Understanding Calculus: A User's Guide / Edition 1

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Overview

The subject of calculus does not usually evoke adjectives like ""simple"" and ""concise."" Traditional calculus texts have involved a more comprehensive, theoretical approach than is appropriate for those learning this critically important subject for its utilitarian value.

This succinct, innovative text:

  • Presents the standard material of single-variable calculus in a simple and concise manner.
  • Explains essential calculus concepts through simple geometric and physical examples rather than formal proofs.
  • Teaches future engineers the essential calculus they will need to succeed in their profession, making it an eminently suitable text for two-term calculus courses taught in schools of engineering.
  • Provides engineering professionals with a ready resource for the calculus techniques they may have forgotten.
  • Makes calculus accessible to readers whose prior knowledge may only include high school algebra but who need to utilize calculus for academic or professional advancement.

"...presents the standard material of single-variable calculus in a simple and concise manner...explains essential calculus concepts through clear geometric and physical examples rather than formal proofs."

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Editorial Reviews

Booknews
Retired mathematician Bear (U. of Hawaii) continues to produce textbooks and other mathematical works. Here he offers a tutorial by which students who want to use calculus in some other field can learn it without all the theoretical foundations required by most texts. His treatment is not formal, he says, but it is correct, and students who go on to more advanced study will not have to unlearn anything. He does not cite any references. Annotation c. Book News, Inc., Portland, OR (booknews.com)
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Product Details

  • ISBN-13: 9780780360181
  • Publisher: Wiley, John & Sons, Incorporated
  • Publication date: 1/28/2001
  • Series: IEEE Press Understanding Science & Technology Series , #12
  • Edition description: Older Edition
  • Edition number: 1
  • Pages: 224
  • Product dimensions: 6.97 (w) x 9.90 (h) x 0.49 (d)

Table of Contents

Author's Message to the Reader.
Acknowledgments.
Lines.
Parabolas, Ellipses, Hyperbolas.
Differentiation.
Differentiation Formulas.
The Chain Rule.
Trigonometric Functions.
Exponential Functions and Logarithms.
Inverse Functions.
Derivatives and Graphs.
Following the Tangent Line.
The Indefinite Integral.
The Definite Integral.
Work, Volume, and Force.
Parametric Equations.
Change of Variable.
Integrating Rational Functions.
Integration By Parts.
Trigonometric Integrals.
Trigonometric Substitution.
Numerical Integration.
Limits At ∞ ; Sequences.
Improper Integrals.
Series.
Power Series.
Taylor Polynomials.
Taylor Series.
Separable Differential Equations.
First-Order Linear Equations.
Homogeneous Second-Order Linear Equations.
Nonhomogeneous Second-Order Equations.
Answers.
Index.
About the Author.
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