Herbert Amann: Analysis I | Taschenbuch

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Cover: 9783764371531 | Analysis I | Herbert Amann (u. a.) | Taschenbuch | Paperback | xv

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Sprache: Englisch

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Beschreibung

Logical thinking, the analysis of complex relationships, the recognition of und- lying simple structures which are common to a multitude of problems ¿ these are the skills which are needed to do mathematics, and their development is the main goal of mathematics education. Of course, these skills cannot be learned ¿in a vacuum¿. Only a continuous struggle with concrete problems and a striving for deep understanding leads to success. A good measure of abstraction is needed to allow one to concentrate on the essential, without being distracted by appearances and irrelevancies. The present book strives for clarity and transparency. Right from the beg- ning, it requires from the reader a willingness to deal with abstract concepts, as well as a considerable measure of self-initiative. For these e?orts, the reader will be richly rewarded in his or her mathematical thinking abilities, and will possess the foundation needed for a deeper penetration into mathematics and its applications. Thisbookisthe?rstvolumeofathreevolumeintroductiontoanalysis.It- veloped from courses that the authors have taught over the last twenty six years at theUniversitiesofBochum,Kiel,Zurich,BaselandKassel.Sincewehopethatthis book will be used also for self-study and supplementary reading, we have included far more material than can be covered in a three semester sequence. This allows us to provide a wide overview of the subject and to present the many beautiful and important applications of the theory. We also demonstrate that mathematics possesses, not only elegance and inner beauty, but also provides e?cient methods for the solution of concrete problems.

Zusammenfassung

This book is the first of a three volume introduction to analysis. It is distinguished by its modern and clear presentation, concentrating always on the essential concepts. In contrast to most other textbooks, there is no artificial separation between the theories of one variable and that of many variables. Emphasis is placed on the early development of a solid foundation in topology. As well, the basics of complex analysis are covered.

This book is directed primarily to the students and instructors of beginning courses in analysis. But, with the many examples, exercises and the supplementary material, it is also suitable for self-study, as preparation for advanced study, and as a basis for other research in mathematics and physics.

Erscheinungsjahr:	2004
Fachbereich:	Analysis
Genre:	Mathematik
Rubrik:	Naturwissenschaften & Technik
Medium:	Taschenbuch
Seiten:	448
Inhalt:	xv 426 S.
ISBN-13:	9783764371531
ISBN-10:	3764371536
Sprache:	Englisch
Herstellernummer:	11303084
Ausstattung / Beilage:	Paperback
Einband:	Kartoniert / Broschiert
Autor:	Amann, Herbert Escher, Joachim
Übersetzung:	Brookfield, Gary
Auflage:	2005
Hersteller:	Birkhäuser Basel Springer Basel AG
Maße:	244 x 170 x 25 mm
Von/Mit:	Herbert Amann (u. a.)
Erscheinungsdatum:	22.11.2004
Gewicht:	0,768 kg

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