Search Results for "euclid-s-elements-book-one-with-questions-for-discussion"

Euclid's Elements Book One with Questions for Discussion

Euclid's Elements Book One with Questions for Discussion

  • Author: Dana Densmore
  • Publisher: N.A
  • ISBN: 9781888009460
  • Category: Mathematics
  • Page: 102
  • View: 7251
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Presents Book One of Euclid's Elements for students in humanities and for general readers. This treatment raises deep questions about the nature of human reason and its relation to the world. Dana Densmore's Questions for Discussion are intended as examples, to urge readers to think more carefully about what they are watching unfold, and to help them find their own questions in a genuine and exhilarating inquiry.

Euclid's Elements

Euclid's Elements

all thirteen books complete in one volume : the Thomas L. Heath translation

  • Author: Euclid,Dana Densmore
  • Publisher: Green Lion Pr
  • ISBN: N.A
  • Category: Mathematics
  • Page: 499
  • View: 7715
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The classic Heath translation, in a completely new layout with plenty of space and generous margins. An affordable but sturdy sewn hardcover student and teacher edition in one volume, with minimal notes and a new index/glossary.

The Elements of Euclid

The Elements of Euclid

  • Author: Euclid
  • Publisher: N.A
  • ISBN: N.A
  • Category: Geometry
  • Page: 416
  • View: 3787
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Philosophy of Mathematics and Deductive Structure in Euclid's Elements

Philosophy of Mathematics and Deductive Structure in Euclid's Elements

  • Author: Ian Mueller
  • Publisher: Courier Corporation
  • ISBN: 0486150879
  • Category: Mathematics
  • Page: 400
  • View: 3736
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This text provides an understanding of the classical Greek conception of mathematics as expressed in Euclid's Elements. It focuses on philosophical, foundational, and logical questions and features helpful appendixes.

Euclid—The Creation of Mathematics

Euclid—The Creation of Mathematics

  • Author: Benno Artmann
  • Publisher: Springer Science & Business Media
  • ISBN: 1461214122
  • Category: Mathematics
  • Page: 349
  • View: 7476
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Euclid presents the essential of mathematics in a manner which has set a high standard for more than 2000 years. This book, an explanation of the nature of mathematics from its most important early source, is for all lovers of mathematics with a solid background in high school geometry, whether they be students or university professors.

Geometry: Euclid and Beyond

Geometry: Euclid and Beyond

  • Author: Robin Hartshorne
  • Publisher: Springer Science & Business Media
  • ISBN: 0387226761
  • Category: Mathematics
  • Page: 528
  • View: 3511
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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 King of Infinite Space

The King of Infinite Space

Euclid and His Elements

  • Author: David Berlinski
  • Publisher: Basic Books
  • ISBN: 0465038638
  • Category: Mathematics
  • Page: 176
  • View: 447
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Geometry defines the world around us, helping us make sense of everything from architecture to military science to fashion. And for over two thousand years, geometry has been equated with Euclid's Elements, arguably the most influential book in the history of mathematics In The King of Infinite Space, renowned mathematics writer David Berlinski provides a concise homage to this elusive mathematician and his staggering achievements. Berlinski shows that, for centuries, scientists and thinkers from Copernicus to Newton to Einstein have relied on Euclid's axiomatic system, a method of proof still taught in classrooms around the world. Euclid's use of elemental logic—and the mathematical statements he and others built from it—have dramatically expanded the frontiers of human knowledge. The King of Infinite Space presents a rich, accessible treatment of Euclid and his beautifully simple geometric system, which continues to shape the way we see the world.

Journey into Mathematics

Journey into Mathematics

An Introduction to Proofs

  • Author: Joseph J. Rotman
  • Publisher: Courier Corporation
  • ISBN: 0486151689
  • Category: Mathematics
  • Page: 256
  • View: 1066
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This treatment covers the mechanics of writing proofs, the area and circumference of circles, and complex numbers and their application to real numbers. 1998 edition.

Elements of Mathematics

Elements of Mathematics

From Euclid to Gödel

  • Author: John Stillwell
  • Publisher: Princeton University Press
  • ISBN: 1400880564
  • Category: Mathematics
  • Page: 440
  • View: 3785
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Elements of Mathematics takes readers on a fascinating tour that begins in elementary mathematics—but, as John Stillwell shows, this subject is not as elementary or straightforward as one might think. Not all topics that are part of today's elementary mathematics were always considered as such, and great mathematical advances and discoveries had to occur in order for certain subjects to become "elementary." Stillwell examines elementary mathematics from a distinctive twenty-first-century viewpoint and describes not only the beauty and scope of the discipline, but also its limits. From Gaussian integers to propositional logic, Stillwell delves into arithmetic, computation, algebra, geometry, calculus, combinatorics, probability, and logic. He discusses how each area ties into more advanced topics to build mathematics as a whole. Through a rich collection of basic principles, vivid examples, and interesting problems, Stillwell demonstrates that elementary mathematics becomes advanced with the intervention of infinity. Infinity has been observed throughout mathematical history, but the recent development of "reverse mathematics" confirms that infinity is essential for proving well-known theorems, and helps to determine the nature, contours, and borders of elementary mathematics. Elements of Mathematics gives readers, from high school students to professional mathematicians, the highlights of elementary mathematics and glimpses of the parts of math beyond its boundaries.

Experimental Researches in Electricity

Experimental Researches in Electricity

  • Author: Michael Faraday
  • Publisher: N.A
  • ISBN: N.A
  • Category: Electricity
  • Page: 302
  • View: 9124
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Euclid's Book on Divisions of Figures

Euclid's Book on Divisions of Figures

With a Restoration Based on Woepcke's Text and on the Practica Geometriae of Leonardo Pisano (Classic Reprint)

  • Author: Raymond Clare Archibald
  • Publisher: CUP Archive
  • ISBN: N.A
  • Category: Mathematics
  • Page: 102
  • View: 8903
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Excerpt from Euclid's Book on Divisions of Figures: With a Restoration Based on Woepcke's d104 and on the Practica Geometriae of Leonardo Pisano I. In all the problems it is required to divide the proposed figure into two parts having a given ratio. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.

Euclidean Geometry

Euclidean Geometry

A First Course

  • Author: Mark Solomonovich
  • Publisher: iUniverse
  • ISBN: 1440153485
  • Category: Education
  • Page: 408
  • View: 5665
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This textbook is a self-contained presentation of Euclidean Geometry, a subject that has been a core part of school curriculum for centuries. The discussion is rigorous, axiom-based, written in a traditional manner, true to the Euclidean spirit. Transformations in the Euclidean plane are included as part of the axiomatics and as a tool for solving construction problems. The textbook can be used for teaching a high school or an introductory level college course. It can be especially recommended for schools with enriched mathematical programs and for homeschoolers looking for a rigorous traditional discussion of geometry. The text is supplied with over 1200 questions and problems, ranging from simple to challenging. The solutions sections of the book contain about 200 answers and hints to solutions and over 100 detailed solutions involving proofs and constructions. More solutions and some supplements for teachers are available in the Instructor?s Manual, which is issued as a separate book. From the Reviews... ?In terms of presentation, this text is more rigorous than any existing high school textbook that I know of. It is based on a system of axioms that describe incidence, postulate a notion of congruence of line segments, and assume the existence of enough rigid motions ("free mobility")? My gut reaction to the book is, wouldn't it be wonderful if American high school students could be exposed to this serious mathematical treatment of elementary geometry, instead of all the junk that is presented to them in existing textbooks. This book makes no concession to the TV-generation of students who want (or is it the publishers who want it for them?) pretty pictures, side bars, puzzles, games, historical references, cartoons, and all those colored images that clutter the pages of a typical modern textbook, while the mathematical content is diluted more and more with each successive edition.? Professor Robin Hartshorne, University of California at Berkeley. ?The textbook ?Euclidean Geometry? by Mark Solomonovich fills a big gap in the plethora of mathematical textbooks ? it provides an exposition of classical geometry with emphasis on logic and rigorous proofs? I would be delighted to see this textbook used in Canadian schools in the framework of an improved geometry curriculum. Until this day comes, I highly recommend ?Euclidean Geometry? by Mark Solomonovich to be used in Mathematics Enrichment Programs across Canada and the USA.? Professor Yuly Billig, Carlton University.

The Lagoon

The Lagoon

How Aristotle Invented Science

  • Author: Armand Marie Leroi
  • Publisher: Penguin
  • ISBN: 0698170393
  • Category: Science
  • Page: 512
  • View: 463
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A brilliant study of Aristotle as biologist The philosophical classics of Aristotle loom large over the history of Western thought, but the subject he most loved was biology. He wrote vast volumes about animals. He described them, classified them, told us where and how they live and how they develop in the womb or in the egg. He founded a science. It can even be said that he founded science itself. In The Lagoon, acclaimed biologist Armand Marie Leroi recovers Aristotle’s science. He revisits Aristotle’s writings and the places where he worked. He goes to the eastern Aegean island of Lesbos to see the creatures that Aristotle saw, where he saw them. He explores Aristotle’s observations, his deep ideas, his inspired guesses—and the things he got wildly wrong. He shows how Aristotle’s science is deeply intertwined with his philosophical system and reveals that he was not only the first biologist, but also one of the greatest. The Lagoon is both a travelogue and a study of the origins of science. And it shows how a philosopher who lived almost two millennia ago still has so much to teach us today. From the Hardcover edition.

Newton's Principia

Newton's Principia

the central argument

  • Author: Sir Isaac Newton,Dana Densmore
  • Publisher: Green Lion Pr
  • ISBN: N.A
  • Category: Mathematics
  • Page: 525
  • View: 3667
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Makes the great adventure of Principia available not only to modern scholars of history of science, but also to nonspecialist undergraduate students of humanities. It moves carefully from Newton's definitions and axioms through the essential propositions, as Newton himself identified them, to the establishment of universal gravitation and elliptical orbits. The guidebook unfolds what is implicit in Newton's words as he himself would have filled in the steps and completes the argument in ways that are authentic and not anachronistic, exactly following Newton's thinking rather than substituting tools of modern calculus or the formulations of modern physics. It is Newton in his own terms. This is a wonderful book. --Richard S. Westfall

Euclid's Window

Euclid's Window

The Story of Geometry from Parallel Lines to Hyperspace

  • Author: Leonard Mlodinow
  • Publisher: Simon and Schuster
  • ISBN: 9781439135372
  • Category: Science
  • Page: 320
  • View: 9303
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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.

The First Six Books of the Elements of Euclid

The First Six Books of the Elements of Euclid

In which Coloured Diagrams and Symbols are Used Instead of Letters for the Greater Ease of Learners

  • Author: Oliver Byrne
  • Publisher: N.A
  • ISBN: N.A
  • Category: Elements
  • Page: 268
  • View: 2959
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Perspectives on Projective Geometry

Perspectives on Projective Geometry

A Guided Tour Through Real and Complex Geometry

  • Author: Jürgen Richter-Gebert
  • Publisher: Springer Science & Business Media
  • ISBN: 9783642172861
  • Category: Mathematics
  • Page: 571
  • View: 6223
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Projective geometry is one of the most fundamental and at the same time most beautiful branches of geometry. It can be considered the common foundation of many other geometric disciplines like Euclidean geometry, hyperbolic and elliptic geometry or even relativistic space-time geometry. This book offers a comprehensive introduction to this fascinating field and its applications. In particular, it explains how metric concepts may be best understood in projective terms. One of the major themes that appears throughout this book is the beauty of the interplay between geometry, algebra and combinatorics. This book can especially be used as a guide that explains how geometric objects and operations may be most elegantly expressed in algebraic terms, making it a valuable resource for mathematicians, as well as for computer scientists and physicists. The book is based on the author’s experience in implementing geometric software and includes hundreds of high-quality illustrations.

Advanced Euclidean Geometry

Advanced Euclidean Geometry

  • Author: Roger A. Johnson
  • Publisher: Courier Corporation
  • ISBN: 048615498X
  • Category: Mathematics
  • Page: 336
  • View: 5681
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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.

The Kitchy Kitchen

The Kitchy Kitchen

New Classics for Living Deliciously

  • Author: Claire Thomas
  • Publisher: Simon and Schuster
  • ISBN: 1476710759
  • Category: Cooking
  • Page: 288
  • View: 4986
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A playful and delicious cookbook from the host of ABC’s Food for Thought with Claire Thomas and creator of the much loved food blog The Kitchy Kitchen. Every cook needs an arsenal of staples, whether for the perfect dinner party entrée to wow a crowd, or throw-it-together lunches for lazy afternoons…but we all know that the real fun comes in making basic recipes your own. The Kitchy Kitchen is tastemaker Claire Thomas’s solution for amping up your everyday culinary routine, introducing her approach to her own kitchen: loose, personal, unfussy, and most of all, fun. With new takes on classic favorites—think adding farmer’s market peaches to upgrade a BLT, spicing up tempura cauliflower with a zesty harissa sauce, or transforming basic red velvet cupcakes into decadent pancakes—this cookbook is filled with fresh, produce-driven recipes for every skill set and occasion. It’s your best friend and personal chef, all rolled into one. Gorgeously illustrated and peppered with stylish entertaining tips and quirky essays that will inspire you to take the recipes you love and make them new, The Kitchy Kitchen will make your life in the kitchen a little easier, a little more fabulous, and positively delicious.

The Encyclopædia Britannica

The Encyclopædia Britannica

A Dictionary of Arts, Sciences and General Literature

  • Author: N.A
  • Publisher: N.A
  • ISBN: N.A
  • Category: Encyclopedias and dictionaries
  • Page: N.A
  • View: 628
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