Description

Designed for a one-semester advanced calculus course, Advanced Calculus explores the theory of calculus and highlights the connections between calculus and real analysis -- providing a mathematically sophisticated introduction to functional analytical concepts. The text is interesting to read and includes many illustrative worked-out examples and instructive exercises, and precise historical notes to aid in further exploration of calculus.

Ancillary list:
* Companion website, Ebook- http://www.elsevierdirect.com/product.jsp?isbn=9780123749550
* Student Solutions Manual- To come
* Instructors Solutions Manual- To come

 

Key Features

  • Appropriate rigor for a one-semester advanced calculus course
  • Presents modern materials and nontraditional ways of stating and proving some results
  • Includes precise historical notes throughout the book
    outstanding feature is the collection of exercises in each chapter
  • Provides coverage of exponential function, and the development of trigonometric functions from the integral

Readership

Advanced undergraduate and graduate students taking a course in advanced calculus.

Table of Contents

Sets, Numbers and Functions; Sequences; Infinite Series; Continuity; Differentiation; Integration; Commutation of Limit Operations; Appendices

Details

No. of pages:
392
Language:
English
Copyright:
© 2010
Published:
Imprint:
Academic Press
Electronic ISBN:
9780080959320
Print ISBN:
9780123749550

About the authors