Thinking in problems

Thinking in problems: how mathematicians find creative solutions

by Roytvarf, Alexander A.

Type Book
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This concise, self-contained textbook gives an in-depth look at problem-solving from a mathematician's point-of-view. Each chapter builds off the previous one, while introducing a variety of methods that could be used when approaching any given problem. Creative thinking is the key to solving mathematical problems, and this book outlines the tools necessary to improve the reader's technique. The text is divided into twelve chapters, each providing corresponding hints, explanations, and finaliza…

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Title Statements

  • Full title :Thinking in problems : how mathematicians find creative solutions / Alexander A. Roytvarf.

Summary

This concise, self-contained textbook gives an in-depth look at problem-solving from a mathematician's point-of-view. Each chapter builds off the previous one, while introducing a variety of methods that could be used when approaching any given problem. Creative thinking is the key to solving mathematical problems, and this book outlines the tools necessary to improve the reader's technique. The text is divided into twelve chapters, each providing corresponding hints, explanations, and finalization of solutions for the problems in the given chapter.

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Edition Statements

  • Publication Date:©2013.

Publication Statements

  • Publisher(s):Birkhäuser
  • Place of Publication:New York
  • Language:eng
  • Publication Date:©2013.

The Physical Object

  • Description:xxxvii, 405 pages : : illustrations ; : 24 cm

Edition Identifiers

  • ISBN:9780817684051, 0817684050, 9780817684068, 0817684069
  • oclc:ocn812067036
  • LC Classification:QA9
  • Dewey Decimal:510.1

Table of Contents

Jacobi identities and related combinatorial formulas -- A property of recursive sequences -- A combinatorial algorithm in multiexponential analysis -- A frequently encountered determinant -- A dynamical system with a strange attractor -- Polar and singular value decomposition theorems -- 2x2 matrices that are roots of unity -- A property of orthogonal matrices -- Convexity and related classic inequalities -- One-parameter groups of linear transformations -- Some problems in combinatorics and analysis that can be explored using generating functions -- Least squares and Chebyshev systems.

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Subjects

Analyse mathématique Logic Mathematical analysis Mathematics -- Philosophy Mathématiques -- Philosophie Mathematisches Problem Problemlösen Reasoning

Writers

Roytvarf, Alexander A.

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