Mathematical Analysis II

Nonfiction, Science & Nature, Mathematics, Mathematical Analysis, Science, Physics, Mathematical Physics
Cover of the book Mathematical Analysis II by V. A. Zorich, Springer Berlin Heidelberg
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: V. A. Zorich ISBN: 9783662489932
Publisher: Springer Berlin Heidelberg Publication: February 12, 2016
Imprint: Springer Language: English
Author: V. A. Zorich
ISBN: 9783662489932
Publisher: Springer Berlin Heidelberg
Publication: February 12, 2016
Imprint: Springer
Language: English

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.

View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

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.

More books from Springer Berlin Heidelberg

Cover of the book China Green Development Index Report 2011 by V. A. Zorich
Cover of the book Biomimetics by V. A. Zorich
Cover of the book Head and Neck Cancer Imaging by V. A. Zorich
Cover of the book Extracellular Matrix in Development by V. A. Zorich
Cover of the book Photographic Atlas of an Accretionary Prism by V. A. Zorich
Cover of the book Europäisches Arbeitsrecht by V. A. Zorich
Cover of the book Modernes Krankenhausmanagement by V. A. Zorich
Cover of the book Akrodynamik by V. A. Zorich
Cover of the book Clusters in Nuclei, Vol.2 by V. A. Zorich
Cover of the book Die perfekte Produktion by V. A. Zorich
Cover of the book Drugs and Alcohol by V. A. Zorich
Cover of the book Spontaneous and Induced Intima Formation in Blood Vessels by V. A. Zorich
Cover of the book To Build a Harmonious World by V. A. Zorich
Cover of the book Astrobiologie by V. A. Zorich
Cover of the book Multiscale Modelling of Organic and Hybrid Photovoltaics by V. A. Zorich
We use our own "cookies" and third party cookies to improve services and to see statistical information. By using this website, you agree to our Privacy Policy