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© 2017

Mathematical Bridges

Textbook

Table of contents

  1. Front Matter
    Pages i-viii
  2. Titu Andreescu, Cristinel Mortici, Marian Tetiva
    Pages 1-23
  3. Titu Andreescu, Cristinel Mortici, Marian Tetiva
    Pages 25-42
  4. Titu Andreescu, Cristinel Mortici, Marian Tetiva
    Pages 43-55
  5. Titu Andreescu, Cristinel Mortici, Marian Tetiva
    Pages 57-74
  6. Titu Andreescu, Cristinel Mortici, Marian Tetiva
    Pages 75-92
  7. Titu Andreescu, Cristinel Mortici, Marian Tetiva
    Pages 93-107
  8. Titu Andreescu, Cristinel Mortici, Marian Tetiva
    Pages 109-129
  9. Titu Andreescu, Cristinel Mortici, Marian Tetiva
    Pages 131-148
  10. Titu Andreescu, Cristinel Mortici, Marian Tetiva
    Pages 149-173
  11. Titu Andreescu, Cristinel Mortici, Marian Tetiva
    Pages 175-188
  12. Titu Andreescu, Cristinel Mortici, Marian Tetiva
    Pages 189-200
  13. Titu Andreescu, Cristinel Mortici, Marian Tetiva
    Pages 201-211
  14. Titu Andreescu, Cristinel Mortici, Marian Tetiva
    Pages 213-226
  15. Titu Andreescu, Cristinel Mortici, Marian Tetiva
    Pages 227-251
  16. Titu Andreescu, Cristinel Mortici, Marian Tetiva
    Pages 253-287
  17. Titu Andreescu, Cristinel Mortici, Marian Tetiva
    Pages 289-307
  18. Back Matter
    Pages 309-309

About this book

Introduction

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 from high 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.

Keywords

Real Analysis Linear Algebra Mathematical Olympiad Abstract Algebra Mathematical Problem Solving

Authors and affiliations

  1. 1.University of Texas at Dallas Natural Sciences and MathematicsRichardsonUSA
  2. 2.Valahia University of TargovisteTargovisteRomania
  3. 3.Gheorghe Rosca Codreanu National CollegeBarladRomania

About the authors

Titu Andreescu is an internationally acclaimed problem solving expert who has published more than 30 books in this area. 

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
  • Copyright Information Springer Science+Business Media LLC 2017
  • Publisher Name Birkhäuser, New York, NY
  • eBook Packages Mathematics and Statistics Mathematics and Statistics (R0)
  • Hardcover ISBN 978-0-8176-4394-2
  • Softcover ISBN 978-1-4939-7918-9
  • eBook ISBN 978-0-8176-4629-5
  • Edition Number 1
  • Number of Pages VIII, 309
  • Number of Illustrations 3 b/w illustrations, 0 illustrations in colour
  • Topics Algebra
  • Buy this book on publisher's site

Reviews

“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)