Euclid's Elements Redux PDF Download
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Author: John Casey
Publisher: Lulu.com
ISBN: 9781312110786
Category :
Languages : en
Pages : 464
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Book Description
""Euclid's 'Elements' Redux"" is an open textbook on mathematical logic and geometry for use in grades 7-12 and in undergraduate college courses on proof writing. It is a new edition of the most successful textbook of all time, ""The Elements,"" compiled by Euclid around 300 BC. It contains several hundred exercises as well as a partial answer key. Although it is a copyrighted work, it is licensed under the Creative Commons Attribution-ShareAlike 4.0 International License. Download it for free at: http: //starrhorse.com/euclid/
Author: John Casey
Publisher: Lulu.com
ISBN: 9781312110786
Category :
Languages : en
Pages : 464
Get Book Here
Book Description
""Euclid's 'Elements' Redux"" is an open textbook on mathematical logic and geometry for use in grades 7-12 and in undergraduate college courses on proof writing. It is a new edition of the most successful textbook of all time, ""The Elements,"" compiled by Euclid around 300 BC. It contains several hundred exercises as well as a partial answer key. Although it is a copyrighted work, it is licensed under the Creative Commons Attribution-ShareAlike 4.0 International License. Download it for free at: http: //starrhorse.com/euclid/
Author: Euclid
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 544
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Book Description
"The book includes introductions, terminology and biographical notes, bibliography, and an index and glossary" --from book jacket.
Author: Robin Hartshorne
Publisher: Springer Science & Business Media
ISBN: 0387226761
Category : Mathematics
Languages : en
Pages : 535
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Book Description
This book offers a unique opportunity to understand the essence of one of the great thinkers of western civilization. A guided reading of Euclid's Elements leads to a critical discussion and rigorous modern treatment of Euclid's geometry and its more recent descendants, with complete proofs. Topics include the introduction of coordinates, the theory of area, history of the parallel postulate, the various non-Euclidean geometries, and the regular and semi-regular polyhedra.
Author: Paul J. Nahin
Publisher: Princeton University Press
ISBN: 0691175918
Category : Mathematics
Languages : en
Pages : 416
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Book Description
In the mid-eighteenth century, Swiss-born mathematician Leonhard Euler developed a formula so innovative and complex that it continues to inspire research, discussion, and even the occasional limerick. Dr. Euler's Fabulous Formula shares the fascinating story of this groundbreaking formula—long regarded as the gold standard for mathematical beauty—and shows why it still lies at the heart of complex number theory. In some ways a sequel to Nahin's An Imaginary Tale, this book examines the many applications of complex numbers alongside intriguing stories from the history of mathematics. Dr. Euler's Fabulous Formula is accessible to any reader familiar with calculus and differential equations, and promises to inspire mathematicians for years to come.
Author: Violet Moller
Publisher: Pan Macmillan
ISBN: 150982961X
Category : History
Languages : en
Pages : 421
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Book Description
'Violet Moller brings to life the ways in which knowledge reached us from antiquity to the present day in a book that is as delightful as it is readable.' – Peter Frankopan, author of The Silk Roads In The Map of Knowledge Violet Moller traces the journey taken by the ideas of three of the greatest scientists of antiquity – Euclid, Galen and Ptolemy – through seven cities and over a thousand years. In it, we follow them from sixth-century Alexandria to ninth-century Baghdad. From Muslim Cordoba to Catholic Toledo. From Salerno’s medieval medical school to Palermo, capital of Sicily’s vibrant mix of cultures. And – finally – to Venice, where that great merchant city’s printing presses would enable Euclid’s geometry, Ptolemy’s system of the stars and Galen’s vast body of writings on medicine to spread even more widely. In tracing these fragile strands of knowledge from century to century, from east to west and north to south, Moller also reveals the web of connections between the Islamic world and Christendom. Connections that would both preserve and transform astronomy, mathematics and medicine from the early Middle Ages to the Renaissance. Vividly told and with a dazzling cast of characters, The Map of Knowledge is an evocative, nuanced and vibrant account of our common intellectual heritage. 'An endlessly fascinating book, rich in detail, capacious and humane in vision.' – Stephen Greenblatt, author of The Swerve: How the World Became Modern
Author: Antoine Arnauld
Publisher:
ISBN:
Category : Logic
Languages : en
Pages : 414
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Book Description
Author: Michael Hvidsten
Publisher: CRC Press
ISBN: 1498760988
Category : Mathematics
Languages : en
Pages : 532
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Book Description
Exploring Geometry, Second Edition promotes student engagement with the beautiful ideas of geometry. Every major concept is introduced in its historical context and connects the idea with real-life. A system of experimentation followed by rigorous explanation and proof is central. Exploratory projects play an integral role in this text. Students develop a better sense of how to prove a result and visualize connections between statements, making these connections real. They develop the intuition needed to conjecture a theorem and devise a proof of what they have observed. Features: Second edition of a successful textbook for the first undergraduate course Every major concept is introduced in its historical context and connects the idea with real life Focuses on experimentation Projects help enhance student learning All major software programs can be used; free software from author
Author: Matthew Harvey
Publisher: The Mathematical Association of America
ISBN: 1939512115
Category : Mathematics
Languages : en
Pages : 561
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Book Description
Geometry Illuminated is an introduction to geometry in the plane, both Euclidean and hyperbolic. It is designed to be used in an undergraduate course on geometry, and as such, its target audience is undergraduate math majors. However, much of it should be readable by anyone who is comfortable with the language of mathematical proof. Throughout, the goal is to develop the material patiently. One of the more appealing aspects of geometry is that it is a very "visual" subject. This book hopes to takes full advantage of that, with an extensive use of illustrations as guides. Geometry Illuminated is divided into four principal parts. Part 1 develops neutral geometry in the style of Hilbert, including a discussion of the construction of measure in that system, ultimately building up to the Saccheri-Legendre Theorem. Part 2 provides a glimpse of classical Euclidean geometry, with an emphasis on concurrence results, such as the nine-point circle. Part 3 studies transformations of the Euclidean plane, beginning with isometries and ending with inversion, with applications and a discussion of area in between. Part 4 is dedicated to the development of the Poincaré disk model, and the study of geometry within that model. While this material is traditional, Geometry Illuminated does bring together topics that are generally not found in a book at this level. Most notably, it explicitly computes parametric equations for the pseudosphere and its geodesics. It focuses less on the nature of axiomatic systems for geometry, but emphasizes rather the logical development of geometry within such a system. It also includes sections dealing with trilinear and barycentric coordinates, theorems that can be proved using inversion, and Euclidean and hyperbolic tilings.
Author: Barry Cullingworth
Publisher: Routledge
ISBN: 1134538138
Category : Architecture
Languages : en
Pages : 499
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Book Description
This extensively revised and updated edition of Planning in the USA continues to provide a comprehensive introduction to the policies, theory and practice of planning. Outlining land use, urban planning and environmental protection policies, this fully illustrated book explains the nature of the planning process and the way in which policy issues are identified, defined and approached.
Author: Colin Howson
Publisher: Oxford University Press
ISBN: 0198250371
Category : Philosophy
Languages : en
Pages : 272
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Book Description
This volume offers a solution to one of the central, unsolved problems of Western philosophy, that of induction. It explores the implications of Hume's argument that successful prediction tells us nothing about the truth of the predicting theory.
