**Author**: Murray H. Protter

**Publisher:** Springer Science & Business Media

**ISBN:** 0387974377

**Category : **Mathematics

**Languages : **en

**Pages : **558

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**Book Description**
Many changes have been made in this second edition of A First Course in Real Analysis. The most noticeable is the addition of many problems and the inclusion of answers to most of the odd-numbered exercises. The book's readability has also been improved by the further clarification of many of the proofs, additional explanatory remarks, and clearer notation.

**Author**: Murray H. Protter

**Publisher:** Springer Science & Business Media

**ISBN:** 0387974377

**Category : **Mathematics

**Languages : **en

**Pages : **558

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**Book Description**
Many changes have been made in this second edition of A First Course in Real Analysis. The most noticeable is the addition of many problems and the inclusion of answers to most of the odd-numbered exercises. The book's readability has also been improved by the further clarification of many of the proofs, additional explanatory remarks, and clearer notation.

**Author**: Russell A. Gordon

**Publisher:** Pearson

**ISBN:**
**Category : **Mathematics

**Languages : **en

**Pages : **408

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**Book Description**
This text presents ideas of elementary real analysis, with chapters on real numbers, sequences, limits and continuity, differentiation, integration, infinite series, sequences and series of functions, and point-set topology. Appendices review essential ideas of mathematical logic, sets and functions, and mathematical induction. Students are required to confront formal proofs. Some background in calculus or linear or abstract algebra is assumed. This second edition adds material on functions of bounded variation, convex functions, numerical methods of integration, and metric spaces. There are 1,600 exercises in this edition, an addition of some 120 pages. c. Book News Inc.

**Author**: Murray H. Protter

**Publisher:** Springer Science & Business Media

**ISBN:** 1441987444

**Category : **Mathematics

**Languages : **en

**Pages : **536

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**Book Description**
Many changes have been made in this second edition of A First Course in Real Analysis. The most noticeable is the addition of many problems and the inclusion of answers to most of the odd-numbered exercises. The book's readability has also been improved by the further clarification of many of the proofs, additional explanatory remarks, and clearer notation.

**Author**: E.R. Suryanarayan

**Publisher:** Universities Press

**ISBN:** 9788173714306

**Category : **Mathematical analysis

**Languages : **en

**Pages : **192

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**Book Description**

**Author**: Sterling K. Berberian

**Publisher:** Springer Science & Business Media

**ISBN:** 1441985484

**Category : **Mathematics

**Languages : **en

**Pages : **240

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**Book Description**
Mathematics is the music of science, and real analysis is the Bach of mathematics. There are many other foolish things I could say about the subject of this book, but the foregoing will give the reader an idea of where my heart lies. The present book was written to support a first course in real analysis, normally taken after a year of elementary calculus. Real analysis is, roughly speaking, the modern setting for Calculus, "real" alluding to the field of real numbers that underlies it all. At center stage are functions, defined and taking values in sets of real numbers or in sets (the plane, 3-space, etc.) readily derived from the real numbers; a first course in real analysis traditionally places the emphasis on real-valued functions defined on sets of real numbers. The agenda for the course: (1) start with the axioms for the field ofreal numbers, (2) build, in one semester and with appropriate rigor, the foun dations of calculus (including the "Fundamental Theorem"), and, along the way, (3) develop those skills and attitudes that enable us to continue learning mathematics on our own. Three decades of experience with the exercise have not diminished my astonishment that it can be done.

**Author**: Dr Sathisha A B

**Publisher:** Blue Rose Publishers

**ISBN:** 9356286590

**Category : **Education

**Languages : **en

**Pages : **380

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**Book Description**
This book is suitable for undergraduate and post graduate students ofn pure and applied mathematics. An attempt has been made to present detailed information of basic topics in Real analysis in a simple way so that it is easily understandable to the users. The book is designed as a selfâ€“contained comprehensive text. Each topic is treated in a systematic manner. The book focuses on a Real number system, the sequence of real numbers, the series of real numbers, limits and continuity, differentiation and means value theorems. A large number of theorems and related problems are included for a better understanding of the concepts. It also includes exercise problems at the end of every chapter. The book is useful for students, faculty and those who are actively involved in Research in the areas requiring basic knowledge of Real Analysis.

**Author**: Dorairaj Somasundaram

**Publisher:**
**ISBN:** 9788173190643

**Category : **Mathematics

**Languages : **en

**Pages : **616

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**Book Description**
Intends to serve as a textbook in Real Analysis at the Advanced Calculus level. This book includes topics like Field of real numbers, Foundation of calculus, Compactness, Connectedness, Riemann integration, Fourier series, Calculus of several variables and Multiple integrals are presented systematically with diagrams and illustrations.

**Author**: Donald Yau

**Publisher:** World Scientific

**ISBN:** 9814417858

**Category : **Mathematics

**Languages : **en

**Pages : **206

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**Book Description**
This book is an introductory text on real analysis for undergraduate students. The prerequisite for this book is a solid background in freshman calculus in one variable. The intended audience of this book includes undergraduate mathematics majors and students from other disciplines who use real analysis. Since this book is aimed at students who do not have much prior experience with proofs, the pace is slower in earlier chapters than in later chapters. There are hundreds of exercises, and hints for some of them are included.

**Author**: J. C. Burkill

**Publisher:** Cambridge University Press

**ISBN:** 9780521294683

**Category : **Mathematics

**Languages : **en

**Pages : **200

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**Book Description**
This course is intended for students who have acquired a working knowledge of the calculus and are ready for a more systematic treatment which also brings in other limiting processes, such as the summation of infinite series and the expansion of trigonometric functions as power series.

**Author**: Christopher Heil

**Publisher:** Springer

**ISBN:** 3030269035

**Category : **Mathematics

**Languages : **en

**Pages : **386

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**Book Description**
Developed over years of classroom use, this textbook provides a clear and accessible approach to real analysis. This modern interpretation is based on the authorâ€™s lecture notes and has been meticulously tailored to motivate students and inspire readers to explore the material, and to continue exploring even after they have finished the book. The definitions, theorems, and proofs contained within are presented with mathematical rigor, but conveyed in an accessible manner and with language and motivation meant for students who have not taken a previous course on this subject. The text covers all of the topics essential for an introductory course, including Lebesgue measure, measurable functions, Lebesgue integrals, differentiation, absolute continuity, Banach and Hilbert spaces, and more. Throughout each chapter, challenging exercises are presented, and the end of each section includes additional problems. Such an inclusive approach creates an abundance of opportunities for readers to develop their understanding, and aids instructors as they plan their coursework. Additional resources are available online, including expanded chapters, enrichment exercises, a detailed course outline, and much more. Introduction to Real Analysis is intended for first-year graduate students taking a first course in real analysis, as well as for instructors seeking detailed lecture material with structure and accessibility in mind. Additionally, its content is appropriate for Ph.D. students in any scientific or engineering discipline who have taken a standard upper-level undergraduate real analysis course.