I'm actually finishing up my last semester for a math degree, and in real analysis using Rudin. Fittingly, Mr. This is an advanced text for the one- or two-semester course in analysis taught primarily to math, science, computer science, and electrical engineering majors at the junior, senior or graduate level. Real Analysis Books A R. Come to Mathsite. walter rudin real and complex analysis solutions pdf Type of analysis, complex analysis, really builds up on the present. The remaining material is. Real Analysis, Spring 2010, Harvey Mudd College, Professor Francis Su. A metric space is called separable if it contains a countable dense subset. Rudin Chapter 7 Di erentiation Yung-Hsiang Huangy 1. edu This book has been judged to meet the evaluation criteria set by the Editorial Board of the American Institute of Mathematics in connection with the Institute's Open. Format : PDF - Updated on December 9. Complex analysis. :::To share in the delight and the intellectual experience of mathematics { to °y where before we walked { that. Solutions to Rudin Principles of Mathematical Analysis. Real Analysis by royden. Real analysis is a year long course at my college, and it is all thought in the 1 book. For the PhD Program in Mathematics, this course and its sequel MAT 571 cover the material for the Qualifying Exam in Real Analysis. HILDEBRAND: Introduction to Numerical Analysis RUDIN: Principles of Mathematical Analysis Preface. Wheeden-Zygmund, Measure and Integration. Analysis R2 or as it is commonly and lovingly called baby Rudin to. See this page over here for a list of errata and comments, plus some links to other such pages on the web. This sequence will cover 3 main topics:. Decomposition and diﬀerentiation of measures. Scribd es red social de lectura y. The chapter on Banach algebras is a gem; this subject combines algebra, analysis, and topology, and the exposition shows clearly how the three areas work together. Don't show me this again. Syllabus The Syllabus for the course is available here. These are lecture notes for Functional Analysis (Math 920), Spring 2008. I am conﬁdent that the results are correct, but the arbitrary assignment of 0 × ∞ = 0 hangs like a dark cloud in the horizon; and the lack of Change of Variable Theorem in the. Rudin, Principles of Mathematical Analysis, 3rd edition, Macmillan. Several of these have already been done in our class, some might be too easy, or too hard to put. Supplements to the Exercises in Chapters 1. Rudin (1991) Functional Analysis - 59CLC's Blog. Mathematical Analysis by Rudin. dangtuanhiep. But, ﬁrst a deﬁnition. Emeritus Professor of Statistics. But, ﬁrst a deﬁnition. Elements of spectral theory of linear operators in Banach and Hilbert spaces. Pugh, Real mathematical analysis *M. Second set of lecture notes chapter 8 in Rudin. headings for spectrochemical analysis ingle solutions manual in PDF records from my social INTRODUCTION TO REAL ANALYSIS SOLUTIONS MANUAL. txt) or read online for free. First set of lecture notes chapter 7 in Rudin. Real Analysis Math 131AH Rudin, Chapter #2 Dominique Abdi 2. Connect with one of our tutors now. For a book that jams 2 semesters worth of information in it, it's about an inch thick. (2) Rudin goes directly to the point (3) Rudin gives you the opportunity to think on your feet and fill the gaps. Scribd es red social de lectura y publicación más importante del mundo. Relevant errata from Rudin. Analysis Solution Manual. 2MB File Specification for Third File Extension PDF Pages 102 Size 32MB Related posts: Real and Complex Analysis - Walter Rudin A. The text for this course is Functional Analysis by Peter D. Spedizione con corriere a solo 1 euro. ISBN: 9780070542358. $\begingroup$ What seems to have been forgotten over the years is that THREE undergraduate real analysis texts were published in the U. Rudin, Principles of Mathematical Analysis, McGraw–Hill, 1964. View Daisy Rudin’s profile on LinkedIn, the world's largest professional community. Homework problems will be assigned on a regular basis. (2) Rudin goes directly to the point (3) Rudin gives you the opportunity to think on your feet and fill the gaps. Rudin, Principles of Mathematical Analysis, 3/e (Meng-Gen Tsai) Total Solution (Supported by wwli; he is a good guy :) Ch1 - The Real and Complex Number Systems (not completed) Ch2 - Basic Topology (Nov 22, 2003) Ch3 - Numerical Sequences and Series (not completed) Ch4 - Continuity (not completed) Ch5 - Differentiation (not completed). The readings are assigned in the textbook for this course: Rudin, Walter. Rudin, Walter -. Any serious college student who approaches analysis for the first time must know what a proof is, having seen it in Euclidean Geometry back in junior middle school. Whether you've loved the book or not, if you give your honest and detailed thoughts then people will find new books that are right for them. Moore Instructor at. Real and Complex Analysis has 7 available editions to buy at Half Price Books Marketplace. The book starts with an introduction on concepts such as normal, real and complex fields, sets which are ordered, an extended system of real numbers and Euclidean spaces. 3MB File Specification for Second File Extension PDF Pages 48 Size 0. Principles of Mathematical Analysis 3ed – Rudin W. I would do all the exercises, and if I was unable to. Real and Complex Analysis Walter Rudin This is an advanced text for the one- or two-semester course in analysis taught primarily to math, science, computer science, and electrical engineering majors at the junior, senior or graduate level. There will be two midterms: the first on Tuesday, September 26 (in class), the second on Tuesday, November 7 (also in class). Student Solution Manual Real Analysis Rudin Real ComplexAnalysis Rudin Solutions DOC real analysis rudin solutionmanual filedirect studentsolution book Introduction RealAnalysis Manfred Stoll free PDF ebook downloads. I am conﬁdent that the results are correct, but the arbitrary assignment of 0 × ∞ = 0 hangs like a dark cloud in the horizon; and the lack of Change of Variable Theorem in the. User Review - Flag as inappropriate In Real Analysis, this book is perhaps the best example to show; the genius of Walter Rudin, the stamp he wrote, and the way he took his research throughout the book are in complete the best. Walter Rudin (1921-2010) wrote the book in 1966 to show that real and complex analysis should be studied together rather than as two subjects, and to give a a modern treatment. I do not know if you read the following book: Introduction to Topology and Modern Analysis by George Simmons. Functions of Several. (a) Let f nbe a sequence of continuous, real valued functions on [0;1] which converges uniformly to f. And below are links to individual lectures. This one "Real and Complex Analysis" has served as a standard textbook in the first graduate course in analysis at lots of universities in the US, and around the world. Second set of lecture notes chapter 8 in Rudin. Fourier series. Principles of Mathematical Analysis 3ed – Rudin W. solution manual for Real Analysis by royden High Speed. Book Summary: The title of this book is Principles of Mathematical Analysis (International Series in Pure and Applied Mathematics) and it was written by Walter Rudin. Of the three, I would say Royden's book is the easiest, both in terms of the exposition, material, and exercises. Everyday low prices and free delivery on eligible orders. Analysis, Real and Complex Analysis, and Functional Analysis, whose widespread. Or Real Analysis by Royden for post graduation. Let xbe a Lebesgue point of f2L1 loc (R k). Rudin (1991) Functional Analysis - 59CLC's Blog. Introduction To Real Analysis By Robert G Bartle 3rd Edition for free without registration. , limits, differentiation, integration. After I took my Math 441 & 442 on Real Analysis based on the book Royden(1988)in UniversityofIllinoisatUrbana-Champaign,there issome-thing fuzzy about the theory. ANALISIS REAL Y COMPLEJO RUDIN PDF - Walter Rudin is the author of three textbooks, Principles of Mathematical. But for me Pugh's Real Analysis and Apostol Analysis was the best supplement. But they are not always correct and neat (my view with those available to me. Solutions to Rudin Principles of Mathematical Analysis. Editions of Real and Complex Analysis by Walter Rudin. Now I don’t know much about publishing, but the biggest issue for me was whether or not the book was in English since I don’t know any Indian languages. 5 Real and Complex Analysis by Rudin. As an independent work, it contains much more than the effective lessons can treat according to the imposed program. Principles of Mathematical Analysis (International Series in Pure and Applied Mathematics). Rudin - Real and Complex Analysis - Solutions - Free download as PDF File (. Aﬀectionately referred to as “baby Rudin” (to distinguish it from “big Rudin,” listed in the next section). A student needs to have significant mathematics experience to learn from this. Bergman This packet contains both additional exercises relating to the material in Chapters 1-7 of Rudin, and information on Rudin's exercises for those chapters. In the following, m is the Lebesgue measure. Real and Complex Analysis has 7 available editions to buy at Half Price Books Marketplace. I would do all the exercises, and if I was unable to. Abbott's book was quite a good supplement for some chapters. ISBN: 9780070542358. However, Rudin is a bit more advanced and ambitious than this present course. Real and Complex Analysis has 6 available editions to buy at Alibris. Abbott's book was quite a good supplement for some chapters. Rudin, Real and Complex Analysis. (If the Banach space has complex scalars, then we take continuous linear function from the Banach space to the complex numbers. But they are not always correct and neat (my view with those available to me. We give an introduction to the theory of measure and integration which was developed by Borel and Lebesgue at the beginning of the 20th century. Prerequisites: The formal prerequisites are MAT 371 (Advanced Calculus) and MAT 342 (Linear Algebra). Lecturer: Jiří Lebl. There are three books that are usually used for a first graduate course in analysis, including measure theory, namely Rudin's Real and Complex Analysis, Folland's Real Analysis, and Royden's book. Some of the basic ideas from functional analysis are also included. Other excellent texts include. Aﬀectionately referred to as “baby Rudin” (to distinguish it from “big Rudin,” listed in the next section). Homework problems will be assigned on a regular basis. MATH 502: REAL AND COMPLEX ANALYSIS SPRING 2003 A. See this page over here for a list of errata and comments, plus some links to other such pages on the web. ISBN: 9780070542358. Rent Real and Complex Analysis 3rd edition (978-0070542341) today, or search our site for other textbooks by Walter Rudin. In this book I present an analysis course which I have teach to first year graduate students at the Univereity of Wisconsin since 1962. The third edition of this well known text continues to provide a solid foundation in mathematical analysis for undergraduate and first-year graduate students. I commend the module, Linear Analysis 1, which includes an introduction to that topic which is available to MM students (or you could look it up in Real and Com- plex Analysis by Walter Rudin). com: principles of mathematical analysis - lexus ls430 service manual real and complex analysis rudin solutions pdf pdf study identities rudin analysis chapter 4 solutions pdf - ebook cat service manual amazon. Homeworks, and Re-Writes. Every textbook comes with a 21-day "Any Reason" guarantee. The exam in Modeling and Analysis constitutes one half of the qualifying exam in Applied Mathematics. Right from real analysis rudin chapter 5 questions exercise 9,6,11 solution to decimals, we have all of it discussed. This work includes a chapter on differentiation. There will 9 weekly homework assignments due on Wednesday at the begin-ning of class. A metric space is called separable if it contains a countable dense subset. This will help to make concepts clear. Several of these have already been done in our class, some might be too easy, or too hard to put. At the advanced undergraduate or graduate level for which it is intended, it is self-contained. I felt the book was too difficult when I was going through the course; but in hindsight, it was appropriate (which means I grew from the course!). ANALISIS REAL Y COMPLEJO RUDIN PDF - Walter Rudin is the author of three textbooks, Principles of Mathematical. Find many great new & used options and get the best deals for Higher Mathematics: Real and Complex Analysis by Walter Rudin (1973, Hardcover) at the best online prices at eBay! Free shipping for many products!. with APM 503 (Applied Analysis), but now these two courses are being separated. I'll explain it this way. Find many great new & used options and get the best deals for Real and Complex Analysis by Walter Rudin (1986, Hardcover, Revised) at the best online prices at eBay! Free shipping for many products!. The due dates are printed next to the homework problems posted on my. Note that the first. Rudin - Real and Complex Analysis - Solutions. Furthermore, a more advanced course on real analysis would talk about complex numbers often. in 1953 --- Rudin's book, Real Functions by Casper Goffman, and Theory of Functions of Real Variables by Henry Peter Thielman. , such as Harvey Mudd College and MIT. I do not know if you read the following book: Introduction to Topology and Modern Analysis by George Simmons. From each chapter I have taken the theorems and deﬁnitions I felt deserved the most attention during my studies. 1 1991 November 21 1. Rudin - Real and Complex Analysis - Solutions - Free download as PDF File (. The readings are assigned in the textbook for this course: Rudin, Walter. I took a lot of inspiration and ideas from Rudin. Wheeden-Zygmund, Measure and Integration. This is the second book in the Rudin series suitable for the first year graduate student who has completed Rudin's first book, "Mathematical Analysis" (Chapters 1-7 and 11) or any introductory 1-year course in Real Analysis at the undergraduate senior level. dangtuanhiep. Research Interests. Stein and R. In some places I follow the book closely in others additional material and alternative proofs are given. Basic Topology 1 3. Wachsmuth and Paul Golba) Analysis WebNotes (by John Lindsay Orr) A First Analysis Course (by John O'Connor) Learnstream UC Berkeley video lectures on Multivariable Calculus MIT video lectures on Multivariable Calculus Multivariable calculus (by George Cain and James Herod). The third edition of this well known text continues to provide a solid foundation in mathematical analysis for undergraduate and first-year graduate students. Evaluation. 3MB File Specification for Second File Extension PDF Pages 48 Size 0. Start studying Real Analysis - Rudin. Only the National Association of Realtors spent more while representing real estate industry interests, at over $45. Decomposition and diﬀerentiation of measures. This course provides an introduction to real analysis. Rudin, Walter -. Real Analysis, Lecture 2: Properties of Q - Duration: 24 videos Play all math 131 real analysis w. edu This book has been judged to meet the evaluation criteria set by the Editorial Board of the American Institute of Mathematics in connection with the Institute’s Open. Real Analysis Rudin - Free ebook download as PDF File (. Rudin, Principles of Mathematical Analysis, McGraw–Hill, 1964. Kelley, General Topology and M. In the event you actually seek support with math and in particular with solutions chapter 11 rudin real and complex analysis or the square come pay a visit to us at Polymathlove. , Calculus where all you do is proofs. This is the second book in the Rudin series suitable for the first year graduate student who has completed Rudin's first book, "Mathematical Analysis" (Chapters 1-7 and 11) or any introductory 1-year course in Real Analysis at the undergraduate senior level. MATH 502: REAL AND COMPLEX ANALYSIS SPRING 2003 A. Rudin Exercises Solution This book list for those who looking for to read and enjoy the Rudin Exercises Solution, you can read or download Pdf/ePub books and don't forget to give credit to the trailblazing authors. For each exercise of either type, I give a title (an. Analysis, Real and Complex Analysis, and Functional Analysis, whose widespread. This free online textbook (e-book in webspeak) is a course in undergraduate real analysis (somewhere it is called "advanced calculus"). 001 Real Analysis 2 Rudin - Principles of Mathematical Analysis, Math 5120 Real Analysis 2 Spring 2016. 21 of Rudin He has said that as t=X/(X+1) then t^n. $\begingroup$ Your first sentence on Rudin's book is very bad, unfair and very likely not true. Start studying Real Analysis exam 1 definitions and theorems. Rudin, Principles of Mathematical Analysis, 3/e (Meng-Gen Tsai) Total Solution (Supported by wwli; he is a good guy :) Ch1 - The Real and Complex Number Systems (not completed) Ch2 - Basic Topology (Nov 22, 2003) Ch3 - Numerical Sequences and Series (not completed) Ch4 - Continuity (not completed) Ch5 - Differentiation (not completed). Be sure to refer to the current version of the course notes, since these notes are constantly evolving. Please re-enter recipient e-mail address es. Sep 27, Thomas Bell rated it it was amazing. Real And Complex Analysis Rudin Solutions. Prove that lim n!1f n(x n) = f(1=2) for any sequence fx ngwhich converges to 1=2. Real and Complex Analysis, 3rd Edition by Walter Rudin (9780070542341) Preview the textbook, purchase or get a FREE instructor-only desk copy. Assume the contrary, that there is a set Esuch that the empty set is. Buy Real and Complex Analysis by Walter Rudin Book Online shopping at low Prices in India. be real and to have been present all along. Connect with one of our tutors now. To be interesting the question requires the '1norm; any ele- ment of 'pwith p<1must be an element of c. use is illustrated by the fact that they have been translated into a total of 13. Analysis R2 or as it is commonly and lovingly called baby Rudin to. rudin's Principales of Analysis Ayoub Jbilou; How to Learn Anything. • Text: Princples of Mathematical Analysis, by Walter Rudin. Moore Instructor at MIT, only two years after obtaining his Ph. Scribd es red social de lectura y. Come to Mathsite. Here you can find all 26 lectures of my Real Analysis course at Harvey Mudd College. Kolmogorov & S. Buy Real and Complex Analysis by Walter Rudin Book Online shopping at low Prices in India. TO REAL ANALYSIS William F. The problems in the book are worth solving. Contents 1. Please re-enter recipient e-mail address es. Moreover, some professors prefer the sigma algebra approach to measures -- the wonderful S. with APM 503 (Applied Analysis), but now these two courses are being separated. Wheeden-Zygmund, Measure and Integration. real line, E1), postponing metric theory to Volume II. In 1970 Rudin was an Invited Speaker at the International Congress of Mathematicians in Nice. This is an advanced text for the one- or two-semester course in analysis taught primarily to math, science, computer science, and electrical engineering majors at the junior, senior or graduate level. GRADING POLICY: Homework 40%. The text for this course is Functional Analysis by Peter D. Dedekind's construction gives a more geometric picture of the real numbers. An electronic version seems to be available online for free. I don't promise that these are representative of problems on our test. Buy Principles of mathematical analysis. pdf) or view presentation slides online. Real analysis is a year long course at my college, and it is all thought in the 1 book. (continued) $\endgroup$ - Dave L Renfro Oct 7 '15 at 19:33. This is the second book in the Rudin series suitable for the first year graduate student who has completed Rudin's first book, "Mathematical Analysis" (Chapters 1-7 and 11) or any introductory 1-year course in Real Analysis at the undergraduate senior level. Stein and R. Abbott is a junior level analysis text. 5 Real and Complex Analysis by Rudin. The book is meant both for a basic course for students who do not necessarily wish to go to graduate school, but also as a more advanced course that also covers topics such as metric spaces and should prepare students for graduate study. Trench AndrewG. Real & Complex Analysis by Rudin, Walter and a great selection of related books, art and collectibles available now at AbeBooks. Rudin's book, published in 1962 Läs mer ». Please re-enter recipient e-mail address es. Graduate Real Analysis (Measure, Lebesque Integration): Bartle, The Elements of integration and. A lot of people recommend Rudin's book, but I'm not sure that it is appropriate for somebody who is doing Real Analysis for the first time. Published by McGraw-Hill Education. Rudin - Real and Complex Analysis - Solutions. For the PhD Program in Mathematics, this course and its sequel MAT 571 cover the material for the Qualifying Exam in Real Analysis. The problem is that Rudin pulls his proofs and explanations out of thin air, like a magician, which really is not helpful for representing the big ideas from the subject. Editions of Real and Complex Analysis by Walter Rudin. by Walter Rudin online at Alibris. Walter Rudin, Real and Complex Analysis (used most often) Main Topics. Folland, Real Analysis. I am conﬁdent that the results are correct, but the arbitrary assignment of 0 × ∞ = 0 hangs like a dark cloud in the horizon; and the lack of Change of Variable Theorem in the. Buy Real and Complex Analysis (International Series in Pure & Applied Mathematics) 3 by Walter Rudin (ISBN: 8580000220841) from Amazon's Book Store. INFO Ebook and Manual Reference Real Analysis Solutions Manual Rudin Printable 2019 Popular ebook you should read is Real Analysis Solutions Manual Rudin Printable 2019. Rudin, Principles of Mathematical Analysis, 3rd edition, Macmillan. real and complex analysis-Walter rudin. Scribd es red social de lectura y publicación más importante del mundo. McGraw-Hill, 1991 Berberian, Lectures on Functional Analysis. Rudin, Real and Complex Analysis. He wrote Principles of. Everyday low prices and free delivery on eligible orders. They are incomplete. This text is used in modern investigations in analysis and applied mathematics. The traditionally separate subjects of 'real analysis' and 'complex analysis' are thus united in one volume. In addition to his contributions to complex and harmonic analysis, Rudin is known for his mathematical analysis textbooks: Principles of Mathematical Analysis, Real and Complex Analysis, and Functional Analysis (informally referred to by. com: Real and Complex Analysis (Higher Mathematics Series) (9780070542341) by Rudin, Walter and a great selection of similar New, Used and Collectible Books available now at great prices. Convolutions. Morgan, Real Analysis. He assumes the reader knows a lot. I'm looking for introductory text on Real Analysis and I've heard that Baby Rudin is a classic. This is an advanced text for the one- or two-semester course in analysis taught primarily to math, science, computer science, and electrical engineering majors at the junior, senior or graduate level. Furthermore, a more advanced course on real analysis would talk about complex numbers often. Here you can find all 26 lectures of my Real Analysis course at Harvey Mudd College. The text begins with a discussion of the real number system as a complete ordered field. Real And Complex Analysis Rudin Solutions. Find many great new & used options and get the best deals for Higher Mathematics: Real and Complex Analysis by Walter Rudin (1973, Hardcover) at the best online prices at eBay! Free shipping for many products!. Real and Complex Analysis Walter Rudin This is an advanced text for the one- or two-semester course in analysis taught primarily to math, science, computer science, and electrical engineering majors at the junior, senior or graduate level. Furthermore, a more advanced course on real analysis would talk about complex numbers often. Rudin's blue book. license student solution manual real analysis rudin solas amazon. Important mathematicians associated with complex numbers include Euler, Gauss, Riemann, Cauchy, Weierstrass, and many more in the 20th century. Real Analysis (Modern Techniques and Their Applications) by Gerald B. solution manual for Real Analysis by royden High Speed. I do not know if you read the following book: Introduction to Topology and Modern Analysis by George Simmons. I’ve browsed through various websites for topics like y-intercept and rational expressions but none could help me solve my problem relating to solutions manual introduction to real analysis,walter rudin. Playlist, FAQ, writing handout, notes available at: http://analysisyawp. Learn vocabulary, terms, and more with flashcards, games, and other study tools. Real Analysis (Ph. baby rudin is a great analysis textbook for these reasons: it fits a ton of material in a relatively short book. Abbott's book was quite a good supplement for some chapters. • Text: Princples of Mathematical Analysis, by Walter Rudin. Fourth set of lecture notes chapter 9 in Rudin. with APM 503 (Applied Analysis), but now these two courses are being separated. I am a fan of Rudin's books. It might be a bit hard for undergraduates who haven't seen real analysis before. Rudin Real And Complex Analysis Solution Chapter 7. real and complex analysis rudin pdf download 3 Principles of Mathematical Analysis by Rudin. Summary: Is Baby Rudin a good choice for first Real Analysis textbook for someone without strong pure math background? I've completed 2 semesters of college calculus, but not "pure math" calculus which is taught to math students. Elements of spectral theory of linear operators in Banach and Hilbert spaces. Big Rudin vs Royden vs Kolmogorov and Fomin (translated by Silverman) Rudin is the most difficult to read of the three books because he attempts to make the. Kelley, General Topology and M. 1 REAL ANALYSIS 1 Real Analysis 1. The attempt at a solution Download: Rudin solutions chapter 5 at Marks Web of analysis, apostol solution manual, principles of mathematical analysis rudin. However, Rudin is a bit more advanced and ambitious than this present course. First set of lecture notes chapter 7 in Rudin. Experience shows that this requires careful planning especially since Chapter 2 is quite condensed. contributor. Roger Cooke Solution. I don’t promise that these are representative of problems on our test. by Walter Rudin online at Alibris. This is the second book in the Rudin series suitable for the first year graduate student who has completed Rudin's first book, "Mathematical Analysis" (Chapters 1-7 and 11) or any introductory 1-year course in Real Analysis at the undergraduate senior level. There many solution manuals for W. For the PhD Program in Mathematics, this course and its sequel MAT 571 cover the material for the Qualifying Exam in Real Analysis. Professor Evelyn Silvia Department of Mathematics University of California Davis, CA 95616 USA office: 664 Kerr Hall. The book `Introductory Real Analysis' by Kolmogorov and Fomin will be the main reference for Lebesque integration (roughly the last three weeks of the semester). Stein and R. Analysis, Real and Complex Analysis, and Functional Analysis, whose widespread. Moreover, some professors prefer the sigma algebra approach to measures -- the wonderful S. In these three courses students are expected to learn the fundamental tools needed to work in the general field of analysis. Real and complex analysis by RUDIN, Walter and a great selection of related books, art and collectibles available now at AbeBooks. real analysis homework solutions rudin ALVS was a great program for our real analysis homework solutions rudin daughter ALVS has bent over backwards to help us with anything we needed and the whole experience has been excellent from registering to taking the classes, to helping with transcripts and even letters of recommendation. Here you can find all 26 lectures of my Real Analysis course at Harvey Mudd College. From each chapter I have taken the theorems and definitions I felt deserved the most attention during my studies. This presentation is unhurried and the author does most of. Real Analysis, Lecture 2: Properties of Q - Duration: 24 videos Play all math 131 real analysis w. Real and Complex Analysis [Walter Rudin] on Amazon. Reed and B. I also really liked Landau's Foundations of Analysis and Shilov's Elementary Real and Complex Analysis (same level as Rudin but Shilov's motivates the concepts very well and goes in-depth to the topology).