, you better look at my previous video, where I also tell you about the functions in an accessible way. For this video tutorial, it’s simple, it’s understood and the basic butts of life ...
Introduction to analysis. Tension of multiples
Online lesson “Introduction to analysis. The hardness of the multiplicity of assignments to the power of such a concept is the hardness of the multiplicity. Tse pitanya stosuєtsya kіlkіsnoї characteristics of multiples. As impersonal as it is, one can speak about the number of yoga elements. Ale yak buti with inexhaustible multiplies? Aje in this vipadka will not understand more or less. To accomplish this task, one introduces such a concept, like a tightness. Potuzhnіst - tse іnstrument kіlіkіsnogo pіvnyannі neskіnchennyh mnozhin. Whose business is given ...
Between the functions at the point - appointment, application
In tsomu online lesson rozpovidaєtsya about such an understanding, as between the functions of a point - a purpose, an application. Most of the elements of the following functions are based on the understanding of the inter-functions. Here we will look at the inter-functions to the point on a simple application, after which we will give a strictly defined inter-function to the point with the report illustration on the graph for a short understanding of the material. On this occupation, other applications are also looked at and it is formulated in a suvor of designation of one-sided ...
Convenience of state rows - an example of how to know the area of concession, doslidzhennya
In this video, the lessons are explained about such understanding as the efficiency of the state rows, how to know the area of the economy, follow-up. The step row is the last step of the functional row, if its members are the same function of the argument x. The area of \u200b\u200blife є all values of change x, with any other conditions number row converge. For further reference, you can twist the d'Alembert sign and for the help of a new one to show that the stacked series converge or diverge, and when ...
What is the first
In this video, I will tell you about the first, like a close relative of the dead. Tell the truth about her, and so you already know everything, like looking at my previous video, and we only had to put specks over the i. Primary - tse "batkivska" function for traveling. Know the first - tse means the answer to the question: and whose child? If you see a donka, then we can know my mother. Previously, we navpak joked on the donka on the instructions of my mother. At once mi robimo turnaround - vіd...
Geometric zm_st pokhіdnoy
I'll tell you about this video geometric zmist fun. You know that the geometrical zmist is similar to the fact that it is similar to such a smart dot - it’s the same. I say “mayzhe” to that which is similar to the old tangent of the kuta badly dot. Can vvazhat, scho that nahіdna frail dotichї - the stench is closely tied. If it’s a big one, then it’s big, and the function of this point is sharply growing. If it’s a small one, then it’s ugly ...
What is a function in mathematics
Do you want to know what is the function of mathematics? For this video lesson, it’s simple and understandable, from different graphic illustrations and on the first life examples it’s possible to tell what is the function, what is the argument, how the functions (growth, decline, change), how you can set formulas). You know that the fallow, as it shows, that one value is connected with another value, is called a function. Be it a function, there is a link between the values...
Between functions on inconsistency - purpose, butt
Lesson "Between functions on inconsistency - purpose, apply" assignments to nutrition about those that are so bordering on inconsistency. More elementary functions designed for you great significance argument. And here it is important to know the behavior of the function on inconsistency. One of the elements of achieving such a behavior is the importance of inter-functions on inconsistency. Although inconsistency is not a number, and їy does not show the same point on the number line, the designated boundary on ...
Mathematical analysis for teapots. Lesson 1
understand multiplier
Bezlich- Tse sukupnіst deyakyh ob'єktіv. How can you multiply? First, kіntseі chi neskіnchenni. For example, the nameless sirniks at the box are a lot of kіntsev, you can take them and frighten them. The quantity of food on the beach is much more important, but, in principle, it is possible. І tsya kіlkіst manifests itself as a final number. So the faceless pishchinok on the beach is also amazing. And the axis of the impersonal point is directly tse impersonal indistinct. So it’s easier, it’s straight on its own, unskinned, and you can put skilki on it forever. An impersonal point in a straight line is also unskinned. That is why, theoretically, the point can be quite small. Obviously, it is physically impossible to draw a point, with a difference, for example, less than the size of an atom, but, from the point of view of mathematics, a point cannot be measured. Її expansion is close to zero. And what about going out, like adding a number to zero? That's right, inconsistency. I want an impersonal point on the straight line and on the edge of the right inconsistency, but not the same. Bezlich - it's not a bunch of things there, but a collection of objects. I vvazhayutsya less than those multiplied, yakі avenge absolutely the same objects. If in one multiplicity to avenge those objects, which is another multiplicity, but plus one more "livy" object, then it is no longer equal multiplier.
Let's look at an example. Let us have two multiplies. First - the succession of all points on a straight line. The other is the confluence of the short points on the straight line. Why are they not jealous? In a first step, the breeze that straight line can not be overwhelmed. Todі stinks are definitely not equal, oskіlki vindicate their absolutely different points. If the stench is overwhelmed, then they have more than one hot point. Everything else is also different. And how can the arms lie on a straight line? Todі all points in vіrіzka є th points of the straight line. Not all points of a straight line are points of a cut. So in this way, multiplicity cannot be equal (equal).
The skin multiplier is set by the rule, as it is unambiguously determined, to lie down the element to the tsієї multiplier chi nі. What can be the rules? For example, like a faceless kіtsev, you can stupidly overthrow this object. You can set the range. For example, let's use numbers from 1 to 10. Tse will be the same kіnceve impersonal, but we will not overdo it, but we will formulate the rule. But the inconsistency, for example, must be numbers greater than 10. If there will be an inexhaustible multiplier, you can’t name the largest number - even though we didn’t name the number, for sure it’s the whole number plus 1.
As a rule, plurals are denoted by great letters of the Latin alphabet A, B, C and so on. This impersonality is made up of specific elements and you want to set it with a list of these elements, we can put it in the shape of the bow, for example A=(a, b, c, d). If a is an element of the multiplier A, then write it like this: a Î A. If a is not an element of the multiplier A, then write a Ï A. One of the important multipliers and the impersonal N of all natural numbers N=(1,2,3,...,) . Isnuye is also special, so called an empty lot, so as not to avenge the native element. An empty multiplier is indicated by the symbol Æ .
Designation 1 (designation of the equality of multiples). Bezlich BUTі B рівні, as if the stench is formed from the quiet elements themselves, so, as xÎ A follows x Î B i backwards, from x Î B turns x Î A.
Formally, the equality of two sets is written as follows:
(A = B) := " x (( x Î A ) Û (x Î B )),
Tse means what for any object xÎ A and xÎ B are equal.
Here " - The quantifier of heat (" xread like "for skin x").
Appointment 2 (appointment submultiple). Bezlich BUTє multiplicity of impersonality At yakscho be-yak X what to lay faceless BUT, lie faceless Art. Formally, you can look at the virazu:
(A Ì B) := " x((x Î A) Þ (x Î B))
Yakscho A Ì B, ale A ¹ B, then A is a clear submultiplier Art. Like a butt, you can restore it straight and straight. If the arms lie on a straight line, then a rich point is a multiple point on a straight line. But another example. Anonymous integers, yakі dilyatsya without excess by 3, є submultiple anonymous integers.
Respect. An empty multiplier is a submultiple, be it a multiplier.
Operations on multiplies
Over the impersonal, the following operations are possible:
United. The essence of this operation is to combine two multiples into one, to avenge the elements of the skin from multiples that are combined. Formally, it looks like this:
C=AÈ B:= {x:x Î A or xÎ B}
butt. Virіshimo nerіvnіst | 2 x+ 3 | > 7.
From a new standpoint or unevenness 2x+3 >7, for 2x+3≥0 then x>2
or unevenness 2x+3<-7, для 2x+3 <0, тогда x<-5.
An impersonal solution to this unevenness is the union of multiples (-∞,-5) È (2, ∞).
Let's revise. Porahuemo meaning viraz | 2 x+ 3 | for how many points to lie and not to lie in a given range:
| x | | 2 x+ 3 | |
| -10 | 17 |
| -6 | 9 |
| -5 | 7 |
| -4 | 5 |
| -2 | 1 |
| 0 | 3 |
| 1 | 5 |
| 2 | 7 |
| 3 | 9 |
| 5 | 13 |
Like Bachimo, everything is written correctly (the chervonim signifies the near-cordon ranges).
Peretin. Peretin is the operation of creating a new multiplier in two, in order to avenge the elements, as if to enter into offense and multiplier. To depict the exact value, let's notice that we have two multiplies points on the plane, and the figure A and figure B itself.
Formally, the multiplication operation is written as follows:
C=A Ç B:= (x: x Î A i x О B )
butt. Let us have an impersonal C=A Ç B = {5,6,7}
Vіdnіmannya. Vіdnіmannya mnozhin - tse vinyatok z vіdnіmaєtsya impersonal quiet elements, yakі mіstjatsya vіdnіmaєtsya i vіdchituvachi:
Formally, the multiples are written as follows:
A\B:={x:x Î A and xÏ B}
butt. Let us have an impersonal A = (1,2,3,4,5,6,7), B = (5,6,7,8,9,10). Todi C=A\ B = { 1,2,3,4}
Addition. Additional - this is a unary operation (an operation on two, and on one without a person). This operation is the result of the given multiplier from the same universal multiplier (multiplier, as it includes all other multipliers).
A := (x:x О U and x П A) = U \ A
Graphically, you can depict it at a glance:
Symmetrical difference. On the vіdmіnu vіd zvichaynoї raznitsi at symmetrical raznіtіnі many elements are left only those that are present either in one or another plurality. But, speaking in simple words, it is created from two multitudes, and then those elements are turned off from it, as if they are in this and in the other multitude:
Mathematically, it can be expressed like this:
A D B:= (A/B) È ( B&A) = (A È B) \ (A Ç B)
The power of operations over multiples.
The purpose of the association is that the network of many people is screaming, that the operation of the network of that association may be so powerful:
- Commutativity.
A
È
B=BÈ
A
AÇ
B=BÇ
A
- Associativity.
(A
È
B)
È
C=AÈ
( B
È
C)
(A
Ç
B)
Ç
C=AÇ
( B
Ç
C)
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Theory.
NEW. Natanzon S.M. Stylish course of mathematical analysis. 2004 rec. 98 pages djvu. 1.2 MB.
This publication is a short record of lectures given by the author to the course of lectures for 1st year students of the Independent Moscow University in 1997-1998 and 2002-2003 in the primary years.
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NEW. Y.B. Boronina. Mathematical analysis. Abstract of lectures. 2007 rec. 160 pages pdf. 2.1 MB.
This book was written for students of technical universities, as a way to get ready for mathematical analysis. The replacement of this book is in full support of the program for the course "Mathematical Analysis", as a kind of transfer of the great majority of the primary foundations of Russia. The program helps you to know how fast and without problems you need to know the need for food.
The supply was compiled by the author on the basis of a special report from the surviving of the victors.
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Arkhipov, Sadivnichiy, Chubarikov. Lectures on mathematical analysis. Assistant. Analysis. 1999 rec. 635 pages djvu. 5.2 MB.
The book, by a teacher in the course of mathematical analysis, is dedicated to the differential and integral calculation of the functions of one and the other number of changes. It is based on lectures given by the authors at the Faculty of Mechanics and Mathematics of the Moscow State University. M. V. Lomonosov. The tutor was given a new understanding of the basic principles to understand the theorems of analysis, and also to the very end of the course. For students of universities, pedagogical universities and universities with the destruction of mathematics
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Aksionov A.P. Mathematical analysis. (Rows Fur'є. Integral Fur'є. Summation of rows that diverge.) Primary aid. 1999 rec. 86 pages PDF 1.2 Mb.
A guide to the sovereign standard of the discipline "Mathematical Analysis" directly for bachelor's training 510200 "Applied Mathematics and Informatics".
To avenge the contribution of the theoretical material to a dignified program for the topics: "Rows of Fur'є", "Integral Fur'є", "Sumuvannya Ryadіv, scho diverge". A large number of butts were introduced. The presentation of the methods of Cesaro and Abel-Poisson in the theory of series was presented. Reviewed food about the harmonic analysis of functions, tasks empirically.
Appointments for students of the Faculty of Physics and Mechanics of specialties 010200, 010300, 071100, 210300, as well as for vikladachiv, to conduct practical employment.
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Aksionov. Mathematical analysis. (Integrals that lie in the parameter. Sustaining integrals. Curvilinear integrals.) Primary help of St. Petersburg. 2000 rec. 145 pages PDF. Rozmir: 2.3 Mb. djvu.
A guide to the sovereign standard of the discipline "Mathematical Analysis" directly for bachelor's training 510200 "Applied Mathematics and Informatics". The contribution of the theoretical material to a decent program for the topics: "Integrals that lie in the form of a parameter that is not correct", "Subjective integral", "Curvilinear integrals of the first and other kind", "Calculation of the area of curved surfaces, tasks as explicit, so and parametric equalizations", "Eulerian integrals (Beta function and Gamma function)". A large number of applicators and zavdans were selected (head number 47).
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De Bruin. Asymptotic methods of analysis. 245 pages djvu. 1.6 MB.
The book is an elementary tribute to a number of methods that are victorious in analysis for the possession of asymptotic formulas. The importance of the contributions to the book of methods, the accuracy and availability of the contribution to the publication of this book, and the knowledge of similar methods is valuable to all. The book is of great interest also for those who already know about visual analysis.
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Stefan Banach. Differential and integral numbers. 1966 rec. 437 pages djvu. 7.7 MB.
Stefan Banach is one of the greatest mathematicians of the 20th century. The reference book was conceived as a help for an initial knowledge of the subject. For an hour, the author went into the book of a small obsyagu maisterno visvitlit mayzhe all the main material of the differential and integral calculation, not influencing the scrupulous rigor of the reading of the reader.
The book resonates with its simplicity and conciseness. Vaughn to avenge a lot in the distance, picking up butts, and to inspire the task of independent decision. It is insured for students of higher education institutions (especially correspondence students), pedagogical institutes, as well as for engineering and technical practitioners, as it is necessary to refresh the memory of the main facts of differential and integral calculation.
Under the hour of preparation of another vidannya, the proof of the publication of the book has been insured by some of the most technical initial pledges; a small amount of additional money was added to the link to the book, as well as a few corrections to the text. Tse brought the book closer to the level of today's assistants from mathematical analysis, and it made it easier to win at higher educational institutions.
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B.M. Budak, S.V. Fomin. Multiple integrals of that row. Assistant. 1965 rec. 606 pages djvu. 4.6 MB.
For fiz.-mat. faculties of universities.
I RECOMMEND! Especially for FIZIKIV.
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Viosagmir I.A. Nayvischa mathematics for dummies. Between functions. 2011 rec. 95 pages pdf. 6.1 MB.
I hover over you at my first book, assigned to the boundaries of the function. This is the first part of my future series “Mathematics for Dummies”. The title of the book already may tell you a lot about it, but you may not understand it so well. This book is dedicated not to "teapots", but to all those who find it difficult to understand what professors do in their books. I am wondering what you will understand me. I myself have tried and tried in such a situation that it is simply embarrassing to read one and the same proposition a few times. Is it ok? I think no.
Then why does my book look like others? First of all, language is normal here, not "reasonable"; in a different way, here the mass of applications was ripped, yak, before speech, singsongly, you will be at your mercy; in a third way, the text can be suttevu raznitsa between itself - head speeches seen by singing markers, and, nareshti, my meta is only one - your rozuminnya. There is only one thing that matters to you: the bazhanya is vminnya. "Uminnya?" - Ask V. So! Remember to remember that mind.
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V.M. Gorbuzov. Mathematical analysis: integrals, which should be deposited according to parameters. Uch. help. 2006 rec. 496 pages PDF. 1.6 MB.
There are differential and integral calculations of functions, given by simple incomprehensible integrals, which lie in the form of parameters. Designated for students of universities, who are studying for mathematical and physical specialties, as well as for students of technical specialties from an extended program of mathematics.
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Dorogovtsev A.Ya. Mathematical analysis. A short course at the daily rate. Seeing a friend. 2004 rec. 560 pages djvu. 5.1 MB.
The book is to take a short and at the same time to complete the latest study of the material as a contribution to the current course of mathematical analysis. The book is secured by us for students of universities and technical VNZ and is recognized for cob education for the course. Modernizations were introduced to a number of divisions: functions of variables, multiple integrals, integrals over variances, the Stokes formula and int. Theoretical material is illustrated by a large number of right and applied examples. . For students of vis, mathematicians, engineering and technical practitioners.
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Egorov V.I., Salimova A.F. The sing and multiple integrals. Elements of field theory. 2004 rec. 256 pages djvu. 1.6 MB.
We have presented the theory and main additions of multiple and multiple integrals, as well as elements of field theory. The material of adaptation to modern programs of mathematical learning in higher technical primary foundations, to higher education in computer primary systems. The book is assigned to students of technical sciences. Vaughn can also be korisnoy vikladachs, engineers, scientists.
The book was cleverly written. All the proofs of the theory are shown on butts. I recommend as additional literature for understanding the material.
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Evgrafov. Asymptotic estimates for the whole functions. 320 pages djvu. 3.2 MB.
The book is devoted to the work of various methods of asymptotic estimations (Laplace method, pass method, winding theory) that are to be found in the theory of functions. The methods are illustrated more importantly on the basis of the theory. The main facts from the theory of whole functions are not passed on to readers - their contributions are organically included before the structure of the book. In 3rd edition, it was added about the asymptotic behavior of conformal expressions. The book is guaranteed for a wide contingent of readers - from students to scientists, as mathematicians, as well as applied scientists.
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Ya B. Zeldovich, I.M. Yaglom. Vishcha mathematics loya physicists and technicians, scho to start. 1982 rec. 514 pages djvu. 12.3 MB.
This book is an introduction to mathematical analysis. In a row with a book on the basis of analytical geometry and mathematical analysis (differential and integral calculations), the book seeks to understand the statistical and trigonometric series and about the simplest differential equations, as well as a number of divisions and topics of physics (mechanics of technology, laser technology, .). The book is secured for readers, as a natural addition to higher mathematics, university students and universities, as well as future physicists and engineers.
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Zeldovich, Yaglom. A book in three parts: 1. Elements of higher mathematics. Mist: Functions and graphs (50 lines) (, What is a derivative (50 lines), What is an integral (20 lines), Calculation of similar ones (20 lines), Integration technique (20 pages), Rows, simple dif- urivnyannia (35 pages), Further functions, a piece of science in geometry (55 p.) 3. Additives to topics from general mathematics (50 sides) functions 4. Appendices, Vіdpovіdі, Vkazіvki, Rіshennya.Usіkli, scho for a book? Super. djvu, 500 pages Rozmir 8.7 Mb.
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Zorich V.A. Mathematical analysis. At 2 parts. Pіdruchnik 1 - 1997, 2 - 1984. 567+640 sides djvu. 9.6+7.4 Mb.
University assistant for students of physical and mathematical specialties. You can be the best students of faculties and universities with an extended mathematical training, as well as faculty of mathematics and other supplements.
The first part has improved: introduction to analysis (logical symbolism, multiplicity, function, speech number, boundary, continuity); differential and integral calculation of functions of one variable; differential calculation of the functions of rich changes.
To the other part of the handbook, the inclusions were divided as follows: Bagatomirny іntegrаl. Differential forms and their integration. The rows and integrals, which lie in the parameter (including the rows of the Fourth transformation, as well as the asymptotic expansion).
Helpers for the accomplishment of the task.
NEW. Sadivnitska I.V., Khoroshilova E.V. Singing integral: theory and practice calculation. 2008 rec. 528 pages djvu. 2.7 MB.
The exhibition is dedicated to the theoretical and practical aspects of the calculation of the first integrals, as well as to the methods of their assessments, to the powers and additions to the completion of various geometric and physical tasks. The book is divided, dedicated to the methods of calculating the power integrals, the power of the non-wild integrals, the geometrical and physical additions of the singable integral, as well as to the specific cornerstones of the Riemann integral - the Lebesgue and Stiltjes integrals.
The contribution of the theoretical material was supplemented by a great number (over 220) of various examples of calculation, assessment and assessment of the powers of the singing integrals; for example, a skin paragraph should be given a task for an independent resolution (over 640, more important - with solutions).
Meta help - help the student for an hour of passage by those "Singing Integral" at lectures and practical exercises. Before the new one, a student can turn around to get additional information about nutrition, which is good. The book can also be written by the Korisny vikladachs and all those who are interested in reading this topic in detail and widely.
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NEW. Khoroshilova E.V. Mathematical analysis: inconsistency integral. (I will help with practical activities). 2007 rec. 184 pages djvu. 822 Kb.
The book introduces the main theoretical insights about non-trivial integrals, looks at more of the methods of integration and different classes of integration functions (from the designated methods of integration). The contribution to the material is supported by a large number of different examples of calculation of integrals (over 200 integrals), for example, a skin paragraph is given a task for independent development (over 200 orders with validation).
Посібник містить наступні параграфи: "Поняття невизначеного інтеграла", "Основні методи інтегрування", "Інтегрування раціональних дробів", "Інтегрування ірраціональних функцій", "Інтегрування тригонометричних функцій", "Інтегрування гіперболічних, показових, логарифмічних та інших трансцендентних функцій". The book is recognized for mastering the practical theory of the unimportant integral, for the development of practical integration skills, for consolidating the course of lectures, for voicing at seminars and for the preparation of homework. Meta help - to help the student in mastering different methods and methods of integration.
For university students, including those with mathematical specialties, they receive integral calculations in the framework of the course of mathematical analysis.
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NEW. V.F. Butuzov, N.Ch. Krutitska, G.M. Medvedev, A.A. Shishkin. Mathematical analysis in nutrition and tasks: Navch. help. 5th species., Vipr. 2002 rec. 480 pages djvu. 3.8 MB.
The helper ohoplyu all divided the course of mathematical analysis of the functions of one and the other few. On the topic of skin, the main theoretical recommendations and the introduction of control nutrition are briefly outlined; suggest solutions to standard and non-standard tasks; given zavdannya and the right for independent work with vodpovidami and vkazіvkam. Quarter vidannya 2001
For students of higher initial mortgages.
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A.A. Burtsiv. Methods for reviewing examination tasks for mathematical analysis of the 2nd semester of the 1st year. 2010 rec. pdf, 56 pages 275 Kb.
Options ahead for chotiri in front. fate.
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Vinogradova I. A. ta in. The task is right for mathematical analysis (part 1). 1988 rec. djvu, 416 pages 5.0 Mb.
The collection is compiled on the basis of materials to take from the course of mathematical analysis at the 1st course of the Faculty of Mechanics and Mathematics of the Moscow State University and to revise the certificate of the Department of Mathematical Analysis. The wine is made up of two parts, which are valid for the 1st and 2nd semester. In the skin part, it is clear that the calculation is right and the theoretical task. The first part includes sketches of graphs of functions, calculation of inter, differential calculation of functions of a single dynamical, theoretical task. The other part is the inconsistency of the integral, Riemann's simple integral, the differential calculation of the functions of the rich changing, theoretical tasks. In the divisions, which have the right to retaliate, the leather paragraph is redone with burnt methodical remarks. They have given all the victories in this paragraph of the designation, the formulation of the main theorems, the derivation of some necessary specialties, the presentation of the report solutions of characteristic tasks, the brutal respect for the pardons that are often spoken about. The greater task and the right of the head of the head, as in the case of the famous task book B.P. Demidovich. Approximately 1,800 rights to the calculation of 350 theoretical tasks are included in the corresponding part of the collection.
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Vinogradova I. A. ta in. The task is right for mathematical analysis (part 2). 1991 rec. djvu, 352 pages 3.2 MB.
The problem-solving student follows the course of mathematical analysis, which is applied to another course, and to avenge the advances, they divided: subvariant and secondary integrals and both geometric and physical programs, curvilinear and superficial integrals of the first and other kind. Necessary theoretical information, typical algorithms, adjuncts to the variance of the whole class of assignments are suggested, a methodological report is given.
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Vinogradova et al. Pid ed. Gardener. The task is right for mathematical analysis. 51 pages PDF. 1.9 MB.
It was also reportedly reviewed the distribution of stimulating graphs. 35 sides are occupied by examined stocks.
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Zhovtukhin. Insignificant integrals: calculation methods. 2005 rec. Rozmir: 427 Kb. PDF, 80 pages Korisny help can be vikoristovuvat as a dovidnik. He has not only been given all the methods for calculating integrals, but he has introduced an impersonal application on the skin rule. I recommend.
take advantage
Zaporzhets. Curiosity to the completion of tasks in mathematical analysis. 4th view. 460 pages djvu. 7.7 MB.
Okhoplyuє vsі razdіli vіd doslіdzhennya funktsіy until razvyazannya difurіv. Core book.
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Kalinin, Petrova, Kharin. Insignificant and linear integrals. 2005 rec. 230 pages PDF. 1.2 MB.
Nareshty mathematicians began to write books for physicists and other students of technical specialties, and not for themselves. I recommend that if you want to learn how to calculate, and not bring the lemma of that theorem.
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Kalinin, Petrova. Multiple, curvilinear and surface integrals. Head helper. 2005 rec. 230 pages PDF. 1.2 MB.
At this helper, the butt of the calculation of various integrals was brought.
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Kaplan. Practical occupations with Vishchoy Mathematics. Analytical geometry, differential calculation, integral calculation, difurcation integration. Have 2 files in one archive. Zagalni 925 side. 6.9 MB.
Applied to the solution of problems in the first course of foreign mathematics.
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K.M. Lungu and in. Collection of Heads of Higher Mathematics. Part 2 for the 2nd course. 2007 rec. djvu, 593 pages 4.1 Mb.
Series and integrations. Vector and complex analysis. Differential equalization. Theory of immovability. Operational Literature. Tse is not just a problem book, but a self-reader. According to the new one, you can learn how to complete tasks.
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Lungu, Makariv. Vishcha mathematics. Kerіvnitstvo cherіshennya zavdan. Part 1. 2005 rec. Rozmir: 2.2 Mb. djvu, 315 pages
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I.A. Maroon. Differential and integral calculations in applications and tasks (Functions of one change). 1970 rec. djvu. 400 pages 11.3 MB.
The book is a helper for solving the problem of mathematical analysis (functions of one change). To give a short theoretical introduction, the development of typical stocks and a task for independent development. Krіm is the task of an algorithmic-calculative character, it has a rich task, which illustrates the theory and adheres to the most learned, which develops independent mathematical ideas of the students. Meta-books-teach students independently virishuvati tasks in the course of mathematical analysis
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D.T. Letters. Great Mathematics 100 Exam Questions. 1999 rec. djvu. 304 pages 9.3 MB.
This helper of appointments is for students, as they are getting ready to learn more mathematics in the 1st year. It is necessary to take the exams in a short accessible form for examining mental health. The helper can be used for all categories of students, as they teach mathematics to others. It is necessary to avenge the necessary material from 10 divisions in the course of higher mathematics, as it sounds like students in the first year of the university (technical school). Approvals for 108 examinations (with subpoints - significantly more) are accompanied, as a rule, by the completion of the examinations.
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Sobol B.V., Mishnyakov N.T., Porksheyan V.M. Practicum from higher mathematics. 2006 rec. 630 pages djvu. 5.4 MB.
Before the book, all the divisions of the standard course of higher mathematics to a wide range of specialties of higher education were taken.
The skin chapter (the main part of the course) is to cover the preliminary material, and to develop the main theoretical positions, the necessary completion of the task. The peculiarity of this vision is the great number of tasks and solutions, which allows you to win not only for the classroom, but also for independent work of students. Tasks are submitted to those systematized according to the methods of solution. To complete the chapter on the skin, set the task of an independent decision, to ensure that the results are correct.
The versatility of the material and the visual compactness of this vision allow us to recommend it to students of higher primary degrees, as well as to listeners of institutes for advanced qualifications, so that they can systematize their knowledge of this subject.
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Y.P. Sulyandziga, G.A. Ushakov. TESTS OF MATHEMATICS: BETWEEN, VIROBNICH, ELEMENTS OF ALGEBRI AND GEOMETRY. Uch. help. 2009 rec. pdf, 127 pages 1.1 Mb.
The proponation of the chief's help can be like a collection of the head. Zavdannya oshoplyuyut traditional topics - the foundations of mathematical analysis: the function, and between that pokhidnu. Present problems of the foundations of linear algebra and analytical geometry. Oskіlki interzha i pokhіdna funktії є foldable, і, moreover, tsі those є fundamental for іntegralnogo calculus, їm attached the greatest respect: report rozіbranі solutions of typical zavdan. The materials were repeatedly selected from the head assistant during practical exercises.
For students of the first course of all.
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Enthusiasm...