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Sinopsis
Among the traditional purposes of such an introductory course is the training of a student in the conventions of pure mathematics: acquiring a feeling for what is considered a proof, and supplying literate written arguments to support mathematical propositions. To this extent, more than one proof is included for a theorem - where this is considered beneficial - so as to stimulate the students' reasoning for alternate approaches and ideas.
The second half of this book, and consequently the second semester, covers differentiation and integration, as well as the connection between these concepts, as displayed in the general theorem of Stokes. Also included are some beautiful applications of this theory, such as Brouwer's fixed point theorem, and the Dirichlet principle for harmonic functions. Throughout, reference is made to earlier sections, so as to reinforce the main ideas by repetition. Unique in its applications to some topics not usually covered at this level.
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Mathematical Analysis: An Introduction is a textbook containing more than enough material for a year-long course in analysis at the advanced undergraduate or beginning graduate level. The book begins with a brief discussion of sets and mappings, describes the real number field, and proceeds to a treatment of real-valued functions of a real variable. Separate chapters are devoted to the ideas of convergent sequences and series, continuous functions, differentiation, and the Riemann integral. The middle chapters cover general topology and a miscellany of applications: the Weierstrass and Stone-Weierstrass approximation theorems, the existence of geodesics in compact metric spaces, elements of Fourier analysis, and the Weyl equidistribution theorem. Next comes a discussion of differentiation of vector-valued functions of several real variables, followed by a brief treatment of measure and integration (in a general setting, but with emphasis on Lebesgue theory in Euclidean space). The final part of the book deals with manifolds, differential forms, and Stokes' theorem, which is applied to prove Brouwer's fixed point theorem and to derive the basic properties of harmonic functions, such as the Dirichlet principle.
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Mathematical Analysis : An Introduction
Publicado por
Springer New York, 1995
ISBN 10: 0387946144
ISBN 13: 9780387946146
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Librería: Better World Books Ltd, Dunfermline, Reino Unido
Calificación del vendedor: 5 de 5 estrellas
Condición: Good. Ships from the UK. Former library book; may include library markings. Used book that is in clean, average condition without any missing pages. Nº de ref. del artículo: 7740826-6
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Mathematical Analysis : An Introduction
Publicado por
Springer New York, 1995
ISBN 10: 0387946144
ISBN 13: 9780387946146
Antiguo o usado
Tapa dura
Librería: Better World Books Ltd, Dunfermline, Reino Unido
Calificación del vendedor: 5 de 5 estrellas
Condición: Very Good. Ships from the UK. Former library book; may include library markings. Used book that is in excellent condition. May show signs of wear or have minor defects. Nº de ref. del artículo: GRP90520676
Cantidad disponible: 1 disponibles
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Mathematical Analysis: An Introduction (Undergraduate Texts in Mathematics)
Librería: WorldofBooks, Goring-By-Sea, WS, Reino Unido
Calificación del vendedor: 5 de 5 estrellas
Hardback. Condición: Very Good. The book has been read, but is in excellent condition. Pages are intact and not marred by notes or highlighting. The spine remains undamaged. Nº de ref. del artículo: GOR012224318
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Mathematical Analysis: An Introduction Browder, Andrew
Librería: Librairie Parrêsia, Figeac, Francia
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Hardcover. Condición: Used: Very Good. Mathematical Analysis: An Introduction |A. Browder| ATTENTION, EDITION DE 1996. Springer, 1996. In-8° cartonné, 333p. Couverture propre. Dos solide. Intérieur frais sans soulignage ou annotation. Exemplaire de bibliothèque : petit code barre en pied de 1re de couv., cotation au dos, rares et discrets petits tampons à l'intérieur de l'ouvrage. Très bon état général pour cet ouvrage. [BA29]. Nº de ref. del artículo: 0320UXF51FH
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Mathematical Analysis : An Introduction
Publicado por
Springer New York, 1995
ISBN 10: 0387946144
ISBN 13: 9780387946146
Antiguo o usado
Tapa dura
Librería: Better World Books, Mishawaka, IN, Estados Unidos de America
Calificación del vendedor: 5 de 5 estrellas
Condición: Good. Former library book; may include library markings. Used book that is in clean, average condition without any missing pages. Nº de ref. del artículo: 7740826-6
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Mathematical Analysis: An Introduction (Undergraduate Texts in Mathematics)
Librería: Roland Antiquariat UG haftungsbeschränkt, Weinheim, Alemania
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1st ed. 1996. 349 p. Unread book. Very good condition. Minimum traces of storage. 9780387946146 Sprache: Englisch Gewicht in Gramm: 635 Hardcover: 15.6 x 2.2 x 23.4 cm. Nº de ref. del artículo: 203443
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Mathematical Analysis
Publicado por
Springer New York Dez 1995, 1995
ISBN 10: 0387946144
ISBN 13: 9780387946146
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Librería: BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, Alemania
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Buch. Condición: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -Among the traditional purposes of such an introductory course is the training of a student in the conventions of pure mathematics: acquiring a feeling for what is considered a proof, and supplying literate written arguments to support mathematical propositions. To this extent, more than one proof is included for a theorem - where this is considered beneficial - so as to stimulate the students' reasoning for alternate approaches and ideas. The second half of this book, and consequently the second semester, covers differentiation and integration, as well as the connection between these concepts, as displayed in the general theorem of Stokes. Also included are some beautiful applications of this theory, such as Brouwer's fixed point theorem, and the Dirichlet principle for harmonic functions. Throughout, reference is made to earlier sections, so as to reinforce the main ideas by repetition. Unique in its applications to some topics not usually covered at this level. 354 pp. Englisch. Nº de ref. del artículo: 9780387946146
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Mathematical Analysis: An Introduction (Undergraduate Texts in Mathematics)
Librería: Ria Christie Collections, Uxbridge, Reino Unido
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Condición: New. In. Nº de ref. del artículo: ria9780387946146_new
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Mathematical Analysis
Impresión bajo demandaLibrería: moluna, Greven, Alemania
Calificación del vendedor: 5 de 5 estrellas
Condición: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Among the traditional purposes of such an introductory course is the training of a student in the conventions of pure mathematics: acquiring a feeling for what is considered a proof, and supplying literate written arguments to support mathematical propositi. Nº de ref. del artículo: 5912099
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Mathematical Analysis : An Introduction
Publicado por
Springer New York, Springer US, 1995
ISBN 10: 0387946144
ISBN 13: 9780387946146
Nuevo
Tapa dura
Librería: AHA-BUCH GmbH, Einbeck, Alemania
Calificación del vendedor: 5 de 5 estrellas
Buch. Condición: Neu. Druck auf Anfrage Neuware - Printed after ordering - This is a textbook suitable for a year-long course in analysis at the ad vanced undergraduate or possibly beginning-graduate level. It is intended for students with a strong background in calculus and linear algebra, and a strong motivation to learn mathematics for its own sake. At this stage of their education, such students are generally given a course in abstract algebra, and a course in analysis, which give the fundamentals of these two areas, as mathematicians today conceive them. Mathematics is now a subject splintered into many specialties and sub specialties, but most of it can be placed roughly into three categories: al gebra, geometry, and analysis. In fact, almost all mathematics done today is a mixture of algebra, geometry and analysis, and some of the most in teresting results are obtained by the application of analysis to algebra, say, or geometry to analysis, in a fresh and surprising way. What then do these categories signify Algebra is the mathematics that arises from the ancient experiences of addition and multiplication of whole numbers; it deals with the finite and discrete. Geometry is the mathematics that grows out of spatial experience; it is concerned with shape and form, and with measur ing, where algebra deals with counting. Nº de ref. del artículo: 9780387946146
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