The Mystery of the Aleph

Mathematics, the Kabbalah, and the Search for Infinity

Author: Amir D. Aczel

Publisher: Simon and Schuster

ISBN: 0743422996

Category: Biography & Autobiography

Page: 272

View: 7453

Journeys into the work of Georg Cantor, a Russian-born German mathematician, who developed set theory and the concept of infinite numbers, but was condemned by his peers and spent many years in an asylum.

Analytical Psychology

Contemporary Perspectives in Jungian Analysis

Author: Joseph Cambray,Linda Carter

Publisher: Psychology Press

ISBN: 9781583919989

Category: Psychology

Page: 284

View: 7962

The Jungian approach to analysis and psychotherapy has been undergoing an extensive reconsideration during the past decade. Analytical Psychologycalls special attention to the areas that have been most impacted: the core concepts and practices of the Jungian tradition, along with relevant intellectual and historical background. Internationally renowned authors drawing on the forefront of advance in neuroscience, evolution, psychoanalysis, and philosophical and historical studies, provide an overview of the most important aspects of these developments. Beginning with a chronicle of the history of the Jungian movement, areas covered include: * a background to the notion of 'archetype' * human development from a Jungian perspective * the creative extension of Jung's theory of psychological types * re-evaluation of traditional Jungian methods of treatment in the light of contemporary scientific findings * Jungian development of transference and countertransference * a new formulation of synchronicity. Analytical Psychologypresents a unique opportunity to witness a school of psychotherapy going through a renaissance. Drawing on original insights from its founder, C.G. Jung, this book helps focus and shape the current state of analytical psychology and point to areas for future exploration.

Naming Infinity

A True Story of Religious Mysticism and Mathematical Creativity

Author: Loren Graham,Jean-Michel Kantor

Publisher: Harvard University Press

ISBN: 0674032934

Category: History

Page: 239

View: 5335

Looks at the competition between French and Russian mathematicians over the nature of infinity during the twentieth century.

Handbook of Fourier Analysis & Its Applications

Author: Robert J. Marks

Publisher: Oxford University Press

ISBN: 0195335929

Category: Technology & Engineering

Page: 772

View: 1327

Fourier analysis has many scientific applications - in physics, number theory, combinatorics, signal processing, probability theory, statistics, option pricing, cryptography, acoustics, oceanography, optics and diffraction, geometry, and other areas. In signal processing and related fields, Fourier analysis is typically thought of as decomposing a signal into its component frequencies and their amplitudes. This practical, applications-based professional handbook comprehensively covers the theory and applications of Fourier Analysis, spanning topics from engineering mathematics, signal processing and related multidimensional transform theory, and quantum physics to elementary deterministic finance and even the foundations of western music theory. This handbook's audience will be composed of professionals in the engineering and applied mathematics communities, advanced undergraduate and beginning graduate students and academics in electrical engineering, computer science, statistics, and applied mathematics. It is meant to replace several less comprehensive volumes on the subject - such as Processing of Multidimensional Signals by Alexandre Smirnov, Modern Sampling Theory by John J. Benedetto and Paulo J.S.G. Ferreira, Vector Space Projections by Henry Stark and Yongyi Yang, and Fourier Analysis and Imaging by Ronald N. Bracewell - which are often used as textbooks. So in addition to being primarily used as a professional handbook, it includes sampleproblems and their solutions at the end of each section and thus serves as a textbook for advanced undergraduate students and beginning graduate students in courses such as: Multidimensional Signals and Systems, Signal Analysis, Introduction to Shannon Sampling and Interpolation Theory, Random Variables and Stochastic Processes, and Signals and Linear Systems.

Georg Cantor

His Mathematics and Philosophy of the Infinite

Author: Joseph Warren Dauben

Publisher: Princeton University Press

ISBN: 9780691024479

Category: Science

Page: 404

View: 5968

One of the greatest revolutions in mathematics occurred when Georg Cantor (1845-1918) promulgated his theory of transfinite sets. This revolution is the subject of Joseph Dauben's important studythe most thorough yet writtenof the philosopher and mathematician who was once called a "corrupter of youth" for an innovation that is now a vital component of elementary school curricula. Set theory has been widely adopted in mathematics and philosophy, but the controversy surrounding it at the turn of the century remains of great interest. Cantor's own faith in his theory was partly theological. His religious beliefs led him to expect paradoxes in any concept of the infinite, and he always retained his belief in the utter veracity of transfinite set theory. Later in his life, he was troubled by recurring attacks of severe depression. Dauben shows that these played an integral part in his understanding and defense of set theory.

The Artist and the Mathematician

Author: Amir D. Aczel

Publisher: Basic Books

ISBN: 0786732881

Category: Mathematics

Page: 256

View: 4872

Nicolas Bourbaki, whose mathematical publications began to appear in the late 1930s and continued to be published through most of the twentieth century, was a direct product as well as a major force behind an important revolution that took place in the early decades of the twentieth century that completely changed Western culture. Pure mathematics, the area of Bourbaki's work, seems on the surface to be an abstract field of human study with no direct connection with the real world. In reality, however, it is closely intertwined with the general culture that surrounds it. Major developments in mathematics have often followed important trends in popular culture; developments in mathematics have acted as harbingers of change in the surrounding human culture. The seeds of change, the beginnings of the revolution that swept the Western world in the early decades of the twentieth century — both in mathematics and in other areas — were sown late in the previous century. This is the story both of Bourbaki and the world that created him in that time. It is the story of an elaborate intellectual joke — because Bourbaki, one of the foremost mathematicians of his day — never existed.


Beyond the Beyond the Beyond

Author: Lillian R. Lieber

Publisher: Paul Dry Books

ISBN: 1589880366

Category: Mathematics

Page: 262

View: 719

This book offers an entertaining, yet thorough, explanation of the concept of, yes, infinity. Accessible to non-mathematicians, this book also cleverly connects mathematical reasoning to larger issues in society.

Why Science Does Not Disprove God

Author: Amir Aczel

Publisher: William Morrow

ISBN: 9780062230591

Category: Science

Page: 304

View: 2797

The renowned science writer, mathematician, and bestselling author of Fermat's Last Theorem masterfully refutes the overreaching claims of the "New Atheists," providing millions of educated believers with a clear, engaging explanation of what science really says, how there's still much space for the Divine in the universe, and why faith in both God and empirical science are not mutually exclusive In recent years a highly publicized coterie of scientists and thinkers, including Richard Dawkins, the late Christopher Hitchens, and Lawrence Krauss, have vehemently contended that breakthroughs in modern science have disproven the existence of God, asserting we must accept that the creation of the universe came out of nothing, that religion is evil, that evolution fully explains the dazzling complexity of life, and more. However, in this much-needed book, veteran science journalist Amir Aczel profoundly disagrees and convincingly demonstrates that science has not, as yet, provided any definitive proof refuting the existence of God. Based on interviews with eleven Nobel Prize winners and many other prominent physicists, biologists, anthropologists, and psychologists, as well as leading theologians and spiritual leaders, Why Science Does Not Disprove God is a fascinating tour through the history of science and a brilliant and incisive analysis of the religious implications of our ever-increasing understanding of life and the universe. Throughout, Aczel reminds us that science, at its best, is about the dispassionate pursuit of truth—not a weapon in cultural debates. Respectful of both science and faith—and argued from the perspective of no single religious tradition—Aczel's book is an essential corrective that should be read by all.

Finding Zero

A Mathematician's Odyssey to Uncover the Origins of Numbers

Author: Amir D. Aczel

Publisher: St. Martin's Press

ISBN: 1466879106

Category: Mathematics

Page: 256

View: 9208

The invention of numerals is perhaps the greatest abstraction the human mind has ever created. Virtually everything in our lives is digital, numerical, or quantified. The story of how and where we got these numerals, which we so depend on, has for thousands of years been shrouded in mystery. Finding Zero is an adventure filled saga of Amir Aczel's lifelong obsession: to find the original sources of our numerals. Aczel has doggedly crisscrossed the ancient world, scouring dusty, moldy texts, cross examining so-called scholars who offered wildly differing sets of facts, and ultimately penetrating deep into a Cambodian jungle to find a definitive proof. Here, he takes the reader along for the ride. The history begins with the early Babylonian cuneiform numbers, followed by the later Greek and Roman letter numerals. Then Aczel asks the key question: where do the numbers we use today, the so-called Hindu-Arabic numerals, come from? It is this search that leads him to explore uncharted territory, to go on a grand quest into India, Thailand, Laos, Vietnam, and ultimately into the wilds of Cambodia. There he is blown away to find the earliest zero—the keystone of our entire system of numbers—on a crumbling, vine-covered wall of a seventh-century temple adorned with eaten-away erotic sculptures. While on this odyssey, Aczel meets a host of fascinating characters: academics in search of truth, jungle trekkers looking for adventure, surprisingly honest politicians, shameless smugglers, and treacherous archaeological thieves—who finally reveal where our numbers come from.

The Mathematics of Infinity

A Guide to Great Ideas

Author: Theodore G. Faticoni

Publisher: John Wiley & Sons

ISBN: 0470049138

Category: Mathematics

Page: 320

View: 7211

World Authors, 2000-2005

Author: Jennifer Curry

Publisher: H. W. Wilson


Category: Biography & Autobiography

Page: 800

View: 1276

- Well-researched, in-depth accounts (averaging 3,000 words), explore writers' backgrounds, formative experiences, and literary achievements. - Many autobiographical accounts, written specifically for this volume. - Profiles also highlight critical response to authors' works. - Entries include suggested reading lists and bibliographies. - Photo of the author accompanies many of the entries.


A Guide to Gambling, Love, the Stock Market & Just about Everything Else

Author: Amir D. Aczel

Publisher: Basic Books

ISBN: 9781560257943

Category: Mathematics

Page: 161

View: 7341

In a followup to his Fermat's Last Theorem, the author shows readers how to maximize or minimize chance, depending on the circumstance, analyzing luck from a statistitian's perspective.

The Jesuit and the Skull

Author: Amir Aczel

Publisher: Penguin

ISBN: 1440637350

Category: Science

Page: 320

View: 7729

From the New York Times bestselling author of Fermat?s Last Theorem, ?an extraordinary story?( Philadelphia Inquirer) of discovery, evolution, science, and faith. In 1929, French Jesuit priest Pierre Teilhard de Chardin was a part of a group of scientists that uncovered a skull that became known as Peking Man, a key evolutionary link that left Teilhard torn between science and his ancient faith, and would leave him ostracized by his beloved Catholic Church. His struggle is at the heart of The Jesuit and the Skull, which takes readers across continents and cultures in a fascinating exploration of one of the twentieth century?s most important discoveries, and one of the world?s most provocative pieces of evidence in the roiling debate between creationism and evolution.


The Greatest Mystery in Physics

Author: Amir D. Aczel

Publisher: Jossey-Bass

ISBN: 9780470850466

Category: Quantum theory

Page: 284

View: 8948

Could 'Beam me up, Scotty' soon become a reality? The lines between 'science' and 'science fiction' have become increasingly blurred. Now, quantum mechanics promises that some of humanity's wildest dreams may be realized. Serious scientists, working from Einstein's theories, have been investigating the phenomenon known as 'entanglement' one of the strangest aspects of our strange universe. According to Einstein, quantum mechanics required entanglement, the idea that subatomic particles could become linked and that a change to one such particle would instantly be reflected in its counterpart, even if separated by a universe. Einstein felt that if quantum theory could produce such bizarre effects, then it had to be invalid. But new experiments show not only that it does happen, but that it may lead to unbreakable codes and even teleportation, perhaps in our lifetimes. This is a highly accessible yet technically well researched introduction to the bizarre phenomenon of entanglement and the scientists who have helped to discover it. The book provides an excellent introduction to a complex but exciting branch of science that could have significant implications for our understanding of the world and the way we live. * Amir D. Aczel is an internationally known author and speaker who attracts large crowds * We have all seen teleportation in science fiction. This book shows how it could become a reality. * The first book to explain the theory of entanglement and to make recent developments in quantum mechanics widely available. * Gives an insight into the lives and thinking of some of the leading physicists of the past century.


Leon Foucault and the Triumph of Science

Author: Amir D. Aczel

Publisher: SUNY Press

ISBN: 9781416588436

Category: Biography & Autobiography

Page: 288

View: 8800

In 1851, struggling, self-taught physicist Léon Foucault performed a dramatic demonstration inside the Panthéon in Paris. By tracking a pendulum's path as it swung repeatedly across the interior of the large ceremonial hall, Foucault offered the first definitive proof -- before an audience that comprised the cream of Parisian society, including the future emperor, Napoleon III -- that the earth revolves on its axis. Through careful, primary research, world-renowned author Amir Aczel has revealed the life of a gifted physicist who had almost no formal education in science, and yet managed to succeed despite the adversity he suffered at the hands of his peers. The range and breadth of Foucault's discoveries is astonishing: He gave us the modern electric compass, devised an electric microscope, invented photographic technology, and made remarkable deductions about color theory, heat waves, and the speed of light. Yet until now so little has been known about his life. Richly detailed and evocative, Pendulum tells of the illustrious period in France during the Second Empire; of Foucault's relationship with Napoleon III, a colorful character in his own right; and -- most notably -- of the crucial triumph of science over religion. Dr. Aczel has crafted a fascinating narrative based on the life of this most astonishing and largely unrecognized scientist, whose findings answered many age-old scientific questions and posed new ones that are still relevant today.

The Spectator

Author: N.A

Publisher: N.A


Category: English literature

Page: N.A

View: 1378

God's Equation

Einstein, Relativity and the Expanding Universe

Author: Amir D. Aczel

Publisher: Piatkus Books

ISBN: 9780749921446

Category: Cosmology

Page: 236

View: 3545

Dealing with cosmology, this book reveals astronomical observations that indicate the presence of a previously unknown force in the universe. It explains, in accessible terms, Einstein's theories and his development of the cosmological constant.

Descartes' Secret Notebook

A True Tale of Mathematics, Mysticism, and the Quest to Understand the Universe

Author: Amir D. Aczel

Publisher: Broadway

ISBN: 0767920341

Category: Mathematics

Page: 273

View: 3492

A portrait of the seventeenth-century philosopher and mathematician looks at his interest in mysticism and probable membership in the occult brotherhood of Rosicrucians, and his secret notebook, which he kept in code, attempting to redecipher the contents of the long-lost volume.

Probability 1

Author: Amir D. Aczel, Ph.D.

Publisher: Houghton Mifflin Harcourt

ISBN: 054434166X

Category: Science

Page: 240

View: 9575

For thousands of years, it was the visionaries and writers who argued that we cannot be alone-that there is intellegent life in the universe. Now, with the discoveries of the Hubble Telescope, data emerging from Mars, and knowledge about life at the extremes, scientists are taking up where they left off. Amir Aczel, author of Fermat's Last Theorem, pulls together everyting science has discovered, and mixes in proabability theory, to argure the case for the existence of intelligent life beyond this planet. Probability 1 is an extraordinary tour de force in which the author draws on cosmology, math, and biology to tell the rollicking good story of scientists tackling important scientific questions that help answer this fundamental question. What is the probability of intelligent life in the universe? Read this book, and you'll be convinced, by the power of the argument and the excitement of the science.