Mathematical Analysis

Giuseppe Modica

ISBN 10: 1461265703 / ISBN 13: 9781461265702

Edité par Birkhäuser Boston, Birkhäuser Boston Nov 2012, 2012

A propos de cet article

Neuware -For more than two thousand years some familiarity with mathematics has been regarded as an indispensable part of the intellectual equipment of every cultured person. Today the traditional place of mathematics in education is in grave danger. Unfortunately, professional representatives of mathematics share in the reponsibiIity. The teaching of mathematics has sometimes degen erated into empty drill in problem solving, which may develop formal ability but does not lead to real understanding or to greater intellectual indepen dence. Mathematical research has shown a tendency toward overspecialization and over-emphasis on abstraction. Applications and connections with other fields have been neglected . . . But . . . understanding of mathematics cannot be transmitted by painless entertainment any more than education in music can be brought by the most brilliant journalism to those who never have lis tened intensively. Actual contact with the content of living mathematics is necessary. Nevertheless technicalities and detours should be avoided, and the presentation of mathematics should be just as free from emphasis on routine as from forbidding dogmatism which refuses to disclose motive or goal and which is an unfair obstacle to honest effort. (From the preface to the first edition of What is Mathematics by Richard Courant and Herbert Robbins, 1941.Springer Basel AG in Springer Science + Business Media, Heidelberger Platz 3, 14197 Berlin 372 pp. Englisch.

N° de réf. du vendeur 9781461265702

Détails bibliographiques

• Titre: Mathematical Analysis
• Éditeur: Birkhäuser Boston, Birkhäuser Boston Nov 2012
• Date de parution: 2012
• Langue: anglais
• ISBN à 10 chiffres: 1461265703
• ISBN à 13 chiffres: 9781461265702
• Reliure: Taschenbuch
• Édition: Edition originale
• État de l'article: Neu

A propos de ce titre

Synopsis

This self-contained work introduces the main ideas and fundamental methods of analysis at the advanced undergraduate/graduate level. It provides the historical context out of which these concepts emerged, and aims to develop connections between analysis and other mathematical disciplines (e.g., topology and geometry) as well as physics and engineering. A rigorous exposition, numerous examples, beautiful illustrations, good problems, comprehensive bibliography, and index are some of the key features of the book. Excellent for self -study or the classroom.

Présentation de l'éditeur

This superb and self-contained work is an introductory presentation of basic ideas, structures, and results of differential and integral calculus for functions of several variables. The wide range of topics covered include the differential calculus of several variables, including that of Banach spaces.