Mathematical Bridges
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Beschreibung
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.
Instructors and educators teaching problem-solving courses or organizing mathematics clubs, as well as motivated mathematics students fromhigh school juniors to college seniors, will find Mathematical Bridges a useful resource in calculus, linear and abstract algebra, analysis and differential equations. Students desiring to hone and develop their mathematical skills or with an interest in mathematics competitions must have this book in their personal libraries.
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.
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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Titu Andreescu
Themen in »Mathematical Bridges«
Real Analysis Linear Algebra Mathematical Olympiad Abstract Algebra Mathematical Problem Solving
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“The book under review is an excellent collection of gems of undergraduate mathematics. … The book is very well written, and very pleasant to read.” (Mowaffaq Hajja, zbMATH 1421.00001, 2019)
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