Real Mathematical Analysis

Front Cover
Springer, Mar 1, 2002 - Mathematics - 437 pages
3 Reviews
Was plane geometry your favourite math course in high school? Did you like proving theorems? Are you sick of memorising integrals? If so, real analysis could be your cup of tea. In contrast to calculus and elementary algebra, it involves neither formula manipulation nor applications to other fields of science. None. It is Pure Mathematics, and it is sure to appeal to the budding pure mathematician. In this new introduction to undergraduate real analysis the author takes a different approach from past studies of the subject, by stressing the importance of pictures in mathematics and hard problems. The exposition is informal and relaxed, with many helpful asides, examples and occasional comments from mathematicians like Dieudonne, Littlewood and Osserman. The author has taught the subject many times over the last 35 years at Berkeley and this book is based on the honours version of this course. The book contains an excellent selection of more than 500 exercises.
  

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Great introductory book, especially for people who wish to self-study Real Analysis. Note that for any high school students who wish to self-study from this book should have a strong background in Mathematics. General understanding of the Propositional Calculus (a.k.a. Mathematical Logic) and Set Theory will help in the beginning, but once you get through the first chapter, the rest of the book slowly becomes accessible.  

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Contents

I
1
II
10
III
21
IV
28
V
34
VI
36
VII
40
VIII
51
XXXII
290
XXXIII
296
XXXIV
300
XXXV
313
XXXVI
325
XXXVII
334
XXXVIII
337
XXXIX
338

IX
76
X
82
XI
88
XII
95
XIII
99
XIV
108
XV
139
XVI
154
XVII
179
XVIII
186
XIX
201
XX
211
XXI
213
XXII
217
XXIII
228
XXIV
235
XXV
240
XXVI
248
XXVII
267
XXVIII
271
XXIX
279
XXX
284
XXXI
286
XL
339
XLI
340
XLII
342
XLIII
345
XLIV
363
XLV
367
XLVI
371
XLVII
376
XLVIII
383
XLIX
387
L
391
LI
396
LII
401
LIII
407
LIV
409
LVI
411
LVII
412
LVIII
413
LIX
414
LX
415
LXI
417
LXII
431
Copyright

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Textbooks for Real Analysis Text - Physics Forums Library
Real Mathematical Analysis, Pugh - I haven't read through a lot of this one, just a few sections (Cantor Lore is fantastic). Although I have to say I don't ...
www.physicsforums.com/ archive/ index.php/ t-191661.html

Fall 2005 Textbooks - UC Berkeley Mathematics
Pugh "Real Mathematical Analysis" (1st ed., 2002). Springer. Rudin "Principles of Mathematical Analysis" (3rd ed., 1976) (Optional). mcgraw-Hill ...
math.berkeley.edu/ courses_fall2005_textbooks.html

Allaire,
Real Mathematical Analysis. 2002. Approx. 455 pp. 133 figs. Hardcover 0-387-95297-7 ... Keywords: Real Analysis, Real Mathematical Analysis ...
www.yurinsha.com/ 339/ p12.htm

Real Mathematical Analysis - Boek - BESLIST.nl
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mathlinks :: View topic - cantor set problem
Hodge Conjecture Hodge Conjecture Offline Joined: 07 Aug 2007 Posts: 65. #1. cantor set problem from cc Pugh, Real Mathematical Analysis ...
www.mathlinks.ro/ viewtopic.php?p=1091012

Math 442
Textbook: Real Mathematical Analysis, by Charles Pugh Instructor: Michal Misiurewicz Office: LD 224F Phone: 274-8101 E-mail: mmisiure@math.iupui.edu ...
www.math.iupui.edu/ ~mmisiure/ students/ 442_s07.html

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(In many ways,while we're on the subject-I feel Charles Chapman Pugh's REAL MATHEMATICAL ANALYSIS has made Rudin obsolete.Pugh's book is just as challenging ...
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INGENIERIA CIVIL
2781 Real Analysis. ROYDEN. 0024041513. 2782 Real Mathematical Analysis. CHAPMAN. 0387952977. 2783 Real Mathematical Analysis. CHAPMAN PUGH. 0387952977 ...
biblioteca.manizales.unal.edu.co/ modules/ uncatalogos/ archivos/ nuevas_adquisiciones.pdf

Lehrstuhl A für Mathematik, RWTH Aachen - Proseminar zur Analysis ...
6, Existenz einer raumfüllenden Kurve, Pugh: Real Mathematical Analysis, 2.6 (bis einschließlich Thm. 68, + Thm. 37 mit Beweis), Klewinghaus, 02.06.2008, - ...
www.matha.rwth-aachen.de/ de/ lehre/ ss08/ psana/

Principles of Mathematical Analysis, Third Edition : Walter Rudin ...
Real Mathematical Analysis Author: Charles Chapman Pugh Manufacturer: Springer Similar Products (5+) · Real and Complex Analysis (Higher Mathematics Series) ...
www.imo2005.org/ us/ 909/ 007054235X/ Principles_of_Mathematical_Analysis_Third_Edition/

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