Mathematical Analysis

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Author: Tom M. Apostol

Publisher: Addison Wesley

ISBN: 9780201002881

Category: Mathematics

Page: 492

View: 8628

It provides a transition from elementary calculus to advanced courses in real and complex function theory and introduces the reader to some of the abstract thinking that pervades modern analysis.

Fredholm Theory in Banach Spaces

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Author: Anthony Francis Ruston

Publisher: Cambridge University Press

ISBN: 9780521604932

Category: Mathematics

Page: 304

View: 2158

Presents analogues for operators on Banach spaces of Fredholm's solution of integral equations of the second kind.

Problems and Solutions in Real Analysis

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Author: Masayoshi Hata

Publisher: World Scientific

ISBN: 981277601X

Category: Mathematics

Page: 292

View: 7947

This unique book provides a collection of more than 200 mathematical problems and their detailed solutions, which contain very useful tips and skills in real analysis. Each chapter has an introduction, in which some fundamental definitions and propositions are prepared. This also contains many brief historical comments on some significant mathematical results in real analysis together with useful references.Problems and Solutions in Real Analysis may be used as advanced exercises by undergraduate students during or after courses in calculus and linear algebra. It is also useful for graduate students who are interested in analytic number theory. Readers will also be able to completely grasp a simple and elementary proof of the prime number theorem through several exercises. The book is also suitable for non-experts who wish to understand mathematical analysis.

Mathematical Analysis II

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Author: Vladimir A. Zorich,R. Cooke

Publisher: Springer Science & Business Media

ISBN: 9783540406334

Category: Mathematics

Page: 688

View: 3675

An entire generation of mathematicians has grown up during the time - tween the appearance of the ?rst edition of this textbook and the publication of the fourth edition, a translation of which is before you. The book is fam- iar to many people, who either attended the lectures on which it is based or studied out of it, and who now teach others in universities all over the world. I am glad that it has become accessible to English-speaking readers. This textbook consists of two parts. It is aimed primarily at university students and teachers specializing in mathematics and natural sciences, and at all those who wish to see both the rigorous mathematical theory and examplesofitse?ectiveuseinthesolutionofrealproblemsofnaturalscience. The textbook exposes classical analysis as it is today, as an integral part of Mathematics in its interrelations with other modern mathematical courses such as algebra, di?erential geometry, di?erential equations, complex and functional analysis.

Books in Series

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Author: N.A

Publisher: N.A

ISBN: 9780835221092

Category: Monographic series

Page: 1756

View: 6492