Essential Calculus with Applications by Silverman, Richard A.

by Silverman, Richard A. | PB | Good
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Binding
Paperback
Book Title
Essential Calculus with Applications
Weight
0 lbs
Product Group
Book
IsTextBook
No
ISBN
9780486660974
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Product Identifiers

Publisher
Dover Publications, Incorporated
ISBN-10
0486660974
ISBN-13
9780486660974
eBay Product ID (ePID)
681478

Product Key Features

Number of Pages
320 Pages
Language
English
Publication Name
Essential Calculus with Applications
Subject
Calculus
Publication Year
1989
Type
Textbook
Subject Area
Mathematics
Author
Richard A. Silverman
Series
Dover Books on Mathematics Ser.
Format
Trade Paperback

Dimensions

Item Height
0.6 in
Item Weight
15.7 Oz
Item Length
9.3 in
Item Width
6.2 in

Additional Product Features

Intended Audience
College Audience
LCCN
89-033584
Dewey Edition
20
Illustrated
Yes
Dewey Decimal
515
Table Of Content
To the Instructor; To the Student Chapter 1. Mathematical Background 1.1 Introductory Remarks 1.2 Sets 1.3 Numbers 1.4 Inequalities 1.5 The Absolute Value 1.6 Intervals and Neighborhoods 1.7 Rectangular Coordinates 1.8 Straight Lines 1.9 More about Straight Lines Chapter 2. Differential Calculus 2.1 Functions 2.2 More about Functions 2.3 Graphs 2.4 Derivatives and Limits 2.5 More about Derivatives 2.6 More about Limits 2.7 Differentiation Technique 2.8 Further Differentiation Technique 2.9 Other Kinds of Limits Chapter 3. Differentiation as a Tool 3.1 Velocity and Acceleration 3.2 Related Rates and Business Applications 3.3 Properties of Continuous Functions 3.4 Properties of Differentiable Functions 3.5 Applications of the Mean Value Theorem 3.6 Local Extrema 3.7 Concavity and Inflection Points 3.8 Optimization Problems Chapter 4. Integral Calculus 4.1 The Definite Integral 4.2 Properties of Definite Integrals 4.3 The Logarithm 4.4 The Exponential 4.5 More about the Logarithm and Exponential 4.6 Integration Technique 4.7 Improper Integrals Chapter 5. Integration as a Tool 5.1 Elementary Differential Equations 5.2 Problems of Growth and Decay 5.3 Problems of Motion Chapter 6. Functions of Several Variables 6.1 From Two to n Dimensions 6.2 Limits and Differentiation 6.3 The Chain Rule 6.4 Extrema in n Dimensions Tables; Selected Hints and Answers; Supplementary Hints and Answers; Index
Synopsis
Clear undergraduate-level introduction to background math, differential calculus, differentiation, integral calculus, integration, functions of several variables, more. Numerous problems, with new "Hints and Answers" section., Calculus is an extremely powerful tool for solving a host of practical problems in fields as diverse as physics, biology, and economics, to mention just a few. In this rigorous but accessible text, a noted mathematician introduces undergraduate-level students to the problem-solving techniques that make a working knowledge of calculus indispensable for any mathematician. The author first applies the necessary mathematical background, including sets, inequalities, absolute value, mathematical induction, and other "precalculus" material. Chapter Two begins the actual study of differential calculus with a discussion of the key concept of function, and a thorough treatment of derivatives and limits. In Chapter Three differentiation is used as a tool; among the topics covered here are velocity, continuous and differentiable functions, the indefinite integral, local extrema, and concrete optimization problems. Chapter Four treats integral calculus, employing the standard definition of the Riemann integral, and deals with the mean value theorem for integrals, the main techniques of integration, and improper integrals. Chapter Five offers a brief introduction to differential equations and their applications, including problems of growth, decay, and motion. The final chapter is devoted to the differential calculus of functions of several variables. Numerous problems and answers, and a newly added section of "Supplementary Hints and Answers," enable the student to test his grasp of the material before going on. Concise and well written, this text is ideal as a primary text or as a refresher for anyone wishing to review the fundamentals of this crucial discipline., Rigorous but accessible text introduces undergraduate-level students to necessary background math, then clear coverage of differential calculus, differentiation as a tool, integral calculus, integration as a tool, and functions of several variables. Numerous problems and a supplementary section of "Hints and Answers." 1977 edition.
LC Classification Number
QA303.S554

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