 Trade In this Item for up to £11.50
Get an extra £5 when you trade in books worth £10 or more until June 30, 2012. Trade in Introduction to Real Analysis for an Amazon.co.uk gift card of up to £11.50, which you can then spend on millions of items across the site. Trade-in values may vary (terms apply). Find more products eligible for trade-in.
|
|
There is a newer edition of this item:
|
Frequently Bought Together
Product details
|
More About the Author
Product Description
Product Description
In recent years, mathematics has become valuable in many areas, including economics and management science as well as the physical sciences, engineering and computer science. Therefore, this book provides the fundamental concepts and techniques of real analysis for readers in all of these areas. It helps one develop the ability to think deductively, analyze mathematical situations and extend ideas to a new context. Like the first two editions, this edition maintains the same spirit and user–friendly approach with some streamlined arguments, a few new examples, rearranged topics, and a new chapter on the Generalized Riemann Integral.
Inside This Book
(Learn More)
First Sentence
In this initial chapter we will present the background needed for the study of real analysis. Read the first page
Front Cover | Copyright | Table of Contents | Excerpt | Index | Back Cover
In this initial chapter we will present the background needed for the study of real analysis. Read the first page
Explore More
Concordance
Browse Sample PagesConcordance
Front Cover | Copyright | Table of Contents | Excerpt | Index | Back Cover
Tags Customers Associate with This Product(What's this?)Click on a tag to find related items, discussions, and people.
|
Sell a Digital Version of This Book in the Kindle Store
If you are a publisher or author and hold the digital rights to a book, you can sell a digital version of it in our Kindle Store.
Learn more
What Other Items Do Customers Buy After Viewing This Item?
Customer Reviews
Most Helpful Customer Reviews
4 of 4 people found the following review helpful
Format:Hardcover
This book was recommended to me to complement my course, and I realised why after reading it. It covers a whole range of the subject of analysis and was an invaluable beginners guide. It is well written and goes into some depth in places, meaning that it is not just for beginners. A valuable companion to a pure mathematics course.
1 of 1 people found the following review helpful
Format:Hardcover
A great textbook for first year Analysis at university - very rigorous and well written. But don't pay more than £40 for it.
Most Helpful Customer Reviews on Amazon.com (beta)
Amazon.com:
35 reviews
22 of 24 people found the following review helpful
A good instructor and a will to work the examples and proofs needed
29 April 2007
Format:Hardcover
At first, I hated this textbook. New to Analysis, I couldn't make any sense of it. But, I was trying do accomplish too much on my own without the help of the instructor. This textbook is terrible for self-study. A poor course instructor (you know the kind - the ones who read the book to you) can make learning Analysis a singularly miserable experience. However, if you're lucky enough to have an instructor that's willing to supplement and clarify the material in class (i.e. get you over the hump), you'll find this textbook quite adequate and worthy of keeping for reference. To get the most out of it, however, you'll need to be prepared to work much harder than you have in your previous math courses.
I know that there are two camps of reviewers of analysis books. There are those who complain that a text is too terse and those who say it's too wordy. This book finds a nice balance. It can be very frustrating at times...but, such is analysis. (Note that the authors warn you of this in the first paragraph of the Preface.) Mastery of the first two chapters is essential for one to succeed in the rest of the book.
I have given this textbook three stars because it let's the reader down on some topics. A couple of the proofs (L'Hospital's Rule is an example) are a bit too sparse in explanation for the beginner who must fill in the missing steps as part of his study. Also, a few topics are more notationally cumbersome than necessary, requiring the reader to be very adept with indexed summations. The chapter on Riemann integration is understandable, but falls short of most other texts in this area. (In my class, we used a different text for the Riemann Integral.)
If this is the required textbook for your upcoming Analysis course, I recommend that you read every section VERY carefully many, many times. Physically work through the examples and given proofs with pencil and paper. Many times the example proofs provide a model for the student that he/she can apply to the problems. If you still find it tough, make a separate notebook in which to write the definitions, thereoms, and even examples. Try diagramming the definitions and theroems, separating the conditions from the conclusions that they imply (don't forget what "if and only if" means).
The authors have included some very helpful appendices that should be treated with the same careful study as the rest of the book. Analysis is not a subject where one can pick up on a proceedure and calculate an outcome as one might do in Algebra or regular Calculus. One must learn to know and apply the definitions and thereoms logically. Well-known problem solving strategies still work here, but the method in which a student may be accustomed is entirely different (see How to Solve It: A New Aspect of Mathematical Method (Princeton Science Library) or, for proofs How to Prove It: A Structured Approach). Above all, rise to the challenge and don't get discouraged. All but the most gifted will find this subject difficult. Find help if you need it.
I recommend reading the linked books above before entering into analysis. Another really good book in the subject that will immensely help you is Yet Another Introduction to Analysis.
I know that there are two camps of reviewers of analysis books. There are those who complain that a text is too terse and those who say it's too wordy. This book finds a nice balance. It can be very frustrating at times...but, such is analysis. (Note that the authors warn you of this in the first paragraph of the Preface.) Mastery of the first two chapters is essential for one to succeed in the rest of the book.
I have given this textbook three stars because it let's the reader down on some topics. A couple of the proofs (L'Hospital's Rule is an example) are a bit too sparse in explanation for the beginner who must fill in the missing steps as part of his study. Also, a few topics are more notationally cumbersome than necessary, requiring the reader to be very adept with indexed summations. The chapter on Riemann integration is understandable, but falls short of most other texts in this area. (In my class, we used a different text for the Riemann Integral.)
If this is the required textbook for your upcoming Analysis course, I recommend that you read every section VERY carefully many, many times. Physically work through the examples and given proofs with pencil and paper. Many times the example proofs provide a model for the student that he/she can apply to the problems. If you still find it tough, make a separate notebook in which to write the definitions, thereoms, and even examples. Try diagramming the definitions and theroems, separating the conditions from the conclusions that they imply (don't forget what "if and only if" means).
The authors have included some very helpful appendices that should be treated with the same careful study as the rest of the book. Analysis is not a subject where one can pick up on a proceedure and calculate an outcome as one might do in Algebra or regular Calculus. One must learn to know and apply the definitions and thereoms logically. Well-known problem solving strategies still work here, but the method in which a student may be accustomed is entirely different (see How to Solve It: A New Aspect of Mathematical Method (Princeton Science Library) or, for proofs How to Prove It: A Structured Approach). Above all, rise to the challenge and don't get discouraged. All but the most gifted will find this subject difficult. Find help if you need it.
I recommend reading the linked books above before entering into analysis. Another really good book in the subject that will immensely help you is Yet Another Introduction to Analysis.
16 of 17 people found the following review helpful
Its a Solid Introduction
1 Aug 2007
Format:Hardcover
Honestly this is a 4 star book, but like many of the advanced math textbooks the average score is too low, because of reviewers who clearly did not understand what they were getting into.
Probably the best piece of advice with regards to advanced math books like this is given in the "Preface to the Student" in Sheldon Axler's Linear Algebra Done Right, he states: "You cannot expect to read mathematics the way you read a novel. If you zip through a page in less than an hour, you are probably going too fast."
If you study from this book from that standpoint, you will get a lot out of it. But its a serious commitment.
Probably the best piece of advice with regards to advanced math books like this is given in the "Preface to the Student" in Sheldon Axler's Linear Algebra Done Right, he states: "You cannot expect to read mathematics the way you read a novel. If you zip through a page in less than an hour, you are probably going too fast."
If you study from this book from that standpoint, you will get a lot out of it. But its a serious commitment.
13 of 14 people found the following review helpful
Great Book
4 Oct 2007
Format:Hardcover
I'm using this book for my real analysis course at University of Illinois and I love it. Most readers seem to be upset that some of the material isn't presented as easily as it could be, but this book is an introduction to real analysis, not to math. This is not a good book for people who have never written or read formal proofs or who are not familiar with concepts like the triangle inequality. This is a good book if you are familiar with formal mathematics and have interest in real analysis.
Were these reviews helpful?
Let us know
Listmania!
Look for similar items by category
- Books > Science & Nature > Engineering & Technology > Education > Higher Education
- Books > Science & Nature > Mathematics > Applied Mathematics > Mathematics for Scientists & Engineers
- Books > Science & Nature > Mathematics > Calculus & Mathematical Analysis > Real Analysis
- Books > Science & Nature > Mathematics > Education > Higher Education
- Books > Science & Nature > Popular Science > Maths
- Books > Scientific, Technical & Medical > Mathematics > Applied Mathematics > Scientific & Engineering Mathematics
- Books > Scientific, Technical & Medical > Mathematics > Calculus & Mathematical Analysis > Real Analysis
Look for similar items by subject
Feedback
- Would you like to update product info or give feedback on images?
- I am the Author, and I want to comment on my book.
- I am the Publisher, and I want to comment on this book.
|
