Handbook of Analysis and Its Foundations: A Handbook [English] [Hardcover] Eric Schechter algebra topology normed spaces integration theory topological vector spaces differential equations Mathematcs Mathe Informatiker Mathematische Analyse Analysis Mathematik Informatik This text provides an introduction to a wide range of topics in analysis including set theory and mathematical logic; algebra; toplogy; normed spaces; integration theory; toplogical vector spaces; and differential equations.Handbook of Analysis and Its Foundations is a self-contained and unified handbook on mathematical analysis and its foundations. Intended as a self-study guide for advanced undergraduates and beginning graduatestudents in mathematics and a reference for m

Idioma: inglés

Editorial: Springer Verlag, 1996

0126227608 / 9780126227604

Librería: BUCHSERVICE / ANTIQUARIAT Lars Lutzer, Wahlstedt, AlemaniaBUCHSERVICE / ANTIQUARIAT Lars Lutzer

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This text provides an introduction to a wide range of topics in analysis including set theory and mathematical logic; algebra; toplogy; normed spaces; integration theory; toplogical vector spaces; and differential equations.Handbook of Analysis and Its Foundations is a self-contained and unified handbook on mathematical analysis and its foundations. Intended as a self-study guide for advanced undergraduates and beginning graduatestudents in mathematics and a reference for more advanced mathematicians, this highly readable book provides broader coverage than competing texts in the area. Handbook of Analysis and Its Foundations provides an introduction to a wide range of topics, including: algebra; topology; normed spaces; integration theory; topological vector spaces; and differential equations. The author effectively demonstrates the relationships between these topics and includes a few chapters on set theory and logic to explain the lack of examples for classical pathological objects whose existence proofs are not constructive. More complete than any other book on the subject, students will find this to be an invaluable handbook. "This is quite a book! From the table of contents, it would appear to include just about everything one would want to know about the foundations of analysis. It is well-organized and the exposition in the sample chapters is quite good - clear, concise, and relatively easy to read. It is very good technically, the author knows what he is talking about." --George L. Cain, Georgia Institute of Technology Foundations of Analysis is a self-contained and unified handbook on the foundations of mathematical analysis. Intended as a self-study guide for advanced undergraduates and beginning graduate students in mathematics and a reference for more advanced mathematicians, this highly readable book provides broader coverage than competing texts in the area. Foundations of Analysis provides an introduction to a wide range of topics, includingset theory and mathematical logic, algebra, topology, normed spaces, integration theory, topological vector spaces, and differential equations. The author effectively demonstrates the relationships between these topics and includes a few chapters on set theory and logic to explain the lack of examples in the presentation of classical pathological objects through nonconstructive proofs. More complete than any other book on the subject, students will find this to be an invaluable handbook. Eric Schechter obtained his Ph.D. in mathematics at the University of Chicago. He is currently Associate Professor at Vanderbilt University, and has also taught at Duke University. Schechters research focuses on differential equations, fixed point theory, and the Axiom of Choice. He currently resides in Nashville, Tennessee with his wife, Elvira Casal, and his two children. Content: Sets and orderings: sets; functions; relations and orderings; more about sups and infs; sets of sets - filters topologies; constructivism and choice; nets and convergences. Algebra: elementary algebraic systems; concrete categories; the real numbers; linearity; convexity; boolean algebras; logic and intangibles. Topology and uniformity: toplogical spaces separation and regularity axioms; compactness; uniform spaces; metric and uniform completeness; Baire theory; positive measure and integration. Topological vector spaces: norms; normed operators; generalized Riemann integrals; Frechet derivatives; metrization of groups and vector spaces; barrels and other features of TVSs; duality and weak compactness; vector measures; initial value problems. Zusatzinfo references, index Sprache englisch Maße 200 x 242 mm Mathematik Informatik Mathematcs Mathe Informatiker Mathematische Analyse Analysis ISBN-10 0-12-622760-8 0126227608 ISBN-13 978-0-12-622760-4 9780126227604 In englischer Sprache. 883 pages. 24,2 x 19,8 x 4,6 cm.

N° de ref. del artículo BN14516

Título
Handbook of Analysis and Its Foundations: A Handbook [English] [Hardcover] Eric Schechter algebra topology normed spaces integration theory topological vector spaces differential equations Mathematcs Mathe Informatiker Mathematische Analyse Analysis Mathematik Informatik This text provides an introduction to a wide range of topics in analysis including set theory and mathematical logic; algebra; toplogy; normed spaces; integration theory; toplogical vector spaces; and differential equations.Handbook of Analysis and Its Foundations is a self-contained and unified handbook on mathematical analysis and its foundations. Intended as a self-study guide for advanced undergraduates and beginning graduatestudents in mathematics and a reference for m
Autor
Eric Schechter (Autor)
Editorial
Springer Verlag
Año de publicación
1996
Estado
gut
Encuadernación
Hardcover
Idioma
inglés
ISBN 10
0126227608
ISBN 13
9780126227604
Edición
1996.
Peso del artículo
2000 gramos

BUCHSERVICE / ANTIQUARIAT Lars Lutzer

Wahlstedt, Alemania

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Vendedor de AbeBooks desde 14 de julio de 2011

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