| 書目名稱 | Real Analysis and Applications | | 副標題 | Theory in Practice | | 編輯 | Kenneth R. Davidson,Allan P. Donsig | | 視頻video | http://file.papertrans.cn/823/822129/822129.mp4 | | 概述 | Includes applications that cover:.Approximation by polynomials.Discrete dynamical systems.Differential equations.Fourier series and physics.Fourier series and approximation.Convexity and optimization. | | 叢書名稱 | Undergraduate Texts in Mathematics | | 圖書封面 |  | | 描述 | .This new approach to real analysis stresses the use of the subject in applications, showing how the principles and theory of real analysis can be applied in various settings. Applications cover approximation by polynomials, discrete dynamical systems, differential equations, Fourier series and physics, Fourier series and approximation, wavelets, and convexity and optimization. Each chapter has many useful exercises...?..The treatment of the basic theory covers the real numbers, functions, and calculus, while emphasizing the role of normed vector spaces, and particularly of R.n.. The applied chapters are mostly independent, giving the reader a choice of topics. This book is appropriate for students with a prior knowledge of both calculus and linear algebra who want a careful development of both analysis and its use in applications...?...Review of the previous version of this book, Real Analysis with Real Applications: ..?.."A well balanced book! The first solid analysis course, with proofs, is central in the offerings of any math.-dept.; ---and yet, the new books that hit the market don‘t always hit the mark: the balance between theory and applications, ---between technical proofs | | 出版日期 | Textbook 2010 | | 關(guān)鍵詞 | Analysis; Applications; Real analysis; calculus; linear algebra; linear optimization; nonlinear optimizati | | 版次 | 1 | | doi | https://doi.org/10.1007/978-0-387-98098-0 | | isbn_softcover | 978-1-4614-9900-8 | | isbn_ebook | 978-0-387-98098-0Series ISSN 0172-6056 Series E-ISSN 2197-5604 | | issn_series | 0172-6056 | | copyright | Springer-Verlag New York 2010 |
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