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Synopsis
This text is intended for an honors calculus course or for an introduction to analysis. Involving rigorous analysis, computational dexterity, and a breadth of applications, it is ideal for undergraduate majors. This third edition includes corrections as well as some additional material.
Some features of the text include: The text is completely self-contained and starts with the real number axioms; The integral is defined as the area under the graph, while the area is defined for every subset of the plane; There is a heavy emphasis on computational problems, from the high-school quadratic formula to the formula for the derivative of the zeta function at zero; There are applications from many parts of analysis, e.g., convexity, the Cantor set, continued fractions, the AGM, the theta and zeta functions, transcendental numbers, the Bessel and gamma functions, and many more; Traditionally transcendentally presented material, such as infinite products, the Bernoulli series, and the zeta functional equation, is developed over the reals; and There are 385 problems with all the solutions at the back of the text.
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Review
Reviews from previous editions:
"This is a very intriguing, decidedly unusual, and very satisfying treatment of calculus and introductory analysis. It's full of quirky little approaches to standard topics that make one wonder over and over again, 'Why is it never done like this?'"
―John Allen Paulos, author of Innumeracy and A Mathematician Reads the Newspaper
"About this title" may belong to another edition of this title.
- PublisherSpringer
- Publication date2013
- ISBN 10 1461428424
- ISBN 13 9781461428428
- BindingPaperback
- LanguageEnglish
- Edition number3
- Number of pages376
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Introduction to Calculus and Classical Analysis (Undergraduate Texts in Mathematics)
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Introduction to Calculus and Classical Analysis (Undergraduate Texts in Mathematics)
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Introduction to Calculus and Classical Analysis
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Springer New York Apr 2013, 2013
ISBN 10: 1461428424
ISBN 13: 9781461428428
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Taschenbuch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -This text is intended for an honors calculus course or for an introduction to analysis. Involving rigorous analysis, computational dexterity, and a breadth of applications, it is ideal for undergraduate majors. This third edition includes corrections as well as some additional material.Some features of the text include: The text is completely self-contained and starts with the real number axioms; The integral is defined as the area under the graph, while the area is defined for every subset of the plane; There is a heavy emphasis on computational problems, from the high-school quadratic formula to the formula for the derivative of the zeta function at zero; There are applications from many parts of analysis, e.g., convexity, the Cantor set, continued fractions, the AGM, the theta and zeta functions, transcendental numbers, the Bessel and gamma functions, and many more; Traditionally transcendentally presented material, such as infinite products, the Bernoulli series, and the zeta functional equation, is developed over the reals; and There are 385 problems with all the solutions at the back of the text. 376 pp. Englisch. Seller Inventory # 9781461428428
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Introduction to Calculus and Classical Analysis
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ISBN 13: 9781461428428
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Introduction to Calculus and Classical Analysis
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Springer New York, Springer US, 2013
ISBN 10: 1461428424
ISBN 13: 9781461428428
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Seller: AHA-BUCH GmbH, Einbeck, Germany
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Taschenbuch. Condition: Neu. Druck auf Anfrage Neuware - Printed after ordering - This text is intended for an honors calculus course or for an introduction to analysis. Involving rigorous analysis, computational dexterity, and a breadth of applications, it is ideal for undergraduate majors. This third edition includes corrections as well as some additional material.Some features of the text:The text is completely self-contained and starts with the real number axioms;The integral is defined as the area under the graph, while the area is defined for every subset of the plane;There is a heavy emphasison computational problems, from the high-school quadratic formula to the formula for the derivative of the zeta function at zero;There are applications from many parts of analysis, e.g., convexity, the Cantor set, continued fractions, the AGM, the theta and zeta functions, transcendental numbers, the Bessel and gamma functions, and many more;Traditionally transcendentally presented material, such as infinite products, the Bernoulli series, and the zeta functional equation, is developed over the reals;There are 385 problems with all the solutions at the back of the text. Seller Inventory # 9781461428428
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Introduction to Calculus and Classical Analysis
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Condition: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Approaches calculus and introductory analysis in a nonstandard wayNew edition extensively revised and updatedCompletely self-contained text Approaches calculus and introductory analysis in a nonstandard wayNew edition. Seller Inventory # 4197818
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Introduction to Calculus and Classical Analysis (Undergraduate Texts in Mathematics)
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