Titu Andreescu: Mathematical Bridges | Buch

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Cover: 9780817643942 | Mathematical Bridges | Titu Andreescu (u. a.) | Buch | Englisch | 2017

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Sprache: Englisch

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Beschreibung

Building bridges between classical results and contemporary nonstandard problems, this highly relevant work embraces important topics in analysis and algebra from a problem-solving perspective. 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 motivated mathematics students from high school juniors to college seniors will find the work a useful resource in calculus, linear and abstract algebra, analysis and differential equations. Students with an interest in mathematics competitions must have this book in their personal libraries.

Über den Autor

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.

Zusammenfassung

Building bridges between classical results and contemporary nonstandard problems, Mathematical Bridges embraces important topics in analysis and algebra from a problem-solving perspective. 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 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 with an interest in mathematics competitions must have this book in their personal libraries.

Inhaltsverzeichnis

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.

Details

Erscheinungsjahr:	2017
Fachbereich:	Analysis
Genre:	Mathematik
Rubrik:	Naturwissenschaften & Technik
Medium:	Buch
Seiten:	320
Inhalt:	viii 309 S. 3 s/w Illustr. 309 p. 3 illus.
ISBN-13:	9780817643942
ISBN-10:	081764394X
Sprache:	Englisch
Herstellernummer:	11328681
Ausstattung / Beilage:	HC runder Rücken kaschiert
Einband:	Gebunden
Autor:	Andreescu, Titu Tetiva, Marian Mortici, Cristinel
Auflage:	1st ed. 2017
Hersteller:	Springer US Springer New York
Maße:	241 x 160 x 23 mm
Von/Mit:	Titu Andreescu (u. a.)
Erscheinungsdatum:	24.02.2017
Gewicht:	0,647 kg

preigu-id: 108504652