9781461268796-1461268796-Mathematical Analysis: An Introduction (Undergraduate Texts in Mathematics)

Mathematical Analysis: An Introduction (Undergraduate Texts in Mathematics)

ISBN-13: 9781461268796
ISBN-10: 1461268796
Edition: Softcover reprint of the original 1st ed. 1996
Author: Browder, Andrew
Publication date: 2012
Publisher: Springer
Format: Paperback 349 pages
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Book details

ISBN-13: 9781461268796
ISBN-10: 1461268796
Edition: Softcover reprint of the original 1st ed. 1996
Author: Browder, Andrew
Publication date: 2012
Publisher: Springer
Format: Paperback 349 pages

Summary

Acknowledged authors Browder, Andrew wrote Mathematical Analysis: An Introduction (Undergraduate Texts in Mathematics) comprising 349 pages back in 2012. Textbook and eTextbook are published under ISBN 1461268796 and 9781461268796. Since then Mathematical Analysis: An Introduction (Undergraduate Texts in Mathematics) textbook was available to sell back to BooksRun online for the top buyback price or rent at the marketplace.

Description

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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