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4434Interactive Real Analysis
http://www.merlot.org/merlot/viewMaterial.htm?id=85542
Quoted from the site: "Interactive Real Analysis is an online, interactive textbook for Real Analysis or Advanced Calculus in one real variable. It deals with sets, sequences, series, continuity, differentiability, integrability (Riemann and Lebesgue), topology, and more.״A Short Course in Information Theory
http://www.merlot.org/merlot/viewMaterial.htm?id=89011
A Short Course in Information Theory.Application of six sigma in Quality
http://www.merlot.org/merlot/viewMaterial.htm?id=79064
Talking about quality it is producing better with less waste of money and time. Applying the six sigma can help to reduce cost of production. Through this web anybody can apply to become menber of ASQ, for training and take online courses about quality and the updating of ISO 9000.Elementary Real Analysis
http://www.merlot.org/merlot/viewMaterial.htm?id=905925
'This book is the second edition of an undergraduate level Real Analysis textbook formerly published by Prentice Hall (Pearson) in 2001. It is designed to be a user-friendly text that is suitable for a one year course. Additional elementary material designated asenrichment can be included for students with minimal background. Material designated asadvanced is intended for students with stronger backgrounds. Such topics are of a more sophisticated nature. The text consists of two volumes, each covering a semester course.'FUNCTIONS DEFINED BY IMPROPER INTEGRALS
http://www.merlot.org/merlot/viewMaterial.htm?id=826915
'This is a supplement to the author’s Introduction to Real Analysis. It 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 Textbook Initiative. It may be copied, modiﬁed, redistributed, translated, and built upon subject to the Creative Commons Attribution-NonCommercial-ShareAlike 3.0 Unported License. A complete instructor’s solution manual is available by email to wtrench@trinity.edu, subject to veriﬁcation of the requestor’s faculty status.'Introduction to Real Analysis: http://www.merlot.org/merlot/viewMaterial.htm?id=516759 NOTE: This book meets the evaluation criteria set by the Editorial Board of the American Institute of Mathematics in connection with the Institute's Open Textbook Initiative. http://www.aimath.org/textbooks/Introduction To Real Analysis
http://www.merlot.org/merlot/viewMaterial.htm?id=516759
״This is a text for a two-term course in introductory real analysis for junior or senior mathematics majors and science students with a serious interest in mathematics. Prospective educators or mathematically gifted high school students can also benefit from the mathematical maturity that can be gained from an introductory real analysis course. The book is designed to fill the gaps left in the development of calculus as it is usually presented in an elementary course, and to provide the background required for insight into more advanced courses in pure and applied mathematics. The standard elementary calculus sequence is the only specific prerequisite for Chapters 1–5, which deal with real-valued functions. (However, other analysis oriented courses, such as elementary differential equation, also provide useful preparatory experience.) Chapters 6 and 7 require a working knowledge of determinants, matrices and linear transformations, typically available from a first course in linear algebra. Chapter 8 is accessible after completion of Chapters 1–5.״NOTE: This book meets the evaluation criteria set by the Editorial Board of the American Institute of Mathematics in connection with the Institute's Open Textbook Initiative. http://www.aimath.org/textbooks/Real Analysis
http://www.merlot.org/merlot/viewMaterial.htm?id=905913
'This book is the second edition of a graduate level real analysis textbook formerly published by Prentice Hall (Pearson) in 1997. This edition contains many corrections, additions and is in a new format. It is designed to be user-friendly by including historical material, by giving examples to motivate topics before they are developed, and by providing motivation for the proofs of theorems that students often find difficult. The text consists of two volumes, each covering a semester course. More about the goals and use of the book can be found in the Preface. See also the Table of Contents, which lists the topics covered in each volume. ' Real Analysis I
http://www.merlot.org/merlot/viewMaterial.htm?id=620155
This course is designed to introduce the student to the rigorous examination of the real number system and the foundations of calculus. Analysis lies at the heart of the trinity of higher mathematics—algebra, analysis, and topology—because it is where the other two fields meet. This free course may be completed online at any time. See course site for detailed overview and learning outcomes. (Mathematics 241)The Calculus Integral
http://www.merlot.org/merlot/viewMaterial.htm?id=905932
'An elementary introduction to integration theory on the real line. This is at the level of an honor's course in calculus or a first undergraduate level real analysis course. In the end the student should be adequately prepared for a graduate level course in Lebesgue integration. Read the Preface and browse through theTable of Contents. The Method of Lagrange Multipliers
http://www.merlot.org/merlot/viewMaterial.htm?id=826948
This is a supplement to the author’s Introduction to Real Analysis. It 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 Textbook Initiative. It may be copied, modiﬁed, redistributed, translated, and built upon subject to the Creative Commons Attribution-NonCommercial-ShareAlike 3.0 Unported License. A complete instructor’s solution manual is available by email to wtrench@trinity.edu, subject to veriﬁcation of the requestor’s faculty status.Introduction to Real Analysis: http://www.merlot.org/merlot/viewMaterial.htm?id=516759