Mathematical Analysis: Differentiation and Integration is devoted to two basic operations of mathematical analysis, differentiation and integration. The problems directly connected with the operations of differentiation and integration of functions of one or several variables are discussed, together with elementary generalizations of these operations. This volume is comprised of seven chapters and begins by considering the differentiation of functions of one variable and of n variables, paying particular attention to derivatives and differentials as well as their properties. The next chapter deals with composite and implicit functions of n variables in connection with differentiation, along with the representation of functions in the form of superpositions. Subsequent chapters offer detailed accounts of systems of functions and curvilinear coordinates in a plane and in space; the integration of functions; and improper integrals. The final chapter examines the transformation of differential and integral expressions. This book will be a useful resource for mathematicians and mathematics students.

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Yes, you can access Mathematical Analysis by I.G. Aramanovich,R. S. Guter,L.A. Lyusternik, I. N. Sneddon in PDF and/or ePUB format, as well as other popular books in Mathematics & Algebra. We have over one million books available in our catalogue for you to explore.

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Front Cover
Mathematical Analysis: Differentiation and Integration
Copyright Page
Table of Contents
FOREWORD
NOTATION
CHAPTER 1. THE DIFFERENTIATION OF FUNCTIONS OF ONE VARIABLE
CHAPTER 2. THE DIFFERENTIATION OF FUNCTIONS OF n VARIABLES
CHAPTER 3. COMPOSITE AND IMPLICIT FUNCTIONS OF n VARIABLES
CHAPTER 4. SYSTEMS OF FUNCTIONS AND CURVILINEAR COORDINATES IN A PLANE AND IN SPACE
CHAPTER 5. THE INTEGRATION OF FUNCTIONS
CHAPTER 6. IMPROPER INTEGRALS. INTEGRALS DEPENDENT ON A PARAMETER. STIELTJES' INTEGRAL
CHAPTER 7. THE TRANSFORMATION OF DIFFERENTIAL AND INTEGRAL EXPRESSIONS
APPENDIXES
REFERENCES
INDEX
OTHER TITLES IN THE SERIES

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