# Mathematical Analysis: An Introduction (Undergraduate Texts in Mathematics)

## Browder, Andrew

3,75 valoración promedio
( 4 valoraciones por GoodReads )

Review:

This is a very good textbook presenting a modern course in analysis both at the advanced undergraduate and at the beginning graduate level. It contains 14 chapters, a bibliography, and an index. At the end of each chapter interesting exercises and historical notes are enclosed.\par From the cover: ``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 (of a real-valued function defined on a compact interval). 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 spaces). The final part of the book deals with manifolds, differential forms, and Stokes' theorem [in the spirit of M. Spivak's: ``Calculus on manifolds'' (1965; Zbl 141.05403)] which is applied to prove Brouwer's fixed point theorem and to derive the basic properties of harmonic functions, such as the Dirichlet principle''. ZENTRALBLATT MATH

A. Browder

Mathematical Analysis

An Introduction

"Everything needed is clearly defined and formulated, and there is a reasonable number of examples…. Anyone teaching a year course at this level to should seriously consider this carefully written book. In the reviewer's opinion, it would be a real pleasure to use this text with such a class."—MATHEMATICAL REVIEWS

From the Publisher:

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.

"Sobre este título" puede pertenecer a otra edición de este libro.

Comprar nuevo Ver libro
EUR 19,53

Gastos de envío: EUR 3,20

Destinos, gastos y plazos de envío

## 1.Mathematical Analysis: An Introduction (Undergraduate Texts in Mathematics)

Editorial: Springer (1995)
ISBN 10: 0387946144 ISBN 13: 9780387946146
Librería
Zubal-Books
(Cleveland, OH, Estados Unidos de America)
Valoración

Descripción Springer, 1995. Estado de conservación: New. 356 pp., Hardcover, new. Nº de ref. de la librería ZB1037180

Comprar nuevo
EUR 19,53
Convertir moneda
Gastos de envío: EUR 3,20
Destinos, gastos y plazos de envío
Edición internacional

## 2.Mathematical Analysis: An Introduction (Undergraduate Texts in Mathematics)

ISBN 10: 0387946144 ISBN 13: 9780387946146
Edición internacional
Librería
Nick Book House
(fresno, CA, Estados Unidos de America)
Valoración

Descripción Paperback. Estado de conservación: New. New Softcover International Edition, Printed in Black and White, Different ISBN, Same Content As US edition, Book Cover may be Different, in English Language. Nº de ref. de la librería 16841

Comprar nuevo
EUR 20,95
Convertir moneda
Gastos de envío: EUR 3,65
Destinos, gastos y plazos de envío

## 3.Mathematical Analysis: An Introduction (Undergraduate Texts in Mathematics)

Editorial: Springer
ISBN 10: 0387946144 ISBN 13: 9780387946146
Librería
Textbook Bookie
Valoración

Descripción Springer. Estado de conservación: New. Brand New! Corrected Ships fast! Expedited shipping 2-4 business days; Standard shipping 7-14 business days. Ships from USA!. Nº de ref. de la librería BER-007-140

Comprar nuevo
EUR 24,48
Convertir moneda
Gastos de envío: EUR 3,89
Destinos, gastos y plazos de envío

## 4.Mathematical Analysis: An Introduction (Undergraduate Texts in Mathematics)

Editorial: Springer (2001)
ISBN 10: 0387946144 ISBN 13: 9780387946146
Librería
Book Deals
(Lewiston, NY, Estados Unidos de America)
Valoración

Descripción Springer, 2001. Estado de conservación: New. Brand New, Unread Copy in Perfect Condition. A+ Customer Service! Summary: 1 Real Functions 2 Sequences and Series 3 Continuous Functions on Intervals 4 Differentiation 5 The Riemann Integral 6 Topology 7 Function Spaces 8 Differentiable Maps 9 Measures 10 Integration 11 Manifolds 12 Multilinear Algebra 13 Differential Forms 14 Integration on Manifolds. Nº de ref. de la librería ABE_book_new_0387946144

Comprar nuevo
EUR 28,47
Convertir moneda
Gastos de envío: GRATIS
Destinos, gastos y plazos de envío

## 5.Mathematical Analysis: An Introduction (Undergraduate Texts in Mathematics)

Editorial: Springer (2001)
ISBN 10: 0387946144 ISBN 13: 9780387946146
Librería
Irish Booksellers
(Rumford, ME, Estados Unidos de America)
Valoración

Descripción Springer, 2001. Hardcover. Estado de conservación: New. book. Nº de ref. de la librería 0387946144

Comprar nuevo
EUR 32,24
Convertir moneda
Gastos de envío: GRATIS
Destinos, gastos y plazos de envío

## 6.Mathematical Analysis: An Introduction (Undergraduate Texts in Mathematics)

Editorial: Springer (1995)
ISBN 10: 0387946144 ISBN 13: 9780387946146
Impresión bajo demanda
Librería
Ergodebooks
(RICHMOND, TX, Estados Unidos de America)
Valoración

Descripción Springer, 1995. Hardcover. Estado de conservación: New. Corrected. This item is printed on demand. Nº de ref. de la librería DADAX0387946144

Comprar nuevo
EUR 34,42
Convertir moneda
Gastos de envío: EUR 3,65
Destinos, gastos y plazos de envío

## 7.Mathematical Analysis: An Introduction (Undergraduate Texts in Mathematics)

Editorial: Springer 1995-12-15 (1995)
ISBN 10: 0387946144 ISBN 13: 9780387946146
Librería
Lost Books
(AUSTIN, TX, Estados Unidos de America)
Valoración

Descripción Springer 1995-12-15, 1995. Hardcover. Estado de conservación: New. Corrected. 0387946144. Nº de ref. de la librería 522223

Comprar nuevo
EUR 41,02
Convertir moneda
Gastos de envío: EUR 3,65
Destinos, gastos y plazos de envío

## 8.Mathematical Analysis: An Introduction (Undergraduate Texts in Mathematics)

Editorial: Springer (2001)
ISBN 10: 0387946144 ISBN 13: 9780387946146
Librería
Light House
(Hayward, CA, Estados Unidos de America)
Valoración

Descripción Springer, 2001. Hardcover. Estado de conservación: New. Nº de ref. de la librería B24S4-62

Comprar nuevo
EUR 43,76
Convertir moneda
Gastos de envío: EUR 3,25
Destinos, gastos y plazos de envío

## 9.Mathematical Analysis: An Introduction (Undergraduate Texts in Mathematics)

Editorial: Springer (2001)
ISBN 10: 0387946144 ISBN 13: 9780387946146
Librería
English-Book-Service Mannheim
(Mannheim, Alemania)
Valoración

Descripción Springer, 2001. Estado de conservación: New. Nº de ref. de la librería UA9780387946146

Comprar nuevo
EUR 53,45
Convertir moneda
Gastos de envío: EUR 4,00
De Alemania a Estados Unidos de America
Destinos, gastos y plazos de envío

## 10.Mathematical Analysis: An Introduction

Editorial: Springer Verlag (1996)
ISBN 10: 0387946144 ISBN 13: 9780387946146
Librería
Revaluation Books
(Exeter, Reino Unido)
Valoración

Descripción Springer Verlag, 1996. Hardcover. Estado de conservación: Brand New. 1st ed. 1996. corr. 3rd printing edition. 333 pages. 9.75x6.50x1.00 inches. In Stock. Nº de ref. de la librería __0387946144

Comprar nuevo
EUR 51,97
Convertir moneda
Gastos de envío: EUR 6,73
De Reino Unido a Estados Unidos de America
Destinos, gastos y plazos de envío