Elementary Analysis : The Theory of Calculus

Kenneth A. Ross

ISBN 10: 1461462703 / ISBN 13: 9781461462705

Editore: Springer New York, Springer New York Apr 2013, 2013

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Neuware - 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.

Codice articolo 9781461462705

Dati bibliografici

• Titolo: Elementary Analysis : The Theory of Calculus
• Editore: Springer New York, Springer New York Apr 2013
• Data di pubblicazione: 2013
• Lingua: Inglese
• ISBN 10: 1461462703
• ISBN 13: 9781461462705
• Rilegatura: Buch
• Edizione: seconda edizione
• Condizione: Neu

Descrizione articolo

Riassunto

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.

Informazioni sull?autore

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.