# geometry-by-its-history

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## Geometry By Its History

**Author :**Alexander Ostermann

**ISBN :**9783642291630

**Genre :**Mathematics

**File Size :**37. 72 MB

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In this textbook the authors present first-year geometry roughly in the order in which it was discovered. The first five chapters show how the ancient Greeks established geometry, together with its numerous practical applications, while more recent findings on Euclidian geometry are discussed as well. The following three chapters explain the revolution in geometry due to the progress made in the field of algebra by Descartes, Euler and Gauss. Spatial geometry, vector algebra and matrices are treated in chapters 9 and 10. The last chapter offers an introduction to projective geometry, which emerged in the 19thcentury. Complemented by numerous examples, exercises, figures and pictures, the book offers both motivation and insightful explanations, and provides stimulating and enjoyable reading for students and teachers alike.

## Mathematics And Its History

**Author :**John Stillwell

**ISBN :**9781441960528

**Genre :**Mathematics

**File Size :**84. 31 MB

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From a review of the second edition: "This book covers many interesting topics not usually covered in a present day undergraduate course, as well as certain basic topics such as the development of the calculus and the solution of polynomial equations. The fact that the topics are introduced in their historical contexts will enable students to better appreciate and understand the mathematical ideas involved...If one constructs a list of topics central to a history course, then they would closely resemble those chosen here." (David Parrott, Australian Mathematical Society) This book offers a collection of historical essays detailing a large variety of mathematical disciplines and issues; it’s accessible to a broad audience. This third edition includes new chapters on simple groups and new sections on alternating groups and the Poincare conjecture. Many more exercises have been added as well as commentary that helps place the exercises in context.

## A History Of Non Euclidean Geometry

**Author :**Boris A. Rosenfeld

**ISBN :**9780387964584

**Genre :**Mathematics

**File Size :**56. 27 MB

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The Russian edition of this book appeared in 1976 on the hundred-and-fiftieth anniversary of the historic day of February 23, 1826, when LobaeevskiI delivered his famous lecture on his discovery of non-Euclidean geometry. The importance of the discovery of non-Euclidean geometry goes far beyond the limits of geometry itself. It is safe to say that it was a turning point in the history of all mathematics. The scientific revolution of the seventeenth century marked the transition from "mathematics of constant magnitudes" to "mathematics of variable magnitudes. " During the seventies of the last century there occurred another scientific revolution. By that time mathematicians had become familiar with the ideas of non-Euclidean geometry and the algebraic ideas of group and field (all of which appeared at about the same time), and the (later) ideas of set theory. This gave rise to many geometries in addition to the Euclidean geometry previously regarded as the only conceivable possibility, to the arithmetics and algebras of many groups and fields in addition to the arith metic and algebra of real and complex numbers, and, finally, to new mathe matical systems, i. e. , sets furnished with various structures having no classical analogues. Thus in the 1870's there began a new mathematical era usually called, until the middle of the twentieth century, the era of modern mathe matics.

## Geometry Through History

**Author :**Meighan I. Dillon

**ISBN :**9783319741352

**Genre :**Mathematics

**File Size :**59. 77 MB

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Presented as an engaging discourse, this textbook invites readers to delve into the historical origins and uses of geometry. The narrative traces the influence of Euclid’s system of geometry, as developed in his classic text The Elements, through the Arabic period, the modern era in the West, and up to twentieth century mathematics. Axioms and proof methods used by mathematicians from those periods are explored alongside the problems in Euclidean geometry that lead to their work. Students cultivate skills applicable to much of modern mathematics through sections that integrate concepts like projective and hyperbolic geometry with representative proof-based exercises. For its sophisticated account of ancient to modern geometries, this text assumes only a year of college mathematics as it builds towards its conclusion with algebraic curves and quaternions. Euclid’s work has affected geometry for thousands of years, so this text has something to offer to anyone who wants to broaden their appreciation for the field.

## Geometry In History

**Author :**S. G. Dani

**ISBN :**9783030136093

**Genre :**Mathematics

**File Size :**62. 25 MB

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This is a collection of surveys on important mathematical ideas, their origin, their evolution and their impact in current research. The authors are mathematicians who are leading experts in their fields. The book is addressed to all mathematicians, from undergraduate students to senior researchers, regardless of the specialty.

## Geometry Civilized

**Author :**J. L. Heilbron

**ISBN :**0198506902

**Genre :**Mathematics

**File Size :**61. 2 MB

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Geometry Civilized is a unique combination of history and mathematics. It contains a full introduction to plane geometry and trigonometry within a fascinating historical framework that sets off the technical material. This approach to geometrical ideas gives the book its unique, readablestyle. The author has included a wide range of unusual and engaging geometric problems, many of which are taken from practical applications, drawn from sources ranging from ancient to modern. The study of geometry has been an important element of education in Europe since the time of the Greeks.This book helps us to understand why such emphasis has been placed on obtaining a good understanding of geometry. But the history presented here is not confined to the Western tradition. Examples drawn from other cultures, particularly Chinese and Indian, underscore the peculiarities of thegeometry we have inherited from the Greeks, and thereby make Euclid's approach more accessible. Book reviews from the hardback: 'He has written a marvellous tale of how, throughout much of recorded history, geometrical thinking and civilisation have been closely intertwined. ...Definitely a bookto dip into and reflect on a superior form of brainfood for the beach this summer perhaps? Heilbron's enthusiasm is contagious.' Ian Stewart, New Scientist 'The book is wonderfully illustrated. There are diagrams on almost every page, apt illustrations from older books, and well chosenphotographs, together with eight colour plates. The appearance of the book is quite seductive, for which Oxford University Press should be congratulated.' Jeremy Gray, Nature 'This is a handsome book, well researched and entertainingly written. It shows how powerfully a historically informedaccount can communicate. If you thought Euclidean geometry was something only your great-grandparents did - try it, you will be surprised.' BJune Barrow-Green, The TIMES Higher Education Supplement

## Greek Geometry From Thales To Euclid

**Author :**George Johnston Allman

**ISBN :**HARVARD:32044029030467

**Genre :**Geometry

**File Size :**47. 70 MB

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## Non Euclidean Geometry

**Author :**Roberto Bonola

**ISBN :**9780486155036

**Genre :**Mathematics

**File Size :**21. 35 MB

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Examines various attempts to prove Euclid's parallel postulate — by the Greeks, Arabs, and Renaissance mathematicians. It considers forerunners and founders such as Saccheri, Lambert, Legendre, W. Bolyai, Gauss, others. Includes 181 diagrams.

## The History Of The Geometry Curriculum In The United States

**Author :**Nathalie Sinclair

**ISBN :**9781593116972

**Genre :**Education

**File Size :**64. 50 MB

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This volume investigates the evolution of the geometry curriculum in the United States over the past 150 years. A primary goal is to increase awareness of the shape and nature of the current geometry curriculum by explaining how things have come to be as they are. Given the limited access to first-hand accounts of the enacted geometry curriculum during the past 150 years, the monograph relies on textbooks to provide a record of the implemented curriculum at any given point in time. Policy documents can provide insight into the choices made in textbooks by hinting at the issues considered and the recommendations made. The monograph is organized in a chronological sequence of notable events leading to discernable changes in thinking about the geometry curriculum over the past century and a half - roughly the extent of time during which geometry has been taught in American schools. Notable events include important reports or commissions, influential texts, new schools of thought, and developments in learning technologies. curriculum; the nature of mathematical activity as construed by both mathematicians and mathematics educators; and, the resources students are given for engaging in mathematical activity. Before embarking through the notable events, it is necessary to consider the big bang of geometry, namely the moment in time that shaped the future life of the geometry curriculum. This corresponds to the emergence of Euclidean geometry. Given its influence on the shape of the geometry curriculum, familiarity with the nature of the geometry articulated in Euclid's Elements is essential to understanding the many tensions that surround the school geometry curriculum. Several themes emerge over the course of the monograph, and include: the aims and means of the geometry curriculum, the importance of proof in geometry, the role of visualization and tactile experiences, the fusion between solid and plane geometry, the curricular connections between geometry and algebra, and the use of motion and continuity. The intended audience would include curriculum developers, researchers, teachers, and curriculum supervisors.

## Elementary Algebra With Brief Notices Of Its History

**Author :**Robert Potts

**ISBN :**OXFORD:590803000

**Genre :**

**File Size :**50. 35 MB

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## Notes On The History Methods And Technological Importance Of Descriptive Geometry

**Author :**Alexander W. Cunningham

**ISBN :**WISC:89011307402

**Genre :**Geometry, Descriptive

**File Size :**55. 1 MB

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## The Elementary Geometry Of Conics

**Author :**Charles Taylor

**ISBN :**OXFORD:590964866

**Genre :**Conic sections

**File Size :**51. 11 MB

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## The School Edition Euclid S Elements Of Geometry The First Six Books By R Potts Corrected And Enlarged Corrected And Improved Including Portions Of Book 11 12

**Author :**Euclides

**ISBN :**OXFORD:590345101

**Genre :**

**File Size :**68. 74 MB

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## Euclid S Elements Of Geometry The First Book With Explanatory Notes C By R Potts Corrected And Improved

**Author :**Euclides

**ISBN :**OXFORD:600050049

**Genre :**

**File Size :**65. 72 MB

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## Euclid S Elements Of Geometry The First Two Books With Explanatory Notes C By R Potts Corrected And Improved

**Author :**Euclides

**ISBN :**OXFORD:600050048

**Genre :**

**File Size :**89. 18 MB

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## Euclid S Elements Of Geometry

**Author :**Robert Potts

**ISBN :**BNC:1001925984

**Genre :**

**File Size :**25. 40 MB

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## An Elementary Treatise On Solid Geometry

**Author :**William Steadman Aldis

**ISBN :**WISC:89068929207

**Genre :**Geometry, Analytic

**File Size :**54. 36 MB

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## The Teaching And History Of Mathematics In The United States

**Author :**Florian Cajori

**ISBN :**UOM:39015067088156

**Genre :**Mathematics

**File Size :**44. 39 MB

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## A History Of Geometrical Methods

**Author :**Julian Lowell Coolidge

**ISBN :**9780486158532

**Genre :**Mathematics

**File Size :**74. 43 MB

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Full, authoritative history of the techniques for dealing with geometric equations covers development of projective geometry from ancient to modern times, explaining the original works. 1940 edition.

## The Speaker

**Author :**

**ISBN :**UCAL:C2604838

**Genre :**

**File Size :**55. 74 MB

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