Advanced Calculus
eBook - ePub

Advanced Calculus

  1. 432 pages
  2. English
  3. ePUB (mobile friendly)
  4. Available on iOS & Android
eBook - ePub

Advanced Calculus

Book details
Table of contents
Citations

About This Book

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.

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Information

Publisher
Dover Publications
Year
2012
ISBN
9780486137865
Topic
Mathématiques
Subtopic
Calcul

Table of contents

  1. Cover
  2. Title Page
  3. Copyright Page
  4. Contents
  5. Preface
  6. Part One Functions of One Variable
  7. Part Two Functions of Several Variables
  8. Answers to Problems
  9. Index