41. Hamilton's Papers On Real Analysis Hamilton's Papers on real analysis. 475477.) This is a short abstract ofthe above paper on Fluctuating Functions. Other real analysis Papers. http://www.maths.tcd.ie/pub/HistMath/People/Hamilton/Analysis.html

Hamilton's Papers on Real Analysis William Rowan Hamilton's most substantial paper on real analysis is On Fluctuating Functions , which is concerned largely with ideas from Fourier analysis. He wrote several short papers on topics in real analysis `Fluctuating Functions' On Fluctuating Functions (Transactions of the Royal Irish Academy, volume 19 (1843), pp. 264-321.) In this paper, Hamilton sets out to explain the validity of the Fourier inversion formula by means of a principle which he calls the Principle of Fluctuation . He also uses this principle to obtain generalizations of the Fourier Inversion Formula. He also considers the representation of periodic functions by Fourier series, and discusses various applications of Fourier analysis. On Fluctuating Functions [Abstract] (Proceedings of the Royal Irish Academy, 1 (1841), pp. 475-477.) This is a short abstract of the above paper on Fluctuating Functions. Other Real Analysis Papers On the Error of a received Principle of Analysis, respecting Functions which vanish with their Variables (Transactions of the Royal Irish Academy, volume 16, part 1 (1830), pp. 63-64.) In this paper, Hamilton observes that the function equal to the exponential of -1/ x for positive values of the real variable x cannot be expanded as a power series in x , despite the fact that the function tends to the limit zero as x tends to zero.

42. Real Analysis info prev up next, search book cdrom email home. real analysis. seeAnalysis, Calculus, Complex Analysis. © 19952002 2002-10-21 http http://www.ericweisstein.com/encyclopedias/books/RealAnalysis.html

Real Analysis see Analysis Calculus Complex Analysis http://www.ericweisstein.com/encyclopedias/books/books/RealAnalysis.html

43. Real Analysis real analysis. Math 550 real analysis. This course introduces Lebesguemeasure and integration, convergence theorems, L(sub 1) spaces http://www.calpoly.edu/~math/math550.html

Real Analysis Math 550 Real Analysis This course introduces Lebesgue measure and integration, convergence theorems, L(sub 1) spaces, the Radon-Nikodym theorem and Fubini's theorem. The prerequisite for Math 550 is satisfactory completion of the Graduate Written Examination in Analysis, or consent of the Graduate Committee. Expected Outcomes Students should: develop an understanding of the concepts of measure, measurable functions and the Lebesgue integral. develop an understanding of the shortcomings of the Riemann Integral and the need for the Lebesgue integral. gain a knowledge of various types of convergence, several convergence theorems and their applications. Math Graduate Program

44. Real Analysis CM 321A real analysis CM 321A. Information (pdf) (ps); Last year exam paper(pdf) (ps). Lecture Notes (pdf) (ps); Appendix (pdf) (ps). Exercise http://www.mth.kcl.ac.uk/~ysafarov/Lectures/CM321A/

Real Analysis CM 321A Information (pdf) ps) Last year exam paper (pdf) (ps) Lecture Notes pdf) (ps) Appendix pdf) ps) Exercise Sheet 1 pdf) (ps) Solutions 1 pdf) (ps) Exercise Sheet 2 (pdf) (ps) Solutions 2 (pdf) (ps) Exercise Sheet 3 (pdf) (ps) Solutions 3 (pdf) (ps) Exercise Sheet 4 (pdf) (ps) Solutions 4 (pdf) (ps) Exercise Sheet 5 (pdf) (ps) Solutions 5 Updated 22 November 2002 Yu. Safarov Home Page

45. WileyEurope :: Introduction To Real Analysis WileyEurope Mathematics Statistics Mathematics SpecialTopics Introduction to real analysis. Related Subjects, http://www.wileyeurope.com/cda/product/0,,0471853917|desc|2733,00.html

Shopping Cart My Account Help Contact Us By Keyword By Title By Author By ISBN By ISSN WileyEurope Mathematics Special Topics Introduction to Real Analysis Related Subjects General Statistics Statistics Experimental Design Related Titles Mathematics Special Topics The Schwarz Function and Its Generalization to Higher Dimensions (Hardcover) Harold S. Shapiro Methods of Representation Theory, Volume 2 (Paperback) Charles W. Curtis, Irving Reiner A Posteriori Error Estimation in Finite Element Analysis (Hardcover) Mark Ainsworth, J. T. Oden Theory of Computational Complexity (Hardcover) Ding-Zhu Du, Ker-I Ko Vector Integration and Stochastic Integration in Banach Spaces (Hardcover) Nicolae Dinculeanu Mathematics Special Topics Introduction to Real Analysis John DePree, Charles Swartz ISBN: 0-471-85391-7 Hardcover 368 Pages February 1989 Add to Cart Description Table of Contents Assuming minimal background on the part of students, this text gradually develops the principles of basic real analysis and presents the background necessary to understand applications used in such disciplines as statistics, operations research, and engineering. The text presents the first elementary exposition of the gauge integral and offers a clear and thorough introduction to real numbers, developing topics in n-dimensions, and functions of several variables. Detailed treatments of Lagrange multipliers and the Kuhn-Tucker Theorem are also presented. The text concludes with coverage of important topics in abstract analysis, including the Stone-Weierstrass Theorem and the Banach Contraction Principle.

46. WileyEurope :: Introduction To Real Analysis, 3rd Edition WileyEurope, Introduction to real analysis, 3rd Editionby Robert G. Bartle, Donald R. Sherbert. http://www.wileyeurope.com/cda/product/0,,0471321486|desc|2733,00.html

Shopping Cart My Account Help Contact Us By Keyword By Title By Author By ISBN By ISSN WileyEurope Mathematics Special Topics Introduction to Real Analysis, 3rd Edition Related Subjects General Statistics Statistics Experimental Design Related Titles By These Authors The Elements of Integration and Lebesgue Measure (Paperback) The Elements of Real Analysis, 2nd Edition (Hardcover) Mathematics Special Topics Lebesgue Measure and Integration: An Introduction (Hardcover) Frank Burk Topics in Complex Function Theory, Volume 2, Automorphic Functions and Abelian Integrals (Paperback) C. L. Siegel Sub-Hardy Hilbert Spaces in the Unit Disk (Hardcover) Donald Sarason Introduction to Integral Equations with Applications, 2nd Edition (Hardcover) A. Jerri Discovering Wavelets (Hardcover) Edward Aboufadel, Steven Schlicker Mathematics Special Topics Introduction to Real Analysis, 3rd Edition Robert G. Bartle, Donald R. Sherbert

47. Powell's Books - Used, New, And Out Of Print Mathematics real analysis There are 259 books in this aisle. Browse aisle.Featured Titles in Mathematicsreal analysis Page 1 of 6 next. http://www.powells.com/subsection/MathematicsRealAnalysis.html

Technical Books Kids' Books eBooks more search options ... Materials Science Mathematics Mechanical Engineering Media Metal Metaphysics ... view all sections... Real Analysis There are 267 books in this aisle. Browse the aisle by Title by Author by Price See recently arrived used books in this aisle. Featured Titles in Mathematics -Real Analysis: Page 1 of 6 next Elementary analysis :the theory of calculus / Kenneth A. Ross. by Kenneth A Ross Publisher Comments "Designed for students having no previous experience with rigorous proofs, this text on analysis can be used immediately following standard calculus courses. It is highly recommended for anyone planning to study advanced analysis, e.g., complex variables,... ( read more List Price $34.95 Your price Used - Hardcover check for other copies Introductory Real Analysis by A N Kolmogorov Publisher Comments Self-contained, evenly paced introduction to real and functional analysis. Some 350 problems.... ( read more List Price $14.95

48. Real Analysis With Real Applications real analysis with Real Applications. This is a new undergraduate textin real analysis published by Prentice Hall. It features all http://www.math.uwaterloo.ca/~krdavids/real.html

Real Analysis with Real Applications This is a new undergraduate text in real analysis published by Prentice Hall. It features all the standard material plus extensive and substantial chapters on areas of applications of the central notions of real analysis. Table of Contents Preface Errata We welcome comments on this book. You can email us at krdavids@uwaterloo.ca and adonsig@math.unl.edu You can also visit the Prentice Hall website for this book. Back to Ken Davidson's Home Page

49. MA 343A Intro To Real Analysis In one sense real analysisis just doing calculus all over again, only this time we prove everything.......MA 343A Introduction to real analysis. http://web.merrimack.edu/hullt/real.html

MA 343A Introduction to Real Analysis Instructor: Thomas Hull, Mendel 256, x4334, thull@merrimack.edu Click here for Homework assignments. Text: Analysis with an Introduction to Proof , 2nd edition, by Steven R. Lay, Prentice Hall, 1990. Description: In one sense real analysis is just doing calculus all over again, only this time we prove everything . But in another, larger sense this class is much more than that. It's about setting up a system to analyze things like calculus thoroughly and rigorously so that we can move beyond calculus. That is the real goal of real analysis. (Ha!) With only one semester, we won't have much time, if any, to go beyond like that. We'll have our hands full going over logic, defining the real number system, playing with epsilons and deltas, and proving all the Theorems from calculus. But hopefully we'll have time at the end to glimpse beyond the veil of calculus ... Lebesgue integration! Ooooo! Homework: There will be weekly homework assignments. Some will be easy, and some won't be! Not to worry, though. You'll be allowed to resubmit any assignments that you hand in for a better grade. (As long as you hand in the first attempt on time!) Grading and exams: There will be two exams and a final. The grade breakdown will be:

50. Real Analysis I And II-- Mathematics 481-2, 681-2 Mathematics 4812, 681-2 real analysis (3 credit hours). This page necessary).(3) Use other real analysis books as references. (4 http://www.utm.edu/~caldwell/classes/481/

Mathematics Real Analysis (3 credit hours) This page: [ Prerequisites Comments Catalog Description Grade ... Text Teacher: Dr. Caldwell , office 429 Holt Humanities, phone 7336. Department office 7360. email: caldwell@utm.edu Comments: Prerequisites: Discrete Mathematics (math 241) and Multivariate Calculus (Math 320) Catalog Description: Sets and countability. The real number systems. Sequences, limits, infinite series, metric spaces, continuous functions, uniform continuity, and convergence. Riemann and Lebesgue integration. Students are required to submit written work and make an oral presentation. Grade: The course grade will be a weighted average of the homework, tests, final, board-work and, for the 681 students, a research project. BRIBES (of the student, the teacher is unbribable): 1% for each winning solution to the problem of the month. 1% for each solution on the Virginia Tech. Competition 1% for attempting each half of the Putnam Competition. 3% for each apparently correct solution on the Putnam.

51. Real Analysis Home Page real analysis, MAT425. Spring 1997. Required Text. Introduction to real analysis,by Michael J. Schramm, Prentice Hall (1996), ISBN 013-229824-2. Attendance. http://math.arsc.sunyit.edu/math/mat425/admin.html

Real Analysis, MAT425 Spring 1997 SUNY Institute of Technology Applied Math Homepage Class Administration: Syllabus, etc. Lectures Homework ... Student Projects Instructor Dr. William J. Thistleton Donovan 2289 thistlet@sunyit.edu Find us on the Web http://www.math.sunyit.edu/math/mat425/mat425.html Class Meetings Classes meet on Tuesday and Thursday mornings from 10:00 - 11:50 a.m. in Donovan 1109. Office Hours Formal office hours will be on Mondays from 2:00 till 4:00 in my office and on Wednesdays from 12:00 till 2:00 in the Learning Center. Prerequisite/Corequisite Calculus III, MAT323 or equivalent. Catalog Course Description This course introduces the student to a rigorous development of the real number system and the theory of Calculus on the real number line. Topics include: basic set theory, the real number system, sequences and series, limits and continuity, the derivative, the Riemann Integral, the Fundamental Theorem of Calculus, and sequences and series of functions. Required Text Introduction to Real Analysis , by Michael J. Schramm, Prentice Hall (1996), ISBN 0-13-229824-2.

52. Real Analysis MA401 real analysis. Fall 2002. 401 Banquet is set for Tuesday, 630at the Deanery (brick house next to Babba's). Graded assignments http://community.middlebury.edu/~abbott/classes/fall02/ma401.html

MA401 Real Analysis Fall 2002 401 Banquet is set for Tuesday, 6:30 at the Deanery (brick house next to Babba's) Graded assignments on my Warner office door (this includes the first assignment on Fourier and Power series) Office hours during exam week: (All these will be in Ross; I will certainly be around many other times so give a call or just stop by. You can also drop me a note to make an appointment if you like.) Monday: 1:00-2:30 Tuesday: 11:0012:00 Wednesday: appointment Thursday: 1:002:30 Friday: 11:0012:00 Copy of course policies Maple tips Problem tips Assignments: Due 9/13: Handout from class. This one is to be done in groups of 2 or 3just submit one report per group. Due 9/18: 1.2.1(a), 1.2.4, 1.2.8, 1.3.2, 1.3.8, 1.3.9, plus finish Archimedes proof of the area of circle Due 9/24: (Collaborative assignmentgroups of 2 or 3) 1.4.2, 1.4.3, 1.4.6(a), 1.4.8(a), 1.4.12, 1.5.51.5.8, Extra credit for each part of 1.5.9 Due 9/30: 2.2.1, 2.2.3, 2.2.5a, 2.3.2, 2.3.6, 2.3.7, 2.3.11 Due 10/7: 2.4.2 (Example 1.2.7 might be useful here), 2.4.4, 2.5.2, 2.5.3, 2.6.2, 2.6.5, 2.7.1 (just pick one of a,b, or c), 2.7.3

53. MA1151 Introductory Real Analysis Systems MA1151 Introductory real analysis. MA1151(=MC146) Introductoryreal analysis. Credits 10, Convenor Dr Frank Neumann, Semester 2. http://www.mcs.le.ac.uk/Modules/MA-02-03/MA1151.html

Next: MA1152 Introductory Linear Algebra Up: Level 1 Previous: MA1102 Algebraic Structures and Number Systems MA1151 Introductory Real Analysis MA1151(=MC146) Introductory Real Analysis Credits: Convenor: Dr Frank Neumann Semester: Prerequisites: essential: MA1101(=MC144), MA1102(=MC145) Assessment: Coursework and tests: 20% One and a half hour examination: 80% Lectures: Problem Classes: none Tutorials: Private Study: Labs: none Seminars: none Project: none Other: none Surgeries: none Total: Explanation of Pre-requisites This module continues the discussion of number systems from MA1102; in particular, familiarity with the rational numbers will be assumed. The module will contain rigorous mathematical discussion of the central concepts and so will draw on the notions of proof and logical argument introduced in MA1101 and applied in MA1102. Familiarity with the idea of a function, as introduced in these previous modules, will also be important. Course Description This course will introduce students to the beginnings of Real Analysis, the study of the mathematics of the continuous number line. For a variety of reasons, it turns out that there are not enough rational numbers; for example, as is not a rational, the equation

54. MC146 Introductory Real Analysis MC146 Introductory real analysis. MC146 Introductory real analysis. Credits 10,Convenor Dr Frank Neumann, Semester 2. Prerequisites essential MC144, MC145, http://www.mcs.le.ac.uk/Modules/Modules01-02/node15.html

Next: MC147 Introductory Linear Algebra Up: Year 1 Previous: MC145 Algebraic Structures and Number Systems MC146 Introductory Real Analysis MC146 Introductory Real Analysis Credits: Convenor: Dr Frank Neumann Semester: Prerequisites: essential: MC144, MC145 Assessment: Coursework and tests: 20% One and a half hour examination: 80% Lectures: Problem Classes: none Tutorials: Private Study: Labs: none Seminars: none Project: none Other: none Surgeries: none Total: Explanation of Pre-requisites This module continues the discussion of number systems from MC145; in particular, familiarity with the rational numbers will be assumed. The module will contain rigorous mathematical discussion of the central concepts and so will draw on the notions of proof and logical argument introduced in MC144 and applied in MC145. Familiarity with the idea of a function, as introduced in these previous modules, will also be important. Course Description This course will introduce students to the beginnings of Real Analysis, the study of the mathematics of the continuous number line. For a variety of reasons, it turns out that there are not enough rational numbers; for example, as is not a rational, the equation

55. Wiley Canada :: Introduction To Real Analysis Wiley Canada Mathematics Statistics Mathematics Special Topics Introduction to real analysis. Related Subjects, http://www.wileycanada.com/cda/product/0,,0471853917|desc|2733,00.html

Shopping Cart My Account Help Contact Us By Keyword By Title By Author By ISBN By ISSN Wiley Canada Mathematics Special Topics Introduction to Real Analysis Related Subjects General Statistics Statistics Experimental Design Related Titles Mathematics Special Topics The Schwarz Function and Its Generalization to Higher Dimensions (Hardcover) Harold S. Shapiro Methods of Representation Theory, Volume 2 (Paperback) Charles W. Curtis, Irving Reiner Theory of Computational Complexity (Hardcover) Ding-Zhu Du, Ker-I Ko Vector Integration and Stochastic Integration in Banach Spaces (Hardcover) Nicolae Dinculeanu A Posteriori Error Estimation in Finite Element Analysis (Hardcover) Mark Ainsworth, J. T. Oden Mathematics Special Topics Introduction to Real Analysis John DePree, Charles Swartz ISBN: 0-471-85391-7 Hardcover 368 Pages May 1988 US $105.95

56. Wiley Canada :: Methods Of Real Analysis, 2nd Edition Wiley Canada Mathematics Statistics Mathematics Special Topics Methods of real analysis, 2nd Edition. Related Subjects, http://www.wileycanada.com/cda/product/0,,0471310654|desc|2733,00.html

Shopping Cart My Account Help Contact Us By Keyword By Title By Author By ISBN By ISSN Wiley Canada Mathematics Special Topics Methods of Real Analysis, 2nd Edition Related Subjects General Statistics Statistics Experimental Design Related Titles Mathematics Special Topics Chebyshev Polynomials: From Approximation Theory to Algebra and Number Theory, 2nd Edition (Hardcover) Theodore J. Rivlin Approximation Theory: Proceedings of the International Dortmund Meeting IDoMAT'95 held in Witten, Germany, March 13-17, 1995 (Hardcover) Fundamental Ideas of Analysis (Hardcover) Michael C. Reed The Elements of Real Analysis, 2nd Edition (Hardcover) Robert G. Bartle Introduction to Real Analysis, 3rd Edition (Hardcover) Robert G. Bartle, Donald R. Sherbert Mathematics Special Topics Methods of Real Analysis, 2nd Edition Richard R. Goldberg ISBN: 0-471-31065-4 Hardcover 416 Pages February 1976 US $105.95

57. Real Analysis And Probability - Cambridge University Press Home Catalogue real analysis and Probability. Related Areas Pure Mathematics.real analysis and Probability. 2nd Edition. RM Dudley. £90.00. http://books.cambridge.org/052180972X.htm

Home Catalogue Related Areas: Pure Mathematics Cambridge Studies in Advanced Mathematics New titles Email For updates on new titles in: Pure Mathematics Real Analysis and Probability 2nd Edition R. M. Dudley Paperback In stock Reviews ‘A marvellous work which will soon become a standard text in the field for both teaching and reference a complete and pedagogically perfect presentation of both the necessary preparatory material of real analysis and the proofs throughout the text. Some of the topics and proofs are rarely found in other textbooks.’ Proceedings of the Edinburgh Mathematical Society ‘Careful, scholarly, and stimulating. It would be a pleasure to teach a mathematically-oriented graduate-level course from this text.’ Short Book Reviews of the ISI ‘(It) will serve for a long time as a standard reference.’Zentralblatt fur und ihre Grenzgebiete ‘What makes the book special is the care and scholarship with which the material is treated, and the choice of additional topics not usually covered in first year graduate courses.’Mathematical Reviews Sample chapter Download sample chapter Contents 1. Foundations: set theory; 2. General topology; 3. Measures; 4. Integration; 5. Lp spaces: introduction to functional analysis; 6. Convex sets and duality of normed spaces; 7. Measure, topology, and differentiation; 8. Introduction to probability theory; 9. Convergence of laws and central limit theorems; 10. Conditional expectations and martingales; 11. Convergence of laws on separable metric spaces; 12. Stochastic processes; 13. Measurability: Borel isomorphism and analytic sets; Appendixes: A. Axiomatic set theory; B. Complex numbers, vector spaces, and Taylor’s theorem with remainder; C. The problem of measure; D. Rearranging sums of nonnegative terms; E. Pathologies of compact nonmetric spaces; Indices.

58. Real Analysis And Probability - Cambridge University Press Home Catalogue real analysis and Probability. Related Areas Pure Mathematics.real analysis and Probability. 2nd Edition. RM Dudley. £32.95. http://books.cambridge.org/0521007542.htm

Home Catalogue Related Areas: Pure Mathematics Cambridge Studies in Advanced Mathematics New titles Email For updates on new titles in: Pure Mathematics Real Analysis and Probability 2nd Edition R. M. Dudley Hardback In stock Reviews ‘A marvellous work which will soon become a standard text in the field for both teaching and reference a complete and pedagogically perfect presentation of both the necessary preparatory material of real analysis and the proofs throughout the text. Some of the topics and proofs are rarely found in other textbooks.’ Proceedings of the Edinburgh Mathematical Society ‘Careful, scholarly, and stimulating. It would be a pleasure to teach a mathematically-oriented graduate-level course from this text.’ Short Book Reviews of the ISI ‘(It) will serve for a long time as a standard reference.’Zentralblatt fur und ihre Grenzgebiete ‘What makes the book special is the care and scholarship with which the material is treated, and the choice of additional topics not usually covered in first year graduate courses.’Mathematical Reviews Sample chapter Download sample chapter Contents 1. Foundations: set theory; 2. General topology; 3. Measures; 4. Integration; 5. Lp spaces: introduction to functional analysis; 6. Convex sets and duality of normed spaces; 7. Measure, topology, and differentiation; 8. Introduction to probability theory; 9. Convergence of laws and central limit theorems; 10. Conditional expectations and martingales; 11. Convergence of laws on separable metric spaces; 12. Stochastic processes; 13. Measurability: Borel isomorphism and analytic sets; Appendixes: A. Axiomatic set theory; B. Complex numbers, vector spaces, and Taylor’s theorem with remainder; C. The problem of measure; D. Rearranging sums of nonnegative terms; E. Pathologies of compact nonmetric spaces; Indices.

59. Wiley :: Real Analysis: A Historical Approach Wiley Mathematics Statistics Algebra Complex Functional Analysis real analysis A Historical Approach. Related Subjects, http://www.wiley.com/cda/product/0,,0471318523|desc|2717,00.html

Shopping Cart My Account Help Contact Us By Keyword By Title By Author By ISBN By ISSN Wiley Algebra Real Analysis: A Historical Approach Related Subjects General Algebra Linear Algebra Related Titles By This Author Introductory Modern Algebra: A Historical Approach (Hardcover) The Hilbert Transform of Schwartz Distributions and Applications (Hardcover) J. N. Pandey Introductory Functional Analysis with Applications (Paperback) Erwin Kreyszig Green's Functions and Boundary Value Problems, 2nd Edition (Hardcover) Ivar Stakgold An Introduction to Complex Analysis (Hardcover) O. Carruth McGehee Functional Analysis (Hardcover) Peter D. Lax Real Analysis: A Historical Approach Saul Stahl ISBN: 0-471-31852-3 Hardcover 288 Pages July 1999 US $99.95 Add to Cart Description Table of Contents Author Information A provocative look at the tools and history of real analysis This new work from award-winning author Saul Stahl offers a real treat for students of analysis. Combining historical coverage with a superb introductory treatment, Real Analysis: A Historical Approach helps readers easily make the transition from concrete to abstract ideas.

60. Wiley :: Real Analysis: Modern Techniques And Their Applications, 2nd Edition Wiley, real analysis Modern Techniques and TheirApplications, 2nd Edition by Gerald B. Folland. http://www.wiley.com/cda/product/0,,0471317160|desc|2717,00.html

Shopping Cart My Account Help Contact Us By Keyword By Title By Author By ISBN By ISSN Wiley Algebra Real Analysis: Modern Techniques and Their Applications, 2nd Edition Related Subjects General Algebra Linear Algebra Related Titles Modern Real and Complex Analysis (Hardcover) Bernard R. Gelbaum Real Analysis: A Historical Approach (Hardcover) Saul Stahl The Hilbert Transform of Schwartz Distributions and Applications (Hardcover) J. N. Pandey Introductory Functional Analysis with Applications (Paperback) Erwin Kreyszig Green's Functions and Boundary Value Problems, 2nd Edition (Hardcover) Ivar Stakgold Real Analysis: Modern Techniques and Their Applications, 2nd Edition Gerald B. Folland ISBN: 0-471-31716-0 Hardcover 408 Pages March 1999 US $99.95 Add to Cart Description Table of Contents Author Information An in-depth look at real analysis and its applications-now expanded and revised. This new edition of the widely used analysis book continues to cover real analysis in greater detail and at a more advanced level than most books on the subject. Encompassing several subjects that underlie much of modern analysis, the book focuses on measure and integration theory, point set topology, and the basics of functional analysis. It illustrates the use of the general theories and introduces readers to other branches of analysis such as Fourier analysis, distribution theory, and probability theory.

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