Functions and Graphs

Overview


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 ...
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Functions and Graphs

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Overview


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.
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Product Details

  • ISBN-13: 9780486425641
  • Publisher: Courier Corporation
  • Publication date: 10/16/2002
  • Series: Dover Books on Mathematics Series
  • Edition description: DOVER
  • Pages: 114
  • Sales rank: 637,211
  • Product dimensions: 5.50 (w) x 8.50 (h) x 0.24 (d)

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
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  • Anonymous

    Posted August 30, 2004

    An insightful introduction to analytic geometry.

    This brief text gives a lucid introduction to analytic geometry that is notable for the extent to which the authors go to explain why the graphs of the functions they discuss have the properties they do and the many challenging problems the authors include. The authors discuss the properties and graphs of linear functions, absolute value functions, quadratic functions, linear fractional functions, power functions, and rational functions. The text concludes with a chapter length problem set full of challenging problems that will test whether the reader has fully understood the material. While the exercises do not require calculus, the reader may wish to revisit these problems once she or he has had calculus in order to more fully understand the graphs. Answers and hints to a few of the exercises are given in the back of the text.

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  • Anonymous

    Posted October 27, 2008

    No text was provided for this review.

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