**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**: 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**: 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**: Murray H. Protter

**Publisher:**
**ISBN:**
**Category : **Mathematical analysis

**Languages : **en

**Pages : **535

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**Book Description**

**Author**: David Alexander Brannan

**Publisher:** Cambridge University Press

**ISBN:** 1139458957

**Category : **Mathematics

**Languages : **en

**Pages : **
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**Book Description**
Mathematical Analysis (often called Advanced Calculus) is generally found by students to be one of their hardest courses in Mathematics. This text uses the so-called sequential approach to continuity, differentiability and integration to make it easier to understand the subject.Topics that are generally glossed over in the standard Calculus courses are given careful study here. For example, what exactly is a 'continuous' function? And how exactly can one give a careful definition of 'integral'? The latter question is often one of the mysterious points in a Calculus course - and it is quite difficult to give a rigorous treatment of integration! The text has a large number of diagrams and helpful margin notes; and uses many graded examples and exercises, often with complete solutions, to guide students through the tricky points. It is suitable for self-study or use in parallel with a standard university course on the subject.

**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**: E.R. Suryanarayan

**Publisher:** Universities Press

**ISBN:** 9788173714306

**Category : **Mathematical analysis

**Languages : **en

**Pages : **187

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**Book Description**

**Author**: Donald Yau

**Publisher:** World Scientific

**ISBN:** 9814417858

**Category : **Mathematics

**Languages : **en

**Pages : **195

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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 : **186

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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**: Sudhir R. Ghorpade

**Publisher:** Springer

**ISBN:** 3030014002

**Category : **Mathematics

**Languages : **en

**Pages : **538

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**Book Description**
This book provides a self-contained and rigorous introduction to calculus of functions of one variable, in a presentation which emphasizes the structural development of calculus. Throughout, the authors highlight the fact that calculus provides a firm foundation to concepts and results that are generally encountered in high school and accepted on faith; for example, the classical result that the ratio of circumference to diameter is the same for all circles. A number of topics are treated here in considerable detail that may be inadequately covered in calculus courses and glossed over in real analysis courses.

**Author**: Dennis G. Zill

**Publisher:** Jones & Bartlett Learning

**ISBN:** 9780763746582

**Category : **Computers

**Languages : **en

**Pages : **512

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**Book Description**
A First Course In Complex Analysis With Applications Limits Theoretical Coverage To Only What Is Necessary, And Conveys It In A Student-Friendly Style. Its Aim Is To Introduce The Basic Principles And Applications Of Complex Analysis To Undergraduates Who Have No Prior Knowledge Of This Subject. Contents Of The Book Include The Complex Number System, Complex Functions And Sequences, As Well As Real Integrals; In Addition To Other Concepts Of Calculus, And The Functions Of A Complex Variable. This Text Is Written For Junior-Level Undergraduate Students Who Are Majoring In Math, Physics, Computer Science, And Electrical Engineering.