- Paperback: 106 pages
- Publisher: Dover Publications; 1 edition (May 14 1997)
- Language: English
- ISBN-10: 0486696308
- ISBN-13: 978-0486696300
- Product Dimensions: 21.5 x 13.7 x 0.6 cm
- Shipping Weight: 136 g
- Average Customer Review: 4.5 out of 5 stars See all reviews (2 customer reviews)
-
Amazon Bestsellers Rank:
#40,515 in Books (See Top 100 in Books)
- #1 in Books > Science > Mathematics > Infinity
- #7 in Books > Science > Mathematics > Pure Mathematics > Number Theory
- #11 in Books > Science > Mathematics > Popular & Elementary > Arithmetic
- See Complete Table of Contents
|
||||||||||||||||||
|
||||||||||||||||||
|
||||||||||||||||||
| ||||||||||||
Product Details |
Product Description
Product Description
Elementary-level text by noted Soviet mathematician offers superb introduction to positive-integral elements of theory of continued fractions. Clear, straightforward presentation of the properties of the apparatus, the representation of numbers by continued fractions, and the measure theory of continued fractions. 1964 edition. Prefaces.
Tag this product(What's this?)Think of a tag as a keyword or label you consider is strongly related to this product.
Tags will help all customers organize and find favorite items. |
Customer Reviews
|
Share your thoughts with other customers:
|
||||||||||||||||||||||
|
Most helpful customer reviews
4.0 out of 5 stars
Classic text, however not suitable for a first exposure.,
By A Customer
This review is from: Continued Fractions (Paperback)
This is Khinchin's classic work, translated from Russian in the 1930's. Although the book is rich with insight and information, Khinchin stays one nautical mile ahead of the reader at all times, the book moves at a truly alarming pace, and the book is not suitable to be used ALONE as an introduction to continued fractions. To supplement this book if this is a first exposure to continued fractions, I would recommend C.D. Old's book, which has many more examples which can be worked through until the reader is comfortable with the topic.The book is brilliant and necessary for understanding continued fractions, but can't stand alone without supplemental material unless one is a professional mathematician. Khinchin frequently employs contrapositive proof formats, and there are occasional translation errors from Russian. The errors range from minor (awkward usage) to major (in one place, the translation is "negative" when it should be "non-negative", which confused me for half a day).
0 of 1 people found the following review helpful
5.0 out of 5 stars
I recommend this book to anyone who loves mathematics.,
By anon2001 "anon2001" (Kinross, Western Australia AUSTRALIA) - See all my reviews
This review is from: Continued Fractions (Paperback)
A Y Khinchin was one of the greatest mathematicians of the first half of the twentieth century. His name is is already well-known to students of probability theory along with A N Kolmogorov and others from the host of important theorems, inequalites, constants named after them. He was also famous as a teacher and communicator. Several of the books he wrote are still in print in English translations, published by Dover. Like William Feller and Richard Feynman he combines a complete mastery of his subject with an ability to explain clearly without sacrificing mathematical rigour.In this short book the first two chapters contain a very clear development of the theory of simple continued fractions, culminating in a proof of Lagrange's theorem on the periodicity of the continued fraction representation of quadratic surds. Chapter three presents Khinchins beautiful and original work on the measure theory of continued fractions. The proofs of the theorems in this chapter are also entirely elementary.
Share your thoughts with other customers: Create your own review
Most Helpful Customer Reviews on Amazon.com (beta) Amazon.com:
4.6 out of 5 stars (5 customer reviews) 79 of 79 people found the following review helpful
4.0 out of 5 stars
Classic text, however not suitable for a first exposure.,
By A Customer - Published on Amazon.com
This review is from: Continued Fractions (Paperback)
This is Khinchin's classic work, translated from Russian in the 1930's. Although the book is rich with insight and information, Khinchin stays one nautical mile ahead of the reader at all times, the book moves at a truly alarming pace, and the book is not suitable to be used ALONE as an introduction to continued fractions. To supplement this book if this is a first exposure to continued fractions, I would recommend C.D. Old's book, which has many more examples which can be worked through until the reader is comfortable with the topic.The book is brilliant and necessary for understanding continued fractions, but can't stand alone without supplemental material unless one is a professional mathematician. Khinchin frequently employs contrapositive proof formats, and there are occasional translation errors from Russian. The errors range from minor (awkward usage) to major (in one place, the translation is "negative" when it should be "non-negative", which confused me for half a day). 30 of 32 people found the following review helpful
5.0 out of 5 stars
I recommend this book to anyone who loves mathematics.,
By anon2001 "anon2001" - Published on Amazon.com
This review is from: Continued Fractions (Paperback)
A Y Khinchin was one of the greatest mathematicians of the first half of the twentieth century. His name is is already well-known to students of probability theory along with A N Kolmogorov and others from the host of important theorems, inequalites, constants named after them. He was also famous as a teacher and communicator. Several of the books he wrote are still in print in English translations, published by Dover. Like William Feller and Richard Feynman he combines a complete mastery of his subject with an ability to explain clearly without sacrificing mathematical rigour.In this short book the first two chapters contain a very clear development of the theory of simple continued fractions, culminating in a proof of Lagrange's theorem on the periodicity of the continued fraction representation of quadratic surds. Chapter three presents Khinchins beautiful and original work on the measure theory of continued fractions. The proofs of the theorems in this chapter are also entirely elementary. 9 of 9 people found the following review helpful
4.0 out of 5 stars
A good start!,
By Giorgio Ciociano - Published on Amazon.com
This review is from: Continued Fractions (Paperback)
You won't find many books on such an out-of-fashion theme as continued fractions, will you? Even less on the arithmetic side of the theory. Yes, it's true, many texts on elementary number theory provide a chapter or so about the subject, but if you want to gain a reasonably thorough picture of the field, without dwelling so much on details, you've got to resort to Kinchin's "Continued fractions": readable (no more mathematic needed than basics of analysis), complete (all fundamental conceptual aspects dealt with, included measure theory and implications on irrational numbers), brief (less than a hundred pages with virtually no applications - not even to Pell's equation!) and LIVELY in style.All in all a very good start for understanding this profound mathematical tool. |
|
Listmania!
Look for similar items by category
- Books > Professional & Technical > Professional Science > Mathematics > Mathematical Analysis
- Books > Professional & Technical > Professional Science > Mathematics > Pure Mathematics
- Books > Science > Mathematics > Applied > Probability & Statistics
- Books > Science > Mathematics > Infinity
- Books > Science > Mathematics > Mathematical Analysis
- Books > Science > Mathematics > Popular & Elementary > Arithmetic
- Books > Science > Mathematics > Pure Mathematics > Number Theory
Look for similar items by subject
Feedback
Would you like to update product info or give feedback on images?
|
