Continuous Functions of Vector Variables

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9780817642730: Continuous Functions of Vector Variables
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"The book is devoted to mathematical analysis in multi-dimensional spaces, including infinite-dimensional ones…One of the important characteristics of the text is the topological approach. …It is worth mentioning that all these ideas are presented in conformity with the situation, i.e. they are strictly related to normed spaces and no unnecessary abstract setting is used. … The language is very clear and sometimes very ‘fresh’ if compared with classical textbooks, so that it may better appeal to the reader. There are many exercises, and the book concludes with a chapter containing solutions."

—MATHEMATICAL REVIEWS

"This is a textbook on calculus of several variables. It covers algebraic and metric structure of the Euclidean space, convergence, basic properties of continuous functions and topology in normed spaces.... In my opinion, this topological approach is one of the advantages of the book under review. It is written very clearly and contains numerous examples and instructive pictures. Each section is endowed with a set of exercises, and the book is concluded with solutions to these exercises. This is a nice and user-friendly textbook which can be recommended for a one-semester course in multivariable calculus."

—ZENTRALBLATT MATH

"The presentation is detailed and clear. The leisurely discursive style adopted by the author will be appreciated by beginners. The fact that the solution of each and every exercise can be found at the end of the book, considerable enhances its value and makes it suitable also for individual study. This book successfully bridges the gap between elemntary calculus and such higher disciplines as real functions, general topology, and, in particular, functional analysis."

—PUBLICATIONES MATHEMATICAE, DEBRECEN

From the Publisher:

This is an axiomatic treatment of the properties of continuous multivariable functions and related results from topology. The author covers boundedness, extreme values, and uniform continuity of functions, along with connections between continuity and topological concepts such as connectedness and compactness. The order of topics mimics the order of development in elementary calculus, with analogies and generalizations from such familiar ideas as the Pythagorean theorem.

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1.

Guzman, Alberto
Editorial: Birkhauser Boston, Germany (2002)
ISBN 10: 0817642730 ISBN 13: 9780817642730
Nuevos Paperback Cantidad: 1
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Descripción Birkhauser Boston, Germany, 2002. Paperback. Estado de conservación: New. 2002 ed.. 231 x 155 mm. Language: English . Brand New Book. This is an axiomatic treatment of the properties of continuous multivariable functions and related results from topology. The author covers boundedness, extreme values, and uniform continuity of functions, along with connections between continuity and topological concepts such as connectedness and compactness. The order of topics mimics the order of development in elementary calculus, with analogies and generalizations from such familiar ideas as the Pythagorean theorem. Nº de ref. de la librería KNV9780817642730

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Guzman, Alberto
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ISBN 10: 0817642730 ISBN 13: 9780817642730
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Descripción Birkhauser Boston, 2002. PAP. Estado de conservación: New. New Book. Delivered from our UK warehouse in 3 to 5 business days. THIS BOOK IS PRINTED ON DEMAND. Established seller since 2000. Nº de ref. de la librería LQ-9780817642730

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Guzman, Alberto
Editorial: Birkhäuser
ISBN 10: 0817642730 ISBN 13: 9780817642730
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Descripción Birkhäuser. PAPERBACK. Estado de conservación: New. 0817642730 Brand New Book. Ships from the United States. 30 Day Satisfaction Guarantee!. Nº de ref. de la librería 13435317

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Guzman, Alberto
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Descripción Birkhauser Boston, 2002. PAP. Estado de conservación: New. New Book. Shipped from US within 10 to 14 business days. THIS BOOK IS PRINTED ON DEMAND. Established seller since 2000. Nº de ref. de la librería IQ-9780817642730

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Guzman, Alberto
Editorial: Birkhauser Boston, Germany (2002)
ISBN 10: 0817642730 ISBN 13: 9780817642730
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Descripción Birkhauser Boston, Germany, 2002. Paperback. Estado de conservación: New. 2002 ed.. 231 x 155 mm. Language: English . Brand New Book. This is an axiomatic treatment of the properties of continuous multivariable functions and related results from topology. The author covers boundedness, extreme values, and uniform continuity of functions, along with connections between continuity and topological concepts such as connectedness and compactness. The order of topics mimics the order of development in elementary calculus, with analogies and generalizations from such familiar ideas as the Pythagorean theorem. Nº de ref. de la librería KNV9780817642730

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Guzman, Alberto
ISBN 10: 0817642730 ISBN 13: 9780817642730
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Descripción Estado de conservación: New. Publisher/Verlag: Springer, Basel | This text is an axiomatic treatment of the properties of continuous multivariable functions and related results from topology. In the context of normed vector spaces, the author covers boundedness, extreme values, and uniform continuity of functions, along with the connections between continuity and topological concepts such as connectedness and compactness. The order of topics deliberately mimics the order of development in elementary calculus. This sequencing allows for an elementary approach, with analogies to and generalizations from such familiar ideas as the Pythagorean theorem. The reader is frequently reminded that the pictures suggested by geometry are powerful guides and tools. The definition-theorem-proof format resides within an informal exposition, containing numerous historical comments and questions within and between the proofs. The objective is to present precise proofs, but in a structure and tone that teach the student to plan and write proofs, both in general and specifically for the real analysis course that will follow this one. Applications are included where they provide interesting illustrations of the principles and theorems presented. Problems, solutions, bibliography and index complete this book. `Continuous Functions of Vector Variables' is suitable for a course in multivariable calculus aimed at advanced undergraduates preparing for graduate programs in pure mathematics. Required background includes a course in the theory of single-variable calculus and the elements of linear algebra. | Introduction - Euclidian Space - Sequences In Normed Spaces - Limits and Continuity in Normed Spaces - Characteristics of Continuous Functions - Topology in Normed Spaces - Answers - Bibliography - Index | Format: Paperback | Language/Sprache: english | 318 gr | 210 pp. Nº de ref. de la librería K9780817642730

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Guzman, Alberto
Editorial: Birkhäuser (2002)
ISBN 10: 0817642730 ISBN 13: 9780817642730
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Herb Tandree Philosophy Books
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Descripción Birkhäuser, 2002. Paperback. Estado de conservación: NEW. 9780817642730 This listing is a new book, a title currently in-print which we order directly and immediately from the publisher. Nº de ref. de la librería HTANDREE0411754

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Guzman, Alberto
Editorial: Birkhäuser (2016)
ISBN 10: 0817642730 ISBN 13: 9780817642730
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Descripción Birkhäuser, 2016. Paperback. Estado de conservación: New. PRINT ON DEMAND Book; New; Publication Year 2016; Not Signed; Fast Shipping from the UK. No. book. Nº de ref. de la librería ria9780817642730_lsuk

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Guzman, Alberto
ISBN 10: 0817642730 ISBN 13: 9780817642730
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Descripción Estado de conservación: New. Brand new book, sourced directly from publisher. Dispatch time is 24-48 hours from our warehouse. Book will be sent in robust, secure packaging to ensure it reaches you securely. Nº de ref. de la librería NU-ING-00707558

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Guzman, Alberto
Editorial: Birkhäuser (2002)
ISBN 10: 0817642730 ISBN 13: 9780817642730
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Descripción Birkhäuser, 2002. Paperback. Estado de conservación: New. book. Nº de ref. de la librería 0817642730

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