Mathematical Analysis II
Language: English
Published by Springer-Verlag Berlin and Heidelberg GmbH and Co. KG, DE, 2019
Series: Book 189 of 261 - Universitext
- Softcover
- New
Seller: Rarewaves.com USA, London, London, United KingdomRarewaves.com USA
AbeBooks seller since June 11, 2025
Condition: New
£ 75.49
Quantity: Over 20 available
Add to basketItem description from seller
This secondEnglish edition of a very popular two-volume work presents a thorough firstcourse in analysis, leading from real numbers to such advanced topics asdifferential forms on manifolds; asymptotic methods; Fourier, Laplace, andLegendre transforms; elliptic functions; and distributions. Especially notablein this course are the clearly expressed orientation toward the naturalsciences and the informal exploration of the essence and the roots of the basicconcepts and theorems of calculus. Clarity of exposition is matched by a wealthof instructive exercises, problems, and fresh applications to areas seldomtouched on in textbooks on real analysis.The maindifference between the second and first English editions is the addition of aseries of appendices to each volume. There are six of them in the first volumeand five in the second. The subjects of these appendices are diverse. They aremeant to be useful to both students (in mathematics and physics) and teachers,who may be motivated by different goals. Some of the appendices are surveys,both prospective and retrospective. The final survey establishes importantconceptual connections between analysis and other parts of mathematics.This second volumepresents classical analysis in its current form as part of a unifiedmathematics. It shows how analysis interacts with other modern fields ofmathematics such as algebra, differential geometry, differential equations,complex analysis, and functional analysis. This book provides a firm foundationfor advanced work in any of these directions. Softcover reprint of the original 2nd ed. 2016.…
Seller Inventory # LU-9783662569665
- Title
- Mathematical Analysis II
- Author
- V. A. Zorich
- Publisher
- Springer-Verlag Berlin and Heidelberg GmbH and Co. KG, DE
- Publication year
- 2019
- Condition
- New
- Binding
- Paperback
- Language
- English
- ISBN 10
- 3662569663
- ISBN 13
- 9783662569665
- Series
- Book 189 of 261: Universitext
This second English edition of a very popular two-volume work presents a thorough first course in analysis, leading from real numbers to such advanced topics as differential forms on manifolds; asymptotic methods; Fourier, Laplace, and Legendre transforms; elliptic functions; and distributions. Especially notable in this course are the clearly expressed orientation toward the natural sciences and the informal exploration of the essence and the roots of the basic concepts and theorems of calculus. Clarity of exposition is matched by a wealth of instructive exercises, problems, and fresh applications to areas seldom touched on in textbooks on real analysis.
The main difference between the second and first English editions is the addition of a series of appendices to each volume. There are six of them in the first volume and five in the second. The subjects of these appendices are diverse. They are meant to be useful to both students (in mathematics and physics) and teachers, who may be motivated by different goals. Some of the appendices are surveys, both prospective and retrospective. The final survey establishes important conceptual connections between analysis and other parts of mathematics.This second volume presents classical analysis in its current form as part of a unified mathematics. It shows how analysis interacts with other modern fields of mathematics such as algebra, differential geometry, differential equations, complex analysis, and functional analysis. This book provides a firm foundation for advanced work in any of these directions.
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