| 書(shū)目名稱(chēng) | Mathematical Analysis | | 副標(biāo)題 | Foundations and Adva | | 編輯 | Mariano Giaquinta,Giuseppe Modica | | 視頻video | http://file.papertrans.cn/626/625960/625960.mp4 | | 概述 | Provides theoretical foundation for analysis of functions of several variables.Motivates the topics with examples, observations, exercises, and illustrations.Includes appendix of mathematicians who ma | | 圖書(shū)封面 |  | | 描述 | .Mathematical Analysis: Foundations and Advanced Techniques for Functions of Several Variables. builds upon the basic ideas and techniques of differential and integral calculus for functions of several variables, as outlined in an earlier introductory volume. The presentation is largely focused on the foundations of measure and integration theory..The book begins with a discussion of the geometry of Hilbert spaces, convex functions and domains, and differential forms, particularly k-forms. The exposition continues with an introduction to the calculus of variations with applications to geometric optics and mechanics.?The authors?conclude with the study of measure and integration theory – Borel, Radon, and Hausdorff measures and the derivation of measures. An appendix highlights important mathematicians and other scientists whose contributions have made a great impact on the development of theories in analysis..This work may be used as a supplementary text in the classroom or for self-study by advanced undergraduate and graduate students and as a valuable reference for researchers in mathematics, physics, and engineering. One of the key strengths of this presentation, along with the | | 出版日期 | Textbook 2012 | | 版次 | 1 | | doi | https://doi.org/10.1007/978-0-8176-8310-8 | | isbn_ebook | 978-0-8176-8310-8 | | copyright | Springer Science+Business Media, LLC 2012 |
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