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Fb2 Mathematical Analysis I (Universitext) ePub

by Vladimir A. Zorich,Roger Cooke

Category: Mathematics
Subcategory: Science books
Author: Vladimir A. Zorich,Roger Cooke
ISBN: 3540403868
ISBN13: 978-3540403869
Language: English
Publisher: Springer; 2004 edition (January 22, 2004)
Pages: 574
Fb2 eBook: 1829 kb
ePub eBook: 1135 kb
Digital formats: lrf mobi doc lit

Translator: Roger Cooke Burlington, Vermont USA e-mail: cooke.

Mathematical Analysis I. [email protected] Springer. Translator: Roger Cooke Burlington, Vermont USA e-mail: cooke.

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 . Mathematical Analysis II Mathematical Analysis (Том 2), Vladimir Antonovich Zorich Universitext (Berlin.

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. This textbook consists of two parts. Print) Universitext - Springer-Verlag Universitext Series. Vladimir A. Zorich, R. Cooke.

This first part of the book is being published after the more advanced Part 2 of the course, which was issued earlier by the same publishing house. Springer. Zorich Moscow State University Department of Mathematics (Mech-Math) Vorobievy Gory 119992 Moscow Russia. This first part of the book is being published after the more advanced Part 2 of the course, which was issued earlier by the same publishing house.

Download books for free. This two-volume work by . Zorich on Mathematical Analysis constitutes a thorough first course in real analysis, leading from the most elementary facts about real numbers to such advanced topics as differential forms on manifolds, asymptotic methods, Fourier, Laplace, and Legendre transforms, and elliptic functions. With masterful exposition, the author provides a smooth, gradual transition from each topic to the next, so that the slope never feels too steep for the reader.

Mathematical Analysis I. Authors: Zorich, Vladimir .

Thorough coverage, from elementary to very advanced. The book under consideration is aimed primarily at university students and teachers specializing in mathematics and natural sciences, and at all those who wish to see both the mathematical theory with carefully formulated theorems and rigorous proofs on the one hand, and examples of its effective use in the solution of practical problems on the other hand.

VLADIMIR A. ZORICH is professor of mathematics at Moscow State University. His areas of specialization are analysis, conformal geometry, quasiconformal mappings, and mathematical aspects of thermodynamics. He solved the problem of global homeomorphism for space quasiconformal mappings. He holds a patent in the technology of mechanical engineering, and he is also known by his book Mathematical Analysis of Problems in the Natural Sciences.

Mathematical Analysis I (Universitext) book. There's a certain bit of irony when a Russian person reads a Russian book (written by a Moscow State professor) translated to English. Now, I would not claim to enjoy real analysis, but unfortunately some key concepts were required to delve into measure theory (which, in turn, is only a stepping stone). Zorich, Roger Cooke, Octavio Paniagua Taboada. 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.

Author(s): V. A. Zorich, Roger Cooke, Octavio Paniagua Taboada

Author(s): V.

This softcover edition of a very populartwo-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 is the clearly expressed orientation toward the natural sciences and its 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 real analysis books.

The first volume constitutes a complete course on one-variable calculus along with the multivariable differential calculus elucidated in an up-to-day, clear manner, with a pleasant geometric flavor.

Comments to eBook Mathematical Analysis I (Universitext)
Mr_KiLLaURa
This is a two-volume treatise on Mathematical Analysis at undergraduate level. These two volumes are the most complete that I have seen so far. There is plenty of material here; one could easily spend two academic years (4 semesters of 6 quarters) to cover both volumes completely. Everything needed in undergraduate analysis is here: convergence (pointwise and uniform), differentiation, integration, integrals depending on parameters, interchanging limits, metric spaces, partial derivatives, multiple integrals, Stokes' Theorem, and much, much more. The author is a very good writer, and his proofs are slick, but readable. Exercises range from routine to quite challanging. Anyone studying real analysis (or mathematical analysis) should have these two volumes handy. Highly recommended.
Fearlesssinger
The book besides covering a broad material on classical analysis(with a modern touch), exposes the basic core of analysis expected from a mathematics or physics student without making use of pedantic and unnecessary formalism. The author emphasizes the connection of important ideas via concrete and substancial examples more than insisting in pathological and or trivial examples. It has plenty of examples coming from physics and other sciences(following the tradition of the russian school : of teaching mathematics emphasizing links with other areas). We can't forget to mention the many geometrical insights provided. Moreover the book is "filled" w/ good exercises that really colaborates for a solid mathematical education and has also a detailed appendix where an instructor can find some very interesting and challenging problems for a seminar discussion or final exams. Undoubtly an worthwhile reading!
MARK BEN FORD
Surely a great math book, but they realy need to change the plastic harcover, its looks like a fake copy!
Arcanefire
These two books written by V.A. Zorich represent a great course in analysis, both for people who just started dealing with the subject and for more experienced students. The treatment is thorough and spreads from an entire chapter about real numbers to very advanced problems. It also points out many applications in natural sciences.

A good and rather necessary addition would be the solutions to the problems given in these books. Thus students would have a way to check their work. Nevertheless it's worth more than five stars.
Delan
Since I am listed by Amazon (but not by Springer) as one of the authors, you should quite properly be skeptical of my 5-star review. But I really mean it: I think the book is outstanding.

Now the correction. I am IN NO SENSE a co-author of this book, merely its translator. The translation was very enjoyable work, and I enjoyed the interaction with the author that it made possible. That, however, does not make me a co-author. (But if you'd like to see some books that I HAVE authored, please search.)

Roger Cooke
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