Functions and Graphs

Nonfiction, Science & Nature, Mathematics, Graphic Methods
Cover of the book Functions and Graphs by E. G. Glagoleva, E. E. Shnol, I. M. Gelfand, Dover Publications
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Author: E. G. Glagoleva, E. E. Shnol, I. M. Gelfand ISBN: 9780486317137
Publisher: Dover Publications Publication: April 9, 2013
Imprint: Dover Publications Language: English
Author: E. G. Glagoleva, E. E. Shnol, I. M. Gelfand
ISBN: 9780486317137
Publisher: Dover Publications
Publication: April 9, 2013
Imprint: Dover Publications
Language: English
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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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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