ISBN: 9783319177700
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… Mehr…
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ISBN: 9783319177700
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… Mehr…
Pugh, Charles Chapman:
Real Mathematical Analysis (Undergraduate Texts in Mathematics) - gebunden oder broschiert2015, ISBN: 3319177702
[EAN: 9783319177700], Gebraucht, [PU: Springer], Buy with confidence! Book is in acceptable condition with wear to the pages, binding, and some marks within, Books
Real Mathematical Analysis (Undergraduate Texts in Mathematics) by Pugh, Charles Chapman [Hardcover ] - gebunden oder broschiert
2017
ISBN: 3319177702
[EAN: 9783319177700], Neubuch, [PU: Springer], Books
2015, ISBN: 9783319177700
Springer, 2015-08-07. 2nd ed. 2015. hardcover. Used:Good., Springer, 2015-08-07, 0
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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, Dieudonné, 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 beautif
Detailangaben zum Buch - Real Mathematical Analysis (Undergraduate Texts in Mathematics)
EAN (ISBN-13): 9783319177700
ISBN (ISBN-10): 3319177702
Gebundene Ausgabe
Taschenbuch
Erscheinungsjahr: 1
Herausgeber: Springer
Buch in der Datenbank seit 2015-09-08T20:14:44+02:00 (Berlin)
Detailseite zuletzt geändert am 2024-05-15T15:39:15+02:00 (Berlin)
ISBN/EAN: 9783319177700
ISBN - alternative Schreibweisen:
3-319-17770-2, 978-3-319-17770-0
Alternative Schreibweisen und verwandte Suchbegriffe:
Autor des Buches: charles, chapman, pugh, pug, littlewood
Titel des Buches: mathematica, undergraduate text, mathe, anal, real book, undergraduate mathematical mathematics analysis texts real
Daten vom Verlag:
Autor/in: Charles Chapman Pugh
Titel: Undergraduate Texts in Mathematics; Real Mathematical Analysis
Verlag: Springer; Springer International Publishing
478 Seiten
Erscheinungsjahr: 2015-08-07
Cham; CH
Gedruckt / Hergestellt in Niederlande.
Sprache: Englisch
48,14 € (DE)
49,49 € (AT)
51,10 CHF (CH)
POD
XI, 478 p. 1 illus. in color.
BB; Hardcover, Softcover / Mathematik/Analysis; Integralrechnung und -gleichungen; Verstehen; Brouwer fixed point theorem; Lebesgue integral; Riemann integral; calculus; mathematical analysis; multivariable calculus; nowhere differentiable continuous function; point-set topology; real analysis; real numbers; uniform convergence; Measure and Integration; Real Functions; Sequences, Series, Summability; Reelle Analysis, Real-Variablen; Mathematische Analysis, allgemein; BC; EA; BC
Real Numbers.- A Taste of Topology.- Functions of a Real Variable.- Function Spaces.- Multivariable Calculus.- Lebesgue Theory.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
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