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Title
Mathematical bridges / Titu Andreescu, Cristinel Mortici, Marian Tetiva.
ISBN
9780817646295 (electronic book)
0817646299 (electronic book)
9780817643942
081764394X
Published
New York, NY : Birkhäuser, 2017.
Language
English
Description
1 online resource (viii, 309 pages) : illustrations.
Other Standard Identifiers
10.1007/978-0-8176-4629-5 doi
Call Number
QA39.3
Dewey Decimal Classification
510
Summary
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.
Bibliography, etc. Note
Includes bibliographical references.
Access Note
Access limited to authorized users.
Digital File Characteristics
text file PDF
Source of Description
Online resource; title from PDF title page (SpringerLink, viewed March 2, 2017).
Available in Other Form
Print version: 081764394X
Mathematical (and Other) Bridges
Cardinality
Polynomial Functions Involving Determinants
Some Applications of the Hamilton-Cayley Theorem
A Decomposition Theorem Related to the Rank of a Matrix
Equivalence Relations on Groups and Factor Groups
Density
The Nested Intervals Theorem
The Splitting Method and Double Sequences
The Number e
The Intermediate Value Theorem
The Extreme Value Theorem
Uniform Continuity
Derivatives and Functions' Variation
Riemann and Darboux Sums
Antiderivatives.
