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Thinking in problems : how Mathematicians find creative solutions

Author: Alexander A Roytvarf
Publisher: New York : Birkhäuser, ©2013.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Database:WorldCat
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  Read more...
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Genre/Form: Electronic books
Problems, exercises, etc
Additional Physical Format: Print version:
Roytvarf, Alexander A.
Thinking in Problems : How Mathematicians Find Creative Solutions.
Dordrecht : Springer, ©2013
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Alexander A Roytvarf
ISBN: 9780817684068 0817684069
OCLC Number: 823729210
Description: 1 online resource (433 pages)
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.
Responsibility: Alexander A. Roytvarf.
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Abstract:

This in-depth guide to creative problem-solving techniques in mathematics shows how to use a range of valuable methods, including calculus and combinatorics, to tackle thorny academic obstacles in  Read more...

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From the reviews: "The problems are enhanced by introductory summaries, overviews of notations and definitions, historical comments, and bibliographic references. The text's sequential approach will Read more...

 
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