Synopses & Reviews
Everything you need to knowbasic essential conceptsabout calculus
For anyone looking for a readable alternative to the usual unwieldy calculus text, heres a concise, no-nonsense approach to learning calculus. Following up on the highly popular first edition of Understanding Calculus, Professor H. S. Bear offers an expanded, improved edition that will serve the needs of every mathematics and engineering student, or provide an easy-to-use refresher text for engineers.
Understanding Calculus, Second Edition provides in a condensed format all the material covered in the standard two-year calculus course. In addition to the first editions comprehensive treatment of one-variable calculus, it covers vectors, lines, and planes in space; partial derivatives; line integrals; Greens theorem; and much more. More importantly, it teaches the material in a unique, easy-to-read style that makes calculus fun to learn. By explaining calculus concepts through simple geometric and physical examples rather than formal proofs, Understanding Calculus, Second Edition, makes it easy for anyone to master the essentials of calculus.
If the dry "theorem-and-proof" approach just doesnt work, and the traditional twenty pound calculus textbook is just too much, this book is for you.
Review
"...expands coverage to vectors and calculus of several variables...plenty of worked out problems..." (
American Mathematical Monthly, August/September 2003)
"...material included is well formulated and approachable...recommended." (Choice, Vol. 41, No. 1, September 2003)
Synopsis
Mathematics Understanding Calculus A User's Guide A volume in the IEEE Press Understanding Science & Technology Series 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.
Synopsis
"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."
Sponsored by:
IEEE Education Society
About the Author
About the Author H. S. Bear is a prolific author who has published several pre-calculus texts and an intermediate-level differential equations text, in addition to numerous research articles, during his long writing career. His most recent works include two publications on mathematical analysis, A Primer of Lebesgue Integration (Academic Press. 1995) and An Introduction to Mathematical Analysis (Academic Press, 1997). A dedicated educator, Dr. Bear has taught at several large universities, but has spent most of his career at the University of Hawaii, where he served as both department chairman and graduate chairman.
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.