2016, ISBN: 9783662489918
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ISBN: 9783662489918
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2016, ISBN: 9783662489918
Translator: Cooke, Roger, Translator: Paniagua, Octavio, Springer, Hardcover, Auflage: 2nd ed. 2016, 740 Seiten, Publiziert: 2016-02-23T00:00:01Z, Produktgruppe: Book, Hersteller-Nr.: 42 … More...
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*Mathematical Analysis II* - 2nd ed. 2016 / gebundene Ausgabe für 90.99 € / Aus dem Bereich: Bücher, Wissenschaft, Mathematik Medien > Bücher nein Buch (gebunden) Hardcover;Naturwissensch… More...
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2016, ISBN: 9783662489918
Gebunden, 740 Seiten, 241mm x 160mm x 45mm, Sprache(n): eng Thoroughness of coverage, from elementary to very advancedClarity of expositionOriginality and variety of exercises and example… More...
2022, ISBN: 9783662489918
[ED: Buch], [PU: Springer Berlin Heidelberg], Neuware - This secondEnglish edition of a very popular two-volume work presents a thorough firstcourse in analysis, leading from real numbers… More...
ISBN: 9783662489918
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 mani… More...
2016, ISBN: 9783662489918
Translator: Cooke, Roger, Translator: Paniagua, Octavio, Springer, Hardcover, Auflage: 2nd ed. 2016, 740 Seiten, Publiziert: 2016-02-23T00:00:01Z, Produktgruppe: Book, Hersteller-Nr.: 42 … More...
2016, ISBN: 9783662489918
*Mathematical Analysis II* - 2nd ed. 2016 / gebundene Ausgabe für 90.99 € / Aus dem Bereich: Bücher, Wissenschaft, Mathematik Medien > Bücher nein Buch (gebunden) Hardcover;Naturwissensch… More...
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Details of the book - Mathematical Analysis II: 1 (Universitext)
EAN (ISBN-13): 9783662489918
ISBN (ISBN-10): 3662489910
Hardcover
Paperback
Publishing year: 2016
Publisher: Springer
Book in our database since 2015-11-25T12:50:25+00:00 (London)
Detail page last modified on 2024-03-12T10:55:53+00:00 (London)
ISBN/EAN: 9783662489918
ISBN - alternate spelling:
3-662-48991-0, 978-3-662-48991-8
Alternate spelling and related search-keywords:
Book author: vladimir zorich, zor, classical fourier analysis, complex numbers geometry
Book title: mathematical analysis, mathematica
Information from Publisher
Author: V. A. Zorich
Title: Universitext; Mathematical Analysis II
Publisher: Springer; Springer Berlin
720 Pages
Publishing year: 2016-02-22
Berlin; Heidelberg; DE
Printed / Made in
Translator: Roger Cooke; Octavio Paniagua
Language: English
90,94 € (DE)
93,49 € (AT)
100,50 CHF (CH)
POD
XX, 720 p. 42 illus. in color.
BB; Hardcover, Softcover / Mathematik/Analysis; Mathematische Analysis, allgemein; Verstehen; calculus; differential equations; functions; integral calculus; limits; real numbers; Analysis; Theoretical, Mathematical and Computational Physics; Mathematische Physik; BC; EA; BC
13 Line and Surface Integrals.- 14 Elements of Vector Analysis and Field Theory.- 15 Integration of Differential Forms on Manifolds.- 16 Uniform Convergence and Basic Operations of Analysis.- 17 Integrals Depending on a Parameter.- 18 Fourier Series and the Fourier Transform.- 19 Asymptotic Expansions.- Topics and Questions for Midterm Examinations.- Examination Topics.- Examination Problems (Series and Integrals Depending on a Parameter).- Intermediate Problems (Integral Calculus of Several Variables).- Appendices: A Series as a Tool (Introductory Lecture).- B Change of Variables in Multiple Integrals.- C Multidimensional Geometry and Functions of a Very Large Number of Variables.- D Operators of Field Theory in Curvilinear Coordinates.- E Modern Formula of Newton–Leibniz.- References.- Index of Basic Notation.- Subject Index.- Name Index.
n.-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.
From a review by V.I.Arnold
“The textbook of Zorich seems to me the most successful of the available comprehensive textbooks of analysis for mathematicians and physicists. It differs from the traditional exposition in two major ways: on the one hand in its closer relation to natural-science applications (primarily to physics and mechanics) and on the other hand in a greater-than-usual use of the ideas and methods of modern mathematics, that is, algebra, geometry, and topology. The course is unusually rich in ideas and shows clearly the power of the ideas and methods of modern mathematics in the study of particular problems. Especially unusual is the second volume, which includes vector analysis, the theory of differential forms on manifolds, an introduction to the theory of generalized functions and potential theory, Fourier series and the Fourier transform, and the elements of the theory of asymptotic expansions. At present such a way of structuring the course must be considered innovative. It was normal in the time of Goursat, but the tendency toward specialized courses, noticeable over the past half century, has emasculated the course of analysis, almost reducing it to mere logical justifications. The need to return to more substantive courses of analysis now seems obvious, especially in connection with the applied character of the future activity of the majority of students. ...In my opinion, this course is the best of the existing modern courses of analysis.”Thoroughness of coverage, from elementary to very advanced Clarity of exposition Originality and variety of exercises and examples Complete logical rigor of discussion Various new appendices Useful not only to mathematicians, but also to physicists and engineers Includes supplementary material: sn.pub/extras
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