Advanced Calculus

Advanced Calculus

by Avner Friedman
     
 

ISBN-10: 0030839831

ISBN-13: 9780030839832

Pub. Date: 01/01/1971

Publisher: Holt McDougal


This rigorous two-part treatment advances from functions of one variable to those of several variables. Intended for students who have already completed a one-year course in elementary calculus, it defers the introduction of functions of several variables for as long as possible, and adds clarity and simplicity by avoiding a mixture of heuristic and rigorous…  See more details below

Overview


This rigorous two-part treatment advances from functions of one variable to those of several variables. Intended for students who have already completed a one-year course in elementary calculus, it defers the introduction of functions of several variables for as long as possible, and adds clarity and simplicity by avoiding a mixture of heuristic and rigorous arguments.
The first part explores functions of one variable, including numbers and sequences, continuous functions, differentiable functions, integration, and sequences and series of functions. The second part examines functions of several variables: the space of several variables and continuous functions, differentiation, multiple integrals, and line and surface integrals, concluding with a selection of related topics. Complete solutions to the problems appear at the end of the text.

Product Details

ISBN-13:
9780030839832
Publisher:
Holt McDougal
Publication date:
01/01/1971
Pages:
423

Related Subjects

Table of Contents

Contents

Preface,
part one FUNCTIONS OF ONE VARIABLE,
1 NUMBERS AND SEQUENCES,
2 CONTINUOUS FUNCTIONS,
3 DIFFERENTIABLE FUNCTIONS,
4 INTEGRATION,
5 SEQUENCES AND SERIES OF FUNCTIONS,
part two FUNCTIONS OF SEVERAL VARIABLES,
6 SPACE OF SEVERAL VARIABLES AND CONTINUOUS FUNCTIONS ON IT,
7 DIFFERENTIATION,
8 MULTIPLE INTEGRALS,
9 LINE AND SURFACE INTEGRALS,
10 SELECTED TOPICS,
ANSWERS TO PROBLEMS,
Index,

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