**Author**: Murray H. Protter

**Publisher:** Springer Science & Business Media

**ISBN:** 1441987444

**Category : **Mathematics

**Languages : **en

**Pages : **536

Get Book

**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

View

**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 : **187

View

**Book Description**

**Author**: Sterling K. Berberian

**Publisher:** Springer Science & Business Media

**ISBN:** 1441985484

**Category : **Mathematics

**Languages : **en

**Pages : **240

View

**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**: Donald Yau

**Publisher:** World Scientific

**ISBN:** 9814417858

**Category : **Mathematics

**Languages : **en

**Pages : **195

View

**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**: Dennis G. Zill

**Publisher:** Jones & Bartlett Learning

**ISBN:** 9780763746582

**Category : **Computers

**Languages : **en

**Pages : **512

View

**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.

**Author**: Dennis Zill

**Publisher:** Jones & Bartlett Learning

**ISBN:** 0763757721

**Category : **Mathematics

**Languages : **en

**Pages : **405

View

**Book Description**
The new Second Edition of A First Course in Complex Analysis with Applications is a truly accessible introduction to the fundamental principles and applications of complex analysis. Designed for the undergraduate student with a calculus background but no prior experience with complex variables, this text discusses theory of the most relevant mathematical topics in a student-friendly manor. With Zill's clear and straightforward writing style, concepts are introduced through numerous examples and clear illustrations. Students are guided and supported through numerous proofs providing them with a higher level of mathematical insight and maturity. Each chapter contains a separate section on the applications of complex variables, providing students with the opportunity to develop a practical and clear understanding of complex analysis.

**Author**: George Pedrick

**Publisher:** Springer Science & Business Media

**ISBN:** 1441985549

**Category : **Mathematics

**Languages : **en

**Pages : **279

View

**Book Description**
This text on advanced calculus discusses such topics as number systems, the extreme value problem, continuous functions, differentiation, integration and infinite series. The reader will find the focus of attention shifted from the learning and applying of computational techniques to careful reasoning from hypothesis to conclusion. The book is intended both for a terminal course and as preparation for more advanced studies in mathematics, science, engineering and computation.

**Author**: Anthony Ralston

**Publisher:** Courier Corporation

**ISBN:** 9780486414546

**Category : **Mathematics

**Languages : **en

**Pages : **606

View

**Book Description**
Outstanding text, oriented toward computer solutions, stresses errors in methods and computational efficiency. Problems — some strictly mathematical, others requiring a computer — appear at the end of each chapter.

**Author**: Sudhir R. Ghorpade

**Publisher:** Springer Science & Business Media

**ISBN:** 0387364250

**Category : **Mathematics

**Languages : **en

**Pages : **432

View

**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**: Ajit Kumar

**Publisher:** CRC Press

**ISBN:** 148221637X

**Category : **Mathematics

**Languages : **en

**Pages : **322

View

**Book Description**
Based on the authors’ combined 35 years of experience in teaching, A Basic Course in Real Analysis introduces students to the aspects of real analysis in a friendly way. The authors offer insights into the way a typical mathematician works observing patterns, conducting experiments by means of looking at or creating examples, trying to understand the underlying principles, and coming up with guesses or conjectures and then proving them rigorously based on his or her explorations. With more than 100 pictures, the book creates interest in real analysis by encouraging students to think geometrically. Each difficult proof is prefaced by a strategy and explanation of how the strategy is translated into rigorous and precise proofs. The authors then explain the mystery and role of inequalities in analysis to train students to arrive at estimates that will be useful for proofs. They highlight the role of the least upper bound property of real numbers, which underlies all crucial results in real analysis. In addition, the book demonstrates analysis as a qualitative as well as quantitative study of functions, exposing students to arguments that fall under hard analysis. Although there are many books available on this subject, students often find it difficult to learn the essence of analysis on their own or after going through a course on real analysis. Written in a conversational tone, this book explains the hows and whys of real analysis and provides guidance that makes readers think at every stage.