书目名称 | Lebesgue Integration | 编辑 | Soo Bong Chae | 视频video | | 丛书名称 | Universitext | 图书封面 |  | 描述 | Responses from colleagues and students concerning the first edition indicate that the text still answers a pedagogical need which is not addressed by other texts. There are no major changes in this edition. Several proofs have been tightened, and the exposition has been modified in minor ways for improved clarity. As before, the strength of the text lies in presenting the student with the difficulties which led to the development of the theory and, whenever possi ble, giving the student the tools to overcome those difficulties for himself or herself. Another proverb: Give me a fish, I eat for a day. Teach me to fish, I eat for a lifetime. Soo Bong Chae March 1994 Preface to the First Edition This book was developed from lectures in a course at New College and should be accessible to advanced undergraduate and beginning graduate students. The prerequisites are an understanding of introductory calculus and the ability to comprehend "e-I) arguments. " The study of abstract measure and integration theory has been in vogue for more than two decades in American universities since the publication of Measure Theory by P. R. Halmos (1950). There are, however, very few ele mentary texts fr | 出版日期 | Textbook 1995Latest edition | 关键词 | Derivative; Fourier series; Fundamental theorem of calculus; Hilbert space; Riemann integral; differentia | 版次 | 2 | doi | https://doi.org/10.1007/978-1-4612-0781-8 | isbn_softcover | 978-0-387-94357-2 | isbn_ebook | 978-1-4612-0781-8Series ISSN 0172-5939 Series E-ISSN 2191-6675 | issn_series | 0172-5939 | copyright | Springer Science+Business Media New York 1995 |
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