Number Mosaics

By: Adi R Kanga

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Hardcover | 1 April 1995

At a Glance

Hardcover
376 Pages

Dimensions(cm)
22.86 x 16.51 x 2.54

Hardcover

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Number Mosaics has little in common with most other books of recreational mathematics. Though it contains much for the reader to marvel at and wonder about, it is far from being just another book of mind bending puzzles. It is more in the nature of a story of discovery and adventure in hitherto unexplored regions of the fascinating universe of numbers and patterns. As the story unfolds, the reader is drawn into it and soon becomes a member of the exploring party.The problems which feature in the book are intriguing in themselves, but the focus is not so much on obtaining the right answers as on the numerous and ingenious ways of arriving at the solutions.The approach adopted is similar to that often used in the past by old masters like Fermat, Euler and Gauss, to name a few. The critical examination of raw data initially invokes a response in the form of a conjecture which is then refined and tested in wider and wider fields.The book abounds with illustrative examples and illuminating diagrams, and throughout it the search for universals continues like a powerful undercurrent, as master keys are forged which work under all manner of changing conditions for solving a variety of problems, often without the need for calculations. This is a book which lovers of number lore will surely relish.

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You Can Find This Book In

Non-Fiction Hobbies, Games & Puzzles Puzzles & Quizzes Sudoku & Number Puzzles Mathematics Number Theory Booktopia Publisher Services World Scientific Publishing

Foreword
Author's Preface
Number Mosaics	p. 3
Table of Multiplications - Unorthodox Readings	p. 16
Looking Beyond Pascal's Triangle	p. 26
Conjunctive Use of Mosaics	p. 35
Tartaglian Mosaics and Stepped Pyramids	p. 40
Locular Techniques	p. 53
Racks and Pinions	p. 63
The World of Caterpillars	p. 80
Once More at Pascal's Window	p. 94
Chains of Squares	p. 100
Interactions between Chains of Squares - Based on Arithmetic Progressions	p. 110
Of Stars and Stellated Forms	p. 122
Sum of Products Two at a Time: Fresh Alternatives	p. 135
Sum of Products Taken Three at a Time	p. 149
The Grand Design	p. 166
Revisiting the Table of Multiplications	p. 180
Returning to Tartagliana	p. 194
Geometric Progressions Fibonacci/Lucas Numbers	p. 213
More about Caterpillars	p. 228
Introduction to Custom made Mosaics	p. 251
More about Kite Forms	p. 274
...And now on to Tesseracts	p. 285
Back to the World of Squares	p. 296
Packing of Spheres of Uniform Size	p. 308
The Art of Computation	p. 317
Glossary of Terms and Explanatory Notes	p. 341
Table of Contents provided by Blackwell. All Rights Reserved.

Number Mosaics

At a Glance

Hardcover

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How to return your order

Defective items

You Can Find This Book In

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