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Mathematical Analysis I (Second Edition )книга
- Автор: Zorich Vladimir A.
- Год издания: 2015
- Место издания: SPRINGER Heidelberg, New York, Dordrecht, London
- Объём: 616 страниц
- ISBN: 978-3-662-48790-7
- Учебник
- DOI: 10.1007/978-3-662-48792-1
- Аннотация: MATHEMATICAL ANALYSIS I 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 dif- ferential 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 explo- ration 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 main difference between the second and first English editions is the addi- tion of a series of appendices to each volume. There are six of them in the first and five of them in the second volume. Some of the appendices are surveys, both prospective and retrospective. The final survey contains the most important con- ceptual achievements of the whole course, which establish connections of analysis with other parts of mathematics as a whole. 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 and natural sciences flavor. "Complete logical rigor of discussion...is combined with simplicity and complete- ness as well as with the development of the habit to work with real problems from natural sciences. " From the review by A.N. Kolmogorov of the first Russian edition of this course.
- Добавил в систему: Зорич Владимир Антонович