A First Course in Sobolev Spaces is popular PDF and ePub book, written by Giovanni Leoni in 2009, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, A First Course in Sobolev Spaces can be Read Online from any device for your convenience.
A First Course in Sobolev Spaces Book PDF Summary
Sobolev spaces are a fundamental tool in the modern study of partial differential equations. In this book, Leoni takes a novel approach to the theory by looking at Sobolev spaces as the natural development of monotone, absolutely continuous, and BV functions of one variable. In this way, the majority of the text can be read without the prerequisite of a course in functional analysis. The first part of this text is devoted to studying functions of one variable. Several of the topics treated occur in courses on real analysis or measure theory. Here, the perspective emphasizes their applications to Sobolev functions, giving a very different flavor to the treatment. This elementary start to the book makes it suitable for advanced undergraduates or beginning graduate students. Moreover, the one-variable part of the book helps to develop a solid background that facilitates the reading and understanding of Sobolev functions of several variables. The second part of the book is more classical, although it also contains some recent results. Besides the standard results on Sobolev functions, this part of the book includes chapters on BV functions, symmetric rearrangement, and Besov spaces. The book contains over 200 exercises.
Detail Book of A First Course in Sobolev Spaces PDF
- Author : Giovanni Leoni
- Release : 29 September 2024
- Publisher : American Mathematical Soc.
- ISBN : 9780821847688
- Genre : Mathematics
- Total Page : 626 pages
- Language : English
- PDF File Size : 13,8 Mb
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