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An Introduction to Analysis (International Series in Mathematics), by Gerald G. Bilodeau, Paul R Thie, G. E. Keough
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Part of the Jones and Bartlett International Series in Advanced Mathematics Completely revised and update, the second edition of An Introduction to Analysis presents a concise and sharply focused introdution to the basic concepts of analysis from the development of the real numbers through uniform convergences of a sequence of functions, and includes supplementary material on the calculus of functions of several variables and differential equations. This student-friendly text maintains a cautious and deliberate pace, and examples and figures are used extensively to assist the reader in understanding the concepts and then applying them. Students will become actively engaged in learning process with a broad and comprehensive collection of problems found at the end of each section.
- Sales Rank: #843549 in Books
- Brand: Brand: Jones n Bartlett Learning
- Published on: 2009-08-11
- Original language: English
- Number of items: 1
- Dimensions: 9.20" h x .90" w x 7.60" l, 1.65 pounds
- Binding: Hardcover
- 333 pages
- Used Book in Good Condition
Most helpful customer reviews
5 of 5 people found the following review helpful.
Wonderfully written; Keep reading below to understand why...
By Baze
I have looked through several analysis books, but as an undergraduate student in mathematics, I found this textbook to be the most appealing. Here is why I'd give this book 5 stars:
(1) The straight-forwardness of the text.
Most undergraduate math students (it's a very large majority) find analysis to be one of the most challenging courses in the undergraduate mathematics curriculum. Building upon calculus, discrete mathematics, etc., the course delves into a lot of abstract and analytical material most math students have always taken for granted. The point is: it's a tough course, with incredibly dry reading. However, the authors of this book, while keeping the same rigor and thoroughness that the subject demands, write the book in a very reader-friendly manner so that with ample time and patience, students reading the book can fully grasp the material at hand. In classes like college algebra or even trigonometry, such a manner may not always be necessary as reasonably intelligent students can figure out a lot of the material; however, in a course like analysis, a straight-forward language goes a very, very long ways.
(2) Examples.
I have read other analysis books- some published by Springer, which publishes a series titled "Undergraduate Texts in Mathematics"- and unfortunately, most of them do not feature too many examples, thus leaving the student wondering if he has understood the material sufficiently. A little application can really help keep the confidence of the reader, and the authors of this book litter each section with an ample amount of examples.
(3) The provision of- in a very cautious amount- of answers and solutions in the back.
Again, unlike other analysis books, this text provides solutions to some problems in the book of the book. However, the solutions are sparse, so as to help the reader understand the solutions to similar problems in the section, but to protect the reader from the temptation of looking in the back for all the assigned math problems. Even well-meaning students fall in the trap of depending on the answers sections, and this book finds the great balance of providing just the amount of answers in the back.
Honestly, if your intention was to learn analysis, whether part of a class or on your own, you will find that this book will provide you with more tools than obstacles. There are, unfortunately, many awkwardly written and confusing math books that exist; fortunately, this book is not one of them.
7 of 8 people found the following review helpful.
An excellent non-topological approach for undergraduates
By David P. Lang, Ph.D.(Math), Ph.D.(Phil)
In this textbook the authors have provided an important classroom tool for teaching undergraduates introductory real analysis. Without sacrificing rigor, they treat all the classical topics and principal theorems (convergence of sequences, limits and continuity of functions, differentiation, integration) in a lucid manner by exploiting the elementary machinery of sequences. This approach, free from the technical abstractions of general topology, makes the book much more readable for the average junior/senior level student majoring or minoring in mathematics. I have used the book for a one-semester course, and I don't think I would revert to the standard topological method for ordinary students in a first course in real analysis. Some of the main results can be re-derived as corollaries in a follow-up course on point-set topology for students interested in attending graduate school.
3 of 3 people found the following review helpful.
Beautiful book!
By Marisa
I have taught this book at least five times. I use it to teach non-graduate track math majors (many are math-secondary math ed majors). I absolutely love working with this book. Since it is currently out of print I have regularly sought the author's permission for the students to make copies if they can't find it used. I can't wait to see it printed again. It is a joy for me to work the material this way.
It is very thorough math, while all the way allowing for almost taking the students by the hand through their first analysis proofs class. The exercises are a real gem. I spend about 1/3 of the class time working recitation-like on exercises.
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