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Functions and Graphs (Dover Books on Mathematics)

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Functions and Graphs (Dover Books on Mathematics) Cover

 

Synopses & Reviews

Publisher Comments:

The second in a series of systematic studies by a celebrated mathematician I. M. Gelfand and colleagues, this volume presents students with a well-illustrated sequence of problems and exercises designed to illuminate the properties of functions and graphs. Since readers do not have the benefit of a blackboard on which a teacher constructs a graph, the authors abandoned the customary use of diagrams in which only the final form of the graph appears; instead, the book's margins feature step-by-step diagrams for the complete construction of each graph. The first part of the book employs simple functions to analyze the fundamental methods of constructing graphs. The second half deals with more complicated and refined questions concerning linear functions, quadratic trinomials, linear fractional functions, power functions, and rational functions.

Synopsis:

This volume presents students with problems and exercises designed to illuminate the properties of functions and graphs. The 1st part of the book employs simple functions to analyze the fundamental methods of constructing graphs. The 2nd half deals with more complicated and refined questions concerning linear functions, quadratic trinomials, linear fractional functions, power functions, and rational functions. 1969 edition.

Table of Contents

Foreword

Introduction

CHAPTER 1

  Examples

CHAPTER 2

  The Linear Function

CHAPTER 3

  The Function y = x

CHAPTER 4

  The Quadratic Trinomial

CHAPTER 5

  The Linear Fractional Function

CHAPTER 6

  Power Functions

CHAPTER 7

  Rational Functions

Problems for Independent Solution

Answers and Hints to Problems and Exercises

Marked by the Sign

Product Details

ISBN:
9780486425641
Author:
Gel'fand, I. M.
Publisher:
Dover Publications
Author:
Glagoleva, E. G.
Author:
D
Author:
Shnol, E. E.
Author:
I. M. Gelfan
Author:
Gelfand, I. M.
Author:
Mathematics
Location:
Mineola, N.Y.
Subject:
Calculus
Subject:
Graphic Methods
Subject:
Functions
Subject:
General Mathematics
Subject:
Mathematics-Calculus
Edition Number:
Dover ed.
Edition Description:
Trade Paper
Series:
Dover Books on Mathematics
Series Volume:
no. 11
Publication Date:
20021031
Binding:
TRADE PAPER
Language:
English
Illustrations:
137 figs.
Pages:
112
Dimensions:
8.5 x 5.38 in 0.38 lb

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Functions and Graphs (Dover Books on Mathematics) Used Trade Paper
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Product details 112 pages Dover Publications - English 9780486425641 Reviews:
"Synopsis" by ,
This volume presents students with problems and exercises designed to illuminate the properties of functions and graphs. The 1st part of the book employs simple functions to analyze the fundamental methods of constructing graphs. The 2nd half deals with more complicated and refined questions concerning linear functions, quadratic trinomials, linear fractional functions, power functions, and rational functions. 1969 edition.
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