Authors:
Builds bridges between classical results and contemporary nonstandard problems
Embraces important topics in calculus, linear and abstract algebra, and analysis from a problem-solving perspective
Makes connections between various concepts from different areas of mathematics
Students from high school juniors to college seniors interested in math and mathematics competitions must have this book
Includes supplementary material: sn.pub/extras
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Table of contents (16 chapters)
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Front Matter
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Back Matter
About this book
Building bridges between classical results and contemporary nonstandard problems, Mathematical Bridges embraces important topics in analysis and algebra from a problem-solving perspective. Blending old and new techniques, tactics and strategies used in solving challenging mathematical problems, readers will discover numerous genuine mathematical gems throughout that will heighten their appreciation of the inherent beauty of mathematics.
Most of the problems are original to the authors and are intertwined in a well-motivated exposition driven by representative examples. The book is structured to assist the reader in formulating and proving conjectures, as well as devising solutions to important mathematical problems by making connections between various concepts and ideas from different areas of mathematics.
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Authors and Affiliations
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University of Texas at Dallas Natural Sciences and Mathematics, Richardson, USA
Titu Andreescu
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Valahia University of Targoviste, Targoviste, Romania
Cristinel Mortici
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Gheorghe Rosca Codreanu National College, Barlad, Romania
Marian Tetiva
About the authors
Cristinel Mortici is a Romanian mathematics professor who efficiently uses a problem base approach in his teaching.
Marian Tetiva is a Romanian high school teacher who strongly believes in the importance of meaningful problem solving in teaching and learning mathematics.
Bibliographic Information
Book Title: Mathematical Bridges
Authors: Titu Andreescu, Cristinel Mortici, Marian Tetiva
DOI: https://doi.org/10.1007/978-0-8176-4629-5
Publisher: Birkhäuser New York, NY
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer Science+Business Media LLC 2017
License: CC BY
Hardcover ISBN: 978-0-8176-4394-2Published: 24 February 2017
Softcover ISBN: 978-1-4939-7918-9Published: 12 July 2018
eBook ISBN: 978-0-8176-4629-5Published: 17 February 2017
Edition Number: 1
Number of Pages: VIII, 309
Number of Illustrations: 3 b/w illustrations
Topics: Algebra