- published: 19 May 2010
- views: 83570
- author: HarveyMuddCollegeEDU
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http://wn.com/9_2_Lecture_10A_Real_Analysis_I_2726
Real Analysis, Lecture 1: Constructing the Rational Numbers
- Order: Reorder
- Duration: 62:06
- Updated: 18 Aug 2013
Real Analysis, Spring 2010, Harvey Mudd College, Professor Francis Su. Playlist, FAQ, writing handout, notes available at: http://analysisyawp.blogspot.com/
http://wn.com/Real_Analysis,_Lecture_1_Constructing_the_Rational_Numbers
Real Analysis, Spring 2010, Harvey Mudd College, Professor Francis Su. Playlist, FAQ, writing handout, notes available at: http://analysisyawp.blogspot.com/
RA1.1. Real Analysis: Introduction
- Order: Reorder
- Duration: 10:42
- Updated: 04 Aug 2013
Real Analysis: We introduce some notions important to real analysis, in particular, the relationship between the rational and real numbers. Prerequisites may...
http://wn.com/RA11_Real_Analysis_Introduction
Real Analysis: We introduce some notions important to real analysis, in particular, the relationship between the rational and real numbers. Prerequisites may...
- published: 10 Jun 2013
- views: 867
- author: MathDoctorBob
Real Analysis, Lecture 11: Compact Sets
- Order: Reorder
- Duration: 70:54
- Updated: 13 Aug 2013
Real Analysis, Spring 2010, Harvey Mudd College, Professor Francis Su. Playlist, FAQ, writing handout, notes available at: http://analysisyawp.blogspot.com/
http://wn.com/Real_Analysis,_Lecture_11_Compact_Sets
Real Analysis, Spring 2010, Harvey Mudd College, Professor Francis Su. Playlist, FAQ, writing handout, notes available at: http://analysisyawp.blogspot.com/
- published: 23 May 2010
- views: 21635
- author: HarveyMuddCollegeEDU
Real Analysis, Lecture 2: Properties of Q
- Order: Reorder
- Duration: 67:38
- Updated: 15 Aug 2013
Real Analysis, Spring 2010, Harvey Mudd College, Professor Francis Su. Playlist, FAQ, writing handout, notes available at: http://analysisyawp.blogspot.com/
http://wn.com/Real_Analysis,_Lecture_2_Properties_of_Q
Real Analysis, Spring 2010, Harvey Mudd College, Professor Francis Su. Playlist, FAQ, writing handout, notes available at: http://analysisyawp.blogspot.com/
- published: 19 May 2010
- views: 26221
- author: HarveyMuddCollegeEDU
Real Analysis, Lecture 10: The Relationship Between Open and Closed Sets
- Order: Reorder
- Duration: 73:01
- Updated: 09 Aug 2013
Real Analysis, Spring 2010, Harvey Mudd College, Professor Francis Su. Playlist, FAQ, writing handout, notes available at: http://analysisyawp.blogspot.com/
http://wn.com/Real_Analysis,_Lecture_10_The_Relationship_Between_Open_and_Closed_Sets
Real Analysis, Spring 2010, Harvey Mudd College, Professor Francis Su. Playlist, FAQ, writing handout, notes available at: http://analysisyawp.blogspot.com/
- published: 23 May 2010
- views: 11609
- author: HarveyMuddCollegeEDU
Real Analysis, Lecture 4: The Least Upper Bound Property
- Order: Reorder
- Duration: 72:04
- Updated: 01 Aug 2013
Real Analysis, Spring 2010, Harvey Mudd College, Professor Francis Su. Playlist, FAQ, writing handout, notes available at: http://analysisyawp.blogspot.com/
http://wn.com/Real_Analysis,_Lecture_4_The_Least_Upper_Bound_Property
Real Analysis, Spring 2010, Harvey Mudd College, Professor Francis Su. Playlist, FAQ, writing handout, notes available at: http://analysisyawp.blogspot.com/
- published: 20 May 2010
- views: 20180
- author: HarveyMuddCollegeEDU
Real Analysis, Lecture 3: Construction of the Reals
- Order: Reorder
- Duration: 75:29
- Updated: 15 Aug 2013
Real Analysis, Spring 2010, Harvey Mudd College, Professor Francis Su. Playlist, FAQ, writing handout, notes available at: http://analysisyawp.blogspot.com/
http://wn.com/Real_Analysis,_Lecture_3_Construction_of_the_Reals
Real Analysis, Spring 2010, Harvey Mudd College, Professor Francis Su. Playlist, FAQ, writing handout, notes available at: http://analysisyawp.blogspot.com/
- published: 20 May 2010
- views: 23670
- author: HarveyMuddCollegeEDU
Real Analysis, Lecture 16: Subsequences, Cauchy Sequences
- Order: Reorder
- Duration: 68:01
- Updated: 08 Jul 2013
Real Analysis, Spring 2010, Harvey Mudd College, Professor Francis Su. Playlist, FAQ, writing handout, notes available at: http://analysisyawp.blogspot.com/
http://wn.com/Real_Analysis,_Lecture_16_Subsequences,_Cauchy_Sequences
Real Analysis, Spring 2010, Harvey Mudd College, Professor Francis Su. Playlist, FAQ, writing handout, notes available at: http://analysisyawp.blogspot.com/
- published: 23 May 2010
- views: 14799
- author: HarveyMuddCollegeEDU
Real Analysis, Lecture 24: The Derivative and the Mean Value Theorem
- Order: Reorder
- Duration: 65:22
- Updated: 24 Apr 2013
Real Analysis, Spring 2010, Harvey Mudd College, Professor Francis Su. Playlist, FAQ, writing handout, notes available at: http://analysisyawp.blogspot.com/
http://wn.com/Real_Analysis,_Lecture_24_The_Derivative_and_the_Mean_Value_Theorem
Real Analysis, Spring 2010, Harvey Mudd College, Professor Francis Su. Playlist, FAQ, writing handout, notes available at: http://analysisyawp.blogspot.com/
- published: 24 May 2010
- views: 8849
- author: HarveyMuddCollegeEDU
Real Analysis, Lecture 7: Countable and Uncountable Sets
- Order: Reorder
- Duration: 73:16
- Updated: 07 Aug 2013
Real Analysis, Spring 2010, Harvey Mudd College, Professor Francis Su. Playlist, FAQ, writing handout, notes available at: http://analysisyawp.blogspot.com/
http://wn.com/Real_Analysis,_Lecture_7_Countable_and_Uncountable_Sets
Real Analysis, Spring 2010, Harvey Mudd College, Professor Francis Su. Playlist, FAQ, writing handout, notes available at: http://analysisyawp.blogspot.com/
- published: 21 May 2010
- views: 14286
- author: HarveyMuddCollegeEDU
Real Analysis, Lecture 20: Functions - Limits and Continuity
- Order: Reorder
- Duration: 64:26
- Updated: 06 Jun 2013
Real Analysis, Spring 2010, Harvey Mudd College, Professor Francis Su. Playlist, FAQ, writing handout, notes available at: http://analysisyawp.blogspot.com/
http://wn.com/Real_Analysis,_Lecture_20_Functions_Limits_and_Continuity
Real Analysis, Spring 2010, Harvey Mudd College, Professor Francis Su. Playlist, FAQ, writing handout, notes available at: http://analysisyawp.blogspot.com/
- published: 24 May 2010
- views: 16218
- author: HarveyMuddCollegeEDU
Real Analysis, Lecture 22: Uniform Continuity
- Order: Reorder
- Duration: 70:22
- Updated: 01 Aug 2013
Real Analysis, Spring 2010, Harvey Mudd College, Professor Francis Su. Playlist, FAQ, writing handout, notes available at: http://analysisyawp.blogspot.com/
http://wn.com/Real_Analysis,_Lecture_22_Uniform_Continuity
Real Analysis, Spring 2010, Harvey Mudd College, Professor Francis Su. Playlist, FAQ, writing handout, notes available at: http://analysisyawp.blogspot.com/
- published: 24 May 2010
- views: 9393
- author: HarveyMuddCollegeEDU
Real Analysis, Lecture 13: Compactness and the Heine-Borel Theorem
- Order: Reorder
- Duration: 69:29
- Updated: 07 Jul 2013
Real Analysis, Spring 2010, Harvey Mudd College, Professor Francis Su. Playlist, FAQ, writing handout, notes available at: http://analysisyawp.blogspot.com/
http://wn.com/Real_Analysis,_Lecture_13_Compactness_and_the_Heine-Borel_Theorem
Real Analysis, Spring 2010, Harvey Mudd College, Professor Francis Su. Playlist, FAQ, writing handout, notes available at: http://analysisyawp.blogspot.com/
- published: 23 May 2010
- views: 12775
- author: HarveyMuddCollegeEDU
Mod-01 Lec-01 Introduction
- Order: Reorder
- Duration: 52:45
- Updated: 12 Aug 2013
Real Analysis by Prof. S.H. Kulkarni, Department of Mathematics, IIT Madras. For more details on NPTEL visit http://nptel.iitm.ac.in.
http://wn.com/Mod-01_Lec-01_Introduction
Real Analysis by Prof. S.H. Kulkarni, Department of Mathematics, IIT Madras. For more details on NPTEL visit http://nptel.iitm.ac.in.
- published: 18 Feb 2013
- views: 3559
- author: nptelhrd
Real Analysis, Lecture 15: Convergence of Sequences
- Order: Reorder
- Duration: 59:00
- Updated: 10 Aug 2013
Real Analysis, Spring 2010, Harvey Mudd College, Professor Francis Su. Playlist, FAQ, writing handout, notes available at: http://analysisyawp.blogspot.com/
http://wn.com/Real_Analysis,_Lecture_15_Convergence_of_Sequences
Real Analysis, Spring 2010, Harvey Mudd College, Professor Francis Su. Playlist, FAQ, writing handout, notes available at: http://analysisyawp.blogspot.com/
- published: 23 May 2010
- views: 13701
- author: HarveyMuddCollegeEDU
Real Analysis, Lecture 26: Ordinal Numbers and Transfinite Induction
- Order: Reorder
- Duration: 60:51
- Updated: 14 Aug 2013
Real Analysis, Spring 2010, Harvey Mudd College, Professor Francis Su. Playlist, FAQ, writing handout, notes available at: http://analysisyawp.blogspot.com/
http://wn.com/Real_Analysis,_Lecture_26_Ordinal_Numbers_and_Transfinite_Induction
Real Analysis, Spring 2010, Harvey Mudd College, Professor Francis Su. Playlist, FAQ, writing handout, notes available at: http://analysisyawp.blogspot.com/
- published: 25 May 2010
- views: 10401
- author: HarveyMuddCollegeEDU
Real Analysis, Lecture 20: Functions - Limits and Continuity (1/8)
- Order: Reorder
- Duration: 9:04
- Updated: 03 Jul 2013
Real Analysis, Spring 2010, Harvey Mudd College, Professor Francis Su. Get notes and study tools at http://gosuapm.com/
http://wn.com/Real_Analysis,_Lecture_20_Functions_Limits_and_Continuity_1_8
Real Analysis, Spring 2010, Harvey Mudd College, Professor Francis Su. Get notes and study tools at http://gosuapm.com/
- published: 07 Apr 2010
- views: 1218
- author: Learnstream
Real Analysis, Lecture 12: Relationship of Compact Sets to Closed Sets
- Order: Reorder
- Duration: 75:55
- Updated: 08 Aug 2013
Real Analysis, Spring 2010, Harvey Mudd College, Professor Francis Su. Playlist, FAQ, writing handout, notes available at: http://analysisyawp.blogspot.com/
http://wn.com/Real_Analysis,_Lecture_12_Relationship_of_Compact_Sets_to_Closed_Sets
Real Analysis, Spring 2010, Harvey Mudd College, Professor Francis Su. Playlist, FAQ, writing handout, notes available at: http://analysisyawp.blogspot.com/
- published: 23 May 2010
- views: 10406
- author: HarveyMuddCollegeEDU
Real Analysis, Lecture 9: Limit Points
- Order: Reorder
- Duration: 72:11
- Updated: 12 Aug 2013
Real Analysis, Spring 2010, Harvey Mudd College, Professor Francis Su. Playlist, FAQ, writing handout, notes available at: http://analysisyawp.blogspot.com/
http://wn.com/Real_Analysis,_Lecture_9_Limit_Points
Real Analysis, Spring 2010, Harvey Mudd College, Professor Francis Su. Playlist, FAQ, writing handout, notes available at: http://analysisyawp.blogspot.com/
- published: 23 May 2010
- views: 15952
- author: HarveyMuddCollegeEDU
9 2 Lecture 10A Real Analysis I 2726
- Order: Reorder
- Duration: 27:27
- Updated: 23 Feb 2013
http://wn.com/9_2_Lecture_10A_Real_Analysis_I_2726
Real Analysis, Lecture 1 (2/8)
- Order: Reorder
- Duration: 9:00
- Updated: 05 Jun 2013
Real Analysis, Spring 2010, Harvey Mudd College, Professor Francis Su. Get notes and study tools at http://gosuapm.com/
http://wn.com/Real_Analysis,_Lecture_1_2_8
Real Analysis, Spring 2010, Harvey Mudd College, Professor Francis Su. Get notes and study tools at http://gosuapm.com/
- published: 25 Jan 2010
- views: 7036
- author: Learnstream
Real Analysis, Lecture 16: Subsequences, Cauchy Sequences (1/8)
- Order: Reorder
- Duration: 9:57
- Updated: 08 Mar 2013
Real Analysis, Spring 2010, Harvey Mudd College, Professor Francis Su. Get notes and study tools at http://gosuapm.com/
http://wn.com/Real_Analysis,_Lecture_16_Subsequences,_Cauchy_Sequences_1_8
Real Analysis, Spring 2010, Harvey Mudd College, Professor Francis Su. Get notes and study tools at http://gosuapm.com/
- published: 26 Mar 2010
- views: 1467
- author: Learnstream
Real Analysis, Lecture 8: Cantor Diagonalization and Metric Spaces
- Order: Reorder
- Duration: 76:27
- Updated: 12 Aug 2013
Real Analysis, Spring 2010, Harvey Mudd College, Professor Francis Su. Playlist, FAQ, writing handout, notes available at: http://analysisyawp.blogspot.com/
http://wn.com/Real_Analysis,_Lecture_8_Cantor_Diagonalization_and_Metric_Spaces
Real Analysis, Spring 2010, Harvey Mudd College, Professor Francis Su. Playlist, FAQ, writing handout, notes available at: http://analysisyawp.blogspot.com/
- published: 21 May 2010
- views: 12374
- author: HarveyMuddCollegeEDU
Real analysis (traditionally, the theory of functions of a real variable) is a branch of mathematical analysis dealing with the set of real numbers and functions of a real variable. In particular, it deals with the analytic properties of real functions and sequences, including convergence and limits of sequences of real numbers, the calculus of the real numbers, and continuity, smoothness and related properties of real-valued functions.
Real analysis is an area of analysis that studies concepts such as sequences and their limits, continuity, differentiation, integration and sequences of functions. By definition, real analysis focuses on the real numbers, often including positive or negative infinity.
The real numbers have several important lattice-theoretic properties that are absent in the complex numbers. Most importantly, the real numbers form an ordered field, in which addition and multiplication preserve positivity. Moreover, the ordering of the real numbers is total, and the real numbers have the least upper bound property. These order-theoretic properties lead to a number of important results in real analysis, such as the monotone convergence theorem, the intermediate value theorem and the mean value theorem.
This page contains text from Wikipedia, the Free Encyclopedia -
http://en.wikipedia.org/wiki/Real_analysis
This article is licensed under the Creative Commons Attribution-ShareAlike 3.0 Unported License, which means that you can copy and modify it as long as the entire work (including additions) remains under this license.
This article is licensed under the Creative Commons Attribution-ShareAlike 3.0 Unported License, which means that you can copy and modify it as long as the entire work (including additions) remains under this license.
