Download or read book Indra s Pearls written by David Mumford and published by Cambridge University Press. This book was released on 2002-04-25 with total page 422 pages. Available in PDF, EPUB and Kindle. Book excerpt: Felix Klein, one of the great nineteenth-century geometers, rediscovered in mathematics an idea from Eastern philosophy: the heaven of Indra contained a net of pearls, each of which was reflected in its neighbour, so that the whole Universe was mirrored in each pearl. Klein studied infinitely repeated reflections and was led to forms with multiple co-existing symmetries. For a century these ideas barely existed outside the imagination of mathematicians. However in the 1980s the authors embarked on the first computer exploration of Klein's vision, and in doing so found many further extraordinary images. Join the authors on the path from basic mathematical ideas to the simple algorithms that create the delicate fractal filigrees, most of which have never appeared in print before. Beginners can follow the step-by-step instructions for writing programs that generate the images. Others can see how the images relate to ideas at the forefront of research.

Download or read book Indra s Pearls written by David Mumford and published by Cambridge University Press. This book was released on 2002-04-25 with total page 422 pages. Available in PDF, EPUB and Kindle. Book excerpt: Felix Klein, one of the great nineteenth-century geometers, discovered in mathematics an idea prefigured in Buddhist mythology: the heaven of Indra contained a net of pearls, each of which was reflected in its neighbour, so that the whole Universe was mirrored in each pearl. Klein studied infinitely repeated reflections and was led to forms with multiple coexisting symmetries. For a century, these images barely existed outside the imagination of mathematicians. However, in the 1980s, the authors embarked on the first computer exploration of Klein's vision, and in doing so found many further extraordinary images. Join the authors on the path from basic mathematical ideas to the simple algorithms that create the delicate fractal filigrees, most of which have never appeared in print before. Beginners can follow the step-by-step instructions for writing programs that generate the images. Others can see how the images relate to ideas at the forefront of research.

Download or read book Indra s Pearls written by David Mumford and published by Cambridge University Press. This book was released on 2015-09-30 with total page 420 pages. Available in PDF, EPUB and Kindle. Book excerpt: Felix Klein, a great geometer of the nineteenth century, rediscovered an idea from Hindu mythology in mathematics: the heaven of Indra in which the whole Universe was mirrored in each pearl in a net of pearls. Practically impossible to represent by hand, this idea barely existed outside the imagination, until the 1980s when the authors embarked on the first computer investigation of Klein's vision. In this extraordinary book they explore the path from some basic mathematical ideas to the simple algorithms that create delicate fractal filigrees, most appearing in print for the first time. Step-by-step instructions for writing computer programs allow beginners to generate the images.

Download or read book Outer Circles written by A. Marden and published by Cambridge University Press. This book was released on 2007-05-31 with total page 393 pages. Available in PDF, EPUB and Kindle. Book excerpt: We live in a three-dimensional space; what sort of space is it? Can we build it from simple geometric objects? The answers to such questions have been found in the last 30 years, and Outer Circles describes the basic mathematics needed for those answers as well as making clear the grand design of the subject of hyperbolic manifolds as a whole. The purpose of Outer Circles is to provide an account of the contemporary theory, accessible to those with minimal formal background in topology, hyperbolic geometry, and complex analysis. The text explains what is needed, and provides the expertise to use the primary tools to arrive at a thorough understanding of the big picture. This picture is further filled out by numerous exercises and expositions at the ends of the chapters and is complemented by a profusion of high quality illustrations. There is an extensive bibliography for further study.

Download or read book Hua Yen Buddhism written by Francis H. Cook and published by Penn State Press. This book was released on 2010-11 with total page 165 pages. Available in PDF, EPUB and Kindle. Book excerpt: Hua-yen is regarded as the highest form of Buddhism by most modern Japanese and Chinese scholars. This book is a description and analysis of the Chinese form of Buddhism called Hua-yen (or Hwa-yea), Flower Ornament, based largely on one of the more systematic treatises of its third patriarch. Hua-yen Buddhism strongly resembles Whitehead's process philosophy, and has strong implications for modern philosophy and religion. Hua-yen Buddhism explores the philosophical system of Hua-yen in greater detail than does Garma C.C. Chang's The Buddhist Teaching of Totality (Penn State, 1971). An additional value is the development of the questions of ethics and history. Thus, Professor Cook presents a valuable sequel to Professor Chang's pioneering work. The Flower Ornament School was developed in China in the late 7th and early 8th centuries as an innovative interpretation of Indian Buddhist doctrines in the light of indigenous Chinese presuppositions, chiefly Taoist. Hua-yen is a cosmic ecology, which views all existence as an organic unity, so it has an obvious appeal to the modern individual, both students and layman.

Download or read book Indra s Net written by Rajiv Malhotra and published by Harper Collins. This book was released on 2014-01-23 with total page 396 pages. Available in PDF, EPUB and Kindle. Book excerpt: Originating in the Atharva Veda, the concept of Indra's Net is a powerful metaphor for interconnectedness. It was transmitted via Buddhism's Avatamsaka Sutra into Western thought, where it now resides at the heart of post-modern discourse. According to this metaphor, nothing ultimately exists separately by itself and all boundaries can be deconstructed. This book invokes Indra's Net to articulate the open architecture, unity and continuity of Hinduism. Seen from this perspective, Hinduism defies pigeonholing into the traditional, modern and post-modern categories by which the West defines itself; rather, it becomes evident that Hinduism has always spanned all three categories simultaneously and without contradiction.It is fashionable among intellectuals to assert that dharma traditions lacked any semblance of unity before the British period, and that the contours of contemporary Hinduism were bequeathed to us by our colonial masters. Such arguments routinely target Swami Vivekananda, a key interlocutor who shattered many deeply rooted prejudices against Indian civilization. They accuse him of having camouflaged various alleged 'contradictions' within traditional Hinduism, and charge him with having appropriated the principles of Western religion to 'manufacture' a coherent and unified worldview and set of practices known today as Hinduism.Indra's Net: Defending Hinduism's Philosophical Unity provides a foundation for theories that slander contemporary Hinduism as illegitimate, ascribing sinister motives to its existence, and characterizing its fabric as oppressive. Rajiv Malhotra offers a detailed, systematic rejoinder to such views, and articulates the multidimensional, holographic understanding of reality that grounds Hindu dharma. He also argues that Vivekananda's creative interpretations of Hindu dharma informed and influenced many Western intellectual movements of the post-modern era. Indeed, as he cites with many insightful examples, appropriations from Hinduism have provided a foundation for cutting-edge discoveries in several fields, including cognitive science and neuroscience.

Download or read book Mathematics for Human Flourishing written by Francis Su and published by Yale University Press. This book was released on 2020-01-07 with total page 287 pages. Available in PDF, EPUB and Kindle. Book excerpt: "The ancient Greeks argued that the best life was filled with beauty, truth, justice, play and love. The mathematician Francis Su knows just where to find them."--Kevin Hartnett, Quanta Magazine" This is perhaps the most important mathematics book of our time. Francis Su shows mathematics is an experience of the mind and, most important, of the heart."--James Tanton, Global Math Project For mathematician Francis Su, a society without mathematical affection is like a city without concerts, parks, or museums. To miss out on mathematics is to live without experiencing some of humanity's most beautiful ideas. In this profound book, written for a wide audience but especially for those disenchanted by their past experiences, an award-winning mathematician and educator weaves parables, puzzles, and personal reflections to show how mathematics meets basic human desires--such as for play, beauty, freedom, justice, and love--and cultivates virtues essential for human flourishing. These desires and virtues, and the stories told here, reveal how mathematics is intimately tied to being human. Some lessons emerge from those who have struggled, including philosopher Simone Weil, whose own mathematical contributions were overshadowed by her brother's, and Christopher Jackson, who discovered mathematics as an inmate in a federal prison. Christopher's letters to the author appear throughout the book and show how this intellectual pursuit can--and must--be open to all.

Download or read book The Flower Ornament Scripture written by Thomas Cleary and published by Shambhala Publications. This book was released on 1993-10-12 with total page 1656 pages. Available in PDF, EPUB and Kindle. Book excerpt: Known in Chinese as Hua-yen and in Japanese as Kegon-kyo, the Avatamsaka Sutra, or Flower Ornament Scripture, is held in the highest regard and studied by Buddhists of all traditions. Through its structure and symbolism, as well as through its concisely stated principles, it conveys a vast range of Buddhist teachings. This one-volume edition contains Thomas Cleary's definitive translation of all thirty-nine books of the sutra, along with an introduction, a glossary, and Cleary's translation of Li Tongxuan's seventh-century guide to the final book, the Gandavyuha, "Entry into the Realm of Reality."

Download or read book Programming Pearls written by Jon Bentley and published by Addison-Wesley Professional. This book was released on 2016-04-21 with total page 262 pages. Available in PDF, EPUB and Kindle. Book excerpt: When programmers list their favorite books, Jon Bentley’s collection of programming pearls is commonly included among the classics. Just as natural pearls grow from grains of sand that irritate oysters, programming pearls have grown from real problems that have irritated real programmers. With origins beyond solid engineering, in the realm of insight and creativity, Bentley’s pearls offer unique and clever solutions to those nagging problems. Illustrated by programs designed as much for fun as for instruction, the book is filled with lucid and witty descriptions of practical programming techniques and fundamental design principles. It is not at all surprising that Programming Pearls has been so highly valued by programmers at every level of experience. In this revision, the first in 14 years, Bentley has substantially updated his essays to reflect current programming methods and environments. In addition, there are three new essays on testing, debugging, and timing set representations string problems All the original programs have been rewritten, and an equal amount of new code has been generated. Implementations of all the programs, in C or C++, are now available on the Web. What remains the same in this new edition is Bentley’s focus on the hard core of programming problems and his delivery of workable solutions to those problems. Whether you are new to Bentley’s classic or are revisiting his work for some fresh insight, the book is sure to make your own list of favorites.

Download or read book Low Dimensional Geometry written by Francis Bonahon and published by American Mathematical Soc.. This book was released on 2009-07-14 with total page 403 pages. Available in PDF, EPUB and Kindle. Book excerpt: The study of 3-dimensional spaces brings together elements from several areas of mathematics. The most notable are topology and geometry, but elements of number theory and analysis also make appearances. In the past 30 years, there have been striking developments in the mathematics of 3-dimensional manifolds. This book aims to introduce undergraduate students to some of these important developments. Low-Dimensional Geometry starts at a relatively elementary level, and its early chapters can be used as a brief introduction to hyperbolic geometry. However, the ultimate goal is to describe the very recently completed geometrization program for 3-dimensional manifolds. The journey to reach this goal emphasizes examples and concrete constructions as an introduction to more general statements. This includes the tessellations associated to the process of gluing together the sides of a polygon. Bending some of these tessellations provides a natural introduction to 3-dimensional hyperbolic geometry and to the theory of kleinian groups, and it eventually leads to a discussion of the geometrization theorems for knot complements and 3-dimensional manifolds. This book is illustrated with many pictures, as the author intended to share his own enthusiasm for the beauty of some of the mathematical objects involved. However, it also emphasizes mathematical rigor and, with the exception of the most recent research breakthroughs, its constructions and statements are carefully justified.

Download or read book The Evanston Colloquium written by Felix Klein and published by . This book was released on 1893 with total page 154 pages. Available in PDF, EPUB and Kindle. Book excerpt: I. Clebsch.--II-III. Sophus Lie.--IV. On the real shape of algebraic curves and surfaces.--V. Theory of functions and geometry.--VI. On the mathematical character of space-intuition, and the relation of pure mathematics to the applied sciences.--VII. The transcendency of the numbers [Greek letter epsilon] and [Greek letter pi].--VII. Ideal numbers.--IX. The solution of higher algebraic equations.--X. On some recent advances in hyperelliptic and Abelian functions.--XI. The most recent researches in non-Euclidean geometry.--XII. The study of mathematics at Göttingen.--Appendix.

Download or read book Vikramaditya Veergatha Book 3 The Vengeance of Indra written by Shatrujeet Nath and published by Jaico Publishing House. This book was released on 2018-02-07 with total page 350 pages. Available in PDF, EPUB and Kindle. Book excerpt: Vengeance is a Cage. Forgiveness is Freedom. In their greed to possess the deadly Halahala, the devas and the asuras have employed every dirty trick against Vikramaditya and his Council of Nine. But the humans are still standing, bloodied but unbowed. When the wily Shukracharya discovers the secret to breaking the Council’s unity and strength, he forges an unlikely alliance with his arch-enemy, Indra, to set a deceitful plan in motion. As cracks emerge between the councilors and their king, ghosts from the past threaten to ruin Vikramaditya and Kalidasa’s friendship, signaling the beginning of an eclipse that will cast a long shadow over all that Vikramaditya holds dear. And into this shadow steps Indra, bearing an old grudge – and a devastating new weapon. How much longer before the Guardians of the Halahala finally fall apart? “Flawlessly clubs fiction with Indian mythology.” —DNA SHATRUJEET NATH is the creator of the runaway national bestseller series Vikramaditya Veergatha, a four-book mytho-fantasy arc which includes The Guardians of the Halahala, The Conspiracy at Meru and The Vengeance of Indra. Described as “a new face to Indian mythology” by DNA, Shatrujeet writes for movies and web shows as well. He is also the author of The Karachi Deception, an Indo-Pak spy thriller.

Download or read book Math Without Numbers written by Milo Beckman and published by Penguin. This book was released on 2022-01-11 with total page 225 pages. Available in PDF, EPUB and Kindle. Book excerpt: An illustrated tour of the structures and patterns we call "math" The only numbers in this book are the page numbers. Math Without Numbers is a vivid, conversational, and wholly original guide to the three main branches of abstract math—topology, analysis, and algebra—which turn out to be surprisingly easy to grasp. This book upends the conventional approach to math, inviting you to think creatively about shape and dimension, the infinite and infinitesimal, symmetries, proofs, and how these concepts all fit together. What awaits readers is a freewheeling tour of the inimitable joys and unsolved mysteries of this curiously powerful subject. Like the classic math allegory Flatland, first published over a century ago, or Douglas Hofstadter's Godel, Escher, Bach forty years ago, there has never been a math book quite like Math Without Numbers. So many popularizations of math have dwelt on numbers like pi or zero or infinity. This book goes well beyond to questions such as: How many shapes are there? Is anything bigger than infinity? And is math even true? Milo Beckman shows why math is mostly just pattern recognition and how it keeps on surprising us with unexpected, useful connections to the real world. The ambitions of this book take a special kind of author. An inventive, original thinker pursuing his calling with jubilant passion. A prodigy. Milo Beckman completed the graduate-level course sequence in mathematics at age sixteen, when he was a sophomore at Harvard; while writing this book, he was studying the philosophical foundations of physics at Columbia under Brian Greene, among others.

Download or read book The String of Pearls written by Joseph Roth and published by . This book was released on 1998 with total page 280 pages. Available in PDF, EPUB and Kindle. Book excerpt: While visiting Vienna, the Shah of Persia falls for a beautiful countess. The Austrian officials arrange for him to spend the night with the countess, but unbeknown to the Shah she is a prostitute who merely resembles the countess. From this night follows a chain of ruinous consequences.

Download or read book Hyperbolicity and Sensitive Chaotic Dynamics at Homoclinic Bifurcations written by Jacob Palis Júnior and published by Cambridge University Press. This book was released on 1995-01-05 with total page 248 pages. Available in PDF, EPUB and Kindle. Book excerpt: A self-contained introduction to the classical theory and its generalizations, aimed at mathematicians and scientists working in dynamical systems.

Download or read book The Dancing Wu Li Masters written by Gary Zukav and published by Harper Collins. This book was released on 2009-10-06 with total page 606 pages. Available in PDF, EPUB and Kindle. Book excerpt: “The most exciting intellectual adventure I've been on since reading Robert Pirsig’s Zen and the Art of Motorcycle Maintenance.” —Christopher Lehmann-Haupt, New York Times Gary Zukav’s timeless, humorous, New York Times bestselling masterpiece, The Dancing Wu Li Masters, is arguably the most widely acclaimed introduction to quantum physics ever written. Scientific American raves: “Zukav is such a skilled expositor, with such an amiable style, that it is hard to imagine a layman who would not find his book enjoyable and informative.” Accessible, edifying, and endlessly entertaining, The Dancing Wu Li Masters is back in a beautiful new edition—and the doors to the fascinating, dazzling, remarkable world of quantum physics are opened to all once again, no previous mathematical or technical expertise required.

Download or read book SuperFractals written by Michael Fielding Barnsley and published by Cambridge University Press. This book was released on 2006-09-07 with total page 464 pages. Available in PDF, EPUB and Kindle. Book excerpt: SuperFractals, first published in 2006, describes mathematics and algorithms for the first time in book form, with breathtaking colour pictures.