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

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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

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The Jungian approach to analysis and psychotherapy has been undergoing an extensive reconsideration during the past decade. Analytical Psychology calls 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 Psychology presents 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.

The Artist and the Mathematician

Author: Amir D. Aczel

Publisher: Basic Books

ISBN: 0786732881

Category: Mathematics

Page: 256

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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.

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: 1377

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

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: 1581

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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.

Infinity

Beyond the Beyond the Beyond

Author: Lillian R. Lieber

Publisher: Paul Dry Books

ISBN: 1589880366

Category: Mathematics

Page: 262

View: 8157

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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: Harper Collins

ISBN: 0062230611

Category: Science

Page: 304

View: 2823

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The renowned science writer, mathematician, and bestselling author of Fermat's Last Theorem masterfully refutes the overreaching claims 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. 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 that 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. In this much-needed book, science journalist Amir Aczel profoundly disagrees and conclusively demonstrates that science has not, as yet, provided any definitive proof refuting the existence of God. Why Science Does Not Disprove God is his brilliant and incisive analyses of the theories and findings of such titans as Albert Einstein, Roger Penrose, Alan Guth, and Charles Darwin, all of whose major breakthroughs leave open the possibility— and even the strong likelihood—of a Creator. Bolstering his argument, Aczel lucidly discourses on arcane aspects of physics to reveal how quantum theory, the anthropic principle, the fine-tuned dance of protons and quarks, the existence of anti-matter and the theory of parallel universes, also fail to disprove God.

Georg Cantor

His Mathematics and Philosophy of the Infinite

Author: Joseph Warren Dauben

Publisher: Princeton University Press

ISBN: 9780691024479

Category: Science

Page: 404

View: 9955

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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.

Handbook of Fourier Analysis & Its Applications

Author: Robert J. Marks

Publisher: Oxford University Press

ISBN: 0195335929

Category: Technology & Engineering

Page: 772

View: 8169

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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.

God in Your Body

Kabbalah, Mindfulness and Embodied Spiritual Practice

Author: Jay Michaelson

Publisher: GodinYourBody.com

ISBN: 9781580233040

Category: Body, Mind & Spirit

Page: 247

View: 4004

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An indispensable resource to embodied spirituality reveals how to experience God rather than just engage God as an idea, sharing physical exercises, meditation practices, and visualization activities that will join body and spirit. Original.

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

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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.

Chance

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: 8261

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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.

Pendulum

Leon Foucault and the Triumph of Science

Author: Amir D. Aczel

Publisher: SUNY Press

ISBN: 9781416588436

Category: Biography & Autobiography

Page: 288

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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.

Sacred Therapy

Jewish Spiritual Teachings on Emotional Healing and Inner Wholeness

Author: Estelle Frankel

Publisher: Shambhala Publications

ISBN: 9780834825192

Category: Religion

Page: 352

View: 9599

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In Sacred Therapy Estelle Frankel travels to the heart of Jewish mysticism to reveal how people of any faith can draw upon this rich body of teachings to gain wisdom, clarity, and a deeper sense of meaning in the midst of modern life. In an engaging and accessible style, Frankel brings together tales and teachings from the Bible, the Talmud, Kabbalah, and the Hasidic traditions as well as evocative case studies and stories from her own life to create an original, inspirational guide to emotional healing and spiritual growth.

Entanglement

The Unlikely Story of how Scientists, Mathematicians, and Philosophers Proved Einstein's Spookiest Theory

Author: Amir D. Aczel

Publisher: Plume Books

ISBN: 9780452284579

Category: Science

Page: 284

View: 597

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An exploration of current theories in quantum mechanics considers the feasibility of teleportation, sharing Einstein's entanglement studies, the discoveries from new experiments, and the implications of entanglement capabilities. Reprint.

God's Equation

Einstein, Relativity, and the Expanding Universe

Author: Amir D. Aczel

Publisher: MJF Books

ISBN: 9781567316148

Category: Cosmology

Page: 236

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The Jesuit and the Skull

Author: Amir Aczel

Publisher: Penguin

ISBN: 1440637350

Category: Science

Page: 320

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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.

A Strange Wilderness

The Lives of the Great Mathematicians

Author: Amir D. Aczel

Publisher: Sterling Publishing Company Incorporated

ISBN: 9781402785849

Category: Biography & Autobiography

Page: 284

View: 6478

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"Bestselling popular science author Amir Aczel selects the most fascinating individuals and stories in the history of mathematics, presenting a colorful narrative that explores the quirky personalities behind some of the most profound, enduring theorems.Through such mathematical geniuses as Archimedes, Leonardo of Pisa (a.k.a. Fibonacci), Tartaglia ("the stutterer"), Descartes, Gottfried Leibniz, Carl Gauss, Joseph Fourier (Napoleon's mathematician), Evariste Galois, Georg Cantor, Ramanujan, and "Nicholas Bourbaki," we gather little known details about the alliances and rivalries that profoundly impacted the development of what the scheming doctor-turned-mathematician Geronimo Girolamo called "The Great Art." This story of mathematics is not your dry "college textbook" account; tales of duels, battlefield heroism, flamboyant arrogance, pranks, secret societies, imprisonment, feuds, theft, and even some fatal errors of judgment fill these pages (clearly, genius doesn't guarantee street smarts). Ultimately, readers will come away from this book entertained, with a newfound appreciation of the tenacity, complexity, eccentricity, and brilliance of the mathematical genius"--

Kabbalah of Stone

A Novel

Author: Irene Helen Reti

Publisher: N.A

ISBN: 9780984319602

Category: Fiction

Page: 292

View: 8686

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Girona, Spain, 1492'¿¿Rabbi Raphael Halevi seeks to save his community from the Inquisition. Help comes in the unexpected form of the spirit of the biblical prophet, Huldah, and a Christian scribe who has discovered his hidden Jewish identity. This lyrical and suspenseful novel of Jewish history, magic, and Kabbalah offers a feminist reinterpretation of an intriguing Hebrew prophet.