Mathematical Structures Of Information And The Deep Universe
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Our Mathematical Universe
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Author : Max Tegmark
language : en
Publisher: Vintage
Release Date : 2014-01-07
Our Mathematical Universe written by Max Tegmark and has been published by Vintage this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-01-07 with Science categories.
Max Tegmark leads us on an astonishing journey through past, present and future, and through the physics, astronomy and mathematics that are the foundation of his work, most particularly his hypothesis that our physical reality is a mathematical structure and his theory of the ultimate multiverse. In a dazzling combination of both popular and groundbreaking science, he not only helps us grasp his often mind-boggling theories, but he also shares with us some of the often surprising triumphs and disappointments that have shaped his life as a scientist. Fascinating from first to last—this is a book that has already prompted the attention and admiration of some of the most prominent scientists and mathematicians.
Geometric Structures Of Information
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Author : Frank Nielsen
language : en
Publisher: Springer
Release Date : 2018-11-19
Geometric Structures Of Information written by Frank Nielsen and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-11-19 with Technology & Engineering categories.
This book focuses on information geometry manifolds of structured data/information and their advanced applications featuring new and fruitful interactions between several branches of science: information science, mathematics and physics. It addresses interrelations between different mathematical domains like shape spaces, probability/optimization & algorithms on manifolds, relational and discrete metric spaces, computational and Hessian information geometry, algebraic/infinite dimensional/Banach information manifolds, divergence geometry, tensor-valued morphology, optimal transport theory, manifold & topology learning, and applications like geometries of audio-processing, inverse problems and signal processing. The book collects the most important contributions to the conference GSI’2017 – Geometric Science of Information.
An Introduction To The Mathematical Structure Of Quantum Mechanics
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Author : F. Strocchi
language : en
Publisher: World Scientific
Release Date : 2008
An Introduction To The Mathematical Structure Of Quantum Mechanics written by F. Strocchi and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008 with Science categories.
Arising out of the need for Quantum Mechanics (QM) to be part of the common education of mathematics students, this book formulates the mathematical structure of QM in terms of the C*-algebra of observables, which is argued on the basis of the operational definition of measurements and the duality between states and observables.
The Nine Numbers Of The Cosmos
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Author : Michael Rowan-Robinson
language : en
Publisher: OUP Oxford
Release Date : 2001-03-15
The Nine Numbers Of The Cosmos written by Michael Rowan-Robinson and has been published by OUP Oxford this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001-03-15 with Science categories.
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.
Introduction To The Mathematical Structure Of Quantum Mechanics An A Short Course For Mathematicians
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Author : Franco Strocchi
language : en
Publisher: World Scientific Publishing Company
Release Date : 2005-11-17
Introduction To The Mathematical Structure Of Quantum Mechanics An A Short Course For Mathematicians written by Franco Strocchi and has been published by World Scientific Publishing Company this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-11-17 with Science categories.
This book arises out of the need for Quantum Mechanics (QM) to be part of the common education of mathematics students. Rather than starting from the Dirac-Von Neumann axioms, the book offers a short presentation of the mathematical structure of QM using the C--algebraic structure of the observable based on the operational definition of measurements and the duality between states and observables. The description of states and observables as Hilbert space vectors and operators is then derived from the GNS and Gelfand-Naimark Theorems.For finite degrees of freedom, the Weyl algebra codifies the experimental limitations on the measurements of position and momentum (Heisenberg uncertainty relations) and Schroedinger QM follows from the von Neumann uniqueness theorem.The existence problem of the dynamics is related to the self-adjointness of the differential operator describing the Hamiltonian and solved by the Rellich-Kato theorems. Examples are discussed which include the explanation of the discreteness of the atomic spectra.Because of the increasing interest in the relation between QM and stochastic processes, a final chapter is devoted to the functional integral approach (Feynman-Kac formula), the formulation in terms of ground state correlations (Wightman functions) and their analytic continuation to imaginary time (Euclidean QM). The quantum particle on a circle as an example of the interplay between topology and functional integral is also discussed in detail.
Puzzles To Unravel The Universe
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Author : Cumrun Vafa
language : en
Publisher:
Release Date : 2020-06-08
Puzzles To Unravel The Universe written by Cumrun Vafa and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-06-08 with categories.
Beneath all of the complex and formidable mathematical structures that formulate physical laws rest simple but deep nuggets of truth. It is these simple truths, and not the complicated technical details, that scientists strive for when uncovering the laws of nature. Fortunately, these core ideas can often be illustrated with simple mathematical puzzles. These puzzles are so simplified that one can tackle them and appreciate their meaning without using any complicated math. This book aims to take the reader on a journey to unravel the laws of the universe through fun puzzles. This book includes over a hundred puzzles and their solutions, along with discussion about how they relate to deep ideas in physics and math. Examples are drawn from classical physics, such as Newton's laws and Einstein's theory of relativity, as well as from modern physics, including black holes and string theory. This book is designed for the general public, and it does not require extensive background in mathematics or physics--just a sense of curiosity! About the Author: Cumrun Vafa is the Hollis Professor of Mathematicks and Natural Philosophy in the Physics Department at Harvard University, where he has been teaching and researching theoretical physics since 1985. Professor Vafa is world-renowned for his groundbreaking work in string theory. He is one of the founders of the duality revolution in string theory, which has reshaped our understanding of the fundamental laws of the universe. Professor Vafa has received numerous prizes and recognitions for his work on theoretical physics, including the 2017 Breakthrough Prize in Fundamental Physics and the 2008 Dirac Medal from the ICTP. For more information about the author see his website: https://www.cumrunvafa.org/ .
Partitioning A Many Dimensional Containment Space
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Author : Dr. Martin Concoyle
language : en
Publisher: Trafford Publishing
Release Date : 2014-01-16
Partitioning A Many Dimensional Containment Space written by Dr. Martin Concoyle and has been published by Trafford Publishing this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-01-16 with Education categories.
This book is an introduction to the simple math patterns used to describe fundamental, stable, spectral-orbital physical systems (represented as discrete hyperbolic shapes). The containment set has many dimensions, and these dimensions possess macroscopic geometric properties (which are discrete hyperbolic shapes). Thus, it is a description that transcends the idea of materialism (i.e., it is higher-dimensional), and it can also be used to model a life-form as a unified, high-dimension, geometric construct, which generates its own energy and which has a natural structure for memory, where this construct is made in relation to the main property of the description being the spectral properties of both material systems and of the metric-spaces that contain the material systems, where material is simply a lower dimension metric-space and where both material components and metric-spaces are in resonance with the containing space.
Toward A Theology Of Scientific Endeavour
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Author : Professor Christopher B Kaiser
language : en
Publisher: Ashgate Publishing, Ltd.
Release Date : 2013-05-28
Toward A Theology Of Scientific Endeavour written by Professor Christopher B Kaiser and has been published by Ashgate Publishing, Ltd. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-05-28 with Religion categories.
Foundations of science are specific conditions of the cosmos, of human intelligence, of cultural beliefs, and of technological structures that make the pursuit of modern science possible. Each of the four foundations of scientific endeavour can be studied as a topic on its own. The concurrent study of all four together reveals several tensions and interconnections among them that point the way to a greater unification of faith and science. This book explores four foundations of scientific endeavour and investigates some of the paradoxes each of them raises. Kaiser shows that the resolution of these paradoxes inevitably leads us into theological discourse and raises new challenges for theological endeavour. In order to address these challenges, Kaiser draws on the wider resources of the Judeo-Christian tradition and argues for a refocusing of contemporary theology from the perspective of natural science.
A Course In Modern Mathematical Physics
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Author : Peter Szekeres
language : en
Publisher: Cambridge University Press
Release Date : 2004-12-16
A Course In Modern Mathematical Physics written by Peter Szekeres and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-12-16 with Mathematics categories.
This textbook, first published in 2004, provides an introduction to the major mathematical structures used in physics today.
The Enigma Of Numbers
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Author : Pasquale De Marco
language : en
Publisher: Pasquale De Marco
Release Date : 2025-04-25
The Enigma Of Numbers written by Pasquale De Marco and has been published by Pasquale De Marco this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-04-25 with Psychology categories.
**The Enigma of Numbers** is an enthralling exploration of the enigmatic world of numbers, revealing their profound significance, their hidden patterns, and their impact on various aspects of our lives. Embark on a journey that spans time and culture, uncovering the mystical significance of numbers in ancient civilizations, the role of numbers in modern technology, and the vielfältig applications of numbers in our daily lives. Witness the power of numbers to shape our perception of reality, to influence our decisions, and to shape our destinies. Delve into the psychological impact of numbers, examining how they affect our emotions, our behavior, and our decision-making. Discover the fascinating stories and anecdotes that illustrate the profound impact of numbers on human history and culture. Meet mathematicians, scientists, artists, and philosophers who have dedicated their lives to understanding the mysteries of numbers, and learn from their insights and discoveries. From the earliest civilizations to the modern world, numbers have played a crucial role in shaping our understanding of the universe and our place within it. In this book, we will explore the concept of zero and its significance, the Fibonacci sequence and its patterns in nature, the elusive constant pi, the golden ratio and its applications in art and architecture, and the concept of infinity and its implications for our understanding of the universe. With its captivating blend of history, science, psychology, and philosophy, The Enigma of Numbers offers a unique perspective on the world of numbers, revealing their beauty, their power, and their mystery. This book is a must-read for anyone fascinated by the enigmatic world of numbers and their profound impact on our lives. If you like this book, write a review on google books!