Mathematical Bridges

Authors: Andreescu, Titu, Mortici, Cristinel, Tetiva, Marian

  • Builds bridges between classical results and contemporary nonstandard problems
  • Embraces important topics in calculus, linear and abstract algebra, analysis and differential equations from a problem-solving perspective
  • Draws connections between concepts from different areas of mathematics
  • Students from high school juniors to college seniors interested in math and mathematics competitions must have this fascinating book
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Buy this book

eBook $39.99
price for USA (gross)
  • ISBN 978-0-8176-4629-5
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $49.99
price for USA
  • ISBN 978-0-8176-4394-2
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
About this Textbook

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.

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. 

Table of contents (16 chapters)

  • Mathematical (and Other) Bridges

    Andreescu, Titu (et al.)

    Pages 1-23

  • Cardinality

    Andreescu, Titu (et al.)

    Pages 25-42

  • Polynomial Functions Involving Determinants

    Andreescu, Titu (et al.)

    Pages 43-55

  • Some Applications of the Hamilton-Cayley Theorem

    Andreescu, Titu (et al.)

    Pages 57-74

  • A Decomposition Theorem Related to the Rank of a Matrix

    Andreescu, Titu (et al.)

    Pages 75-92

Buy this book

eBook $39.99
price for USA (gross)
  • ISBN 978-0-8176-4629-5
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $49.99
price for USA
  • ISBN 978-0-8176-4394-2
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Mathematical Bridges
Authors
Copyright
2017
Publisher
Birkhäuser Basel
Copyright Holder
Springer Science+Business Media LLC
eBook ISBN
978-0-8176-4629-5
DOI
10.1007/978-0-8176-4629-5
Hardcover ISBN
978-0-8176-4394-2
Edition Number
1
Number of Pages
VIII, 309
Number of Illustrations and Tables
3 b/w illustrations
Topics