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Pascals Triangle
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Book Synopsis Pascal's Arithmetical Triangle by : A.W.F. Edwards
Download or read book Pascal's Arithmetical Triangle written by A.W.F. Edwards and published by Courier Dover Publications. This book was released on 2019-06-12 with total page 227 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Pascal's Triangle by : Thomas M. Green
Download or read book Pascal's Triangle written by Thomas M. Green and published by Dale Seymour Publication. This book was released on 1986-01 with total page 278 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Pascal's Triangle by : Tony Colledge
Download or read book Pascal's Triangle written by Tony Colledge and published by . This book was released on 1992 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Fibonacci’s Liber Abaci by : Laurence Sigler
Download or read book Fibonacci’s Liber Abaci written by Laurence Sigler and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 736 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Pascal's Triangle by : Vladimir Andreevich Uspenskiĭ
Download or read book Pascal's Triangle written by Vladimir Andreevich Uspenskiĭ and published by . This book was released on 1976 with total page 94 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis The Simplex, Duplex and Pascal's Triangles by : Thomas M. Green
Download or read book The Simplex, Duplex and Pascal's Triangles written by Thomas M. Green and published by CreateSpace. This book was released on 2015-07-25 with total page 176 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Visual Patterns in Pascal's Triangle by : Dale Seymour
Download or read book Visual Patterns in Pascal's Triangle written by Dale Seymour and published by Addison Wesley Publishing Company. This book was released on 1986 with total page 154 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis NMR Multiplet Interpretation by : Roman Valiulin
Download or read book NMR Multiplet Interpretation written by Roman Valiulin and published by Walter de Gruyter GmbH & Co KG. This book was released on 2019-10-08 with total page 202 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Finite Math For Dummies by : Mary Jane Sterling
Download or read book Finite Math For Dummies written by Mary Jane Sterling and published by John Wiley & Sons. This book was released on 2018-04-06 with total page 340 pages. Available in PDF, EPUB and Kindle. Book excerpt: Use mathematical analysis in the real world Finite math takes everything you've learned in your previous math courses and brings them together into one course with a focus on organizing and analyzing information, creating mathematical models for approaching business decisions, using statistics principles to understand future states, and applying logic to data organization. Finite Math For Dummies tracks to a typical college-level course designed for business, computer science, accounting, and other non-math majors, and is the perfect supplement to help you score high! Organize and analyze information Apply calculation principles to real-world problems Use models for business calculations Supplement your coursework with step-by-step example problems If you’re not a math person or just want to brush up on your skills to get a better grade, Finite Math For Dummies is your ticket to scoring higher!
Book Synopsis Some Sine and Cosine Identities Obtained from Pascal's Triangle by : Christopher Schwaner
Download or read book Some Sine and Cosine Identities Obtained from Pascal's Triangle written by Christopher Schwaner and published by Dorrance Publishing. This book was released on 2012-04 with total page 44 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Leonardo Pisano (Fibonacci) by : L. E. Sigler
Download or read book Leonardo Pisano (Fibonacci) written by L. E. Sigler and published by Elsevier. This book was released on 2014-06-28 with total page 147 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Pascal's Triangle by : Thomas M. Green
Download or read book Pascal's Triangle written by Thomas M. Green and published by Addison Wesley Publishing Company. This book was released on 1986-01-01 with total page 122 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Pascal's Triangle by : Jason Van Billiard
Download or read book Pascal's Triangle written by Jason Van Billiard and published by . This book was released on 2014-06-18 with total page 130 pages. Available in PDF, EPUB and Kindle. Book excerpt: You will enjoy this book if you are mathematically curious and have a reasonably sound high school mathematics background. There is no calculus or other higher mathematics needed to study the contents of this book. The challenge of this excursion is that it involves a way of thinking that is unfamiliar to many: combinatorial argument. Consequently, by reading this book you will learn something new about the broader world of mathematics. This book first introduces the reader to many interesting patterns in Pascal's Triangle. These patterns serve as the gateway to thinking in terms of combinations. This short trek is a pleasant and rewarding journey for the mind.
Book Synopsis Computers, Pattern, Chaos, and Beauty by : Clifford A. Pickover
Download or read book Computers, Pattern, Chaos, and Beauty written by Clifford A. Pickover and published by Courier Corporation. This book was released on 2001-01-01 with total page 458 pages. Available in PDF, EPUB and Kindle. Book excerpt: Provides an exploration of graphics based on mathematical theories, including chaos and fractals, and includes algorithms for computer generated images.
Book Synopsis Intermediate Algebra 2e by : Lynn Marecek
Download or read book Intermediate Algebra 2e written by Lynn Marecek and published by . This book was released on 2020-05-06 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Discrete Mathematics by : Oscar Levin
Download or read book Discrete Mathematics written by Oscar Levin and published by Createspace Independent Publishing Platform. This book was released on 2018-07-30 with total page 238 pages. Available in PDF, EPUB and Kindle. Book excerpt: Note: This is a custom edition of Levin's full Discrete Mathematics text, arranged specifically for use in a discrete math course for future elementary and middle school teachers. (It is NOT a new and updated edition of the main text.)This gentle introduction to discrete mathematics is written for first and second year math majors, especially those who intend to teach. The text began as a set of lecture notes for the discrete mathematics course at the University of Northern Colorado. This course serves both as an introduction to topics in discrete math and as the "introduction to proof" course for math majors. The course is usually taught with a large amount of student inquiry, and this text is written to help facilitate this.Four main topics are covered: counting, sequences, logic, and graph theory. Along the way proofs are introduced, including proofs by contradiction, proofs by induction, and combinatorial proofs.While there are many fine discrete math textbooks available, this text has the following advantages: - It is written to be used in an inquiry rich course.- It is written to be used in a course for future math teachers.- It is open source, with low cost print editions and free electronic editions.
Book Synopsis The Mathematics of Harmony by : Alexey Stakhov
Download or read book The Mathematics of Harmony written by Alexey Stakhov and published by World Scientific. This book was released on 2009 with total page 745 pages. Available in PDF, EPUB and Kindle. Book excerpt: Assisted by Scott Olsen ( Central Florida Community College, USA ). This volume is a result of the author's four decades of research in the field of Fibonacci numbers and the Golden Section and their applications. It provides a broad introduction to the fascinating and beautiful subject of the OC Mathematics of Harmony, OCO a new interdisciplinary direction of modern science. This direction has its origins in OC The ElementsOCO of Euclid and has many unexpected applications in contemporary mathematics (a new approach to a history of mathematics, the generalized Fibonacci numbers and the generalized golden proportions, the OC goldenOCO algebraic equations, the generalized Binet formulas, Fibonacci and OC goldenOCO matrices), theoretical physics (new hyperbolic models of Nature) and computer science (algorithmic measurement theory, number systems with irrational radices, Fibonacci computers, ternary mirror-symmetrical arithmetic, a new theory of coding and cryptography based on the Fibonacci and OC goldenOCO matrices). The book is intended for a wide audience including mathematics teachers of high schools, students of colleges and universities and scientists in the field of mathematics, theoretical physics and computer science. The book may be used as an advanced textbook by graduate students and even ambitious undergraduates in mathematics and computer science. Sample Chapter(s). Introduction (503k). Chapter 1: The Golden Section (2,459k). Contents: Classical Golden Mean, Fibonacci Numbers, and Platonic Solids: The Golden Section; Fibonacci and Lucas Numbers; Regular Polyhedrons; Mathematics of Harmony: Generalizations of Fibonacci Numbers and the Golden Mean; Hyperbolic Fibonacci and Lucas Functions; Fibonacci and Golden Matrices; Application in Computer Science: Algorithmic Measurement Theory; Fibonacci Computers; Codes of the Golden Proportion; Ternary Mirror-Symmetrical Arithmetic; A New Coding Theory Based on a Matrix Approach. Readership: Researchers, teachers and students in mathematics (especially those interested in the Golden Section and Fibonacci numbers), theoretical physics and computer science."
