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 analyse 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.
By:
I. M. Gelfand, E. G. Glagoleva, E. E. Shnol Imprint: Dover Country of Publication: United States Dimensions:
Height: 203mm,
Width: 174mm,
Spine: 7mm
Weight: 161g ISBN:9780486425641 ISBN 10: 0486425649 Pages: 112 Publication Date:16 October 2002 Audience:
General/trade
,
ELT Advanced
Format:Paperback Publisher's Status: Active
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
