Functions and Graphs (eBook)

I. M. Gelfand, E. G. Glagoleva, E. E. Shnol (Autoren)

eBook Download: EPUB

2013
112 Seiten
Dover Publications (Verlag)
978-0-486-31713-7 (ISBN)

Infos

This text demonstrates the fundamentals of graph theory. The 1st part employs simple functions to analyze basics; 2nd half deals with linear functions, quadratic trinomials, linear fractional functions, power functions, rational functions. 1969 edition.

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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.

Inhalt

ForewordIntroductionCHAPTER 1 ExamplesCHAPTER 2 The Linear FunctionCHAPTER 3 The Function y = xCHAPTER 4 The Quadratic TrinomialCHAPTER 5 The Linear Fractional FunctionCHAPTER 6 Power FunctionsCHAPTER 7 Rational FunctionsProblems for Independent SolutionAnswers and Hints to Problems and ExercisesMarked by the Sign

Produkt-Details

• Erscheint lt. Verlag: 9.4.2013
• Reihe/Serie: Dover Books on Mathematics
• Reihe/Serie: Dover Books on Mathematics
• Sprache: englisch
• Themenwelt: Mathematik / Informatik ► Mathematik
• ISBN-10: 0-486-31713-7 / 0486317137
• ISBN-13: 978-0-486-31713-7 / 9780486317137