| 书目名称 | Mathematical Analysis and the Mathematics of Computation | | 编辑 | Werner Römisch,Thomas Zeugmann | | 视频video | | | 概述 | Many interdisciplinary applications, including support vector machines, kernel-based learning methods, pattern recognition, statistical learning theory, computer graphics, and approximation theory.Ric | | 图书封面 |  | | 描述 | .This book is a comprehensive, unifying introduction to the field of mathematical analysis and the mathematics of computing. It develops the relevant theory at a modern level and it directly relates modern mathematical ideas to their diverse applications...The authors develop the whole theory. Starting with a simple axiom system for the real numbers, they then lay the foundations, developing the theory, exemplifying where it‘s applicable, in turn motivating further development of the theory. They progress from sets, structures, and numbers to metric spaces, continuous functions in metric spaces, linear normed spaces and linear mappings; and then differential calculus and its applications, the integral calculus, the gamma function, and linear integral operators. They then present important aspects of approximation theory, including numerical integration. The remaining parts of the book are devoted to ordinary differential equations, the discretization of operator equations, and numerical solutions of ordinary differential equations...This textbook contains many exercises of varying degrees of difficulty, suitable for self-study, and at the end of each chapter the authors present mor | | 出版日期 | Textbook 2016 | | 关键词 | Approximation; Differential Calculus; Integral Calculus; Integral Equations; Interpolation; Mathematical | | 版次 | 1 | | doi | https://doi.org/10.1007/978-3-319-42755-3 | | isbn_softcover | 978-3-319-82655-4 | | isbn_ebook | 978-3-319-42755-3 | | copyright | Springer International Publishing Switzerland 2016 |
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发表于 2025-3-21 17:27:19
