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Analysis Graduate Studies in Mathematics |
Elliott H. Lieb, Michael Loss, “Analysis (Graduate Studies in Mathematics)”
American Mathematical Society | 2001-04-01 | ISBN: 0821827839 | 346 pages | DJVU | 1,65 MB
Significantly revised and expanded, this new Second Edition provides readers at all levels—from beginning students to practicing analysts—with the basic concepts and standard tools necessary to solve problems of analysis, and how to apply these concepts to research in a variety of areas.
Authors Elliott Lieb and Michael Loss take you quickly from basic topics to methods that work successfully in mathematics and its applications. While omitting many usual typical textbook topics, Analysis includes all necessary definitions, proofs, explanations, examples, and exercises to bring the reader to an advanced level of understanding with a minimum of fuss, and, at the same time, doing so in a rigorous and pedagogical way. Many topics that are useful and important, but usually left to advanced monographs, are presented in Analysis, and these give the beginner a sense that the subject is alive and growing.
This new Second Edition incorporates numerous changes since the publication of the original 1997 edition and includes:
Features:
a new chapter on eigenvalues that covers the min-max principle, semi-classical approximation, coherent states, Lieb-Thirring inequalities, and more
extensive additions to chapters covering Sobolev Inequalities, including the Nash and Log Sobolev inequalities
new material on Measure and Integration
many new exercises
and much more …
The Second Edition continues its no-nonsense approach to the topic that has made it one of the best selling books on the subject. It is an authoritative, straight-forward volume that readers—from the graduate student, to the professional mathematician, to the physicist or engineer using analytical methods—will find useful both as a reference and as a guide to real problem solving.
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Discrete Mathematics for Computing |
Peter Grossman, “Discrete Mathematics for Computing”
Palgrave Macmillan; 2 ed | 2002-08-16 | ISBN: 0333981111 | 320 pages | PDF | 1,1 MB
Written with a clear and informal style “Discrete Mathematics for Computing” is aimed at first-year undergraduate computing students with very little mathematical background. It is a low-level introductory text which takes the topics at a gentle pace, covering all the essential material that forms the background for studies in computing and information systems. This edition includes new sections on proof methods and recurrences, and the examples have been updated throughout to reflect the changes in computing since the first edition.
About the Author
PETER GROSSMAN has worked in both academic and industrial roles as a mathematician and computing professional. As a lecturer in mathematics, he was responsible for co-ordination and subject development of mathematics subjects for Computing students. He currently works in industry, in the areas of mathematical modelling and software development.
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