Mathematical Analysis I (Universitext)
| Author | : | |
| Rating | : | 4.78 (741 Votes) |
| Asin | : | 3540403868 |
| Format Type | : | paperback |
| Number of Pages | : | 574 Pages |
| Publish Date | : | 2014-12-01 |
| Language | : | Russian |
DESCRIPTION:
Analysis made palatable, even for physicists. A. Castro 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. amazing and outsanding 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 (amazing and outsanding wy-reader 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 an. semesters of 6 quarters) to cover both volumes completely. Everything needed in undergraduate analysis is here: convergence (pointwise an. "Outstanding" according to Fabio Tonti. 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 necessar
I can only recommend the volumes to everyone interested in an introductory analysis course and to every university teacher giving courses on mathematical analysis. 45, Issue 6"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. The book is written excellently, with rigorous proofs, and geometrical explanations. The first volume presents 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. The basic material of the Part 2 consists on the one hand of multiple integrals and line and surface integrals, leadi
This softcover 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 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.