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Modern Analysis and Topology - Norman R. Howes
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ISBN: 9780387979861

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The purpose of this book is to provide an integrated development of modern analysis and topology through the integrating vehicle of uniform spaces. It is intended that the material be accessible to a reader of modest background. An advanced calculus course and an introductory topology course should be adequate. But it is also intended that this book be able to take the reader from that state to the frontiers of modern analysis and topology in-so-far as they can be done within the framework of uniform spaces. Modern analysis is usually developed in the setting of metric spaces although a great deal of harmonic analysis is done on topological groups and much offimctional analysis is done on various topological algebraic structures. All of these spaces are special cases of uniform spaces. Modern topology often involves spaces that are more general than uniform spaces, but the uniform spaces provide a setting general enough to investigate many of the most important ideas in modern topology, including the theories of Stone-Cech compactification, Hewitt Real-compactification and Tamano-Morita Para compactification, together with the theory of rings of continuous functions, while at the same time retaining a structure rich enough to support modern analysis. Bücher / Naturwissenschaften, Medizin, Informatik & Technik / Mathematik / Analysis, [PU: Springer]

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The purpose of this book is to provide an integrated development of modern analysis and topology through the integrating vehicle of uniform spaces. It is intended that the material be accessible to a reader of modest background. An advanced calculus course and an introductory topology course should be adequate. But it is also intended that this book be able to take the reader from that state to the frontiers of modern analysis and topology in-so-far as they can be done within the framework of uniform spaces. Modern analysis is usually developed in the setting of metric spaces although a great deal of harmonic analysis is done on topological groups and much offimctional analysis is done on various topological algebraic structures. All of these spaces are special cases of uniform spaces. Modern topology often involves spaces that are more general than uniform spaces, but the uniform spaces provide a setting general enough to investigate many of the most important ideas in modern topology, including the theories of Stone-Cech compactification, Hewitt Real-compactification and Tamano-Morita Para- compactification, together with the theory of rings of continuous functions, while at the same time retaining a structure rich enough to support modern analysis. calculus,mathematics,science and math,science and math,textbooks Mathematics, Springer

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[Paperback] [Oct 04, 2013] Springer-Verlag 1995, DE, [SC: 3.00], gebraucht wie neu, gewerbliches Angebot, Banküberweisung, Selbstabholung und Barzahlung, [PU: Springer]

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Modern Analysis and Topology:Universitext. 1995. Auflage Norman R. Howes Modern Analysis and Topology:Universitext. 1995. Auflage Norman R. Howes Bücher > Wissenschaft > Mathematik, Springer

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Details zum Buch
Modern Analysis and Topology

The purpose of this book is to provide an integrated development of modern analysis and topology through the integrating vehicle of uniform spaces. The reader should have taken an advanced calculus course and an introductory topology course. It is intended that a subset of the book could be used for an upper-level undergraduate course whereas much of the full text would be suitable for a one-year graduate class. An attempt has been made to document the history of all the central ideas and references and historical notes are embedded in the text. These can lead the interested reader to the foundational sources where these ideas emerged.

Detailangaben zum Buch - Modern Analysis and Topology


EAN (ISBN-13): 9780387979861
ISBN (ISBN-10): 0387979867
Gebundene Ausgabe
Taschenbuch
Erscheinungsjahr: 1995
Herausgeber: Springer-Verlag GmbH
444 Seiten
Gewicht: 0,661 kg

Buch in der Datenbank seit 29.04.2007 22:35:18
Buch zuletzt gefunden am 22.10.2017 20:34:15
ISBN/EAN: 0387979867

ISBN - alternative Schreibweisen:
0-387-97986-7, 978-0-387-97986-1


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