Introduction to Calculus and Classical Analysis

Omar Hijab

ISBN 10: 1461428424 / ISBN 13: 9781461428428

Editore: Springer, Copernicus Apr 2013, 2013

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This item is printed on demand - Print on Demand Titel. 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: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;There are 385 problems with all the solutions at the back of the text.Springer-Verlag KG, Sachsenplatz 4-6, 1201 Wien 376 pp. Englisch.

Codice articolo 9781461428428

Dati bibliografici

• Titolo: Introduction to Calculus and Classical Analysis
• Editore: Springer, Copernicus Apr 2013
• Data di pubblicazione: 2013
• Lingua: Inglese
• ISBN 10: 1461428424
• ISBN 13: 9781461428428
• Rilegatura: Taschenbuch
• Edizione: terza edizione
• Condizione: Neu
• Dimensioni: 235 L x 155 A x 21 P (millimetri) 235 millimetri di larghezza per 155 millimetri di altezza per 21 millimetri di profondità
• Peso: 569 grammi

Descrizione articolo

Riassunto

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 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;
  
• There are 385 problems with all the solutions at the back of the text.

Dalla quarta di copertina

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 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;

* There are 385 problems with all the solutions at the back of the text.

Review from the first edition:

"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