Pascal's Arithmetical Triangle PDF Download
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Author: A.W.F. Edwards
Publisher: Courier Dover Publications
ISBN: 048684076X
Category : Mathematics
Languages : en
Pages : 227
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Book Description
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: A.W.F. Edwards
Publisher: Courier Dover Publications
ISBN: 048684076X
Category : Mathematics
Languages : en
Pages : 227
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Book Description
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
ISBN: 9780866513067
Category : Mathematics
Languages : en
Pages : 278
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Book Description
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:
ISBN: 9780906212844
Category : Juvenile Nonfiction
Languages : en
Pages : 0
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Book Description
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: L. E. Sigler
Publisher: Elsevier
ISBN: 0080886507
Category : Mathematics
Languages : en
Pages : 147
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Book Description
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.
Author: Laurence Sigler
Publisher: Springer Science & Business Media
ISBN: 1461300797
Category : Mathematics
Languages : en
Pages : 736
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Book Description
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: Roman Valiulin
Publisher: Walter de Gruyter GmbH & Co KG
ISBN: 3110608464
Category : Science
Languages : en
Pages : 247
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Book Description
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: Thomas M. Green
Publisher: Addison Wesley Publishing Company
ISBN: 9780866513531
Category : Counting
Languages : en
Pages : 122
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Book Description
How to teach the relationship of Pascal's Triangle to the various branches of mathematics. Contains a wide variety of exercises on probabilities, binary paths, checkerboard paths, binomial expansions, Fibonacci numbers, cubic numbers, and more. Answer key features detailed figures and charts.
Author: Thomas M. Green
Publisher: CreateSpace
ISBN: 9781514677094
Category :
Languages : en
Pages : 176
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Book Description
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: Vladimir Andreevich Uspenskiĭ
Publisher:
ISBN:
Category : Mechanics
Languages : en
Pages : 94
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Book Description
Author: Christopher Schwaner
Publisher: Dorrance Publishing
ISBN: 143491609X
Category : Mathematics
Languages : en
Pages : 44
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Book Description
Trigonometric identities were used to simplify expressions of trigonometric functions. Pascal¿s triangle is a triangular arrangement of binomial coefficients. Could it be possible to marry this two? Dr. Christopher White and Dr. Christopher Schwaner explored a new way of using Pascal¿s triangle to find sine and cosine identities by developing formulas and showing procedures to prove how it could be possible. Read on and be amazed at what these brilliant authors came up with.
