Download Yet Another Introduction to Analysis, by Victor Bryant
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Yet Another Introduction to Analysis, by Victor Bryant
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Mathematics education in schools has seen a revolution in recent years. Students everywhere expect the subject to be well-motivated, relevant and practical. When such students reach higher education, the traditional development of analysis, often divorced from the calculus they learned at school, seems highly inappropriate. Shouldn't every step in a first course in analysis arise naturally from the student's experience of functions and calculus in school? And shouldn't such a course take every opportunity to endorse and extend the student's basic knowledge of functions? In Yet Another Introduction to Analysis, the author steers a simple and well-motivated path through the central ideas of real analysis. Each concept is introduced only after its need has become clear and after it has already been used informally. Wherever appropriate, new ideas are related to common topics in math curricula and are used to extend the reader's understanding of those topics. In this book the readers are led carefully through every step in such a way that they will soon be predicting the next step for themselves. In this way students will not only understand analysis, but also enjoy it.
- Sales Rank: #570872 in Books
- Brand: Brand: Cambridge University Press
- Published on: 1990-09-28
- Original language: English
- Number of items: 1
- Dimensions: 8.98" h x .67" w x 5.98" l, .98 pounds
- Binding: Paperback
- 300 pages
- Used Book in Good Condition
Review
"Bryant's style is extremely leisurely, copiously illustrated, often intuitively appealing, chatty and unintimidating, in contrast to other treatments of similar material..." Choice
From the Back Cover
Mathematics education in schools has seen a revolution in recent years. In this book, the author steers a simple and well-motivated path through the central ideas of real analysis. Each concept is introduced only after its need has become clear and after it has already been used informally.
About the Author
Bryant is Lecturer, Department of Pure Mathematics, University of Sheffield.
Most helpful customer reviews
8 of 8 people found the following review helpful.
Excellent introduction to analysis, especially for self-study
By P
I found this book an excellent introduction to real analysis. The math courses I took during my US undergraduate engineering degree (your standard Calc I - Calc III) focused more on computation than theory. This book gave me a deeper understanding of the real number line, sequences and series, functions, differentiation, and integration, as well as some much-needed practice in writing proofs.
I was a bit worried starting the book that it would be too difficult, but fortunately, the book started at just the right level for me and continued at a good pace. The book is written in a friendly and conversational style and all the concepts are well-explained, with lots of graphs to make things clear.
The exercises often have you proving some key theory that is referred to later on, which gives a strong motivation to work through all the exercises. For someone with little experience writing proofs like myself, the exercises were not overly difficult, but provided a good challenge. The book provides full, worked-out solutions to all the exercises, which makes it great for self-study (I used the book to get some background on analysis over summer before I started my master's).
Overall, I found this to be an excellent book. I highly recommend it for self-study or as a supplement to a course.
20 of 20 people found the following review helpful.
Great Introduction
By James M. Cargal
This is a text for Real Analysis at the Junior Level (American university level). It goes to extreme lengths to make analysis understandable to people who have no prior exposure. The organization is good. Completeness is introduced early as (the "piggy in the middle"). Proofs are written in detail with fill-in-the-blank spots to force the reader to follow the argument. It has good exercises making it an easy book to teach out of. Excellent for the absolute beginner. Good candidate for the classroom.
18 of 26 people found the following review helpful.
Analysis Lite
By Aaron Rutledge
Unlike many of the other reviewers of this work, I found Dr. Bryant's informal writing style a hassle. While I can appreciate the conversational approach, I found his writing to be very lacking in detail and too casual to yield in-dpeth knowledge. I suppose this work was intended to introduce Analysis in a non-scary, casual style, but so much substance gets left out because of it. I've always been fond of rigor, and I deperately need rigor when learning higher math. Some people equate rigor with obfuscation, but I have found that you can have rigor wth clarity. I found Kosmala's "Advanced Calculus: A Friendly Approach" (now called "A Friendly Introduction to Analysis") to be a much more rigorous and complete introduction that is also very "friendly" indeed. Although this book will serve as a "breezy" (and somewhat shallow) introduction to Analysis I would recommend Kosmala's work over this one to anyone who wants a complete and in depth treatment of the subject that also gently guides the first time student through it.
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