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| Author | : A.W.F. Edwards |
| Publisher | : Courier Dover Publications |
| Total Pages | : 227 |
| Release | : 2019-06-12 |
| Genre | : Mathematics |
| ISBN | : 048684076X |
This survey explores the history of the arithmetical triangle, from its roots in Pythagorean arithmetic, Hindu combinatorics, and Arabic algebra to its influence on Newton and Leibniz as well as modern-day mathematicians.
| Author | : Thomas M. Green |
| Publisher | : Dale Seymour Publication |
| Total Pages | : 278 |
| Release | : 1986-01 |
| Genre | : Mathematics |
| ISBN | : 9780866513067 |
Pascal's triangle and where to find it - Number patterns within Pascal's triangle - Figurate numbers and Pascal's triangle - Higher dimensional figurate numbers - Counting problems.
| Author | : Tony Colledge |
| Publisher | : |
| Total Pages | : 0 |
| Release | : 1992 |
| Genre | : Juvenile Nonfiction |
| ISBN | : 9780906212844 |
Starting with the simple rule which generates the numbers in Pascal's Triangle, it is remarkable how many other patterns and properties there are to discover. Any teacher who would like to convey something of the wonder of mathematics to a class at almost any level would find little better than the material contained in this book. It offers potential for investigations and topics at levels from primary up to Sixth Form.
| Author | : Vladimir Andreevich Uspenskiĭ |
| Publisher | : |
| Total Pages | : 94 |
| Release | : 1976 |
| Genre | : Mechanics |
| ISBN | : |
| Author | : Thomas M. Green |
| Publisher | : CreateSpace |
| Total Pages | : 176 |
| Release | : 2015-07-25 |
| Genre | : |
| ISBN | : 9781514677094 |
Prepare to be intrigued by the many facets of the properties of the amazing array of numbers known as Pascal's Triangle and its many relatives. Some of the topics you will find: Polytopes Simplexes and the Simplex Triangle Tetrahedral, and higher dimensional figurate numbers Duplexes and The Duplex Triangle Geometric Duplication - Cubes and Hypercubes Vandermonde's Identity for the Duplex Triangle and the Triplex Triangle Euler's formula for Simplexes and Duplexes Recurrent Sequences in Pascal's Triangle and its Relatives Including the Fibonacci, Pell and Jacobsthal Sequences Pythagorean Triples - Related to the Sequences Listed Above Properties Involving String Products and more. There is a comprehensive index that will allow readers to easily search for topics of their interest. One goal is to provide a vehicle to the discovery of some higher mathematics related to higher dimensional geometric figures, at an entry level for the young beginning researcher by including many exercises that ask for verification of a pattern by testing specific cases and conjecturing a generalization of the pattern. Another major goal was to make available source materials for mathematics teachers to use in their classes. Included are many topics suitable for introducing students, at the pre-college level, to the sense of satisfaction one receives while exploring and discovering significant parts of advanced mathematics. I hope you will enjoy exploring this amazing Arithmetic Triangle and its relatives as much as I have. There is still much more to be discovered, of that I am certain. Teachers and students are eligible for special discounts for purchases of this book. Send an email to [email protected] for information on qualifying for a discount code to use before ordering.
| Author | : Dale Seymour |
| Publisher | : Addison Wesley Publishing Company |
| Total Pages | : 154 |
| Release | : 1986 |
| Genre | : Education |
| ISBN | : |
To solve a problem, students must establish connections between the number patterns in Pascal's Triangle. Includes all the elements of the first 60 rows of the triangle and their factorizations, plus two-color Pascal's Triangle patterns that can be removed for bulletin board display Teaching suggestions and solutions.
| Author | : A.W.F. Edwards |
| Publisher | : Courier Dover Publications |
| Total Pages | : 227 |
| Release | : 2019-06-12 |
| Genre | : Mathematics |
| ISBN | : 0486832791 |
"An impressive culmination of meticulous research into original sources, this definitive study constitutes the first full-length history of the Arithmetic Triangle." — Mathematics of Computation Pascal's Arithmetical Triangle was named for the seventeenth-century French philosopher/mathematician Blaise Pascal, though he did not invent it. A never-ending equilateral triangle of numbers that follow the rule of adding the two numbers above to get the number below, it appears much earlier in the literature of Hindu and Arabic mathematics and continues to fascinate Western mathematicians. Two sides are comprised of "all 1s," and because the triangle is infinite, there is no "bottom side." This book by A. W. F. Edwards, Professor of Biometry at the University of Cambridge, explores Pascal's Arithmetical Triangle and the way it has been studied, enjoyed, and used by mathematicians throughout history. "A fascinating book...giving new insights into the early history of probability theory and combinatorics and incidentally providing much stimulating material for teachers of mathematics." — G. A. Bernard, International Statistical Institute Review "Scrupulously researched . . . carries the reader along in a rewarding manner. It is a scientific who-dun-it and one must admire the author for the scholarly yet unpedantic manner in which he disperses some of the mists of antiquity." — A. W. Kemp, Biometrics "Recommended not only to historians and mathematicians, but also to students seeking to put some life into the dry treatment of these topics to which they have doubtless been subjected." — Ivor Grattan-Guinness, Annals of Science
| Author | : Roman Valiulin |
| Publisher | : Walter de Gruyter GmbH & Co KG |
| Total Pages | : 202 |
| Release | : 2019-10-08 |
| Genre | : Science |
| ISBN | : 3110608464 |
A visual guide for the interpretation of complex 1H-NMR spectra with a concise and illustrative practice problems section. This book is an easy-to-grasp source for (organic) chemists and students that want to understand and practice NMR spectroscopy.
| Author | : Laurence Sigler |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 736 |
| Release | : 2012-12-06 |
| Genre | : Mathematics |
| ISBN | : 1461300797 |
First published in 1202, Fibonacci’s Liber Abaci was one of the most important books on mathematics in the Middle Ages, introducing Arabic numerals and methods throughout Europe. This is the first translation into a modern European language, of interest not only to historians of science but also to all mathematicians and mathematics teachers interested in the origins of their methods.
| Author | : L. E. Sigler |
| Publisher | : Elsevier |
| Total Pages | : 147 |
| Release | : 2014-06-28 |
| Genre | : Mathematics |
| ISBN | : 0080886507 |
The Book of Squares by Fibonacci is a gem in the mathematical literature and one of the most important mathematical treatises written in the Middle Ages. It is a collection of theorems on indeterminate analysis and equations of second degree which yield, among other results, a solution to a problem proposed by Master John of Palermo to Leonardo at the Court of Frederick II. The book was dedicated and presented to the Emperor at Pisa in 1225. Dating back to the 13th century the book exhibits the early and continued fascination of men with our number system and the relationship among numbers with special properties such as prime numbers, squares, and odd numbers. The faithful translation into modern English and the commentary by the translator make this book accessible to professional mathematicians and amateurs who have always been intrigued by the lure of our number system.
