File Name: piskunov differential and integral calculus .zip
Chapter 1 differential equations chapter 2 multiple integrals chapter 3 line integrals and surface integrals chapter 4 series chapter 5 fourier series chapter 6 equations of mathematical physics chapter 7 operational calculus and certain of its applications chapter 8 elements of the theory of probability and mathematical statistic chapter 9 matrices appendix index.
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In mathematics, differential calculus is a subfield of calculus concerned with the study of the rates at which quantities change. It is one of the two traditional divisions of calculus, the other being integral calculus, the study of the area beneath a curve. The primary objects of study in differential calculus are the derivative of a function, related notions such as the differential, and. Differential and integral calculus. This book consist as a first course in the calculus. In the treatment of each topic, the text is intended to contain a precise statement of the fundamental principle involved, and to insure the student's clear understanding of this principle, without districting his attention by the discussion of a multitude. Integral Calculus is the branch of calculus where we study about integrals and their properties.
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4. Differentiability of Functions 5. Finding the Derivatives of Elementary Functions. The Derivative of the Function y=x", Where n Is Positive and Integral.
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This chapter has been written with the same attention to clearness and completeness that marks all other sections of the book. Also, cylindrical. The problems have in general been completely revised, and in some respects their appeal and interest have been increased.
This text is designed as a course of mathematics for higher technical schools. It contains many worked examples that illustrate the theoretical material and serve as models for solving problems. Some of the questions that are usually discussed in these chapters have been put in the third and subsequent chapters without loss of continuity. This has made it possible to take up very early the basic concept of differential calculus—the derivative— which is required in the study of technical subjects. Experience has shown this arrangement of the material to be the best and most convenient for the student. A large number of problems have been included, many of which illustrate the interrelationships of mathematics and other disciplines. The problems are specially selected and in sufficient number for each section of the course thus helping the student to master the theoretical material.
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