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The Penguin Dictionary of Curious and Interesting Geometry

Author : David G. Wells
Publisher : Penguin Mass Market
Page : 310 pages
File Size : 17,92 MB
Release : 1991
Category : Mathematics
ISBN :

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"A companion volume to the author's "Dictionary of Curious and Interesting Numbers", which focuses on arithmetic and number theory. The entries in this book cover curves, topology, tilings and all branches of plane and three-dimensional geometry, from Euclid to fractals."

Book of Curious and Interesting Puzzles

Author : David Wells
Publisher : Dover Publications
Page : 0 pages
File Size : 19,84 MB
Release : 2006
Category : Mathematical recreations
ISBN : 9780486443416

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"Of immense interest to those who enjoy recreational maths and puzzles . . . even the most hardened puzzler will find something new." -- Mathematical Gazette Puzzles are as old as history itself, following an arc like that of technology: centuries of slow progress, followed by rapid expansion in the 1800s, and an explosion of activity in the twentieth century. This collection by bestselling author David Wells, a Cambridge math scholar and teacher, follows that pattern. Its first part is devoted to puzzles from ancient Egypt and Babylon and subsequent sources, featuring those devised by Lewis Carroll, Eduard Lucas, Sam Loyd, and other master puzzlers of the Victorian era. The second part demonstrates the tremendous variety of twentieth-century puzzles. More than 560 puzzles are included, from the "mind sharpeners" of a medieval monk to the eighteenth-century Ladies' Diary, the Hindu Bhakshali manuscript, and riddles and popular rhymes. None requires any mathematics beyond the most elementary algebra and geometry -- and few require even that. Complete answers appear at the end.

Mathographics

Author : Robert A. Dixon
Publisher : Courier Corporation
Page : 226 pages
File Size : 15,67 MB
Release : 1991-01-01
Category : Mathematics
ISBN : 0486266397

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Stimulating, unique book explores the possibilities of mathematical drawing through compass constructions and computer graphics. Over 100 full-page drawings demonstrate possibilities: five-point egg, golden ratio, 17-gon, plughole vortex, blancmange curve, pentasnow, turtle geometry, many more. Exercises (with answers). "A wealth of intriguing and lovely ideas." — Information Technology & Learning.

Platonic & Archimedean Solids

Author :
Publisher : Bloomsbury Publishing USA
Page : 68 pages
File Size : 31,4 MB
Release : 2002-04-01
Category : Mathematics
ISBN : 0802713866

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Looks at the relationship between the five Platonic and thirteen Archimedean solids.

You Are a Mathematician

Author : David Wells
Publisher :
Page : 440 pages
File Size : 17,9 MB
Release : 1997-02-18
Category : Mathematics
ISBN :

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Explores the patterns, properties, and problems associated with numbers, looking at topics from basic arithmetic to algebraic equations, and includes over 100 brainteasers and their solutions.

The Wonder Book of Geometry

Author : David Acheson
Publisher : Oxford University Press
Page : 240 pages
File Size : 35,77 MB
Release : 2020-10-22
Category : Mathematics
ISBN : 0192585371

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How can we be sure that Pythagoras's theorem is really true? Why is the 'angle in a semicircle' always 90 degrees? And how can tangents help determine the speed of a bullet? David Acheson takes the reader on a highly illustrated tour through the history of geometry, from ancient Greece to the present day. He emphasizes throughout elegant deduction and practical applications, and argues that geometry can offer the quickest route to the whole spirit of mathematics at its best. Along the way, we encounter the quirky and the unexpected, meet the great personalities involved, and uncover some of the loveliest surprises in mathematics.

Prime Numbers

Author : David Wells
Publisher : Turner Publishing Company
Page : 260 pages
File Size : 14,50 MB
Release : 2011-01-13
Category : Mathematics
ISBN : 1118045718

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A fascinating journey into the mind-bending world of prime numbers Cicadas of the genus Magicicada appear once every 7, 13, or 17 years. Is it just a coincidence that these are all prime numbers? How do twin primes differ from cousin primes, and what on earth (or in the mind of a mathematician) could be sexy about prime numbers? What did Albert Wilansky find so fascinating about his brother-in-law's phone number? Mathematicians have been asking questions about prime numbers for more than twenty-five centuries, and every answer seems to generate a new rash of questions. In Prime Numbers: The Most Mysterious Figures in Math, you'll meet the world's most gifted mathematicians, from Pythagoras and Euclid to Fermat, Gauss, and Erd?o?s, and you'll discover a host of unique insights and inventive conjectures that have both enlarged our understanding and deepened the mystique of prime numbers. This comprehensive, A-to-Z guide covers everything you ever wanted to know--and much more that you never suspected--about prime numbers, including: * The unproven Riemann hypothesis and the power of the zeta function * The "Primes is in P" algorithm * The sieve of Eratosthenes of Cyrene * Fermat and Fibonacci numbers * The Great Internet Mersenne Prime Search * And much, much more

Classical Geometry

Author : I. E. Leonard
Publisher : John Wiley & Sons
Page : 501 pages
File Size : 10,56 MB
Release : 2014-04-30
Category : Mathematics
ISBN : 1118679148

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Features the classical themes of geometry with plentiful applications in mathematics, education, engineering, and science Accessible and reader-friendly, Classical Geometry: Euclidean, Transformational, Inversive, and Projective introduces readers to a valuable discipline that is crucial to understanding bothspatial relationships and logical reasoning. Focusing on the development of geometric intuitionwhile avoiding the axiomatic method, a problem solving approach is encouraged throughout. The book is strategically divided into three sections: Part One focuses on Euclidean geometry, which provides the foundation for the rest of the material covered throughout; Part Two discusses Euclidean transformations of the plane, as well as groups and their use in studying transformations; and Part Three covers inversive and projective geometry as natural extensions of Euclidean geometry. In addition to featuring real-world applications throughout, Classical Geometry: Euclidean, Transformational, Inversive, and Projective includes: Multiple entertaining and elegant geometry problems at the end of each section for every level of study Fully worked examples with exercises to facilitate comprehension and retention Unique topical coverage, such as the theorems of Ceva and Menalaus and their applications An approach that prepares readers for the art of logical reasoning, modeling, and proofs The book is an excellent textbook for courses in introductory geometry, elementary geometry, modern geometry, and history of mathematics at the undergraduate level for mathematics majors, as well as for engineering and secondary education majors. The book is also ideal for anyone who would like to learn the various applications of elementary geometry.