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Author: James K. Peterson Publisher: CRC Press ISBN: 1351679244 Category : Mathematics Languages : en Pages : 500
Book Description
Basic Analysis IV: Measure Theory and Integration introduces students to concepts from measure theory and continues their training in the abstract way of looking at the world. This is a most important skill to have when your life's work will involve quantitative modeling to gain insight into the real world. This text generalizes the notion of integration to a very abstract setting in a variety of ways. We generalize the notion of the length of an interval to the measure of a set and learn how to construct the usual ideas from integration using measures. We discuss carefully the many notions of convergence that measure theory provides. Features • Can be used as a traditional textbook as well as for self-study • Suitable for advanced students in mathematics and associated disciplines • Emphasises learning how to understand the consequences of assumptions using a variety of tools to provide the proofs of propositions
Author: James K. Peterson Publisher: CRC Press ISBN: 1351679244 Category : Mathematics Languages : en Pages : 500
Book Description
Basic Analysis IV: Measure Theory and Integration introduces students to concepts from measure theory and continues their training in the abstract way of looking at the world. This is a most important skill to have when your life's work will involve quantitative modeling to gain insight into the real world. This text generalizes the notion of integration to a very abstract setting in a variety of ways. We generalize the notion of the length of an interval to the measure of a set and learn how to construct the usual ideas from integration using measures. We discuss carefully the many notions of convergence that measure theory provides. Features • Can be used as a traditional textbook as well as for self-study • Suitable for advanced students in mathematics and associated disciplines • Emphasises learning how to understand the consequences of assumptions using a variety of tools to provide the proofs of propositions
Author: Roger Godement Publisher: Springer ISBN: 3319169076 Category : Mathematics Languages : en Pages : 535
Book Description
Analysis Volume IV introduces the reader to functional analysis (integration, Hilbert spaces, harmonic analysis in group theory) and to the methods of the theory of modular functions (theta and L series, elliptic functions, use of the Lie algebra of SL2). As in volumes I to III, the inimitable style of the author is recognizable here too, not only because of his refusal to write in the compact style used nowadays in many textbooks. The first part (Integration), a wise combination of mathematics said to be `modern' and `classical', is universally useful whereas the second part leads the reader towards a very active and specialized field of research, with possibly broad generalizations.
Author: Lars Hörmander Publisher: Springer Science & Business Media ISBN: 364200136X Category : Mathematics Languages : en Pages : 363
Book Description
From the reviews: "Volumes III and IV complete L. Hörmander's treatise on linear partial differential equations. They constitute the most complete and up-to-date account of this subject, by the author who has dominated it and made the most significant contributions in the last decades.....It is a superb book, which must be present in every mathematical library, and an indispensable tool for all - young and old - interested in the theory of partial differential operators." L. Boutet de Monvel in Bulletin of the American Mathematical Society, 1987 "This treatise is outstanding in every respect and must be counted among the great books in mathematics. It is certainly no easy reading (...) but a careful study is extremely rewarding for its wealth of ideas and techniques and the beauty of presentation." J. Brüning in Zentralblatt MATH, 1987 Honours awarded to Lars Hörmander: Fields Medal 1962, Speaker at International Congress 1970, Wolf Prize 1988, AMS Steele Prize 2006
Author: George Orwell Publisher: DigiCat ISBN: Category : Fiction Languages : en Pages : 265
Book Description
This is a dystopian social science fiction novel and morality tale. The novel is set in the year 1984, a fictional future in which most of the world has been destroyed by unending war, constant government monitoring, historical revisionism, and propaganda. The totalitarian superstate Oceania, ruled by the Party and known as Airstrip One, now includes Great Britain as a province. The Party uses the Thought Police to repress individuality and critical thought. Big Brother, the tyrannical ruler of Oceania, enjoys a strong personality cult that was created by the party's overzealous brainwashing methods. Winston Smith, the main character, is a hard-working and skilled member of the Ministry of Truth's Outer Party who secretly despises the Party and harbors rebellious fantasies.
Author: James K. Peterson
Author: James K. Peterson
Author: Roger Godement
Author: A.T. Kearney, Inc
Author: G. G. Lauenstein
Author: Lars Hörmander
Author: G. G. Lauenstein
Author: G. G. Lauenstein
Author: George Orwell
Author: 
Author: United States. Department of the Air Force