Euclid's Elements

Euclid's Elements PDF Author: Euclid
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 544

Get Book Here

Book Description
"The book includes introductions, terminology and biographical notes, bibliography, and an index and glossary" --from book jacket.

Euclid's Elements

Euclid's Elements PDF Author: Euclid
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 544

Get Book Here

Book Description
"The book includes introductions, terminology and biographical notes, bibliography, and an index and glossary" --from book jacket.

A Treatise of Geometry, Containing the First Six Books of Euclid's Elements

A Treatise of Geometry, Containing the First Six Books of Euclid's Elements PDF Author: Daniel Cresswell
Publisher:
ISBN:
Category : Geometry
Languages : en
Pages : 540

Get Book Here

Book Description


The Four Pillars of Geometry

The Four Pillars of Geometry PDF Author: John Stillwell
Publisher: Springer Science & Business Media
ISBN: 0387255303
Category : Mathematics
Languages : en
Pages : 240

Get Book Here

Book Description
This book is unique in that it looks at geometry from 4 different viewpoints - Euclid-style axioms, linear algebra, projective geometry, and groups and their invariants Approach makes the subject accessible to readers of all mathematical tastes, from the visual to the algebraic Abundantly supplemented with figures and exercises

Geometry: Euclid and Beyond

Geometry: Euclid and Beyond PDF Author: Robin Hartshorne
Publisher: Springer Science & Business Media
ISBN: 0387226761
Category : Mathematics
Languages : en
Pages : 535

Get Book Here

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.

The Elements of Non-Euclidean Geometry

The Elements of Non-Euclidean Geometry PDF Author: Duncan M'Laren Young Sommerville
Publisher:
ISBN:
Category : Bell's mathematical series for schools and colleges
Languages : en
Pages : 588

Get Book Here

Book Description


Euclid in Greek

Euclid in Greek PDF Author: Euclid
Publisher: CUP Archive
ISBN:
Category : Euclid's Elements
Languages : en
Pages : 264

Get Book Here

Book Description


Measurement

Measurement PDF Author: Paul Lockhart
Publisher: Harvard University Press
ISBN: 0674071174
Category : Mathematics
Languages : en
Pages : 268

Get Book Here

Book Description
Paul Lockhart’s Mathematician’s Lament outlined how we introduce math to students in the wrong way. Measurement explains how math should be done. With plain English and pictures, Lockhart makes complex ideas about shape and motion intuitive and graspable, and offers a solution to math phobia by introducing us to math as an artful way of thinking and living. In conversational prose that conveys his passion for the subject, Lockhart makes mathematics accessible without oversimplifying. He makes no more attempt to hide the challenge of mathematics than he does to shield us from its beautiful intensity. Favoring plain English and pictures over jargon and formulas, he succeeds in making complex ideas about the mathematics of shape and motion intuitive and graspable. His elegant discussion of mathematical reasoning and themes in classical geometry offers proof of his conviction that mathematics illuminates art as much as science. Lockhart leads us into a universe where beautiful designs and patterns float through our minds and do surprising, miraculous things. As we turn our thoughts to symmetry, circles, cylinders, and cones, we begin to see that almost anyone can “do the math” in a way that brings emotional and aesthetic rewards. Measurement is an invitation to summon curiosity, courage, and creativity in order to experience firsthand the playful excitement of mathematical work.

The First Six Books of the Elements of Euclid

The First Six Books of the Elements of Euclid PDF Author: Euclid
Publisher: Ancient Wisdom Publications
ISBN: 9781963956184
Category : Education
Languages : en
Pages : 0

Get Book Here

Book Description
Very little is known of Euclid's life, and most information comes from the scholars Proclus and Pappus of Alexandria many centuries later. Medieval Islamic mathematicians invented a fanciful biography, and medieval Byzantine and early Renaissance scholars mistook him for the earlier philosopher Euclid of Megara. It is now generally accepted that he spent his career in Alexandria and lived around 300 BC, after Plato's students and before Archimedes. There is some speculation that Euclid studied at the Platonic Academy and later taught at the Musaeum; he is regarded as bridging the earlier Platonic tradition in Athens with the later tradition of Alexandria. In the Elements, Euclid deduced the theorems from a small set of axioms. He also wrote works on perspective, conic sections, spherical geometry, number theory, and mathematical rigour. In addition to the Elements, Euclid wrote a central early text in the optics field, Optics, and lesser-known works including Data and Phaenomena. Euclid's authorship of two other texts-On Divisions of Figures, Catoptrics-has been questioned. He is thought to have written many now lost works.

Euclid's Window

Euclid's Window PDF Author: Leonard Mlodinow
Publisher: Simon and Schuster
ISBN: 1439135371
Category : Science
Languages : en
Pages : 326

Get Book Here

Book Description
Through Euclid's Window Leonard Mlodinow brilliantly and delightfully leads us on a journey through five revolutions in geometry, from the Greek concept of parallel lines to the latest notions of hyperspace. Here is an altogether new, refreshing, alternative history of math revealing how simple questions anyone might ask about space -- in the living room or in some other galaxy -- have been the hidden engine of the highest achievements in science and technology. Based on Mlodinow's extensive historical research; his studies alongside colleagues such as Richard Feynman and Kip Thorne; and interviews with leading physicists and mathematicians such as Murray Gell-Mann, Edward Witten, and Brian Greene, Euclid's Window is an extraordinary blend of rigorous, authoritative investigation and accessible, good-humored storytelling that makes a stunningly original argument asserting the primacy of geometry. For those who have looked through Euclid's Window, no space, no thing, and no time will ever be quite the same.

Advanced Euclidean Geometry

Advanced Euclidean Geometry PDF Author: Roger A. Johnson
Publisher: Courier Corporation
ISBN: 048615498X
Category : Mathematics
Languages : en
Pages : 338

Get Book Here

Book Description
This classic text explores the geometry of the triangle and the circle, concentrating on extensions of Euclidean theory, and examining in detail many relatively recent theorems. 1929 edition.