Prof. Walter B. Rudin presents the lecture, "Set Theory: An Offspring of Analysis." Prof. Jay Beder introduces Prof. Dattatraya J. Patil who introduces Prof. Walter B. Rudin in the second Marden Lecture at UWM.

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UW-Milwaukee Department of Mathematical Sciences

Page 2 - commentary for Walter Rudin's Principles of Mathematical Analysis
"We now examine this situation a little more closely. Let A be the set of all positive rationals p such that p^2 is less than 2 and let B consist of all positive rationals p such that p^2 is more than 2. We shall show that A contains no largest number and B contains no smallest.
More explicitly, for every p in A we can find a rational q in A such that p is less than q, and for every p in B we can finds a rational q in B such that q is more than p
To do this, we associate with each rational p is greater than 0 the number..."

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Robbie P

Cambridge mathematical reading list: https://www.maths.cam.ac.uk/sites/www.maths.cam.ac.uk/files/pre2014/undergrad/admissions/readinglist.pdf
GENERAL
Flatland – Edwin Abbott
Fermat's last theorem – Simon Singh
A Mathematician’s Apology - G.H. Hardy
CALCULUS
Early transcendentals – James Stewart
Calculus – Michael Spivak
LINEAR ALGEBRA
Elementary Linear Algebra – Howard Anton
DIFFERENTIAL EQUATIONS:
Partial Differential Equations an introduction – Walter Strauss
James Nearing, Mathematical Tools for Physics: http://www.physics.miami.edu/~nearing/mathmethods/
COMPLEX ANALYSIS:
Visual complex analysis – Tristian Needham
OTHER
Principles of mathematical analysis – Walter Rudin
Analysis I – Terence Tao
Algebraic topology – Allen Hatcher
Mathematical methods in the physical sciences – Mary Boas
Abstract algebra – Dummit and Foote
Discrete math and applications – Kenneth Rosen
How to think like a mathematician - Houston
This video is not sponsored but I recommend learning concepts on Brilliant.org/Tibees
See also the John Baez page for leaning math: http://math.ucr.edu/home/baez/books.html#math
Please subscribe ❤ https://www.youtube.com/user/tibees?s...
Twitter: https://twitter.com/TobyHendy
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Tibees

Make your own Hitler video at http://downfall.jfedor.org/

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John Doe

"A Look at Some Old Theorems" presented by Prof. Walter B. Rudin.

Views: 6478
UW-Milwaukee Department of Mathematical Sciences

Solution to exercise 1 from chapter 1 from the textbook "Principles of Mathematical Analysis" by Walter Rudin

Views: 635
For Your Math

Libro: Principios de Análisis Matemático 3ra edicion Walter Rudin
http://www.goodreads.com/book/show/292079.Principles_of_Mathematical_Analysis
Ejercicio 1.1 solucion etapa por etapa.

Views: 1358
maths2wisdom

Definition of compact set; relevant Theorems and propositions.
Refer to: Walter Rudin - Principles of mathematical analysis

Views: 106
Ke Wang

Proving the first claim in Rudin's Principles of Mathematical Analysis.

Views: 1880
mathematicalmonk

CSIR MATHEMATICS REAL ANALYSIS (TIPS) PART -2
BOOKS OF R.A
mathematical analysis by malik and arora---https://books.google.co.in/books?id=L...
ONLINE BUY--
http://www.amazon.in/Mathematical-Ana...
csir math syllabus-http://csirhrdg.res.in/mcs_ma_sylbs.pdf
ANY BBOOK PDF DOWNLOAD-http://bookzz.org/
mathematical analysis by s.c.malik-https://books.google.co.in/books?id=L25yJhCll78C&=frontcover&source=gbs_ge_summary_r&cad=0#v=onepage&q&f=false
mathematical analysis by s.c.malik-http://www.amazon.in/Mathematical-Analysis-S-C-Malik/dp/9385923862/ref=sr_1_1?ie=UTF8&qid=1487309148&sr=8-1&keywords=mathematical+analysis+by+s.c.malik
Elements of real analysis by m.d.raisinghania google book link-https://books.google.co.in/books?id=cWDm7l5G_oAC&printsec=frontcover&source=gbs_ge_summary_r&cad=0#v=onepage&q&f=false
Elements of real analysis by m.d.raisinghania amazon link-https://www.amazon.in/Elements-Real-Anyalsis-M-D-Raisinghania-ebook/dp/B00QUYL702?_encoding=UTF8&keywords=Elements%20of%20real%20analysis%20by%20m.d.raisinghania&qid=1487309391&ref_=sr_1_1&sr=8-1
Pinciples of mathematical analysis by rudin pdf-https://notendur.hi.is/vae11/%C3%9Eekking/principles_of_mathematical_analysis_walter_rudin.pdf
Pinciples of mathematical analysis by rudin amazon-http://www.amazon.in/Principles-Mathematical-Analysis-Walter-Rudin/dp/1259064786/ref=sr_1_sc_1?ie=UTF8&qid=1487309731&sr=8-1-spell&keywords=Pinciples+of+mathematical+analysis+by+rudin

Views: 7815
parchit kumar

This is the first part of the first class from Dr Feinstein's module G12MAN, Mathematical Analysis. This initial workshop is a discussion of the nature of the module, including some examples showing why we sometimes need to be careful.
Additional materials for this module are available at: http://unow.nottingham.ac.uk/resources/resource.aspx?hid=c6c045f6-286d-6b9f-b96c-36a998632fc3# and
http://itunesu.nottingham.ac.uk/albums/71.rss
Dr Joel Feinstein is an Associate Professor in Pure Mathematics at the University of Nottingham.
See also Dr Feinstein's blog at http://explainingmaths.wordpress.com/.

Views: 637
University of Nottingham

Motivation; Theorems and lemmas leading to Ascoli-Arzela; Equicontinuity
Refer to :Walter Rudin-Principles to mathematical analysis

Views: 452
Ke Wang

Weierstrass approximation theorem; proof with and without utilizing dilated Gaussian kernel
refer to: Walter Rudin - Principles of mathematical analysis; Elias Stein & Rami Shakarchi - Fourier analysis: an introduction

Views: 2986
Ke Wang

Libro: Principios de Análisis Matemático 3ra edicion Walter Rudin
http://www.goodreads.com/book/show/29...
Ejercicio 1.1 solucion etapa por etapa.

Views: 712
maths2wisdom

Solution to exercise 1 from chapter 2 from the textbook "Principles of Mathematical Analysis" by Walter Rudin.

Views: 336
For Your Math

Solution to exercise 14 from chapter 2 from the textbook "Principles of Mathematical Analysis" by Walter Rudin.

Views: 27
For Your Math

Solution to exercise 12 from chapter 2 from the textbook "Principles of Mathematical Analysis" by Walter Rudin.

Views: 100
For Your Math

If you find our videos helpful you can support us by buying something from amazon.
https://www.amazon.com/?tag=wiki-audio-20
Walter Rudin
Walter Rudin (May 2, 1921 – May 20, 2010) was an Austrian-American mathematician and professor of Mathematics at the University of Wisconsin–Madison.He is known for three books on mathematical analysis: Principles of Mathematical Analysis, Real and Complex Analysis, and Functional Analysis.
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https://www.youtube.com/watch?v=32D7MAwTMTo

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WikiAudio

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***List of Books***
2:22 - “The Feynman Lectures on Physics, Volume II” by Feynman, Leighton, and Sands
5:02 - "Calculus with Analytic Geometry" by Howard Anton
5:39 - “Linear Algebra and Its Applications by” Gilbert Strang
6:06 - “Algebra and Vector Geometry” by Stanton and Fryer
8:03 - “CALCULUS : A First Course” by Earl W. Swokowski
8:30 - “Probability and Statistical Inference: Volume 1: Probability” and “Probability and Statistical Inference: Volume 2: Statistical Inference” by J.G. Kalbfleisch
9:30 - “Physics for Scientists and Engineers” by Raymond A. Serway and John W. Jewett
10:08 - “Statics and Mechanics of Materials” by Russell C. Hibbeler
10:33 - “Graphic Guide to Frame Construction: Details for Builders and Designers” by Rob Thallon
11:22 - “Reed-Solomon Codes and Their Applications” Edited by Stephen B. Wicker and Vijay K. Bhargava
12:35 - “Applications of Finite Fields” by Alfred J. Menezes, Ian F. Blake, XuHong Gao, Ronald C. Mullin, Scott A. Vanstone, and Tomik Yaghoobian
18:20 - “The Barbell Way to Physical Fitness” by Bruce Randall
19:10 - “Fundamentals of Differential Equations” by R. Kent Nagle and Edward B. Saff
20:16 - “Arnold: The Education of a Bodybuilder” by Arnold Schwarzenegger and Douglas Kent Hall
20:57 - “The Sacred Mushroom Seeker: Tributes to R. Gordon Wasson” by Terence McKenna, Joan Halifax, Peter T. Furst, Albert Hofmann, Richard Evans Schultes, and Others
21:11 - “Tales of a Shaman's Apprentice: An Ethnobotanist Searches for New Medicines in the Rain Forest” by Mark J. Plotkin
21:40 - “Bill Pearl’s Keys to the Inner Universe: World’s Best Built Man” by Bill Pearl
22:50 - “Food of the Gods: The Search for the Original Tree of Knowledge” by Terence McKenna
23:36 - “Principles of Mathematical Analysis” by Walter Rudin
25:00 – “The Theory of Error-Correcting Codes” by F.J. MacWilliams and N.J.A. Sloane
26:08 – “Einstein and the ether” by Ludwik Kostro
26:51 – “Simulation of Communication Systems” by Michel C. Jeruchim, Philip Balaban, K. Sam Shanmugan
27:39 – “On the Origin of Species” by Charles Darwin
28:10 – “Basic Algebra I” by Nathan Jacobson
30:14 – “Error Control Coding: Fundamentals and Applications” by by Shu Lin and Daniel J. Costello Jr.
32:10 – “68000 assembly language programming” by Lance A. Leventhal, Doug Hawkins, Gerry Kane, and William D. Cramer
33:27 – “Interpretation of Electron Diffraction Patterns” by Kenneth William Andrews, David John Dyson, and Samuel Robert Keow
34:20 – “Data Communication of Fundamentals of Baseline Transmission” edited by L.E. Frank
37:00 – “Digital Control System Analysis & Design” by Charles L. Phillips, Troy Nagle, and Aranya Chakrabortty
37:30 – “Foundations of Electromagnetic Theory” by John R. Reitz), Frederick J. Milford, and Robert W. Christy
38:12 – “Arithmetic of Finite Fields“ by Charles Small
39:00 – “Digital Picture Processing: An Introduction” by Leonid Yaroslavsky
39:30 – “Computer Security and Protection Structures” by Bruce J. Walker and Ian F. Blake
40:00 – “Introduction to the Theory of Error-Correcting Codes” by Vera Pless
40:35 – “Integral, Measure and Derivative: A Unified Approach” by by G. E. Shilov and B. L. Gurevich
41:15 – “Calculus with Applications” by Dale E. Varberg and Walter Fleming
41:35 – “Elementary Math Analysis” by Colin Whitcomb Clark
42:11 – “Book 1 - Modern Algebra Structure and Method” by Dolciani Wooton
42:35 – “Principles and practice of information theory” by Richard E Blahut
43:11 – “Mathematics 2” by Max A.; Maletsky and Evan M. Sobel
43:33 – “Introduction to Finite Fields and their Applications”by Rudolf Lidl and Harald Niederreiter
44:47 – “Theory and Practice of Error Control Codes” by Richard E. Blahut
45:30 – “Foundations of Differentiable Manifolds and Lie Groups (Graduate Texts in Mathematics)” by Frank W. Warner
46:02 – “Algebra” by Thomas W. Hungerford
46:16 – “Complex Analysis” by Serge Lang
46:29 – “Introduction to Coding Theory” by J.H. van Lint
46:40 – “Linear Representations of” by Jean-Pierre Serre
47:37 – “Lie Groups, Lie Algebras, and Their Representations” by Veeravalli Seshadri Varadarajan
47:57 – “A Classical Introduction to Modern Number Theory” by Kenneth Ireland and Michael Rosen
48:15 – “Probability” by Albert Shiryaev
48:41 – “Measure Theory” by Paul R. Halmos
52:14 – “Mathematical Foundations of Information Theory” by A. Ya. Khinchin
52:33 – “Integral Transforms and Their Applications” by Brian Davies
52:50 – “The Design and Analysis of Computer Algorithms” by Alfred V. Aho, John E. Hopcroft and Jeffrey D. Ullman
54:00 – “The American Mathematical Monthly” – Journal
56:10 – “IEEE Transactions on Communications” – Journal
56:50 – “IEEE Transactions on Information Theory” - Journal

Views: 40538
chycho

Summer project for 8-9th grade home school. From today, Daniel will upload few videos every weekdays to cover things that are important in CH1 - 8 in baby Rudin. CH1

Views: 95
pinoji

Solution to exercise 13 from chapter 1 from Walter Rudin's textbook, "Principles of Mathematical Analysis."

Views: 83
For Your Math

Solution to exercise 6 from chapter 2 from the textbook "Principles of Mathematical Analysis" by Walter Rudin.

Views: 154
For Your Math

what are sequence, range of sequence, upper bound, lower bound ,sup.,inf.,monotone sequence.
csir math syllabus-http://csirhrdg.res.in/mcs_ma_sylbs.pdf
ANY BBOOK PDF DOWNLOAD-http://bookzz.org/
mathematical analysis by s.c.malik-https://books.google.co.in/books?id=L25yJhCll78C&=frontcover&source=gbs_ge_summary_r&cad=0#v=onepage&q&f=false
mathematical analysis by s.c.malik-http://www.amazon.in/Mathematical-Analysis-S-C-Malik/dp/9385923862/ref=sr_1_1?ie=UTF8&qid=1487309148&sr=8-1&keywords=mathematical+analysis+by+s.c.malik
Elements of real analysis by m.d.raisinghania google book link-https://books.google.co.in/books?id=cWDm7l5G_oAC&printsec=frontcover&source=gbs_ge_summary_r&cad=0#v=onepage&q&f=false
Elements of real analysis by m.d.raisinghania amazon link-https://www.amazon.in/Elements-Real-Anyalsis-M-D-Raisinghania-ebook/dp/B00QUYL702?_encoding=UTF8&keywords=Elements%20of%20real%20analysis%20by%20m.d.raisinghania&qid=1487309391&ref_=sr_1_1&sr=8-1
Pinciples of mathematical analysis by rudin pdf-https://notendur.hi.is/vae11/%C3%9Eekking/principles_of_mathematical_analysis_walter_rudin.pdf
Pinciples of mathematical analysis by rudin amazon-http://www.amazon.in/Principles-Mathematical-Analysis-Walter-Rudin/dp/1259064786/ref=sr_1_sc_1?ie=UTF8&qid=1487309731&sr=8-1-spell&keywords=Pinciples+of+mathematical+analysis+by+rudin

Views: 30027
parchit kumar

Solution to exercise 7 from chapter 2 from the textbook "Principles of Mathematical Analysis" by Walter Rudin.

Views: 149
For Your Math

Solution to exercise 2 from chapter 1 from the textbook "Principles of Mathematical Analysis" by Walter Rudin.

Views: 206
For Your Math

Solution to exercise 11 from chapter 2 from the textbook "Principles of Mathematical Analysis" by Walter Rudin.

Views: 60
For Your Math

Fundamentals of Metric Space.
References:
1. Principles of Mathematical Analysis by Walter Rudin
Video Credits: Aditya Kr

Views: 54
maths is god

Weierstrass approximation theorem; proof with and without utilizing dilated Gaussian kernel
refer to: Walter Rudin - Principles of mathematical analysis; Elias Stein & Rami Shakarchi - Fourier analysis: an introduction

Views: 739
Ke Wang

Solution to exercise 2 from chapter 2 from the textbook "Principles of Mathematical Analysis" by Walter Rudin.

Views: 235
For Your Math

csir math syllabus-http://csirhrdg.res.in/mcs_ma_sylbs.pdf
ANY BBOOK PDF DOWNLOAD-http://bookzz.org/
mathematical analysis by s.c.malik-https://books.google.co.in/books?id=L25yJhCll78C&=frontcover&source=gbs_ge_summary_r&cad=0#v=onepage&q&f=false
mathematical analysis by s.c.malik-http://www.amazon.in/Mathematical-Analysis-S-C-Malik/dp/9385923862/ref=sr_1_1?ie=UTF8&qid=1487309148&sr=8-1&keywords=mathematical+analysis+by+s.c.malik
Elements of real analysis by m.d.raisinghania google book link-https://books.google.co.in/books?id=cWDm7l5G_oAC&printsec=frontcover&source=gbs_ge_summary_r&cad=0#v=onepage&q&f=false
Elements of real analysis by m.d.raisinghania amazon link-https://www.amazon.in/Elements-Real-Anyalsis-M-D-Raisinghania-ebook/dp/B00QUYL702?_encoding=UTF8&keywords=Elements%20of%20real%20analysis%20by%20m.d.raisinghania&qid=1487309391&ref_=sr_1_1&sr=8-1
Pinciples of mathematical analysis by rudin pdf-https://notendur.hi.is/vae11/%C3%9Eekking/principles_of_mathematical_analysis_walter_rudin.pdf
Pinciples of mathematical analysis by rudin amazon-http://www.amazon.in/Principles-Mathematical-Analysis-Walter-Rudin/dp/1259064786/ref=sr_1_sc_1?ie=UTF8&qid=1487309731&sr=8-1-spell&keywords=Pinciples+of+mathematical+analysis+by+rudin

Views: 1406
parchit kumar

Solution to exercise 4 from chapter 2 from the textbook "Principles of Mathematical Analysis" by Walter Rudin.

Views: 72
For Your Math

Solution to exercise 10 from chapter 2 from the textbook "Principles of Mathematical Analysis" by Walter Rudin.

Views: 77
For Your Math

Solution to exercise 4 from chapter 1 from the textbook "Principles of Mathematical Analysis" by Walter Rudin.

Views: 86
For Your Math

Real Analysis-I, 3 Cr. Hours,For students of B.S./M.Sc.Mathematics, and Engineering etc.
CHAPTER-1: Real Number System
1-Ordered sets,
2-Fields,
3-The field of real numbers
4-Completeness property of R
5-The extended real number system
6-Euclidean spaces
7-Finite, countable and uncountable sets
Recommended Books
1. W. Rudin, Principles of Mathematical Analysis, 3rd edition, (McGraw Hill, 1976)
2. R. G. Bartle, Introduction to Real Analysis, 3rd edition, (John Wiley and Sons, 2000)
3. T. M. Apostol, Mathematical Analysis, (Addison-Wesley Publishing Company, 1974)
4. A. J. Kosmala, Introductory Mathematical Analysis, (WCB Company , 1995)
5. W. R. Parzynski and P. W. Zipse, Introduction to Mathematical Analysis, (McGraw Hill Company, 1982)
6. H. S. Gaskill and P. P. Narayanaswami, Elements of Real Analysis, (Printice Hall, 1988)

Views: 78
SALEEM RAJA

Solution to exercise 9 from chapter 2 from the textbook "Principles of Mathematical Analysis" by Walter Rudin.

Views: 77
For Your Math

Solution to exercise 14 from chapter 1 from Walter Rudin's textbook, "Principles of Mathematical Analysis."

Views: 109
For Your Math

Solution to exercise 12 from chapter 1 from Walter Rudin's textbook, "Principles of Mathematical Analysis."

Views: 77
For Your Math

Solution to exercise 5 from chapter 1 from the textbook "Principles of Mathematical Analysis" by Walter Rudin.

Views: 105
For Your Math

Solution to exercise 3 from chapter 1 from the textbook "Principles of Mathematical Analysis" by Walter Rudin

Views: 84
For Your Math

Watch me muddle through a troubled explanation of the prologue of Walter Rudin's Real and Complex Analysis.

Views: 265
Joshua Kindle

Real Analysis-I, 3 Cr. Hours,For students of B.S./M.Sc.Mathematics, and Engineering etc.
CHAPTER-1: Real Number System
1-Ordered sets,
2-Fields,
3-The field of real numbers
4-Completeness property of R
5-The extended real number system
6-Euclidean spaces
7-Finite, countable and uncountable sets
Recommended Books
1. W. Rudin, Principles of Mathematical Analysis, 3rd edition, (McGraw Hill, 1976)
2. R. G. Bartle, Introduction to Real Analysis, 3rd edition, (John Wiley and Sons, 2000)
3. T. M. Apostol, Mathematical Analysis, (Addison-Wesley Publishing Company, 1974)
4. A. J. Kosmala, Introductory Mathematical Analysis, (WCB Company , 1995)
5. W. R. Parzynski and P. W. Zipse, Introduction to Mathematical Analysis, (McGraw Hill Company, 1982)
6. H. S. Gaskill and P. P. Narayanaswami, Elements of Real Analysis, (Printice Hall, 1988)

Views: 73
SALEEM RAJA

Summer project for 8-9th grade home school. From today, Daniel will upload few videos every weekdays to cover things that are important in CH1 - 8 in baby Rudin. this video is for CH3 ratio test

Views: 131
pinoji

Summer project for 8-9th grade home school. From today, Daniel will upload few videos every weekdays to cover things that are important in CH1 - 8 in baby Rudin. On Continuity from CH 4

Views: 246
pinoji

Solution to exercise 17 from chapter 1 from Walter Rudin's textbook, "Principles of Mathematical Analysis."

Views: 116
For Your Math

Solution to exercise 13 from chapter 2 from the textbook "Principles of Mathematical Analysis" by Walter Rudin.

Views: 25
For Your Math