Mathematicians and laymen alike have always been fascinated by simple numbers. This book is an introduction to a mythical book which might go under the name The Book of the Integers, that has on page n all of the interesting properties of the integer n. This introductory book stems from the collection of many years' casual accumulation of numerical facts, especially from the theory of numbers. No deep or profound mathematical background is required to understand the material, however much of it is sufficient out of the mainstream that even professional mathematicians may be unfamiliar with the results. There are many references to the literature to enable the reader to track down further information.
FREE Two-Day Shipping for students on millions of items. Learn more |
| ||||||||||||
Book Description
Editorial Reviews
Review
'A joy to read and ponder, this book is a welcome addition to the body of mathematical literature. It belongs in every mathematical library.' Journal of Recreational Mathematics
Book Description
Mathematicians and laymen alike have always been fascinated by simple numbers. This book is an introduction to a mythical book which might go under the name The Book of the Integers, a mythical book that has on page n all of the interesting properties of the integer n. The material is unusual sufficient to surprise the professional but simple enough for laymen to understand.
Product Details
Would you like to update product info or give feedback on images?
|
More About the Author
Discover books, learn about writers, read author blogs, and more.
Customer Reviews
|
Share your thoughts with other customers:
|
||||||||||||||||||||||
|
Most Helpful Customer Reviews
2 of 2 people found the following review helpful:
4.0 out of 5 stars
No bait needed for this lure!,
By Charles Ashbacher (Marion, Iowa United States) - See all my reviews (TOP 500 REVIEWER) (VINE VOICE) (HALL OF FAME REVIEWER)
This review is from: Lure of the Integers (MAA Spectrum) (Paperback)
What a perfect title! All mathematicians, independent of their specialty or level of expertise, are to some extent followers of the philosophy of Leopold Kronecker. As you may recall, he authored the famous phrase, "God made the integers, all else is the work of man." Hooked a bit more than most, the author presents his extensive collection of interesting facts about the positive integers.The properties vary widely in difficulty. While some require an extensive background, the majority can be understood by anyone with a generalized understanding of mathematics. References to each fact are given, and there is some internal cross-referencing. The Journal of Recreational Mathematics is well represented and proofs of any kind are rarely given. The majority of the material concerns the integers less than 100. A joy to read and ponder, this book is a welcome addition to the body of mathematical literature. It belongs in every mathematical library. Published in Journal of Recreational Mathematics, reprinted with permission.
Share your thoughts with other customers: Create your own review
|
|
Inside This Book
(learn more)
First Sentence:
If one cuts a polygon into pieces with straight line cuts and reassembles the pieces into the same or another polygon, it seems clear the original polygon and the resulting polygon have the same area. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
pairwise distinct squares, truncatable primes, distinct unit fractions, digital roots, composite integers, class number one, tenth problem, congruence properties, two prime factors, squared square, integral polynomial, consecutive integers, prime greater, square identities, triangular numbers, elementary number theory, primitive roots, distinct primes, diophantine equations, quadratic fields, perfect numbers, sufficiently large integer Key Phrases - Capitalized Phrases (CAPs): (learn more)
New York, London Math, Acta Arith, Oxford Univ, Academic Press, Few Diophantine Equations, Pure Math, Hilbert's List, History of the Theory of Numbers, Ram Murty, Ramanujan Revisited, Some Formulae Containing, Sums of Cubes, Survey of Geometry, American Elsevier, Annals of Math, David Hilbert, Norsk Mat, Okayama Univ, Scripta Math, Selected Mathematical Papers, Sum of Consecutive Squares New!
Books on Related Topics | Concordance | Text Stats Browse Sample Pages:
Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
If one cuts a polygon into pieces with straight line cuts and reassembles the pieces into the same or another polygon, it seems clear the original polygon and the resulting polygon have the same area. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
pairwise distinct squares, truncatable primes, distinct unit fractions, digital roots, composite integers, class number one, tenth problem, congruence properties, two prime factors, squared square, integral polynomial, consecutive integers, prime greater, square identities, triangular numbers, elementary number theory, primitive roots, distinct primes, diophantine equations, quadratic fields, perfect numbers, sufficiently large integer Key Phrases - Capitalized Phrases (CAPs): (learn more)
New York, London Math, Acta Arith, Oxford Univ, Academic Press, Few Diophantine Equations, Pure Math, Hilbert's List, History of the Theory of Numbers, Ram Murty, Ramanujan Revisited, Some Formulae Containing, Sums of Cubes, Survey of Geometry, American Elsevier, Annals of Math, David Hilbert, Norsk Mat, Okayama Univ, Scripta Math, Selected Mathematical Papers, Sum of Consecutive Squares New!
Books on Related Topics | Concordance | Text Stats Browse Sample Pages:
Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
Citations (learn more)
This book cites 29
books:
See all 29 books this book cites
52
books
cite this book:
See all 52 books citing this book
- Number Theory and Applications (NATO Science Series C: (closed)) by Richard A. Mollin on 7 pages
- An Introduction to the Theory of Numbers (Oxford Science Publications) by G. H. Hardy on 5 pages
- Survey of Geometry by Howard Eves on 4 pages
- History of the Theory of Numbers (AMS Chelsea Publishing) Volumes I; II; III. THREE VOLUME SET (Vol. 2) by Leonard Eugene Dickson on 4 pages
- An Introduction to Number Theory by Harold Stark on page 227, page 261, and page 289
See all 29 books this book cites
- In Code: A Mathematical Journey by Sarah Flannery on page 75, and Back Matter
- All the Math that's Fit to Print: Articles from The Guardian (Spectrum) by Keith Devlin in Front Matter
- Numerology: Or, What Pythagoras Wrought (Spectrum) by Underwood Dudley in Front Matter
- Cryptology (Spectrum) by Albrecht Beutelspacher in Front Matter
- 777 Mathematical Conversation Starters (Spectrum) by John de Pillis in Front Matter
See all 52 books citing this book
Books on Related Topics
(learn more)
|
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. |
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
Customer Discussions
|
This product's forum
Active discussions in related forums
Search Customer Discussions
|
Related forums
|
