Sinossi
A complete course on metric, normed, and Hilbert spaces, including many results and exercises seldom found in texts on analysis at this level. The author covers an unusually wide range of material in a clear and concise format, including elementary real analysis, Lebesgue integration on R, and an introduction to functional analysis. The book begins with a fast-paced course on real analysis, followed by an introduction to the Lebesgue integral. This provides a reference for later chapters as well as a preparation for students with only the typical sequence of undergraduate calculus courses as prerequisites. Other features include a chapter introducing functional analysis, the Hahn-Banach theorem and duality, separation theorems, the Baire Category Theorem, the Open Mapping Theorem and their consequences, and unusual applications. Of special interest are the 750 exercises, many with guidelines for their solutions, applications and extensions of the main propositions and theorems, pointers to new branches of the subject, and difficult challenges for the very best students.
Le informazioni nella sezione "Riassunto" possono far riferimento a edizioni diverse di questo titolo.
Contenuti
Real Analysis.- Analysis on the Real Line.- Differentiation and the Lebesgue Integral.- Abstract Analysis.- Analysis in Metric Spaces.- Analysis in Normed Linear Spaces.- Hilbert Spaces.- An Introduction to Functional Analysis.
Product Description
Book by Bridges Douglas S
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Foundations of Real and Abstract Analysis
Da: Majestic Books, Hounslow, Regno Unito
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Foundations of Real and Abstract Analysis
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Foundations of Real and Abstract Analysis (Graduate Texts in Mathematics)
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Springer, 1997
ISBN 10: 0387982396
ISBN 13: 9780387982397
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Foundations of Real and Abstract Analysis (Graduate Texts in Mathematics, 174)
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hardcover. Condizione: New. In shrink wrap. Looks like an interesting title! Codice articolo Q-0387982396
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Foundations of Real and Abstract Analysis (Graduate Texts in Mathematics, 174)
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Foundations of Real and Abstract Analysis
Print on DemandDa: BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, Germania
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Buch. Condizione: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -The core chapters of this volume provide a complete course on metric, normed, and Hilbert spaces, and include many results and exercises seldom found in texts on analysis at this level. The author covers an unusually wide range of material in a clear and concise format including elementary real analysis, Lebesgue integration on R, and an introduction to functional analysis. This makes a versatile text also suited for courses on real analysis, metric spaces, abstract analysis, and modern analysis. The book begins with a comprehensive chapter providing a fast-paced course on real analysis, and is followed by an introduction to the Lebesgue integral. This provides a reference for later chapters as well as an introduction for students with only the typical sequence of undergraduate calculus courses as prerequisites. Other features include a chapter introducing functional analysis, the Hahn-Banach theorem and duality, separation theorems, the Baire Category Theorem, the Open Mapping Theorem and their consequences, and unusual applications such as weak solutions of the Dirichlet Problem and Pareto optimality in Mathematical Economics. Of special interest is the unique collection of nearly 750 exercises, many with guidelines for their solutions. The exercises include applications and extensions of the main propositions and theorems, results that fill in gaps in proofs or that prepare for proofs later in the book, pointers to new branches of the subject, and difficult challenges for the very best students. 344 pp. Englisch. Codice articolo 9780387982397
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Foundations of Real and Abstract Analysis
Editore:
Springer-Verlag New York Inc., US, 1997
ISBN 10: 0387982396
ISBN 13: 9780387982397
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Hardback. Condizione: New. 1998 ed. The core chapters of this volume provide a complete course on metric, normed, and Hilbert spaces, and include many results and exercises seldom found in texts on analysis at this level. The author covers an unusually wide range of material in a clear and concise format including elementary real analysis, Lebesgue integration on R, and an introduction to functional analysis. This makes a versatile text also suited for courses on real analysis, metric spaces, abstract analysis, and modern analysis. The book begins with a comprehensive chapter providing a fast-paced course on real analysis, and is followed by an introduction to the Lebesgue integral. This provides a reference for later chapters as well as an introduction for students with only the typical sequence of undergraduate calculus courses as prerequisites. Other features include a chapter introducing functional analysis, the Hahn-Banach theorem and duality, separation theorems, the Baire Category Theorem, the Open Mapping Theorem and their consequences, and unusual applications such as weak solutions of the Dirichlet Problem and Pareto optimality in Mathematical Economics.Of special interest is the unique collection of nearly 750 exercises, many with guidelines for their solutions. The exercises include applications and extensions of the main propositions and theorems, results that fill in gaps in proofs or that prepare for proofs later in the book, pointers to new branches of the subject, and difficult challenges for the very best students. Codice articolo LU-9780387982397
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Foundations of Real and Abstract Analysis
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Gebunden. Condizione: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. * A wide range of material * Clear and concise format * Unique collection of nearly 750 exercises * Pointers to new branches of the subjectA wide range of material * Clear and concise format * Unique collection of nearly 750 exercises *Pointer. Codice articolo 5913220
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Foundations of Real and Abstract Analysis
Editore:
Springer-Verlag New York Inc., 1997
ISBN 10: 0387982396
ISBN 13: 9780387982397
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Hardback. Condizione: New. This item is printed on demand. New copy - Usually dispatched within 5-9 working days. Codice articolo C9780387982397
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Foundations of Real and Abstract Analysis
Editore:
Springer, Copernicus Okt 1997, 1997
ISBN 10: 0387982396
ISBN 13: 9780387982397
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Buch. Condizione: Neu. This item is printed on demand - Print on Demand Titel. Neuware -This book represents a first course in the theory of metric, normed, and Hilbert spaces, and is intended (i) for mathematicians, physicists, and others who may need only one course that provides the elements of that subject, and (ii) as a foundation for more advanced courses in analysis, topology, and geometry for pure mathematicians. Prerequisites is a knowledge of the basic ideas of limits and continuity.Springer-Verlag KG, Sachsenplatz 4-6, 1201 Wien 344 pp. Englisch. Codice articolo 9780387982397
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