Real Analysis and Applications: Including Fourier Series and the Calculus of Variations - Couverture souple

Morgan, Frank

Couverture souple

ISBN 10 : 1470465019 ISBN 13 : 9781470465018

Editeur : American Mathematical Society, 2005

Synopsis

Real Analysis and Applications starts with a streamlined, but complete approach to real analysis. It finishes with a wide variety of applications in Fourier series and the calculus of variations, including minimal surfaces, physics, economics, Riemannian geometry, and general relativity. The basic theory includes all the standard topics: limits of sequences, topology, compactness, the Cantor set and fractals, calculus with the Riemann integral, a chapter on the Lebesgue theory, sequences of functions, infinite series, and the exponential and Gamma functions. The applications conclude with a computation of the relativistic precession of Mercury's orbit, which Einstein called ""convincing proof of the correctness of the theory [of General Relativity].""

The text not only provides clear, logical proofs, but also shows the student how to come up with them. The excellent exercises come with select solutions in the back. Here is a text which makes it possible to do the full theory and significant applications in one semester. Frank Morgan is the author of six books and over one hundred articles on mathematics. He is an inaugural recipient of the Mathematical Association of America's national Haimo award for excellence in teaching. With this applied version of his Real Analysis text, Morgan brings his famous direct style to the growing numbers of potential mathematics majors who want to see applications right along with the theory.

A propos du livre

À propos de l?auteur

Frank Morgan, Williams College, Williamstown, MA.

Détails de l'édition

• Éditeur: American Mathematical Society
• Date d'édition: 2005
• ISBN 10: 1470465019
• ISBN 13: 9781470465018
• Reliure: Broché
• Langue: anglais
• Nombre de pages: 197
• Coordonnées du fabricant: non disponible