Articles liés à Foundations of Real and Abstract Analysis
Synopsis
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.
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Foundations of Real and Abstract Analysis (Graduate Texts in Mathematics)
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Foundations of Real and Abstract Analysis
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Foundations of Real and Abstract Analysis (Paperback)
Edité par
Springer-Verlag New York Inc., New York, NY, 2013
ISBN 10 : 1475771614
ISBN 13 : 9781475771619
Neuf
Paperback
Vendeur : Grand Eagle Retail, Mason, OH, Etats-Unis
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Paperback. Etat : new. Paperback. The core of this book, Chapters three through five, presents a course on metric, normed, and Hilbert spaces at the senior/graduate level. The motivation for each of these chapters is the generalisation of a particular attribute of the n Euclidean space R: in Chapter 3, that attribute is distance; in Chapter 4, length; and in Chapter 5, inner product. In addition to the standard topics that, arguably, should form part of the armoury of any graduate student in mathematics, physics, mathematical economics, theoretical statistics, . . , this part of the book contains many results and exercises that are seldom found in texts on analysis at this level. Examples of the latter are Wongs Theorem (3.3.12) showing that the Lebesgue covering property is equivalent to the uniform continuity property, and Motzkins result (5. 2. 2) that a nonempty closed subset of Euclidean space has the unique closest point property if and only if it is convex. The sad reality today is that, perceiving them as one of the harder parts of their mathematical studies, students contrive to avoid analysis courses at almost any cost, in particular that of their own educational and technical deprivation. Many universities have at times capitulated to the negative demand of students for analysis courses and have seriously watered down their expectations of students in that area. As a result, mathematics majors are graduating, sometimes with high honours, with little exposure to anything but a rudimentary course or two on real and complex analysis, often without even an introduction to the Lebesgue integral. The sad reality today is that, perceiving them as one of the harder parts of their mathematical studies, students contrive to avoid analysis courses at almost any cost, in particular that of their own educational and technical deprivation. Shipping may be from multiple locations in the US or from the UK, depending on stock availability. N° de réf. du vendeur 9781475771619
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Foundations of Real and Abstract Analysis
Edité par
Springer, 2013
ISBN 10 : 1475771614
ISBN 13 : 9781475771619
Ancien ou d'occasion
Couverture souple
Vendeur : GreatBookPrices, Columbia, MD, Etats-Unis
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Foundations of Real and Abstract Analysis (Graduate Texts in Mathematics)
Vendeur : Ria Christie Collections, Uxbridge, Royaume-Uni
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Foundations of Real and Abstract Analysis (Graduate Texts in Mathematics)
Vendeur : Chiron Media, Wallingford, Royaume-Uni
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Paperback. Etat : New. N° de réf. du vendeur 6666-IUK-9781475771619
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Foundations of Real and Abstract Analysis
Edité par
Springer New York, Chapman And Hall/CRC Mär 2013, 2013
ISBN 10 : 1475771614
ISBN 13 : 9781475771619
Neuf
Taschenbuch
Vendeur : BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, Allemagne
Évaluation du vendeur 5 sur 5 étoiles
Taschenbuch. Etat : Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -The core of this book, Chapters three through five, presents a course on metric, normed, and Hilbert spaces at the senior/graduate level. The motivation for each of these chapters is the generalisation of a particular attribute of the n Euclidean space R: in Chapter 3, that attribute is distance; in Chapter 4, length; and in Chapter 5, inner product. In addition to the standard topics that, arguably, should form part of the armoury of any graduate student in mathematics, physics, mathematical economics, theoretical statistics, . . , this part of the book contains many results and exercises that are seldom found in texts on analysis at this level. Examples of the latter are Wong's Theorem (3.3.12) showing that the Lebesgue covering property is equivalent to the uniform continuity property, and Motzkin's result (5. 2. 2) that a nonempty closed subset of Euclidean space has the unique closest point property if and only if it is convex. The sad reality today is that, perceiving them as one of the harder parts of their mathematical studies, students contrive to avoid analysis courses at almost any cost, in particular that of their own educational and technical deprivation. Many universities have at times capitulated to the negative demand of students for analysis courses and have seriously watered down their expectations of students in that area. As a result, mathematics majors are graduating, sometimes with high honours, with little exposure to anything but a rudimentary course or two on real and complex analysis, often without even an introduction to the Lebesgue integral. 344 pp. Englisch. N° de réf. du vendeur 9781475771619
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Foundations of Real and Abstract Analysis
Vendeur : Books Puddle, New York, NY, Etats-Unis
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Etat : New. pp. 344. N° de réf. du vendeur 2697860732
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Foundations of Real and Abstract Analysis
Edité par
Springer-Verlag New York Inc., 2013
ISBN 10 : 1475771614
ISBN 13 : 9781475771619
Neuf
Paperback / softback
Vendeur : THE SAINT BOOKSTORE, Southport, Royaume-Uni
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Paperback / softback. Etat : New. This item is printed on demand. New copy - Usually dispatched within 5-9 working days 558. N° de réf. du vendeur C9781475771619
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Foundations of Real and Abstract Analysis
impression à la demandeVendeur : Majestic Books, Hounslow, Royaume-Uni
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Etat : New. Print on Demand pp. 344 49:B&W 6.14 x 9.21 in or 234 x 156 mm (Royal 8vo) Perfect Bound on White w/Gloss Lam. N° de réf. du vendeur 94536611
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