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Elementary Analysis
The Theory of Calculus
Taschenbuch von Kenneth A. Ross
Sprache: Englisch

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Beschreibung
For over three decades, this best-selling classic has been used by thousands of students in the United States and abroad as a must-have textbook for a transitional course from calculus to analysis. It has proven to be very useful for mathematics majors who have no previous experience with rigorous proofs. Its friendly style unlocks the mystery of writing proofs, while carefully examining the theoretical basis for calculus. Proofs are given in full, and the large number of well-chosen examples and exercises range from routine to challenging.
The second edition preserves the book¿s clear and concise style, illuminating discussions, and simple, well-motivated proofs. New topics include material on the irrationality of pi, the Baire category theorem, Newton's method and the secant method, and continuous nowhere-differentiable functions.
For over three decades, this best-selling classic has been used by thousands of students in the United States and abroad as a must-have textbook for a transitional course from calculus to analysis. It has proven to be very useful for mathematics majors who have no previous experience with rigorous proofs. Its friendly style unlocks the mystery of writing proofs, while carefully examining the theoretical basis for calculus. Proofs are given in full, and the large number of well-chosen examples and exercises range from routine to challenging.
The second edition preserves the book¿s clear and concise style, illuminating discussions, and simple, well-motivated proofs. New topics include material on the irrationality of pi, the Baire category theorem, Newton's method and the secant method, and continuous nowhere-differentiable functions.
Über den Autor

Kenneth A. Ross is currently an emeritus professor of mathematics at the University of Oregon.

Jorge M. López is currently professor of mathematics at the University of Puerto Rico.

Zusammenfassung

Revised and updated second edition with new material

Text for a transition course between calculus and more advanced analysis courses

Contains new material on topics such as irrationality of pi, the Baire category theorem, Newton's method and the secant method, and continuous nowhere-differentiable functions

Includes new examples and improved proofs

Includes supplementary material: [...]

Inhaltsverzeichnis
Preface.- 1 Introduction.- 2 Sequences.- 3 Continuity.- 4 Sequences and Series of Functions.- 5 Differentiation.- 6 Integration.- 7 Capstone.- Appendix on Set Notation.- Selected Hints and Answers.- References.- Index.
Details
Erscheinungsjahr: 2015
Fachbereich: Analysis
Genre: Importe, Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
Inhalt: xii
412 S.
ISBN-13: 9781493901289
ISBN-10: 1493901281
Sprache: Englisch
Einband: Kartoniert / Broschiert
Autor: Ross, Kenneth A.
Auflage: 2nd edition 2013
Hersteller: Springer US
Springer New York
Verantwortliche Person für die EU: Springer Verlag GmbH, Tiergartenstr. 17, D-69121 Heidelberg, juergen.hartmann@springer.com
Maße: 235 x 155 x 23 mm
Von/Mit: Kenneth A. Ross
Erscheinungsdatum: 08.02.2015
Gewicht: 0,639 kg
Artikel-ID: 104895156
Über den Autor

Kenneth A. Ross is currently an emeritus professor of mathematics at the University of Oregon.

Jorge M. López is currently professor of mathematics at the University of Puerto Rico.

Zusammenfassung

Revised and updated second edition with new material

Text for a transition course between calculus and more advanced analysis courses

Contains new material on topics such as irrationality of pi, the Baire category theorem, Newton's method and the secant method, and continuous nowhere-differentiable functions

Includes new examples and improved proofs

Includes supplementary material: [...]

Inhaltsverzeichnis
Preface.- 1 Introduction.- 2 Sequences.- 3 Continuity.- 4 Sequences and Series of Functions.- 5 Differentiation.- 6 Integration.- 7 Capstone.- Appendix on Set Notation.- Selected Hints and Answers.- References.- Index.
Details
Erscheinungsjahr: 2015
Fachbereich: Analysis
Genre: Importe, Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
Inhalt: xii
412 S.
ISBN-13: 9781493901289
ISBN-10: 1493901281
Sprache: Englisch
Einband: Kartoniert / Broschiert
Autor: Ross, Kenneth A.
Auflage: 2nd edition 2013
Hersteller: Springer US
Springer New York
Verantwortliche Person für die EU: Springer Verlag GmbH, Tiergartenstr. 17, D-69121 Heidelberg, juergen.hartmann@springer.com
Maße: 235 x 155 x 23 mm
Von/Mit: Kenneth A. Ross
Erscheinungsdatum: 08.02.2015
Gewicht: 0,639 kg
Artikel-ID: 104895156
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