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Author: James K. Peterson
Publisher: CRC Press
ISBN: 1351679244
Category : Mathematics
Languages : en
Pages : 500
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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
Get Book Here
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
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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: A.T. Kearney, Inc
Publisher:
ISBN:
Category : Railroad law
Languages : en
Pages : 460
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Book Description
Author: By Plato
Publisher: BookRix
ISBN: 3736801467
Category : Philosophy
Languages : en
Pages : 530
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Book Description
The Republic is a Socratic dialogue, written by Plato around 380 BCE, concerning the definition of justice, the order and character of the just city-state and the just man. The dramatic date of the dialogue has been much debated and though it must take place some time during the Peloponnesian War, "there would be jarring anachronisms if any of the candidate specific dates between 432 and 404 were assigned". It is Plato's best-known work and has proven to be one of the most intellectually and historically influential works of philosophy and political theory. In it, Socrates along with various Athenians and foreigners discuss the meaning of justice and examine whether or not the just man is happier than the unjust man by considering a series of different cities coming into existence "in speech", culminating in a city (Kallipolis) ruled by philosopher-kings; and by examining the nature of existing regimes. The participants also discuss the theory of forms, the immortality of the soul, and the roles of the philosopher and of poetry in society.
Author: Lars Hörmander
Publisher: Springer Science & Business Media
ISBN: 364200136X
Category : Mathematics
Languages : en
Pages : 363
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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: G. G. Lauenstein
Publisher:
ISBN:
Category : Environmental monitoring
Languages : en
Pages : 160
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Book Description
Author: G. G. Lauenstein
Publisher:
ISBN:
Category : Environmental monitoring
Languages : en
Pages : 204
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Book Description
Author: G. G. Lauenstein
Publisher:
ISBN:
Category : Environmental monitoring
Languages : en
Pages : 160
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Book Description
Author: George Orwell
Publisher: DigiCat
ISBN:
Category : Fiction
Languages : en
Pages : 265
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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: Hamish Carr
Publisher: Springer
ISBN: 3319446843
Category : Mathematics
Languages : en
Pages : 355
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Book Description
This book presents contributions on topics ranging from novel applications of topological analysis for particular problems, through studies of the effectiveness of modern topological methods, algorithmic improvements on existing methods, and parallel computation of topological structures, all the way to mathematical topologies not previously applied to data analysis. Topological methods are broadly recognized as valuable tools for analyzing the ever-increasing flood of data generated by simulation or acquisition. This is particularly the case in scientific visualization, where the data sets have long since surpassed the ability of the human mind to absorb every single byte of data. The biannual TopoInVis workshop has supported researchers in this area for a decade, and continues to serve as a vital forum for the presentation and discussion of novel results in applications in the area, creating a platform to disseminate knowledge about such implementations throughout and beyond the community. The present volume, resulting from the 2015 TopoInVis workshop held in Annweiler, Germany, will appeal to researchers in the fields of scientific visualization and mathematics, domain scientists with an interest in advanced visualization methods, and developers of visualization software systems.
