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Mathematical Bridges
ISBN/EAN: 9780817643942
Umbreit-Nr.: 1931358
Sprache:
Englisch
Umfang: viii, 309 S., 3 s/w Illustr., 309 p. 3 illus.
Format in cm:
Einband:
gebundenes Buch
Erschienen am 24.02.2017
Auflage: 1/2018
- Zusatztext
- InhaltsangabePreface.- Glossary of Notation.- Cardinality.- Density.- Lemma of the Closed Intervals.- Sequences Given by Implicit Relations.- Recurrence Relations.- Complementary Sequences.- Quadratic Functions, Quadratic Equations.- Polynomial Functions Involving Determinants.- A Decomposition Theorem Related to the Rank of a Matrix.- Intermediate Value Property.- Uniform Continuity.- Toeplitz Theorem.- Derivatives and Functions Variation.- Weierstrass Theorem.- The Number e.- Riemann Sums, Darboux Sums.- References.- Subject Index.
- Kurztext
- 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.
- Autorenportrait
- 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.