Calculus

Calculus: single and multivariable

by Bretscher, Otto K. Hughes-Hallett, Deborah Marks, Elliot J.

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Title Statements

  • Full title :Calculus : single and multivariable / produced by the consortium based at Harvard and funded by a National Science Foundation Grant ; Deborah Hughes-Hallett [and others] ; with the assistance of Otto K. Bretscher [and others] ; coordinated by Elliot J. Marks.

Edition Statements

  • Publication Date:©2009.
  • Edition:5th ed

Publication Statements

  • Publisher(s):Wiley
  • Place of Publication:Hoboken, N.J
  • Language:eng
  • Publication Date:©2009.

Notes

Includes index.

Previous edition: 2007.

The Physical Object

  • Description:xviii, 1149 pages : : illustrations (some color) ; : 28 cm

Edition Identifiers

  • ISBN:0470089148, 9780470089149, 0470409444, 9780470409442
  • oclc:ocn981070264
  • LC Classification:QA303
  • Dewey Decimal:515

Table of Contents

A library of functions -- Key concept: the derivative -- Short-cuts to differentiation -- Using the derivative -- Key concept: the definite integral -- Constructing antiderivatives -- Integration -- Using the definite integral -- Sequences and series -- Approximating functions using series -- Differential equations -- Functions of several variables -- A fundamental tool: vectors -- Differentiating functions of several variables -- Optimization: local and globlal extrema -- Integrating functions of several variables -- Parameterization and vector fields -- Line integrals -- Flux integrals -- Calculus of vector fields -- Appendix -- Ready reference -- Answers to odd numbered problems -- Index.

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