Understanding calculus

H.S. Bear

318 pages, parution le 14/10/2003 (2^eme édition)

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Résumé

Everything you need to know-basic essential concepts-about calculus

For anyone looking for a readable alternative to the usual unwieldy calculus text, here's 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 edition's comprehensive treatment of one-variable calculus, it covers vectors, lines, and planes in space; partial derivatives; line integrals; Green's 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 doesn't work, and the traditional twenty pound calculus textbook is just too much, this book is for you.

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 &#8734 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
Vectors
The Dot Product
Lines and Planes in Space
Surfaces
Partial Derivatives
Tangent Plane and Differential Approximation
Chain Rules
Gradient and Directional Derivatives
Maxima and Minima
Double Integrals
Line Integrals
Green's Theorem
Exact Differentials
Answers
Index

L'auteur - H.S. Bear

H. S. BEAR, PhD, is a prolific author who has published several pre-calculus texts and an intermediate-level differential equations text, in addition to numerous research articles. His most recent works include two more advanced texts in analysis: A Primer of Lebesgue Integration, Second Edition and An Introduction to Mathematical Analysis. A dedicated educator, Dr. Bear has taught at six major western state universities before moving to Hawaii, where he has spent most of his career. Dr. Bear has served both as Department Chairman and Graduate Chairman at the University of Hawaii.

Caractéristiques techniques

	PAPIER
Éditeur(s)	Wiley
Auteur(s)	H.S. Bear
Parution	14/10/2003
Édition	2^eme édition
Nb. de pages	318
Format	17,7 x 25,3
Couverture	Broché
Poids	560g
Intérieur	Noir et Blanc
EAN13	9780471433071
ISBN13	978-0-471-43307-1