Real Mathematical Analysis - Couverture souple

Livre 143 sur 168: Undergraduate Texts in Mathematics

Pugh, Charles Chapman

9783319330426: Real Mathematical Analysis

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ISBN 10 : 331933042X ISBN 13 : 9783319330426

Editeur : Springer, 2016

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Elucidates abstract concepts and salient points in proofs with over 150 detailed illustrations

Treats the rigorous foundations of both single and multivariable Calculus

Gives an intuitive presentation of Lebesgue integration using the undergraph approach of Burkill

Includes over 500 exercises that are interesting and thought-provoking, not merely routine

Les informations fournies dans la section � Synopsis � peuvent faire r�f�rence � une autre �dition de ce titre.

� propos de l?auteur

Charles C. Pugh is Professor Emeritus at the University of California, Berkeley. His research interests include geometry and topology, dynamical systems, and normal hyperbolicity.

Les informations fournies dans la section � A propos du livre � peuvent faire r�f�rence � une autre �dition de ce titre.

�diteur: Springer
Date d'�dition: 2016
Langue: anglais
ISBN 10: 331933042X
ISBN 13: 9783319330426
Reliure: Broch�
Nombre de pages: 492
Coordonn�es du fabricant: ProductSafety@springernature.com
ProductSafety@springernature.com

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Real Mathematical Analysis (Undergraduate Texts in Mathematics)

Pugh, Charles Chapman

Edit� par Springer, 2016

ISBN 10 : 331933042X ISBN 13 : 9783319330426

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Real Mathematical Analysis (Undergraduate Texts in Mathematics)

Pugh, Charles Chapman

Edit� par Springer, 2016

ISBN 10 : 331933042X ISBN 13 : 9783319330426

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paperback. Etat : Good. Ships in a BOX from Central Missouri! May not include working access code. Will not include dust jacket. Has used sticker(s) and some writing or highlighting. UPS shipping for most packages, (Priority Mail for AK/HI/APO/PO Boxes). Softcover reprint of the original 2nd ed. 2015. N� de r�f. du vendeur 002095554U

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Real Mathematical Analysis (Undergraduate Texts in Mathematics)

Pugh, Charles Chapman

Edit� par Springer, 2016

ISBN 10 : 331933042X ISBN 13 : 9783319330426

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Based on an honors course taught by the author at UC Berkeley, this introduction to undergraduate real analysis gives a different emphasis by stressing the importance of pictures and hard problems. Topics include: a natural construction of the real numbers, four-dimensional visualization, basic point-set topology, function spaces, multivariable calculus via differential forms (leading to a simple proof of the Brouwer Fixed Point Theorem), and a pictorial treatment of Lebesgue theory. Over 150 detailed illustrations elucidate abstract concepts and salient points in proofs. The exposition is informal and relaxed, with many helpful asides, examples, some jokes, and occasional comments from mathematicians, such as Littlewood, Dieudonn�, and Osserman. This book thus succeeds in being more comprehensive, more comprehensible, and more enjoyable, than standard introductions to analysis. New to the second edition of Real Mathematical Analysis is a presentation of Lebesgue integration done almost entirely using the undergraph approach of Burkill. Payoffs include: concise picture proofs of the Monotone and Dominated Convergence Theorems, a one-line/one-picture proof of Fubini's theorem from Cavalieri's Principle, and, in many cases, the ability to see an integral result from measure theory. The presentation includes Vitali's Covering Lemma, density points ? which are rarely treated in books at this level ? and the almost everywhere differentiability of monotone functions. Several new exercises now join a collection of over 500 exercises that pose interesting challenges and introduce special topics to the student keen on mastering this beautiful subject. N� de r�f. du vendeur ABE-1775680260564

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Real Mathematical Analysis (eng)

Pugh, Charles Chapman

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ISBN 10 : 331933042X ISBN 13 : 9783319330426

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Real Mathematical Analysis

Pugh, Charles C.

Edit� par Springer, 2016

ISBN 10 : 331933042X ISBN 13 : 9783319330426

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Real Mathematical Analysis (Paperback or Softback)

Pugh, Charles C.

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Paperback or Softback. Etat : New. Real Mathematical Analysis. Book. N� de r�f. du vendeur BBS-9783319330426

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Real Mathematical Analysis

Pugh, Charles C.

Edit� par Springer, 2016

ISBN 10 : 331933042X ISBN 13 : 9783319330426

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Real Mathematical Analysis (Undergraduate Texts in Mathematics)

Pugh, Charles Chapman

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Real Mathematical Analysis

Pugh, Charles C.

Edit� par Springer, 2016

ISBN 10 : 331933042X ISBN 13 : 9783319330426

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Real Mathematical Analysis

Charles Chapman Pugh

Edit� par Springer International Publishing, Springer Nature Switzerland Okt 2016, 2016

ISBN 10 : 331933042X ISBN 13 : 9783319330426

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Taschenbuch. Etat : Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -Based on an honors course taught by the author at UC Berkeley, this introduction to undergraduate real analysis gives a different emphasis by stressing the importance of pictures and hard problems. Topics include: a natural construction of the real numbers, four-dimensional visualization, basic point-set topology, function spaces, multivariable calculus via differential forms (leading to a simple proof of the Brouwer Fixed Point Theorem), and a pictorial treatment of Lebesgue theory. Over 150 detailed illustrations elucidate abstract concepts and salient points in proofs. The exposition is informal and relaxed, with many helpful asides, examples, some jokes, and occasional comments from mathematicians, such as Littlewood, Dieudonn�, and Osserman. This book thus succeeds in being more comprehensive, more comprehensible, and more enjoyable, than standard introductions to analysis.New to the second edition of Real Mathematical Analysis is a presentation of Lebesgue integration done almost entirely using the undergraph approach of Burkill. Payoffs include: concise picture proofs of the Monotone and Dominated Convergence Theorems, a one-line/one-picture proof of Fubini's theorem from Cavalieri's Principle, and, in many cases, the ability to see an integral result from measure theory. The presentation includes Vitali's Covering Lemma, density points - which are rarely treated in books at this level - and the almost everywhere differentiability of monotone functions. Several new exercises now join a collection of over 500 exercises that pose interesting challenges and introduce special topics to the student keen on mastering this beautiful subject. 492 pp. Englisch. N� de r�f. du vendeur 9783319330426

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