The Pythagorean Theorem

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Publisher : Princeton University Press
ISBN 13 : 0691196885
Total Pages : 284 pages
Book Rating : 4.6/5 (911 download)

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Book Synopsis The Pythagorean Theorem by : Eli Maor

Download or read book The Pythagorean Theorem written by Eli Maor and published by Princeton University Press. This book was released on 2019-11-19 with total page 284 pages. Available in PDF, EPUB and Kindle. Book excerpt: An exploration of one of the most celebrated and well-known theorems in mathematics By any measure, the Pythagorean theorem is the most famous statement in all of mathematics. In this book, Eli Maor reveals the full story of this ubiquitous geometric theorem. Although attributed to Pythagoras, the theorem was known to the Babylonians more than a thousand years earlier. Pythagoras may have been the first to prove it, but his proof—if indeed he had one—is lost to us. The theorem itself, however, is central to almost every branch of science, pure or applied. Maor brings to life many of the characters that played a role in its history, providing a fascinating backdrop to perhaps our oldest enduring mathematical legacy.

Pythagoras

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Publisher : Icon Books
ISBN 13 : 9781848312319
Total Pages : 368 pages
Book Rating : 4.3/5 (123 download)

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Book Synopsis Pythagoras by : Kitty Ferguson

Download or read book Pythagoras written by Kitty Ferguson and published by Icon Books. This book was released on 2011 with total page 368 pages. Available in PDF, EPUB and Kindle. Book excerpt: The enthralling story of Pythagoras and the Pythagoreans, whose insight transformed the ancient world and still inspire the realms of science, mathematics, philosophy and the arts. Einstein said that the most incredible thing about our universe was that it was comprehensible at all. As Kitty Ferguson explains in this eye-opening new book, Pythagoras had much the same idea - but 2,500 years earlier. Though many know him only for the so-called Pythagorean theorem, in fact the pillars of our scientific tradition - the belief that the universe is rational, that there is unity to all things, and that numbers and mathematics are a powerful guide to truth about nature and the cosmos - hark back to the convictions of this legendary scholar and his ancient followers. Alongside the poignant human saga, Kitty Ferguson brilliantly evokes Pythagoras' ancient world, showing how his ideas spread in antiquity and in the Middle Ages, and chronicles the incredible influence he and his followers have had on extraordinary people - from Plato to Bertrand Russell - throughout the history of Western thought and science.

The Metaphysics of the Pythagorean Theorem

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Publisher : State University of New York Press
ISBN 13 : 1438464916
Total Pages : 301 pages
Book Rating : 4.4/5 (384 download)

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Book Synopsis The Metaphysics of the Pythagorean Theorem by : Robert Hahn

Download or read book The Metaphysics of the Pythagorean Theorem written by Robert Hahn and published by State University of New York Press. This book was released on 2017-05-01 with total page 301 pages. Available in PDF, EPUB and Kindle. Book excerpt: Bringing together geometry and philosophy, this book undertakes a strikingly original study of the origins and significance of the Pythagorean theorem. Thales, whom Aristotle called the first philosopher and who was an older contemporary of Pythagoras, posited the principle of a unity from which all things come, and back into which they return upon dissolution. He held that all appearances are only alterations of this basic unity and there can be no change in the cosmos. Such an account requires some fundamental geometric figure out of which appearances are structured. Robert Hahn argues that Thales came to the conclusion that it was the right triangle: by recombination and repackaging, all alterations can be explained from that figure. This idea is central to what the discovery of the Pythagorean theorem could have meant to Thales and Pythagoras in the sixth century BCE. With more than two hundred illustrations and figures, Hahn provides a series of geometric proofs for this lost narrative, tracing it from Thales to Pythagoras and the Pythagoreans who followed, and then finally to Plato's Timaeus. Uncovering the philosophical motivation behind the discovery of the theorem, Hahn's book will enrich the study of ancient philosophy and mathematics alike.

The Modern Pythagorean

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Publisher :
ISBN 13 :
Total Pages : 502 pages
Book Rating : 4.:/5 (334 download)

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Book Synopsis The Modern Pythagorean by : Robert Macnish

Download or read book The Modern Pythagorean written by Robert Macnish and published by . This book was released on 1838 with total page 502 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Math with Bad Drawings

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Publisher : Black Dog & Leventhal
ISBN 13 : 0316509027
Total Pages : 556 pages
Book Rating : 4.3/5 (165 download)

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Book Synopsis Math with Bad Drawings by : Ben Orlin

Download or read book Math with Bad Drawings written by Ben Orlin and published by Black Dog & Leventhal. This book was released on 2018-09-18 with total page 556 pages. Available in PDF, EPUB and Kindle. Book excerpt: A hilarious reeducation in mathematics-full of joy, jokes, and stick figures-that sheds light on the countless practical and wonderful ways that math structures and shapes our world. In Math With Bad Drawings, Ben Orlin reveals to us what math actually is; its myriad uses, its strange symbols, and the wild leaps of logic and faith that define the usually impenetrable work of the mathematician. Truth and knowledge come in multiple forms: colorful drawings, encouraging jokes, and the stories and insights of an empathetic teacher who believes that math should belong to everyone. Orlin shows us how to think like a mathematician by teaching us a brand-new game of tic-tac-toe, how to understand an economic crises by rolling a pair of dice, and the mathematical headache that ensues when attempting to build a spherical Death Star. Every discussion in the book is illustrated with Orlin's trademark "bad drawings," which convey his message and insights with perfect pitch and clarity. With 24 chapters covering topics from the electoral college to human genetics to the reasons not to trust statistics, Math with Bad Drawings is a life-changing book for the math-estranged and math-enamored alike.

Pythagoras and the Pythagoreans

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Publisher : Hackett Publishing
ISBN 13 : 1603846824
Total Pages : 209 pages
Book Rating : 4.6/5 (38 download)

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Book Synopsis Pythagoras and the Pythagoreans by : Charles H. Kahn

Download or read book Pythagoras and the Pythagoreans written by Charles H. Kahn and published by Hackett Publishing. This book was released on 2001-09-30 with total page 209 pages. Available in PDF, EPUB and Kindle. Book excerpt: A fascinating portrait of the Pythagorean tradition, including a substantial account of the Neo-Pythagorean revival, and ending with Johannes Kepler on the threshold of modernism.

Pythagoras

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Author :
Publisher : Nicolas-Hays, Inc.
ISBN 13 : 0892545879
Total Pages : 357 pages
Book Rating : 4.8/5 (925 download)

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Book Synopsis Pythagoras by : Thomas Stanley

Download or read book Pythagoras written by Thomas Stanley and published by Nicolas-Hays, Inc.. This book was released on 2010-05-01 with total page 357 pages. Available in PDF, EPUB and Kindle. Book excerpt: The timeless brilliance of this exhaustive survey of the best classical writers of antiquity on Pythagoras was first published in 1687 in Thomas Stanley’s massive tome, The History of Philosophy. It remains as contemporary today as it was over three hundred years ago. The text of the 1687 book has been reset and modernized to make it more accessible to the modern reader. Spelling has been regularized, obsolete words not found in a modern dictionary have been replaced, and contemporary conventions of punctuation have been used. Biographical sketches of Thomas Stanley and Pythagoras by Manly Palmer Hall, founder of the Philosophical Research Society, have been included, along with a profound overview of Pythagorean philosophy by Platonic scholar Dr. Henry L. Drake. The extensive Greek language references throughout the text have been corrected and contextualized, and reset in a modern Greek font. Each quotation has been verified with the source document in Greek. An extensive annotated appendix of these classical sources is included. A complete bibliography details all the reference works utilized, and a small Glossary defines a number of terms, especially those from musical theory, which may be unfamiliar to the non-technical reader.

The modern Pythagorean; tales, essays, and sketches. With the author's life by D.M. Moir

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Publisher :
ISBN 13 :
Total Pages : 502 pages
Book Rating : 4.R/5 (5 download)

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Book Synopsis The modern Pythagorean; tales, essays, and sketches. With the author's life by D.M. Moir by : Robert Macnish

Download or read book The modern Pythagorean; tales, essays, and sketches. With the author's life by D.M. Moir written by Robert Macnish and published by . This book was released on 1838 with total page 502 pages. Available in PDF, EPUB and Kindle. Book excerpt:

The Pythagorean Sourcebook and Library

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Publisher : Red Wheel/Weiser
ISBN 13 : 1609253949
Total Pages : 374 pages
Book Rating : 4.6/5 (92 download)

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Book Synopsis The Pythagorean Sourcebook and Library by : Kenneth Sylvan Guthrie

Download or read book The Pythagorean Sourcebook and Library written by Kenneth Sylvan Guthrie and published by Red Wheel/Weiser. This book was released on 1987-07-01 with total page 374 pages. Available in PDF, EPUB and Kindle. Book excerpt: This anthology, the largest collection of Pythagorean writings ever to appear in English, contains the four ancient biographies of Pythagoras and over 25 Pythagorean and Neopythagorean writings from the Classical and Hellenistic periods. The material of this book is indispensable for anyone who wishes to understand the real spiritual roots of Western civilization.

Pythagoras, the Immortal Sage

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Publisher : Health Research Books
ISBN 13 : 9780787301019
Total Pages : 78 pages
Book Rating : 4.3/5 (1 download)

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Book Synopsis Pythagoras, the Immortal Sage by : Raymond W. Bernard

Download or read book Pythagoras, the Immortal Sage written by Raymond W. Bernard and published by Health Research Books. This book was released on 1958 with total page 78 pages. Available in PDF, EPUB and Kindle. Book excerpt: No one who has ever lived has contributed more to the progress of mankind than Pythagoras. Without question the wisest man who ever lived, he was the first Greek to be called by the name of philosopher.

Pythagoras

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Publisher : Cornell University Press
ISBN 13 : 0801464900
Total Pages : 199 pages
Book Rating : 4.8/5 (14 download)

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Book Synopsis Pythagoras by : Christoph Riedweg

Download or read book Pythagoras written by Christoph Riedweg and published by Cornell University Press. This book was released on 2011-11-11 with total page 199 pages. Available in PDF, EPUB and Kindle. Book excerpt: One of the most important mathematical theorems is named after Pythagoras of Samos, but this semi-mythical Greek sage has more to offer than formulas. He is said to have discovered the numerical nature of the basic consonances and transposed the musical proportions to the cosmos, postulating a "harmony of the spheres." He may have coined the words "cosmos" and "philosophy." He is also believed to have taught the doctrine of transmigration of souls and therefore to have advised a vegetarian diet. Ancient legends have Pythagoras conversing with dogs, bears, and bulls. A distinctly Pythagorean way of life, including detailed ritual regulations, was observed by his disciples, who were organized as a secret society. Later, Pythagorean and Platonic teachings became fused. In this Platonized form, Pythagoreanism has remained influential through medieval Christianity and the Renaissance down to the present. Christoph Riedweg's book is an engaging introduction to the fundamental contributions of Pythagoras to the establishment of European culture. To penetrate the intricate maze of lore and ascertain what history can tell us about the philosopher, Riedweg not only examines the written record but also considers Pythagoras within the cultural, intellectual, and spiritual context of his times. The result is a vivid overview of the life and teachings of a crucial Greek thinker and his most important followers.

The Pythagorean Theorem

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Publisher : WestBow Press
ISBN 13 : 1512727539
Total Pages : 121 pages
Book Rating : 4.5/5 (127 download)

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Book Synopsis The Pythagorean Theorem by : Merle A. Barlow

Download or read book The Pythagorean Theorem written by Merle A. Barlow and published by WestBow Press. This book was released on 2016-02-05 with total page 121 pages. Available in PDF, EPUB and Kindle. Book excerpt: Pythagoras, a famous Greek scholar, sathematician, and philosopher, formulated a proof for a theorem that is named for him—the Pythagorean theorem. This theorem states that in any right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides. The Pythagorean theorem for right-angled triangles likely was known long before the time of Pythagoras. It was probably used by the ancient Egyptians to construct the pyramids. The theorem is quite believable without rigorous proof to anyone willing to expend a modest effort in some experimentation. One method is to draw a number of right-angled triangles in as wide a variety as practicable and measure all of the sides. It will be determined that, for each triangle drawn, the square of the length of the side opposite the right angle is about equal to the sum of the lengths of the squares of the other two sides. Another method requires the availability of a balance. For this more interesting experiment, construct a right-angled triangle and a square on each side using a piece of sheet metal or cardboard. Then cut out the three squares and weigh them on the balance. The square on the hypotenuse should balance the other two. Contained within this book are some rigorous proofs and some interesting perspectives regarding right angles and right-angled triangles. Doubtless, this theorem is one of the most useful concepts in mathematics.

Pythagoras' Revenge

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Publisher : Princeton University Press
ISBN 13 : 1400829909
Total Pages : 201 pages
Book Rating : 4.4/5 (8 download)

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Book Synopsis Pythagoras' Revenge by : Arturo Sangalli

Download or read book Pythagoras' Revenge written by Arturo Sangalli and published by Princeton University Press. This book was released on 2009-04-20 with total page 201 pages. Available in PDF, EPUB and Kindle. Book excerpt: The celebrated mathematician and philosopher Pythagoras left no writings. But what if he had and the manuscript was never found? Where would it be located? And what information would it reveal? These questions are the inspiration for the mathematical mystery novel Pythagoras' Revenge. Suspenseful and instructive, Pythagoras' Revenge weaves fact, fiction, mathematics, computer science, and ancient history into a surprising and sophisticated thriller. The intrigue begins when Jule Davidson, a young American mathematician who trolls the internet for difficult math riddles and stumbles upon a neo-Pythagorean sect searching for the promised reincarnation of Pythagoras. Across the ocean, Elmer Galway, a professor of classical history at Oxford, discovers an Arabic manuscript hinting at the existence of an ancient scroll--possibly left by Pythagoras himself. Unknown to one another, Jule and Elmer each have information that the other requires and, as they race to solve the philosophical and mathematical puzzles set before them, their paths ultimately collide. Set in 1998 with flashbacks to classical Greece, Pythagoras' Revenge investigates the confrontation between opposing views of mathematics and reality, and explores ideas from both early and cutting-edge mathematics. From academic Oxford to suburban Chicago and historic Rome, Pythagoras' Revenge is a sophisticated thriller that will grip readers from beginning to surprising end.

The Fifth Hammer

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Publisher :
ISBN 13 : 9781935408161
Total Pages : 0 pages
Book Rating : 4.4/5 (81 download)

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Book Synopsis The Fifth Hammer by : Daniel Heller-Roazen

Download or read book The Fifth Hammer written by Daniel Heller-Roazen and published by . This book was released on 2011 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: How the ordering of the sensible world continues to suggest a reality that no notes or letters can fully transcribe. An ancient tradition holds that Pythagoras discovered the secrets of harmony within a forge when he came across five men hammering with five hammers, producing a wondrous sound. Four of the five hammers stood in a marvelous set of proportions, harmonizing; but there was also a fifth hammer. Pythagoras saw and heard it, but he could not measure it; nor could he understand its discordant sound. Pythagoras therefore discarded it. What was this hammer, such that Pythagoras chose so decidedly to reject it? Since antiquity, "harmony" has been a name for more than a theory of musical sounds; it has offered a paradigm for the scientific understanding of the natural world. Nature, through harmony, has been transcribed in the ideal signs of mathematics. But, time and again, the transcription has run up against one fundamental limit: something in nature resists being written down, transcribed in a stable set of ideal elements. A fifth hammer, obstinately, continues to sound. In eight chapters, linked together as are the tones of a single scale, The Fifth Hammer explores the sounds and echoes of that troubling percussion as they make themselves felt on the most varied of attempts to understand and represent the natural world. From music to metaphysics, aesthetics to astronomy, and from Plato and Boethius to Kepler, Leibniz, and Kant, this book explores the ways in which the ordering of the sensible world has continued to suggest a reality that no notes or letters can fully transcribe.

Pythagoras Revived

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Publisher : Clarendon Press
ISBN 13 : 0191519804
Total Pages : 264 pages
Book Rating : 4.1/5 (915 download)

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Book Synopsis Pythagoras Revived by : Dominic J. O'Meara

Download or read book Pythagoras Revived written by Dominic J. O'Meara and published by Clarendon Press. This book was released on 1989-04-20 with total page 264 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Pythagorean idea that number is the key to understanding reality inspired Neoplatonist philosophers in the fourth and fifth centuries to develop theories in physics and metaphysics based on mathematical models. The theories produced by this revived interest in Pythagoreanism were to become influential in medieval and early modern philosophy, and this book makes use of some newly-discovered evidence to examine for the first time the development of those theories.

Numerology

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Publisher : Mathematical Association of America
ISBN 13 : 9780883855249
Total Pages : 324 pages
Book Rating : 4.8/5 (552 download)

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Book Synopsis Numerology by : Underwood Dudley

Download or read book Numerology written by Underwood Dudley and published by Mathematical Association of America. This book was released on 1998-01-15 with total page 324 pages. Available in PDF, EPUB and Kindle. Book excerpt: Numerology is the delusion that numbers have power over events. It is a descendent of number mysticism, the belief the contemplation of numbers can give mystical and non-rational insights into life, the universe and everything. 2500 years ago, Pythagoras originated number mysticism, crediting certain numbers with characteristics, through numerology, is a more recent invention that allots numbers, hence characteristics, to individuals. Underwood Dudley outlines here the history of number mysticism and numerology and gives many examples, including biorhythyms, Bible-numberists, pyramidologists and a plethora of others. His message is that numbers do indeed have power, but over minds not events. This is the only book that exposes this particular human folly, and requires no mathematical background beyond knowledge of numbers.

Brill's Companion to the Reception of Pythagoras and Pythagoreanism in the Middle Ages and the Renaissance

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Publisher : BRILL
ISBN 13 : 9004499466
Total Pages : 512 pages
Book Rating : 4.0/5 (44 download)

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Book Synopsis Brill's Companion to the Reception of Pythagoras and Pythagoreanism in the Middle Ages and the Renaissance by : Irene Caiazzo

Download or read book Brill's Companion to the Reception of Pythagoras and Pythagoreanism in the Middle Ages and the Renaissance written by Irene Caiazzo and published by BRILL. This book was released on 2021-11-22 with total page 512 pages. Available in PDF, EPUB and Kindle. Book excerpt: For the first time, the reader can have a synoptic view of the reception of Pythagoras and Pythagoreanism in the Middle Ages and the Renaissance, East and West, in a multicultural perspective. All the major themes of Pythagoreanism are addressed, from mathematics, number philosophy and metaphysics to ethics and religious thought.