PDF Download Analysis (Graduate Studies in Mathematics, V. 14)By Elliott H. Lieb, Michael Loss
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Analysis (Graduate Studies in Mathematics, V. 14)By Elliott H. Lieb, Michael Loss
PDF Download Analysis (Graduate Studies in Mathematics, V. 14)By Elliott H. Lieb, Michael Loss
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This text provides a course in real analysis, begining with measure theory. It is presumed that readers have a sound basic background in calculus. Topics covered include P-spaces, rearrangement inequalities, sharp integral inequalities, distribution theory, Fourier analysis, potential theory and Sobolev spaces. The text concludes with a chapter on the calculus of variation and includes examples from mathematical physics.
- Sales Rank: #3829952 in Books
- Brand: Brand: Amer Mathematical Society
- Published on: 1996-11
- Original language: English
- Number of items: 1
- Dimensions: 10.50" h x 7.50" w x .75" l,
- Binding: Hardcover
- 300 pages
- Used Book in Good Condition
Review
"Analysis is a unique book. It is written very much from the perspective of a user of analysis ... I do not know of any other book that shows so well what it takes to do research in applied and variational analysis or to solve real analysis problems as they naturally arise in mathematical physics and quantum mechanics ... The book is also very attractively produced ... The AMS is setting a new standard ... proving that quality editions do not have to be expensive ... [Students] found the concrete and constructive nature of the approach in the book very attractive." -- Bruno Nachtergaele, University of California, Davis
"I find the selection of the material covered in the book very attractive and I recommend the book to anybody who wants to learn about classical as well as modern mathematical analysis." -- European Mathematical Society Newsletter
"Lieb and Loss offer a practical presentation of real and functional analysis at the beginning graduate level ... could be used as a two-semester introduction to graduate analysis ... not all of the topics covered are typical. The authors introduce the subject with a thorough presentation ... [an] informative exposition." -- Choice
"The book was ideal for my purposes, which included some introduction to some problems in mathematical physics, some `reinforcement' of what they already learned in real variable, and a good overview of the inequalities that working analysts need to use ... I personally find the book an extremely useful and convenient reference for research purposes." -- Lawrence E. Thomas, University of Virginia, Charlottesville
"[The text was used as] a supplemental resource ... appropriate because Lieb and Loss's approach to this subject is quite unusual ... When looking at a particularly complicated set of ideas, I suggest [that students], "Have a look at Lieb/Loss. They have a nice way of cutting through all the difficulties and giving you a real picture of what is going on" ... I would certainly recommend this book [as a supplemental text] to colleagues who are teaching graduate real analysis." -- Steven G. Krantz, Washington University, St. Louis
From the Publisher
This is an excellent course in operator theory and operator algebras ... leads the reader to deep new results and modern research topics ... the author has done more than just write a good book--he has managed to reveal the unspeakable charm of the subject, which is indeed the "source of happiness" for operator theorists.
-- Mathematical Reviews
About the Author
About the authors: Elliott Lieb is Professor of Mathematics and Physics at Princeton University and is a member of the US, Austrian, and Danish Academies of Science. He is also the recipient of several prizes including the 1988 AMS/SIAM Birkhoff prize. Michael Loss is Professor of Mathematics at the Georgia Institute of Technology.
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