The Mystery of Numbers

Author: Annemarie Schimmel,Franz Carl Endres

Publisher: Oxford University Press

ISBN: 9780195089196

Category: Business & Economics

Page: 314

View: 7605


In this fascinating book Schimmel shows that numbers have been filled with mystery and meaning since the earliest times, and across every society. She conducts an illuminating tour of the mysteries attributed to numbers and their symbolism. 45 halftones; 64 linecuts.

Mathematical Mysteries

The Beauty and Magic of Numbers

Author: Calvin C. Clawson

Publisher: Springer

ISBN: 1489960805

Category: Mathematics

Page: 314

View: 7295


A meditation on the beauty and meaning of numbers, exploring mathematical equations, describing some of the mathematical discoveries of the past millennia, and pondering philosophical questions about the relation of numbers to the universe.

The Nine Numbers of the Cosmos

Author: Michael Rowan-Robinson

Publisher: OUP Oxford

ISBN: 0191509175

Category: Science

Page: 188

View: 4859


How old is the universe? How far away are the galaxies and how fast are they travelling away from us? What is dark matter and why do astronomers think it pervades the universe? How heavy is the vacuum? How do galaxies form? Michael Rowan-Robinson answers these and many more questions in a highly original and intriguing way. He encapsulates our current knowledge (both what we do and don't know) of the origin and the nature of the universe into nine numbers. These cosmic numbers appear to be independent characteristics of our universe and include its age, the Hubble constant (a measure of its rate of expression), and the density of matter in the universe. Only one of the nine numbers is known with real precision, and four of them only poorly known. The complex ideas that underpin modern cosmology such as the origin of the elements and quantum theory are explained clearly and accessibly, and more speculative ideas like inflation and superstrings are also covered, but with a refreshing scepticism. While most of what we know has been learnt during the 20th century, Rowan-Robinson provides a historical perspective, paying homage to the achievements of the Greeks, Renaissance astronomers, and the age of Newton. He ends the book with a look to the future, predicting that with the further space missions we will accurately know the nine numbers described in this book by the year 2015, but concludes that the origin of the Big Bang itself will still be a mystery by the end of the twenty-first century, and perhaps even in the year 3000.

The Golden Ratio

The Story of PHI, the World's Most Astonishing Number

Author: Mario Livio

Publisher: Broadway Books

ISBN: 9780307485526

Category: Mathematics

Page: 304

View: 7689


Throughout history, thinkers from mathematicians to theologians have pondered the mysterious relationship between numbers and the nature of reality. In this fascinating book, Mario Livio tells the tale of a number at the heart of that mystery: phi, or 1.6180339887...This curious mathematical relationship, widely known as "The Golden Ratio," was discovered by Euclid more than two thousand years ago because of its crucial role in the construction of the pentagram, to which magical properties had been attributed. Since then it has shown a propensity to appear in the most astonishing variety of places, from mollusk shells, sunflower florets, and rose petals to the shape of the galaxy. Psychological studies have investigated whether the Golden Ratio is the most aesthetically pleasing proportion extant, and it has been asserted that the creators of the Pyramids and the Parthenon employed it. It is believed to feature in works of art from Leonardo da Vinci's Mona Lisa to Salvador Dali's The Sacrament of the Last Supper, and poets and composers have used it in their works. It has even been found to be connected to the behavior of the stock market! The Golden Ratio is a captivating journey through art and architecture, botany and biology, physics and mathematics. It tells the human story of numerous phi-fixated individuals, including the followers of Pythagoras who believed that this proportion revealed the hand of God; astronomer Johannes Kepler, who saw phi as the greatest treasure of geometry; such Renaissance thinkers as mathematician Leonardo Fibonacci of Pisa; and such masters of the modern world as Goethe, Cezanne, Bartok, and physicist Roger Penrose. Wherever his quest for the meaning of phi takes him, Mario Livio reveals the world as a place where order, beauty, and eternal mystery will always coexist. From the Hardcover edition.

The Mysteries of the Real Prime

Author: M. J. Shai Haran

Publisher: Oxford University Press

ISBN: 9780198508687

Category: Mathematics

Page: 240

View: 7988


In this important and original monograph, useful for both academic and professional researchers and students of mathematics and physics, the author describes his work on the Riemann zeta function and its adelic interpretation. It provides an original point of view, bringing new, highly useful dictionaries between different fields of mathematics. It develops an arithmetical approach to the continuum of real numbers and unifies many areas of mathematics including: Markov Chains, q-series, Elliptic curves, the Heisenberg group, quantum groups, and special functions (such as the Gamma, Beta, Zeta, theta, Bessel functions, the Askey-Wilson and the classical orthagonal polynomials) The text discusses real numbers from a p-adic point of view, first mooted by Araeklov. It includes original work on coherent theory, with implications for number theory and uses ideas from probability theory including Markov chains and noncommutative geometry which unifies the p-adic theory and the real theory by constructing a theory of quantum orthagonal polynomials.

Closing the Gap

Author: Vicky Neale

Publisher: Oxford University Press

ISBN: 0198788282

Category: Mathematics

Page: 208

View: 5243


Since 2013, mathematicians from around the world have made dramatic progress on a problem in number theory that goes back centuries, the Twin Primes Conjecture, which asserts that there are infinitely many pairs of prime numbers that differ by 2 (for example, 17 and 19 is such a pair). This book describes two stories: that of the recent work on the Twin Primes Conjecture, and in parallel the related ideas around primes from the previous two thousand years of mathematics.

A Two-Colored Brocade

The Imagery of Persian Poetry

Author: Annemarie Schimmel

Publisher: UNC Press Books

ISBN: 1469616378

Category: Literary Criticism

Page: 558

View: 5392


Annemarie Schimmel, one of the world's foremost authorities on Persian literature, provides a comprehensive introduction to the complicated and highly sophisticated system of rhetoric and imagery used by the poets of Iran, Ottoman Turkey, and Muslim India. She shows that these images have been used and refined over the centuries and reflect the changing conditions in the Muslim world. According to Schimmel, Persian poetry does not aim to be spontaneous in spirit or highly personal in form. Instead it is rooted in conventions and rules of prosody, rhymes, and verbal instrumentation. Ideally, every verse should be like a precious stone--perfectly formed and multifaceted--and convey the dynamic relationship between everyday reality and the transcendental. Persian poetry, Schimmel explains, is more similar to medieval European verse than Western poetry as it has been written since the Romantic period. The characteristic verse form is the ghazal--a set of rhyming couplets--which serves as a vehicle for shrouding in conventional tropes the poet's real intentions. Because Persian poetry is neither narrative nor dramatic in its overall form, its strength lies in an "architectonic" design; each precisely expressed image is carefully fitted into a pattern of linked figures of speech. Schimmel shows that at its heart Persian poetry transforms the world into a web of symbols embedded in Islamic culture.

The Other Side of Truth

The Paranormal, the Art of the Imagination, and the Human Condition

Author: Paul Kimball

Publisher: Andrews UK Limited

ISBN: 0991697510

Category: Body, Mind & Spirit

Page: 248

View: 626


In The Other Side of Truth, filmmaker Paul Kimball crosses the Rubicon of the imagination to explore the idea that what we call the 'paranormal' is actually a form of artistic expression created by an advanced non-human intelligence to inspire us to think about who we are, where we have been, and where we are going. Using his own journey of discovery as the starting point, Kimball presents the 'other side of truth' - the world not as we have been told it is, but as we are being encouraged to imagine that it could become.