Advanced Calculus
  • Alternative view 1 of Advanced Calculus
  • Alternative view 2 of Advanced Calculus

Advanced Calculus

by Avner Friedman
     
 

View All Available Formats & Editions

ISBN-10: 0486457958

ISBN-13: 9780486457956

Pub. Date: 03/15/2007

Publisher: Dover Publications


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

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:
9780486457956
Publisher:
Dover Publications
Publication date:
03/15/2007
Series:
Dover Books on Mathematics Series
Pages:
432
Sales rank:
1,234,961
Product dimensions:
5.40(w) x 8.40(h) x 0.90(d)

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,

Customer Reviews

Average Review:

Write a Review

and post it to your social network

     

Most Helpful Customer Reviews

See all customer reviews >