Gems Of Geometry

Author : John Barnes
Publisher : Springer Science & Business Media
Page : 317 pages
File Size : 47,6 Mb
Release : 2009-12-17
Category : Mathematics
ISBN : 9783642050923

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Gems of Geometry by John Barnes Pdf

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
Page : 325 pages
File Size : 47,6 Mb
Release : 2012-08-17
Category : Mathematics
ISBN : 9783642309649

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Gems of Geometry by John Barnes Pdf

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 : Thomas Reale
Publisher : PSIpress
Page : 139 pages
File Size : 51,7 Mb
Release : 2010-05-26
Category : Mathematics
ISBN : 9781935638025

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Six gems of geometry by Thomas Reale Pdf

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.
Page : 250 pages
File Size : 49,6 Mb
Release : 1985-01-01
Category : Mathematics
ISBN : 9781470457181

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Mathematical Gems III by Ross Honsberger Pdf

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 : Evan Chen
Publisher : American Mathematical Soc.
Page : 311 pages
File Size : 54,8 Mb
Release : 2021-08-23
Category : Education
ISBN : 9781470466206

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Euclidean Geometry in Mathematical Olympiads by Evan Chen Pdf

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 : Ross Honsberger
Publisher : American Mathematical Soc.
Page : 191 pages
File Size : 55,6 Mb
Release : 1976-06-01
Category : Mathematics
ISBN : 9781470457143

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Mathematical Gems II by Ross Honsberger Pdf

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 : Alfred S Posamentier,Robert Geretschlager
Publisher : Unknown
Page : 0 pages
File Size : 47,6 Mb
Release : 2024-08-31
Category : Mathematics
ISBN : 9811292299

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Geometric Gems: An Appreciation for Geometric Curiosities - Volume II: The Wonders of Quadrilaterals by Alfred S Posamentier,Robert Geretschlager Pdf

Our physical world is embedded in a geometric environment. Plane geometry has many amazing wonders beyond those that are briefly touched on at school. The quadrilateral, one of the basic instruments in geometry, has a plethora of unexpected curiosities. The authors present these in an easily understood fashion, requiring nothing more than the very basics of school geometry to appreciate these curiosities and their justifications or proofs.The book is intended to be widely appreciated by a general audience, and their love for geometry should be greatly enhanced through exploring these many unexpected relationships in geometry. Geometric Gems is also suitable for mathematics teachers, to enhance the education of their students with these highly motivating quadrilateral properties.

Author : Eli Maor,Eugen Jost
Publisher : Princeton University Press
Page : 206 pages
File Size : 52,7 Mb
Release : 2017-04-11
Category : Art
ISBN : 9780691175881

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Beautiful Geometry by Eli Maor,Eugen Jost Pdf

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 : Unknown
Page : 176 pages
File Size : 55,8 Mb
Release : 1973
Category : Combinatorial analysis
ISBN : 0883853000

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Mathematical Gems from Elementary Combinatorics, Number Theory, and Geometry by Ross Honsberger Pdf

Author : Alfred S. Posamentier,Robert Geretschlager
Publisher : World Scientific Publishing Company
Page : 0 pages
File Size : 44,6 Mb
Release : 2024
Category : Mathematics
ISBN : 9811279586

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Geometric Gems: An Appreciation for Geometric Curiosities - Volume I: The Wonders of Triangles by Alfred S. Posamentier,Robert Geretschlager Pdf

Our physical world is embedded in a geometric environment. Plane geometry has many amazing wonders beyond those that are briefly touched on in school curriculums. The triangle, one of the basic instruments in geometry, has a plethora of unexpected curiosities. Geometric Gems presents one of the largest collections of triangle curiosities currently available, which the authors discuss in an easily understood fashion, requiring nothing more of readers other than the very basics of school geometry to appreciate these curiosities and their justifications or proofs.The book is intended to be widely appreciated by a general audience, and their love for geometry should be greatly enhanced through exploring these many unexpected relationships in geometry. Geometric Gems is also suitable for mathematics teachers, to enhance the education of their students with these highly motivating triangle properties.

Author : Ross Honsberger
Publisher : Unknown
Page : 0 pages
File Size : 43,8 Mb
Release : 1973
Category : Combinatorial analysis
ISBN : 0883853000

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Mathematical Gems by Ross Honsberger Pdf

Author : Alfred S Posamentier,Robert Geretschlager
Publisher : World Scientific
Page : 397 pages
File Size : 41,6 Mb
Release : 2024-03-07
Category : Mathematics
ISBN : 9789811279607

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Geometric Gems: An Appreciation For Geometric Curiosities - Volume I: The Wonders Of Triangles by Alfred S Posamentier,Robert Geretschlager Pdf

Our physical world is embedded in a geometric environment. Plane geometry has many amazing wonders beyond those that are briefly touched on in school curriculums. The triangle, one of the basic instruments in geometry, has a plethora of unexpected curiosities. Geometric Gems presents one of the largest collections of triangle curiosities currently available, which the authors discuss in an easily understood fashion, requiring nothing more of readers other than the very basics of school geometry to appreciate these curiosities and their justifications or proofs.The book is intended to be widely appreciated by a general audience, and their love for geometry should be greatly enhanced through exploring these many unexpected relationships in geometry. Geometric Gems is also suitable for mathematics teachers, to enhance the education of their students with these highly motivating triangle properties.

Author : David Acheson
Publisher : Oxford University Press
Page : 240 pages
File Size : 48,5 Mb
Release : 2020-10-22
Category : Mathematics
ISBN : 9780192585370

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The Wonder Book of Geometry by David Acheson Pdf

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.

Author : Albrecht Beutelspacher,Ute Rosenbaum
Publisher : Cambridge University Press
Page : 272 pages
File Size : 52,6 Mb
Release : 1998-01-29
Category : Mathematics
ISBN : 0521483646

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Projective Geometry by Albrecht Beutelspacher,Ute Rosenbaum Pdf

Projective geometry is not only a jewel of mathematics, but has also many applications in modern information and communication science. This book presents the foundations of classical projective and affine geometry as well as its important applications in coding theory and cryptography. It also could serve as a first acquaintance with diagram geometry. Written in clear and contemporary language with an entertaining style and around 200 exercises, examples and hints, this book is ideally suited to be used as a textbook for study in the classroom or on its own.

Author : Ross Honsberger,Mathematical Association of America
Publisher : Unknown
Page : 176 pages
File Size : 45,7 Mb
Release : 1973
Category : Combinatorial analysis
ISBN : 0883853000

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Mathematical Gems, 1 by Ross Honsberger,Mathematical Association of America Pdf