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An Interactive Introduction to Mathematical Analysis, by Jonathan Lewin
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This book provides a rigorous course in the calculus of functions of a real variable. Its gentle approach, particularly in its early chapters, makes it especially suitable for students who are not headed for graduate school. For those who are, this book gives an opportunity to engage in a penetrating study of real analysis. The companion onscreen version of this text contains hundreds of links to alternative approaches, more complete explanations and solutions to exercises; links that make it more friendly than any printed book could be. In addition, there are links to a wealth of optional material that an instructor can select for a more advanced course, and that students can use as a reference long after their first course has ended. The CD provides exercises that can be worked interactively with the help of the computer algebra systems that are bundled with Scientific Notebook.
- Sales Rank: #1981585 in Books
- Published on: 2014-01-23
- Released on: 2014-01-23
- Original language: English
- Number of items: 1
- Dimensions: 10.12" h x 1.06" w x 7.01" l, 1.99 pounds
- Binding: Paperback
- 526 pages
Review
"...the CD-ROM that accompanies this book provides hints to problems and alternative approaches to the material...Examples of alternatives provided on the disc include continuity in metric spaces, and the Riemann-Stieltjes integral. The CD-ROM program is written in Scientific Workplace 4.0 and can be viewed using the free download of Scientific Viewer 4.0, running under Windows. Recommended." Choice
About the Author
Lewin of Kennesaw State University, Georgia
Most helpful customer reviews
9 of 11 people found the following review helpful.
Masterpiece for the analysis neophyte
By James Buchanan
Well, what can I say. I enjoyed this book much more than I normally enjoy mathematics books, and I do have a healthy liking for mathematics.
I believe this is Professor Lewin's life's work, and it shows. Mathematical analysis is not an easy subject, and Lewin has made a genuine effort to make this subject accessible to all students. That is not to say this book is "for idiots/dummies," but for the intelligent mathematical analysis neophyte looking for a book to ease him into higher mathematics. The writing style is informal and straight to the point.
So what can you expect to learn from this book? If you don't know what mathematical analysis is at all, you'll read about that too (as well as the subject matter itself!) The examples and problems are wonderful. They are at just the right level for an engaging introduction that will give you a place to stand to take further courses. You can understand and enjoy this book with a modest mathematical background (high school only, and not necessarily any calculus courses!) and average grades. You will need to go slowly and think, but Lewin masterfully guides you through.
This book is a welcome change from enormous encyclopedic works that present page after page of mind-bending symbols and leave it as an exercise for the reader to figure out what it all means. The authors of these wretched books think a quick paragraph is just fine. I disagree, and so does Lewin. This book is a pleasure to *read*, and you will learn about mathematical analysis, too! This book can serve as a good introduction to higher mathematics as well as calculus. Lewin provides early instruction in the "vocabulary of mathematics" and proofs before getting into the subject matter of the book.
Lewin makes mathematical analysis accessible for everyone, even those with a modest mathematical background, and even makes it a pleasure.
3 of 11 people found the following review helpful.
Many examples with a bit too much talk
By numericalsciences
This is actually an excellent text as a supplement for students of advanced calculus. There are many simplified examples and a lot of explaination, perhaps too much. The author starts with logic, which is good since most students have difficulty with understanding the contrapositive, converse, and proof by contradiction. He gives a lot of information on the subjects that are covered (there are a good number of subjects not covered) and talks (perhaps rambles) a lot on these subjects. However if you could dig through the jargon and appreciate a bunch of nice examples and fundamentals this is a book for you. I didn't look at the CD.
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