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The Great Mathematical Problems

The Great Mathematical Problems PDF Author: Ian Stewart
Publisher: Profile Books
ISBN: 1847653510
Category : Mathematics
Languages : en
Pages : 340

Book Description
There are some mathematical problems whose significance goes beyond the ordinary - like Fermat's Last Theorem or Goldbach's Conjecture - they are the enigmas which define mathematics. The Great Mathematical Problems explains why these problems exist, why they matter, what drives mathematicians to incredible lengths to solve them and where they stand in the context of mathematics and science as a whole. It contains solved problems - like the Poincar Conjecture, cracked by the eccentric genius Grigori Perelman, who refused academic honours and a million-dollar prize for his work, and ones which, like the Riemann Hypothesis, remain baffling after centuries. Stewart is the guide to this mysterious and exciting world, showing how modern mathematicians constantly rise to the challenges set by their predecessors, as the great mathematical problems of the past succumb to the new techniques and ideas of the present.

The Great Mathematical Problems

The Great Mathematical Problems PDF Author: Ian Stewart
Publisher: Profile Books
ISBN: 1847653510
Category : Mathematics
Languages : en
Pages : 340

Book Description
There are some mathematical problems whose significance goes beyond the ordinary - like Fermat's Last Theorem or Goldbach's Conjecture - they are the enigmas which define mathematics. The Great Mathematical Problems explains why these problems exist, why they matter, what drives mathematicians to incredible lengths to solve them and where they stand in the context of mathematics and science as a whole. It contains solved problems - like the Poincar Conjecture, cracked by the eccentric genius Grigori Perelman, who refused academic honours and a million-dollar prize for his work, and ones which, like the Riemann Hypothesis, remain baffling after centuries. Stewart is the guide to this mysterious and exciting world, showing how modern mathematicians constantly rise to the challenges set by their predecessors, as the great mathematical problems of the past succumb to the new techniques and ideas of the present.

Sounds of Infinity

Sounds of Infinity PDF Author: Lee Morgan
Publisher: The Witches’ Almanac
ISBN: 1881098567
Category : Body, Mind & Spirit
Languages : en
Pages : 325

Book Description
This story about faerie began as a vision. In his newest work, Lee Morgan follows a cacophony of visions with sharp, bright edges to them that have lain claim to his heart and hands. In what is clearly a work of the heart, Lee bypasses rational intellect guiding the reader to experience the touch, scent and feel of the Faerie Faith through symbol and suggestion. Sounds of Infinity is divided into three parts, the work of the Head, the work of the Heart and the work of the Hands. The second is a work of occult fiction that meditates upon the themes discussed in Part One in the form of a woven narrative. The final part is a practical grimoire that leads the reader through the door to physically manifests the vision they have shared in parts one and two. This is not just a book, but an experience, one which culminates not at the end of reading the volume but in the consummation known in the art of ritual.

Naming Infinity

Naming Infinity PDF Author: Loren Graham
Publisher: Harvard University Press
ISBN: 0674032934
Category : History
Languages : en
Pages : 252

Book Description
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.

Infinite Vision

Infinite Vision PDF Author: Pavithra K. Mehta
Publisher: Berrett-Koehler Publishers
ISBN: 1605099791
Category : Business & Economics
Languages : en
Pages : 354

Book Description
"The Aravind Eye Hospital, based in India, is the world's largest provider of high-quality eye care. It is also one of the world's most incredible and revolutionary organizations - delivering surgical outcomes equal to or exceeding those in the developedworld at less than one percent of the cost, treating more than half of its patients free of charge, and taking no grants or donations. Aravind's success is so perplexing it has been the subject of a popular Harvard Business School case study. This is thefirst book to explore Aravind's history and the distinctive philosophies, practices, and commitments that are the keys to its success. Mehta and Shenoy share incredible stories about how Aravind grew from humble beginnings--founded by a retired ophthalmologist with no money or prior entrepre-neurial experience--to the world-class organization it is today. They explain the mysteries of a model that integrates innovation with empathy, service with business principles, and inner change with outer transformation. And they show how choices that seem foolish and unworkable can, when executed with compassion and integrity, yield powerful results - results that literally light the eyes of millions."--Provided by publisher.

From Here to Infinity: A Vision for the Future of Science

From Here to Infinity: A Vision for the Future of Science PDF Author: Martin J. Rees
Publisher: W. W. Norton & Company
ISBN: 0393063070
Category : Science
Languages : en
Pages : 145

Book Description
Science is often portrayed as an obscure, difficult discipline, governed by elite researchers and inaccessible to the general public. In this riveting, inspiring new book, preeminent astrophysicist Martin Rees overturns this view, urging improved communication between researchers and laypeople. In order to shape debates over healthcare, energy policy, space travel, and other vital issues, ordinary citizens must develop a "feel" for science--the one truly global culture--and engage directly with research rather than relying on pundits' and politicians' interpretations. Recognized as an expert on the political and ethical impact of science, Rees demonstrate show we must solve the new challenges we face--from population growth to climate change--by devising strategies with a long-term, global perspective. In the process, he offers insights into the prospects for future discoveries while also explaining science's intrinsic limits. Just as importantly, Rees reminds us that science should be a source of pleasure and wonder for specialists and nonspecialists alike.

Visions of Glory

Visions of Glory PDF Author: John M. Pontius
Publisher: CFI
ISBN: 9781462128433
Category : RELIGION
Languages : en
Pages :

Book Description


Rare Visions & Roadside Revelations

Rare Visions & Roadside Revelations PDF Author: Randy Mason
Publisher: Kansas City Star Books
ISBN: 0971292027
Category : Artists
Languages : en
Pages : 98

Book Description
Companion book to KCPT's award-winning public television series. Includes an amazing array of art and oddities, food and fun, and a world of creativity in some of the most unexpected places.

At the Brink of Infinity

At the Brink of Infinity PDF Author: James E. von der Heydt
Publisher: University of Iowa Press
ISBN: 1587297736
Category : Literary Criticism
Languages : en
Pages : 263

Book Description
From popular culture to politics to classic novels, quintessentially American texts take their inspiration from the idea of infinity. In the extraordinary literary century inaugurated by Ralph Waldo Emerson, the lyric too seemed to encounter possibilities as limitless as the U.S. imagination. This raises the question: What happens when boundlessness is more than just a figure of speech? Exploring new horizons is one thing, but actually looking at the horizon itself is something altogether different. In this carefully crafted analysis, James von der Heydt shines a new light on the lyric craft of Emily Dickinson, Robert Frost, Elizabeth Bishop, and James Merrill and considers how their seascape-vision redefines poetry's purpose. Emerson famously freed U.S. literature from its past and opened it up to vastness; in the following century, a succession of brilliant, rigorous poets took the philosophical challenges of such freedom all too seriously. Facing the unmarked horizon, Emersonian poets capture—and are captured by—a stark, astringent version of human beauty. Their uncompromising visions of limitlessness reclaim infinity's proper legacy—and give American poetry its edge. Von der Heydt's book recovers the mystery of their world.

Visions of the Universe

Visions of the Universe PDF Author: Alex Bellos
Publisher: The Experiment
ISBN: 1615193677
Category : Games & Activities
Languages : en
Pages : 147

Book Description
Peek “behind the scenes” of the universe—and see math in brilliant color! For curious minds throughout history, math was truly an art. In Visions of the Universe, you can pick up right where Isaac Newton, Blaise Pascal, and other luminaries left off—by coloring 58 exquisite patterns inspired by great discoveries in math: Intricate geometric designs like those that grace the mosques of Mecca Felix Klein’s astounding diagram—drawn in 1897—of light reflecting between five mirrored spheres A mind-bending puzzle so beautiful it once hung outside a Japanese temple, and more! Plus, in the Creating chapter, you’ll help complete 10 additional images by following simple steps that give spectacular results. No math knowledge is required: Anyone can be an artist in Numberland!

Visions of Infinity

Visions of Infinity PDF Author: Ian Stewart
Publisher: Basic Books
ISBN: 0465065996
Category : Science
Languages : en
Pages : 356

Book Description
It is one of the wonders of mathematics that, for every problem mathematicians solve, another awaits to perplex and galvanize them. Some of these problems are new, while others have puzzled and bewitched thinkers across the ages. Such challenges offer a tantalizing glimpse of the field's unlimited potential, and keep mathematicians looking toward the horizons of intellectual possibility. In Visions of Infinity, celebrated mathematician Ian Stewart provides a fascinating overview of the most formidable problems mathematicians have vanquished, and those that vex them still. He explains why these problems exist, what drives mathematicians to solve them, and why their efforts matter in the context of science as a whole. The three-century effort to prove Fermat's last theorem -- first posited in 1630, and finally solved by Andrew Wiles in 1995 -- led to the creation of algebraic number theory and complex analysis. The Poincare conjecture, which was cracked in 2002 by the eccentric genius Grigori Perelman, has become fundamental to mathematicians' understanding of three-dimensional shapes. But while mathematicians have made enormous advances in recent years, some problems continue to baffle us. Indeed, the Riemann hypothesis, which Stewart refers to as the "Holy Grail of pure mathematics," and the P/NP problem, which straddles mathematics and computer science, could easily remain unproved for another hundred years. An approachable and illuminating history of mathematics as told through fourteen of its greatest problems, Visions of Infinity reveals how mathematicians the world over are rising to the challenges set by their predecessors -- and how the enigmas of the past inevitably surrender to the powerful techniques of the present.