Introduction to Calculus and Classical Analysis
Language: English
Published by Springer, 2016
- Hardcover
- New
Seller: AHA-BUCH GmbH, Einbeck, GermanyAHA-BUCH GmbH
AbeBooks seller since August 14, 2006
Condition: New
£ 49.15
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Add to basketItem description from seller
Druck auf Anfrage Neuware - Printed after ordering - Involving rigorous analysis, computational dexterity, and a breadth of applications, this text is ideal for an undergraduate honors calculus course or for an introduction to analysis. This fourth 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 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;-self-contained treatment of the fundamental theorems of calculus in the general case using the Sunrise Lemma-There are 450 problems with all the solutions at the back of the text.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'Chapter 5 is. an astonishing tour de force'-Steven G. Krantz, The American Mathematical Monthly'For a treatment [of infinite products and the Bernoulli series] that is very close to Euler's and even more elementary.' - V.S. Varadarajan, Bulletin of the American Mathematical Society. …
Seller Inventory # 9783319283999
- Title
- Introduction to Calculus and Classical Analysis
- Author
- Omar Hijab
- Publisher
- Springer
- Publication year
- 2016
- Condition
- Neu
- Binding
- Buch
- Language
- English
- ISBN 10
- 3319283995
- ISBN 13
- 9783319283999
- Edition
- 4th Edition
- Item weight
- 777 grams
- Dimensions
- 241x160x30 mm
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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