Figurate Numbers

Figurate Numbers PDF Author: Michel-marie Deza
Publisher: World Scientific
ISBN: 9814458538
Category : Mathematics
Languages : en
Pages : 475

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Book Description
Figurate numbers have a rich history with many applications. The main purpose of this book is to provide a thorough and complete presentation of the theory of figurate numbers, giving much of their properties, facts and theorems with full proofs. This book is the first of this topic written in unified systematic way. It also contains many exercises with solutions.

Figurate Numbers

Figurate Numbers PDF Author: Michel-marie Deza
Publisher: World Scientific
ISBN: 9814458538
Category : Mathematics
Languages : en
Pages : 475

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Book Description
Figurate numbers have a rich history with many applications. The main purpose of this book is to provide a thorough and complete presentation of the theory of figurate numbers, giving much of their properties, facts and theorems with full proofs. This book is the first of this topic written in unified systematic way. It also contains many exercises with solutions.

Let's Play Math

Let's Play Math PDF Author: Denise Gaskins
Publisher: Tabletop Academy Press
ISBN: 1892083248
Category : Education
Languages : en
Pages : 288

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Book Description


Number Treasury 3: Investigations, Facts And Conjectures About More Than 100 Number Families (3rd Edition)

Number Treasury 3: Investigations, Facts And Conjectures About More Than 100 Number Families (3rd Edition) PDF Author: Margaret J Kenney
Publisher: World Scientific
ISBN: 9814603716
Category : Mathematics
Languages : en
Pages : 325

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Book Description
This resource volume is an enlargement as well as an update of the previous edition. The book aims to introduce the reader to over 100 different families of positive integers. A brief historical note accompanies the descriptions and examples of several of the families together with a mix of routine exercises and problems as well as some thought provokers to solve. Number Treasury3 especially aims to stimulate further study beyond the scope of the introductory treatment given in the book. The emphasis in Number Treasury3 is on doing not proving. However, the reader is directed to think critically about situations, to provide explanations, to make generalizations, and to formulate conjectures. To engage the reader from the start, the book begins with a set of rich Investigations. These are standalone activities that represent each of the chapters of the book.

Lessons for Algebraic Thinking

Lessons for Algebraic Thinking PDF Author: Ann Lawrence
Publisher: Math Solutions
ISBN: 0941355497
Category : Education
Languages : en
Pages : 278

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Book Description
These lessons show how to maximize instruction that prepares students for formal algebra. Through a series of investigations, students build their proficiency with key algebraic concepts. Connections between arithmetic and algebra are made through the use of drawings, tables, graphs, words, and symbols. Lessons include a technology component with suggestions for teaching with graphing calculators.

Gnomon

Gnomon PDF Author: Midhat J. Gazalé
Publisher: Princeton University Press
ISBN: 9780691005140
Category : Fractals
Languages : en
Pages : 308

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Book Description
The author "explains the properties of gnomons [self-repeating shapes], traces their long and colorful history in human thought, and explores the mathematical and geometrical marvels they make possible."--Jacket.

The Philosophy of Arithmetic as Developed from the Three Fundamental Processes of Synthesis, Analysis, and Comparison

The Philosophy of Arithmetic as Developed from the Three Fundamental Processes of Synthesis, Analysis, and Comparison PDF Author: Edward Brooks
Publisher:
ISBN:
Category : Arithmetic
Languages : en
Pages : 584

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Book Description


The Moscow Puzzles

The Moscow Puzzles PDF Author: Boris A. Kordemsky
Publisher: Courier Dover Publications
ISBN: 0486801306
Category : Games & Activities
Languages : en
Pages : 321

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Book Description
This is, quite simply, the best and most popular puzzle book ever published in the Soviet Union. Since its first appearance in 1956 there have been eight editions as well as translations from the original Russian into Ukrainian, Estonian, Lettish, and Lithuanian. Almost a million copies of the Russian version alone have been sold. Part of the reason for the book's success is its marvelously varied assortment of brainteasers ranging from simple "catch" riddles to difficult problems (none, however, requiring advanced mathematics). Many of the puzzles will be new to Western readers, while some familiar problems have been clothed in new forms. Often the puzzles are presented in the form of charming stories that provide non-Russian readers with valuable insights into contemporary Russian life and customs. In addition, Martin Gardner, former editor of the Mathematical Games Department, Scientific American, has clarified and simplified the book to make it as easy as possible for an English-reading public to understand and enjoy. He has been careful, moreover, to retain nearly all the freshness, warmth, and humor of the original. Lavishly illustrated with over 400 clear diagrams and amusing sketches, this inexpensive edition of the first English translation will offer weeks or even months of stimulating entertainment. It belongs in the library of every puzzlist or lover of recreational mathematics.

Descartes on Polyhedra

Descartes on Polyhedra PDF Author: P. J. Federico
Publisher: Springer Science & Business Media
ISBN: 146125759X
Category : Mathematics
Languages : en
Pages : 150

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Book Description
The present essay stems from a history of polyhedra from 1750 to 1866 written several years ago (as part of a more general work, not published). So many contradictory statements regarding a Descartes manuscript and Euler, by various mathematicians and historians of mathematics, were encountered that it was decided to write a separate study of the relevant part of the Descartes manuscript on polyhedra. The contemplated short paper grew in size, as only a detailed treatment could be of any value. After it was completed it became evident that the entire manuscript should be treated and the work grew some more. The result presented here is, I hope, a complete, accurate, and fair treatment of the entire manuscript. While some views and conclusions are expressed, this is only done with the facts before the reader, who may draw his or her own conclusions. I would like to express my appreciation to Professors H. S. M. Coxeter, Branko Griinbaum, Morris Kline, and Dr. Heinz-Jiirgen Hess for reading the manuscript and for their encouragement and suggestions. I am especially indebted to Dr. Hess, of the Leibniz-Archiv, for his assistance in connection with the manuscript. I have been greatly helped in preparing the translation ofthe manuscript by the collaboration of a Latin scholar, Mr. Alfredo DeBarbieri. The aid of librarians is indispensable, and I am indebted to a number of them, in this country and abroad, for locating material and supplying copies.

The Doctrine of Permutations and Combinations

The Doctrine of Permutations and Combinations PDF Author: Francis Maseres
Publisher:
ISBN:
Category : Binomial theorem
Languages : en
Pages : 912

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Book Description


A Treatise of Algebra in Two Books

A Treatise of Algebra in Two Books PDF Author: Philip Ronayne
Publisher:
ISBN:
Category : Algebra
Languages : en
Pages : 478

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Book Description