β Scribed by V. A. Zorich, Roger Cooke
No coin nor oath required. For personal study only.
This two-volume work by V.A. 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. Making use of Cartan's concept of a filter base, the author disperses the fog of epsilons and deltas that have always made the crucial subject of limits a barrier for the nonmathematical specialist. As a result, the major theorems of differentiation and integration reveal their essential unity in a nearly painless manner. The clarity of the exposition is matched by a wealth of instructive exercises and fresh applications to areas seldom touched on in real analysis books, many of which are taken from physics and technology.
π SIMILAR VOLUMES
This volume consists of a collection of articles from experts with a rich research and educational experience. The contributors of this volume are: Y Benyamini, M GonzΓ‘lez, V MΓΌller, S Reich, E Matouskova, A J Zaslavski and A R Palacios. Each of their work is invaluable. For example, Benyaminiβs is
This book is the first of a multivolume series devoted to an exposition of functional analysis methods in modern mathematical physics. It describes the fundamental principles of functional analysis and is essentially self-contained, although there are occasional references to later volumes. We have