In The Search For Beauty Unravelling Non Euclidean Geometry

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In The Search For Beauty: Unravelling Non-euclidean Geometry

Author : Voldemar Smilga
Publisher : World Scientific
ISBN 13 : 9813274379
Total Pages : 248 pages
Book Rating : 4.8/5 (132 download)

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Book Synopsis In The Search For Beauty: Unravelling Non-euclidean Geometry by : Voldemar Smilga

Download or read book In The Search For Beauty: Unravelling Non-euclidean Geometry written by Voldemar Smilga and published by World Scientific. This book was released on 2018-11-22 with total page 248 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a popular book that chronicles the historical attempts to prove the fifth postulate of Euclid on parallel lines that led eventually to the creation of non-Euclidean geometry. To absorb the mathematical content of the book, the reader should be familiar with the foundations of Euclidean geometry at the high school level. But besides the mathematics, the book is also devoted to stories about the people, brilliant mathematicians starting from Pythagoras and Euclid and terminating with Gauss, Lobachevsky and Klein. For two thousand years, mathematicians tried to prove the fifth postulate (whose formulation seemed to them too complicated to be a real postulate and not a theorem, hence the title In the Search for Beauty). But in the 19th century, they realized that such proof was impossible, and this led to a revolution in mathematics and then in physics. The two final chapters are devoted to Einstein and his general relativity which revealed to us that the geometry of the world we live in is not Euclidean.Also included is an historical essay on Omar Khayyam, who was not only a poet, but also a brilliant astronomer and mathematician.

In the Search for Beauty

Author : Volʹdemar Smilga
Publisher :
ISBN 13 : 9789813274365
Total Pages : 235 pages
Book Rating : 4.2/5 (743 download)

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Book Synopsis In the Search for Beauty by : Volʹdemar Smilga

Download or read book In the Search for Beauty written by Volʹdemar Smilga and published by . This book was released on 2018 with total page 235 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Euclidean and Non-Euclidean Geometry International Student Edition

Author : Patrick J. Ryan
Publisher : Cambridge University Press
ISBN 13 : 0521127076
Total Pages : 237 pages
Book Rating : 4.5/5 (211 download)

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Book Synopsis Euclidean and Non-Euclidean Geometry International Student Edition by : Patrick J. Ryan

Download or read book Euclidean and Non-Euclidean Geometry International Student Edition written by Patrick J. Ryan and published by Cambridge University Press. This book was released on 2009-09-04 with total page 237 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book gives a rigorous treatment of the fundamentals of plane geometry: Euclidean, spherical, elliptical and hyperbolic.

Fearful Symmetry

Author : A. Zee
Publisher : Princeton University Press
ISBN 13 : 1400874505
Total Pages : 376 pages
Book Rating : 4.4/5 (8 download)

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Book Synopsis Fearful Symmetry by : A. Zee

Download or read book Fearful Symmetry written by A. Zee and published by Princeton University Press. This book was released on 2015-10-01 with total page 376 pages. Available in PDF, EPUB and Kindle. Book excerpt: An engaging exploration of beauty in physics, with a foreword by Nobel Prize–winning physicist Roger Penrose The concept of symmetry has widespread manifestations and many diverse applications—from architecture to mathematics to science. Yet, as twentieth-century physics has revealed, symmetry has a special, central role in nature, one that is occasionally and enigmatically violated. Fearful Symmetry brings the incredible discoveries of the juxtaposition of symmetry and asymmetry in contemporary physics within everyone's grasp. A. Zee, a distinguished physicist and skillful expositor, tells the exciting story of how contemporary theoretical physicists are following Einstein in their search for the beauty and simplicity of Nature. Animated by a sense of reverence and whimsy, Fearful Symmetry describes the majestic sweep and accomplishments of twentieth-century physics—one of the greatest chapters in the intellectual history of humankind.

Poetry of the Universe

Author : Robert Osserman
Publisher : Anchor
ISBN 13 : 0307790584
Total Pages : 225 pages
Book Rating : 4.3/5 (77 download)

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Book Synopsis Poetry of the Universe by : Robert Osserman

Download or read book Poetry of the Universe written by Robert Osserman and published by Anchor. This book was released on 2011-04-27 with total page 225 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the bestselling literary tradition of Lewis Thomas's Lives of a Cell and James Watson's The Double Helix, Poetry of the Universe is a delightful and compelling narrative charting the evolution of mathematical ideas that have helped to illuminate the nature of the observable universe. In a richly anecdotal fashion, the book explores teh leaps of imagination and vision in mathematics that have helped pioneer our understanding of the world around us.

Warped Passages

Author : Lisa Randall
Publisher : Harper Collins
ISBN 13 : 0061981230
Total Pages : 782 pages
Book Rating : 4.0/5 (619 download)

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Book Synopsis Warped Passages by : Lisa Randall

Download or read book Warped Passages written by Lisa Randall and published by Harper Collins. This book was released on 2009-10-21 with total page 782 pages. Available in PDF, EPUB and Kindle. Book excerpt: The universe has many secrets. It may hide additional dimensions of space other than the familier three we recognize. There might even be another universe adjacent to ours, invisible and unattainable . . . for now. Warped Passages is a brilliantly readable and altogether exhilarating journey that tracks the arc of discovery from early twentieth-century physics to the razor's edge of modern scientific theory. One of the world's leading theoretical physicists, Lisa Randall provides astonishing scientific possibilities that, until recently, were restricted to the realm of science fiction. Unraveling the twisted threads of the most current debates on relativity, quantum mechanics, and gravity, she explores some of the most fundamental questions posed by Nature—taking us into the warped, hidden dimensions underpinning the universe we live in, demystifying the science of the myriad worlds that may exist just beyond our own.

Mathematics and the Physical World

Author : Morris Kline
Publisher : Courier Corporation
ISBN 13 : 0486136310
Total Pages : 514 pages
Book Rating : 4.4/5 (861 download)

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Book Synopsis Mathematics and the Physical World by : Morris Kline

Download or read book Mathematics and the Physical World written by Morris Kline and published by Courier Corporation. This book was released on 2012-03-15 with total page 514 pages. Available in PDF, EPUB and Kindle. Book excerpt: Stimulating account of development of mathematics from arithmetic, algebra, geometry and trigonometry, to calculus, differential equations, and non-Euclidean geometries. Also describes how math is used in optics, astronomy, and other phenomena.

Feynman's Rainbow

Author : Leonard Mlodinow
Publisher : Vintage
ISBN 13 : 0307946495
Total Pages : 194 pages
Book Rating : 4.3/5 (79 download)

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Book Synopsis Feynman's Rainbow by : Leonard Mlodinow

Download or read book Feynman's Rainbow written by Leonard Mlodinow and published by Vintage. This book was released on 2011-11-29 with total page 194 pages. Available in PDF, EPUB and Kindle. Book excerpt: Some of the brightest minds in science have passed through the halls of the California Institute of Technology. In the early 1980s, Leonard Mlodinow joined their ranks to begin a postdoctoral fellowship. Afraid he was not smart enough to be there, despite his groundbreaking Ph.D. thesis, he took his insecurities to Richard Feynman, Caltech’s intimidating resident genius and iconoclast. So began a pivotal year in a young man’s life. Though a series of fascinating exchanges, Mlodinow and Feynman delve into the nature of science, creativity, love mathematics, happiness, God, art, pleasures and ambition, producing a moving portrait of a friendship and an affecting account of Feynman’s final creative years.

Naming Infinity

Author : Loren Graham
Publisher : Harvard University Press
ISBN 13 : 0674032934
Total Pages : 252 pages
Book Rating : 4.6/5 (74 download)

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Book Synopsis Naming Infinity by : Loren Graham

Download or read book Naming Infinity written by Loren Graham and published by Harvard University Press. This book was released on 2009-03-31 with total page 252 pages. Available in PDF, EPUB and Kindle. Book excerpt: In 1913, Russian imperial marines stormed an Orthodox monastery at Mt. Athos, Greece, to haul off monks engaged in a dangerously heretical practice known as Name Worshipping. Exiled to remote Russian outposts, the monks and their mystical movement went underground. Ultimately, they came across Russian intellectuals who embraced Name Worshipping—and who would achieve one of the biggest mathematical breakthroughs of the twentieth century, going beyond recent French achievements. Loren Graham and Jean-Michel Kantor take us on an exciting mathematical mystery tour as they unravel a bizarre tale of political struggles, psychological crises, sexual complexities, and ethical dilemmas. At the core of this book is the contest between French and Russian mathematicians who sought new answers to one of the oldest puzzles in math: the nature of infinity. The French school chased rationalist solutions. The Russian mathematicians, notably Dmitri Egorov and Nikolai Luzin—who founded the famous Moscow School of Mathematics—were inspired by mystical insights attained during Name Worshipping. Their religious practice appears to have opened to them visions into the infinite—and led to the founding of descriptive set theory. The men and women of the leading French and Russian mathematical schools are central characters in this absorbing tale that could not be told until now. Naming Infinity is a poignant human interest story that raises provocative questions about science and religion, intuition and creativity.

The Beauty of Fractals

Author : Heinz-Otto Peitgen
Publisher : Springer Science & Business Media
ISBN 13 : 9783540158516
Total Pages : 226 pages
Book Rating : 4.1/5 (585 download)

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Book Synopsis The Beauty of Fractals by : Heinz-Otto Peitgen

Download or read book The Beauty of Fractals written by Heinz-Otto Peitgen and published by Springer Science & Business Media. This book was released on 1986-07 with total page 226 pages. Available in PDF, EPUB and Kindle. Book excerpt: Now approaching its tenth year, this hugely successful book presents an unusual attempt to publicise the field of Complex Dynamics. The text was originally conceived as a supplemented catalogue to the exhibition "Frontiers of Chaos", seen in Europe and the United States, and describes the context and meaning of these fascinating images. A total of 184 illustrations - including 88 full-colour pictures of Julia sets - are suggestive of a coffee-table book. However, the invited contributions which round off the book lend the text the required formality. Benoit Mandelbrot gives a very personal account, in his idiosyncratic self-centred style, of his discovery of the fractals named after him and Adrien Douady explains the solved and unsolved problems relating to this amusingly complex set.

A Fuller Explanation

Author : Amy C. Edmondson
Publisher : Springer Science & Business Media
ISBN 13 : 1468474855
Total Pages : 320 pages
Book Rating : 4.4/5 (684 download)

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Book Synopsis A Fuller Explanation by : Amy C. Edmondson

Download or read book A Fuller Explanation written by Amy C. Edmondson and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 320 pages. Available in PDF, EPUB and Kindle. Book excerpt: In a broad sense Design Science is the grammar of a language of images rather than of words. Modern communication techniques enable us to transmit and reconstitute images without the need of knowing a specific verbal sequential language such as the Morse code or Hungarian. International traffic signs use international image symbols which are not specific to any particular verbal language. An image language differs from a verbal one in that the latter uses a linear string of symbols, whereas the former is multidimensional. Architectural renderings commonly show projections onto three mutually perpendicular planes, or consist of cross sections at differ ent altitudes representing a stack of floor plans. Such renderings make it difficult to imagine buildings containing ramps and other features which disguise the separation between floors; consequently, they limit the creativity of the architect. Analogously, we tend to analyze natural structures as if nature had used similar stacked renderings, rather than, for instance, a system of packed spheres, with the result that we fail to perceive the system of organization determining the form of such structures.

The Equation that Couldn't Be Solved

Author : Mario Livio
Publisher : Simon and Schuster
ISBN 13 : 0743274628
Total Pages : 367 pages
Book Rating : 4.7/5 (432 download)

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Book Synopsis The Equation that Couldn't Be Solved by : Mario Livio

Download or read book The Equation that Couldn't Be Solved written by Mario Livio and published by Simon and Schuster. This book was released on 2005-09-19 with total page 367 pages. Available in PDF, EPUB and Kindle. Book excerpt: What do Bach's compositions, Rubik's Cube, the way we choose our mates, and the physics of subatomic particles have in common? All are governed by the laws of symmetry, which elegantly unify scientific and artistic principles. Yet the mathematical language of symmetry-known as group theory-did not emerge from the study of symmetry at all, but from an equation that couldn't be solved. For thousands of years mathematicians solved progressively more difficult algebraic equations, until they encountered the quintic equation, which resisted solution for three centuries. Working independently, two great prodigies ultimately proved that the quintic cannot be solved by a simple formula. These geniuses, a Norwegian named Niels Henrik Abel and a romantic Frenchman named Évariste Galois, both died tragically young. Their incredible labor, however, produced the origins of group theory. The first extensive, popular account of the mathematics of symmetry and order, The Equation That Couldn't Be Solved is told not through abstract formulas but in a beautifully written and dramatic account of the lives and work of some of the greatest and most intriguing mathematicians in history.

Journey Through Genius

Author : William Dunham
Publisher : Penguin Books
ISBN 13 :
Total Pages : 324 pages
Book Rating : 4.0/5 ( download)

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Book Synopsis Journey Through Genius by : William Dunham

Download or read book Journey Through Genius written by William Dunham and published by Penguin Books. This book was released on 1991-08 with total page 324 pages. Available in PDF, EPUB and Kindle. Book excerpt: Like masterpieces of art, music, and literature, great mathematical theorems are creative milestones, works of genius destined to last forever. Now William Dunham gives them the attention they deserve. Dunham places each theorem within its historical context and explores the very human and often turbulent life of the creator — from Archimedes, the absentminded theoretician whose absorption in his work often precluded eating or bathing, to Gerolamo Cardano, the sixteenth-century mathematician whose accomplishments flourished despite a bizarre array of misadventures, to the paranoid genius of modern times, Georg Cantor. He also provides step-by-step proofs for the theorems, each easily accessible to readers with no more than a knowledge of high school mathematics. A rare combination of the historical, biographical, and mathematical, Journey Through Genius is a fascinating introduction to a neglected field of human creativity. “It is mathematics presented as a series of works of art; a fascinating lingering over individual examples of ingenuity and insight. It is mathematics by lightning flash.” —Isaac Asimov

Superforce

Author : P. C. W. Davies
Publisher :
ISBN 13 :
Total Pages : 280 pages
Book Rating : 4.:/5 (321 download)

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Book Synopsis Superforce by : P. C. W. Davies

Download or read book Superforce written by P. C. W. Davies and published by . This book was released on 1995 with total page 280 pages. Available in PDF, EPUB and Kindle. Book excerpt: Many scientists believe we are on the verge of a Theory of Everything - a complete unification of all the fundamental forces and particles of nature. In this book, the physicist and author Paul Davies gives an account of the quest for a superforce that will explain how the physical universe is put together. The book describes the bewildering array of subatomic particles that have been discovered in recent years, and shows how their properties form abstract patterns and mathematical symmetries, hinting at deep linkages. It explains how the forces that act between these particles may require the existence of unseen extra dimensions of space, and why the latest bizarre theory suggests that the basic entities out of which all matter is built may not be particles at all, but strings. Aimed at the general reader, this book shows that a unified theory may be within our grasp, and that a single superforce may account not only for the nature of matter, but even for the manner in which the universe came into existence.

The Perfect Theory

Author : Pedro G. Ferreira
Publisher : HMH
ISBN 13 : 0547554907
Total Pages : 309 pages
Book Rating : 4.5/5 (475 download)

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Book Synopsis The Perfect Theory by : Pedro G. Ferreira

Download or read book The Perfect Theory written by Pedro G. Ferreira and published by HMH. This book was released on 2014-02-04 with total page 309 pages. Available in PDF, EPUB and Kindle. Book excerpt: “One of the best popular accounts of how Einstein and his followers have been trying to explain the universe for decades” (Kirkus Reviews, starred review). Physicists have been exploring, debating, and questioning the general theory of relativity ever since Albert Einstein first presented it in 1915. This has driven their work to unveil the universe’s surprising secrets even further, and many believe more wonders remain hidden within the theory’s tangle of equations, waiting to be exposed. In this sweeping narrative of science and culture, an astrophysicist brings general relativity to life through the story of the brilliant physicists, mathematicians, and astronomers who have taken up its challenge. For these scientists, the theory has been both a treasure trove and an enigma. Einstein’s theory, which explains the relationships among gravity, space, and time, is possibly the most perfect intellectual achievement of modern physics—yet studying it has always been a controversial endeavor. Relativists were the target of persecution in Hitler’s Germany, hounded in Stalin’s Russia, and disdained in 1950s America. Even today, PhD students are warned that specializing in general relativity will make them unemployable. Still, general relativity has flourished, delivering key insights into our understanding of the origin of time and the evolution of all the stars and galaxies in the cosmos. Its adherents have revealed what lies at the farthest reaches of the universe, shed light on the smallest scales of existence, and explained how the fabric of reality emerges. Dark matter, dark energy, black holes, and string theory are all progeny of Einstein’s theory. In the midst of a momentous transformation in modern physics, as scientists look farther and more clearly into space than ever before, The Perfect Theory exposes the greater relevance of general relativity, showing us where it started, where it has led—and where it can still take us.

The Nature of the Physical World

Author : Sir Arthur Stanley Eddington
Publisher :
ISBN 13 :
Total Pages : 394 pages
Book Rating : 4.E/5 ( download)

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Book Synopsis The Nature of the Physical World by : Sir Arthur Stanley Eddington

Download or read book The Nature of the Physical World written by Sir Arthur Stanley Eddington and published by . This book was released on 1928 with total page 394 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Men of Mathematics

Author : E.T. Bell
Publisher : Simon and Schuster
ISBN 13 : 1476784256
Total Pages : 608 pages
Book Rating : 4.4/5 (767 download)

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Book Synopsis Men of Mathematics by : E.T. Bell

Download or read book Men of Mathematics written by E.T. Bell and published by Simon and Schuster. This book was released on 2014-03-31 with total page 608 pages. Available in PDF, EPUB and Kindle. Book excerpt: From one of the greatest minds in contemporary mathematics, Professor E.T. Bell, comes a witty, accessible, and fascinating look at the beautiful craft and enthralling history of mathematics. Men of Mathematics provides a rich account of major mathematical milestones, from the geometry of the Greeks through Newton’s calculus, and on to the laws of probability, symbolic logic, and the fourth dimension. Bell breaks down this majestic history of ideas into a series of engrossing biographies of the great mathematicians who made progress possible—and who also led intriguing, complicated, and often surprisingly entertaining lives. Never pedantic or dense, Bell writes with clarity and simplicity to distill great mathematical concepts into their most understandable forms for the curious everyday reader. Anyone with an interest in math may learn from these rich lessons, an advanced degree or extensive research is never necessary.