Fantastic Numbers And Where To Find Them A Cosmic Quest From Zero To Infinity


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Fantastic Numbers and Where to Find Them


Fantastic Numbers and Where to Find Them

Author: Antonio Padilla

language: en

Publisher: Farrar, Straus and Giroux

Release Date: 2022-07-26


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A fun, dazzling exploration of the strange numbers that illuminate the ultimate nature of reality. For particularly brilliant theoretical physicists like James Clerk Maxwell, Paul Dirac, or Albert Einstein, the search for mathematical truths led to strange new understandings of the ultimate nature of reality. But what are these truths? What are the mysterious numbers that explain the universe? In Fantastic Numbers and Where to Find Them, the leading theoretical physicist and YouTube star Antonio Padilla takes us on an irreverent cosmic tour of nine of the most extraordinary numbers in physics, offering a startling picture of how the universe works. These strange numbers include Graham’s number, which is so large that if you thought about it in the wrong way, your head would collapse into a singularity; TREE(3), whose finite nature can never be definitively proved, because to do so would take so much time that the universe would experience a Poincaré Recurrence—resetting to precisely the state it currently holds, down to the arrangement of individual atoms; and 10^{-120}, measuring the desperately unlikely balance of energy needed to allow the universe to exist for more than just a moment, to extend beyond the size of a single atom—in other words, the mystery of our unexpected universe. Leading us down the rabbit hole to a deeper understanding of reality, Padilla explains how these unusual numbers are the key to understanding such mind-boggling phenomena as black holes, relativity, and the problem of the cosmological constant—that the two best and most rigorously tested ways of understanding the universe contradict one another. Fantastic Numbers and Where to Find Them is a combination of popular and cutting-edge science—and a lively, entertaining, and even funny exploration of the most fundamental truths about the universe.

The Enchantment of Numbers


The Enchantment of Numbers

Author: Eric L. F. Roettger

language: en

Publisher: Springer Nature

Release Date: 2025-07-01


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Inspired by the classic Recreations in the Theory of Numbers—The Queen of Mathematics Entertains by Albert H. Beiler, this book brings the excitement of recreational number theory into the 21st century through the lens of computational techniques. While Beiler’s work, originally published in 1964, captivated readers with its breadth and charm, some sections have become dated. Here, we re-examine most of the key topics Beiler covered, while introducing fresh updates and insights rooted in computational number theory. The authors aim to present efficient computer algorithms to tackle various problems that arise in the theory of numbers, providing a deeper and more modern perspective on these timeless puzzles. Though we cannot rival Beiler’s exuberant prose, we hope our enduring fascination with these topics — cultivated over decades of study and teaching — will shine through and resonate with readers. The book is structured into 21 chapters, each focusing on different facets of number theory with which the authors have extensive expertise. From ancient problems to contemporary computational challenges, this volume will reignite the joy and wonder found in numbers while incorporating the power of modern computation. Whether you're a seasoned mathematician or a curious learner, this book promises a journey through the rich and playful landscape of number theory, making both historical and new discoveries accessible to all.

The Emerging Tradition of Hans Loewald


The Emerging Tradition of Hans Loewald

Author: Rosemary H. Balsam

language: en

Publisher: Taylor & Francis

Release Date: 2024-07-15


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Alongside its companion volume, The Legacy and Promise of Hans Loewald, this book addresses the current lack of familiarity with the ideas and life of the eminent psychoanalytic teacher and scholar, Hans Loewald (1906–1993). It provides an account of the evolution of his ideas across different disciplinary fields. Contributors to this volume take a broad look at Loewald’s impact on the fields of sociology, anthropology, and feminism, language development, as well as delving into his work’s significance for the sublimatory potential of religion, music, the arts. This volume shows how Loewald’s thinking about internalization can adapt to our ever-changing social and cultural environment, even offering a Loewaldian lens to understand the contemporary use of psychedelics in mental health treatment. Ultimately, this book demonstrates that, after Loewald – as would have been his wish – for those who read him, psychoanalysis as an approach to mental health can never languish in stasis. Animating this powerful, yet contained and complex man, there are contributions from his family, students, and analysands, and an introduction to the new virtual Loewald Center, making this volume essential reading for any psychoanalyst or psychotherapist working today.