| 書目名稱 | Problems and Solutions for Undergraduate Analysis | | 編輯 | Rami Shakarchi | | 視頻video | http://file.papertrans.cn/758/757245/757245.mp4 | | 圖書封面 |  | | 描述 | The present volume contains all the exercises and their solutions for Lang‘s second edition of Undergraduate Analysis. The wide variety of exercises, which range from computational to more conceptual and which are of vary- ing difficulty, cover the following subjects and more: real numbers, limits, continuous functions, differentiation and elementary integration, normed vector spaces, compactness, series, integration in one variable, improper integrals, convolutions, Fourier series and the Fourier integral, functions in n-space, derivatives in vector spaces, the inverse and implicit mapping theorem, ordinary differential equations, multiple integrals, and differential forms. My objective is to offer those learning and teaching analysis at the undergraduate level a large number of completed exercises and I hope that this book, which contains over 600 exercises covering the topics mentioned above, will achieve my goal. The exercises are an integral part of Lang‘s book and I encourage the reader to work through all of them. In some cases, the problems in the beginning chapters are used in later ones, for example, in Chapter IV when one constructs-bump functions, which are used to smoo | | 出版日期 | Textbook 1998 | | 關(guān)鍵詞 | Derivative; Fourier series; calculus; compactness; convolution; differential equation | | 版次 | 1 | | doi | https://doi.org/10.1007/978-1-4612-1738-1 | | isbn_softcover | 978-0-387-98235-9 | | isbn_ebook | 978-1-4612-1738-1 | | copyright | Springer-Verlag New York, Inc. 1998 |
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