Gems Of Geometry

Author : John Barnes
Publisher : Springer Science & Business Media
ISBN 13 : 3642050921
Total Pages : 317 pages
Book Rating : 4.23/5 ( download)

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Download or read book Gems of Geometry written by John Barnes and published by Springer Science & Business Media. This book was released on 2009-12-17 with total page 317 pages. Available in PDF, EPUB and Kindle. Book excerpt: Based on a series of lectures for adult students, this lively and entertaining book proves that, far from being a dusty, dull subject, geometry is in fact full of beauty and fascination. The author's infectious enthusiasm is put to use in explaining many of the key concepts in the field, starting with the Golden Number and taking the reader on a geometrical journey via Shapes and Solids, through the Fourth Dimension, finishing up with Einstein's Theories of Relativity. Aimed at a general readership, the text makes accessible complex subjects such as Chaos and Fractals. It includes a wealth of the author's own illustrations and features appendices on related topics. Equally suitable as a gift for a youngster or as a nostalgic journey back into the world of mathematics for older readers, John Barnes' book is the perfect antidote for anyone whose maths lessons at school are a source of painful memories. Where once geometry was a source of confusion and frustration, Barnes brings enlightenment and entertainment.

Author : John Barnes
Publisher : Springer Science & Business Media
ISBN 13 : 364230964X
Total Pages : 325 pages
Book Rating : 4.49/5 ( download)

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Download or read book Gems of Geometry written by John Barnes and published by Springer Science & Business Media. This book was released on 2012-08-17 with total page 325 pages. Available in PDF, EPUB and Kindle. Book excerpt: Based on a series of lectures for adult students, this lively and entertaining book proves that, far from being a dusty, dull subject, geometry is in fact full of beauty and fascination. The author's infectious enthusiasm is put to use in explaining many of the key concepts in the field, starting with the Golden Number and taking the reader on a geometrical journey via Shapes and Solids, through the Fourth Dimension, finishing up with Einstein's Theories of Relativity. Equally suitable as a gift for a youngster or as a nostalgic journey back into the world of mathematics for older readers, John Barnes' book is the perfect antidote for anyone whose maths lessons at school are a source of painful memories. Where once geometry was a source of confusion and frustration, Barnes brings enlightenment and entertainment. In this second edition, stimulated by recent lectures at Oxford, further material and extra illustrations have been added on many topics including Coloured Cubes, Chaos and Crystals.

Author : Evan Chen
Publisher : American Mathematical Soc.
ISBN 13 : 1470466201
Total Pages : 311 pages
Book Rating : 4.06/5 ( download)

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Download or read book Euclidean Geometry in Mathematical Olympiads written by Evan Chen and published by American Mathematical Soc.. This book was released on 2021-08-23 with total page 311 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a challenging problem-solving book in Euclidean geometry, assuming nothing of the reader other than a good deal of courage. Topics covered included cyclic quadrilaterals, power of a point, homothety, triangle centers; along the way the reader will meet such classical gems as the nine-point circle, the Simson line, the symmedian and the mixtilinear incircle, as well as the theorems of Euler, Ceva, Menelaus, and Pascal. Another part is dedicated to the use of complex numbers and barycentric coordinates, granting the reader both a traditional and computational viewpoint of the material. The final part consists of some more advanced topics, such as inversion in the plane, the cross ratio and projective transformations, and the theory of the complete quadrilateral. The exposition is friendly and relaxed, and accompanied by over 300 beautifully drawn figures. The emphasis of this book is placed squarely on the problems. Each chapter contains carefully chosen worked examples, which explain not only the solutions to the problems but also describe in close detail how one would invent the solution to begin with. The text contains a selection of 300 practice problems of varying difficulty from contests around the world, with extensive hints and selected solutions. This book is especially suitable for students preparing for national or international mathematical olympiads or for teachers looking for a text for an honor class.

Author : Eli Maor
Publisher : Princeton University Press
ISBN 13 : 0691175888
Total Pages : 206 pages
Book Rating : 4.81/5 ( download)

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Download or read book Beautiful Geometry written by Eli Maor and published by Princeton University Press. This book was released on 2017-04-11 with total page 206 pages. Available in PDF, EPUB and Kindle. Book excerpt: An exquisite visual celebration of the 2,500-year history of geometry If you've ever thought that mathematics and art don't mix, this stunning visual history of geometry will change your mind. As much a work of art as a book about mathematics, Beautiful Geometry presents more than sixty exquisite color plates illustrating a wide range of geometric patterns and theorems, accompanied by brief accounts of the fascinating history and people behind each. With artwork by Swiss artist Eugen Jost and text by math historian Eli Maor, this unique celebration of geometry covers numerous subjects, from straightedge-and-compass constructions to intriguing configurations involving infinity. The result is a delightful and informative illustrated tour through the 2,500-year-old history of one of the most important branches of mathematics.

Author : Ross Honsberger
Publisher : American Mathematical Soc.
ISBN 13 : 1470457180
Total Pages : 250 pages
Book Rating : 4.81/5 ( download)

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Download or read book Mathematical Gems III written by Ross Honsberger and published by American Mathematical Soc.. This book was released on 1985-01-01 with total page 250 pages. Available in PDF, EPUB and Kindle. Book excerpt: Ross Honsberger was born in Toronto, Canada, in 1929 and attended the University of Toronto. After more than a decade of teaching mathematics in Toronto, he took advantage of a sabbatical leave to continue his studies at the University of Waterloo, Canada. He joined the faculty in 1964 (Department of Combinatorics and Optimization) and has been there ever since. He is married, the father of three, and grandfather of three. He has published seven bestselling books with the Mathematical Association of America. Here is a selection of reviews of Ross Honsberger's books: The reviewer found this little book a joy to read ... the text is laced with historical notes and lively anecdotes and the proofs are models of lucid, uncluttered reasoning. (about Mathematical Gems I) P. Hagis, Jr., in Mathematical Reviews This book is designed to appeal to high school teachers and undergraduates particularly, but should find a much wider audience. The clarity of exposition and the care taken with all aspects of explanations, diagrams and notation is of a very high standard. (about Mathematical Gems II) K. E. Hirst, in Mathematical Reviews All (i.e., the articles in Mathematical Gems III) are written in the very clear style that characterizes the two previous volumes, and there is bound to be something here that will appeal to anyone, both student and teacher alike. For instructors, Mathematical Gems III is useful as a source of thematic ideas around which to build classroom lectures ... Mathematical Gems III is to be warmly recommended, and we look forward to the appearance of a fourth volume in the series. Joseph B. Dence, Mathematics and Computer Education These delightful little books contain between them 27 short essays on topics from geometry, combinatorics, graph theory, and number theory. The essays are independent, and can be read in any order ... overall these are serious books presenting pretty mathematics with elegant proofs. These books deserve a place in the library of every teacher of mathematics as a valuable resource. Further, as much of the material would not be beyond upper secondary students, inclusion in school libraries may be felt desirable too (about Mathematical Gems I and II) Paul Scott, in The Australian Mathematics Teacher

Author : Thomas Reale
Publisher : PSIpress
ISBN 13 : 1935638025
Total Pages : 139 pages
Book Rating : 4.25/5 ( download)

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Download or read book Six gems of geometry written by Thomas Reale and published by PSIpress. This book was released on 2010-05-26 with total page 139 pages. Available in PDF, EPUB and Kindle. Book excerpt: Six gems of geometry is an introductory geometry textbook for general audiences. The book focuses mainly on the teachings of Euclid. It contains a story inspired by William Blake's painting, Newton the Measurer, where an encounter is imagined between Euclid and Newton, suggesting a deep influence the former may have had on the latter.

Author : Ross Honsberger
Publisher : American Mathematical Soc.
ISBN 13 : 1470457148
Total Pages : 191 pages
Book Rating : 4.43/5 ( download)

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Download or read book Mathematical Gems II written by Ross Honsberger and published by American Mathematical Soc.. This book was released on 1976-06-01 with total page 191 pages. Available in PDF, EPUB and Kindle. Book excerpt: Ross Honsberger was born in Toronto, Canada, in 1929 and attended the University of Toronto. After more than a decade of teaching mathematics in Toronto, he took advantage of a sabbatical leave to continue his studies at the University of Waterloo, Canada. He joined the faculty in 1964 (Department of Combinatorics and Optimization) and has been there ever since. He is married, the father of three, and grandfather of three. He has published seven bestselling books with the Mathematical Association of America. Here is a selection of reviews of Ross Honsberger's books: The reviewer found this little book a joy to read ... the text is laced with historical notes and lively anecdotes and the proofs are models of lucid, uncluttered reasoning. (about Mathematical Gems I) P. Hagis, Jr., in Mathematical Reviews This book is designed to appeal to high school teachers and undergraduates particularly, but should find a much wider audience. The clarity of exposition and the care taken with all aspects of explanations, diagrams and notation is of a very high standard. (about Mathematical Gems II) K. E. Hirst, in Mathematical Reviews All (i.e., the articles in Mathematical Gems III) are written in the very clear style that characterizes the two previous volumes, and there is bound to be something here that will appeal to anyone, both student and teacher alike. For instructors, Mathematical Gems III is useful as a source of thematic ideas around which to build classroom lectures ... Mathematical Gems III is to be warmly recommended, and we look forward to the appearance of a fourth volume in the series. Joseph B. Dence, Mathematics and Computer Education These delightful little books contain between them 27 short essays on topics from geometry, combinatorics, graph theory, and number theory. The essays are independent, and can be read in any order ... overall these are serious books presenting pretty mathematics with elegant proofs. These books deserve a place in the library of every teacher of mathematics as a valuable resource. Further, as much of the material would not be beyond upper secondary students, inclusion in school libraries may be felt desirable too (about Mathematical Gems I and II) Paul Scott, in The Australian Mathematics Teacher

Author : R. P. Burn
Publisher : Cambridge University Press
ISBN 13 : 9780521347938
Total Pages : 260 pages
Book Rating : 4.39/5 ( download)

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Download or read book Groups written by R. P. Burn and published by Cambridge University Press. This book was released on 1987-09-03 with total page 260 pages. Available in PDF, EPUB and Kindle. Book excerpt: Following the same successful approach as Dr. Burn's previous book on number theory, this text consists of a carefully constructed sequence of questions that will enable the reader, through participation, to study all the group theory covered by a conventional first university course. An introduction to vector spaces, leading to the study of linear groups, and an introduction to complex numbers, leading to the study of Möbius transformations and stereographic projection, are also included. Quaternions and their relationships to 3-dimensional isometries are covered, and the climax of the book is a study of the crystallographic groups, with a complete analysis of these groups in two dimensions.

Author : Tom M. Apostol
Publisher : American Mathematical Soc.
ISBN 13 : 1470443368
Total Pages : 520 pages
Book Rating : 4.68/5 ( download)

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Download or read book New Horizons in Geometry written by Tom M. Apostol and published by American Mathematical Soc.. This book was released on 2017-10-24 with total page 520 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Robert J. Zimmer
Publisher : University of Chicago Press
ISBN 13 : 0226237893
Total Pages : 659 pages
Book Rating : 4.93/5 ( download)

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Download or read book Geometry, Rigidity, and Group Actions written by Robert J. Zimmer and published by University of Chicago Press. This book was released on 2011-04-15 with total page 659 pages. Available in PDF, EPUB and Kindle. Book excerpt: The study of group actions is more than 100 years old but remains a widely studied topic in a variety of mathematic fields. A central development in the last 50 years is the phenomenon of rigidity, whereby one can classify actions of certain groups. This book looks at rigidity.