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Mathematical Bridges
Buch von Titu Andreescu (u. a.)
Sprache: Englisch

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Beschreibung
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.
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.
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: Importe, Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Buch
Inhalt: viii
309 S.
3 s/w Illustr.
309 p. 3 illus.
ISBN-13: 9780817643942
ISBN-10: 081764394X
Sprache: Englisch
Herstellernummer: 11328681
Einband: Gebunden
Autor: Andreescu, Titu
Tetiva, Marian
Mortici, Cristinel
Auflage: 1st edition 2017
Hersteller: Springer US
Springer New York
Verantwortliche Person für die EU: Springer Basel AG in Springer Science + Business Media, Heidelberger Platz 3, D-14197 Berlin, juergen.hartmann@springer.com
Maße: 241 x 160 x 23 mm
Von/Mit: Titu Andreescu (u. a.)
Erscheinungsdatum: 24.02.2017
Gewicht: 0,647 kg
Artikel-ID: 108504652
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: Importe, Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Buch
Inhalt: viii
309 S.
3 s/w Illustr.
309 p. 3 illus.
ISBN-13: 9780817643942
ISBN-10: 081764394X
Sprache: Englisch
Herstellernummer: 11328681
Einband: Gebunden
Autor: Andreescu, Titu
Tetiva, Marian
Mortici, Cristinel
Auflage: 1st edition 2017
Hersteller: Springer US
Springer New York
Verantwortliche Person für die EU: Springer Basel AG in Springer Science + Business Media, Heidelberger Platz 3, D-14197 Berlin, juergen.hartmann@springer.com
Maße: 241 x 160 x 23 mm
Von/Mit: Titu Andreescu (u. a.)
Erscheinungsdatum: 24.02.2017
Gewicht: 0,647 kg
Artikel-ID: 108504652
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