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1 Nahin, Paul J The Probability Integral I12823 2023 eBook  
2 Wessling, Bernhard What a Coincidence! I12697 2023 eBook  
3 Shiraishi, Naoto An Introduction to Stochastic Thermodynamics I12641 2023 eBook  
4 Ben-Naim, Arieh Information Theory and Selected Applications I12579 2023 eBook  
5 Aguirre, Anthony Undecidability, Uncomputability, and Unpredictability I11665 2021 eBook  
6 Primas, Hans Knowledge and Time I10262 2017 eBook  
7 ??irca, Simon Probability for Physicists I10254 2016 eBook  
8 Plotnitsky, Arkady The Principles of Quantum Theory, From Planck's Quanta to the Higgs Boson I10089 2016 eBook  
9 Weiss, Thomas Reflected Brownian Motions in the KPZ Universality Class I09966 2017 eBook  
10 Livan, Giacomo Introduction to Random Matrices I09912 2018 eBook  
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TitleThe Probability Integral : Its Origin, Its Importance, and Its Calculation
Author(s)Nahin, Paul J
PublicationCham, 1. Imprint: Springer 2. Springer Nature Switzerland, 2023.
DescriptionXXX, 189 p. 34 illus. in color : online resource
Abstract NoteThis book tells the story of the probability integral, the approaches to analyzing it throughout history, and the many areas of science where it arises. The so-called probability integral, the integral over the real line of a Gaussian function, occurs ubiquitously in mathematics, physics, engineering and probability theory. Stubbornly resistant to the undergraduate toolkit for handling integrals, calculating its value and investigating its properties occupied such mathematical luminaries as De Moivre, Laplace, Poisson, and Liouville. This book introduces the probability integral, puts it into a historical context, and describes the different approaches throughout history to evaluate and analyze it. The author also takes entertaining diversions into areas of math, science, and engineering where the probability integral arises: as well as being indispensable to probability theory and statistics, it also shows up naturally in thermodynamics and signal processing. Designed to be accessibleto anyone at the undergraduate level and above, this book will appeal to anyone interested in integration techniques, as well as historians of math, science, and statistics
ISBN,Price9783031384165
Keyword(s)1. EBOOK - SPRINGER 2. ENGINEERING MATHEMATICS 3. HISTORY 4. History of Mathematical Sciences 5. History of Statistics 6. Mathematical Methods in Physics 7. MATHEMATICAL PHYSICS 8. MATHEMATICS 9. Measure and Integration 10. MEASURE THEORY 11. PROBABILITIES 12. PROBABILITY THEORY 13. Statistics??
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TitleWhat a Coincidence! : On Unpredictability, Complexity and the Nature of Time
Author(s)Wessling, Bernhard
PublicationWiesbaden, 1. Imprint: Springer 2. Springer Fachmedien Wiesbaden, 2023.
DescriptionXIX, 234 p. 47 illus., 38 illus. in color : online resource
Abstract NoteHow do chance and coincidence enter our world? And why are so many things unpredictable? Through an accessible, exciting and amusing narrative, the author takes us into the world of chemistry, quantum physics and biology. Touching on astronomy and philosophy, we witness a rewarding journey of discovery. In the process, he develops a completely new view on chance, coincidence and randomness based on the laws of nature. Here, the omnipresent non-equilibrium plays an extremely decisive role, because it generates the complex structures in our world. Finally, on this basis, he presents an equally simple and captivating hypothesis about the nature of time. This nonfiction book provides deep insight into the fascination of research, the painful search for fundamental understanding, and the struggle for scientific knowledge. The Author Dr. Bernhard Wessling is a chemist and entrepreneur. His main occupation has been chemical product and process development, including basic innovations. In addition, he conducted basic research in colloid chemistry and physics, as well as non-equilibrium thermodynamics. As a sideline, he is one of two managing partners of a large organic farm. For decades, he has been actively involved in environmental, nature and species protection on a voluntary basis and has conducted behavioral research on wild cranes for many years. The translation was done with the help of artificial intelligence. The text has subsequently been revised further by the author to ensure content correctness and by a professional english native speaker copy editor, Marc Beschler, in order to refine the translation linguistically
ISBN,Price9783658406714
Keyword(s)1. EBOOK - SPRINGER 2. Engineering Thermodynamics, Heat and Mass Transfer 3. Heat engineering 4. HEAT TRANSFER 5. MASS TRANSFER 6. PHILOSOPHY 7. Philosophy of Probability 8. PROBABILITIES 9. PROBABILITY THEORY 10. THERMODYNAMICS
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TitleAn Introduction to Stochastic Thermodynamics : From Basic to Advanced
Author(s)Shiraishi, Naoto
PublicationSingapore, 1. Imprint: Springer 2. Springer Nature Singapore, 2023.
DescriptionXIV, 443 p. 69 illus., 46 illus. in color : online resource
Abstract NoteThis book presents the fundamentals of stochastic thermodynamics, one of the most central subjects in non-equilibrium statistical mechanics. It also explores many recent advances, e.g., in information thermodynamics, the thermodynamic uncertainty relation, and the trade-off relation between efficiency and power. The content is divided into three main parts, the first of which introduces readers to fundamental topics in stochastic thermodynamics, e.g., the basics of stochastic processes, the fluctuation theorem and its variants, information thermodynamics, and large deviation theory. In turn, parts two and three explore advanced topics such as autonomous engines (engines not controlled externally) and finite speed engines, while also explaining the key concepts from recent stochastic thermodynamics theory that are involved. To fully benefit from the book, readers only need an undergraduate-level background in statistical mechanics and quantum mechanics; no backgroundin information theory or stochastic processes is needed. Accordingly, the book offers a valuable resource for early graduate or higher-level readers who are unfamiliar with this subject but want to keep up with the cutting-edge research in this field. In addition, the author???s vivid descriptions interspersed throughout the book will help readers grasp ???living??? research developments and begin their own research in this field
ISBN,Price9789811981869
Keyword(s)1. BIOPHYSICS 2. EBOOK - SPRINGER 3. Mathematical Methods in Physics 4. MATHEMATICAL PHYSICS 5. PROBABILITIES 6. PROBABILITY THEORY 7. SPINTRONICS 8. Theoretical, Mathematical and Computational Physics 9. THERMODYNAMICS
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TitleInformation Theory and Selected Applications
Author(s)Ben-Naim, Arieh
PublicationCham, 1. Imprint: Springer 2. Springer International Publishing, 2023.
DescriptionXV, 232 p. 199 illus., 24 illus. in color : online resource
Abstract NoteThis book focuses on analysing the applications of the Shannon Measure of Information (SMI). The book introduces the concept of frustration and discusses the question of the quantification of this concept within information theory (IT), while it also focuses on the interpretation of the entropy of systems of interacting particles in terms of the SMI and of mutual information. The author examines the question of the possibility of measuring the extent of frustration using mutual information and discusses some classical examples of processes of mixing and assimilation for which the entropy changes are interpreted in terms of SMI. A description of a few binding systems and the interpretation of cooperativity phenomena in terms of mutual information are also presented, along with a detailed discussion on the general method of using maximum SMI in order to find the ???best-guess??? probability distribution. This book is a valuable contribution to the field of information theory and will be of great interest to any scientist who is interested in IT and in its potential applications
ISBN,Price9783031212765
Keyword(s)1. Chemistry, Physical and theoretical 2. Data structures (Computer science) 3. Data Structures and Information Theory 4. EBOOK - SPRINGER 5. INFORMATION THEORY 6. PROBABILITIES 7. PROBABILITY THEORY 8. STATISTICAL MECHANICS 9. THEORETICAL CHEMISTRY 10. THERMODYNAMICS
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TitleUndecidability, Uncomputability, and Unpredictability
Author(s)Aguirre, Anthony;Merali, Zeeya;Sloan, David
PublicationCham, Springer International Publishing, 2021.
DescriptionVIII, 180 p. 27 illus., 17 illus. in color : online resource
Abstract NoteFor a brief time in history, it was possible to imagine that a sufficiently advanced intellect could, given sufficient time and resources, in principle understand how to mathematically prove everything that was true. They could discern what math corresponds to physical laws, and use those laws to predict anything that happens before it happens. That time has passed. G??del???s undecidability results (the incompleteness theorems), Turing???s proof of non-computable values, the formulation of quantum theory, chaos, and other developments over the past century have shown that there are rigorous arguments limiting what we can prove, compute, and predict. While some connections between these results have come to light, many remain obscure, and the implications are unclear. Are there, for example, real consequences for physics ??? including quantum mechanics ??? of undecidability and non-computability? Are there implications for our understanding of the relations between agency, intelligence, mind, and the physical world? This book, based on the winning essays from the annual FQXi competition, contains ten explorations of Undecidability, Uncomputability, and Unpredictability. The contributions abound with connections, implications, and speculations while undertaking rigorous but bold and open-minded investigation of the meaning of these constraints for the physical world, and for us as humans
ISBN,Price9783030703547
Keyword(s)1. Computability and Recursion Theory 2. COMPUTABLE FUNCTIONS 3. EBOOK 4. EBOOK - SPRINGER 5. Foundations of Physics and Cosmology 6. MATHEMATICAL PHYSICS 7. PHILOSOPHY OF SCIENCE 8. PROBABILITIES 9. PROBABILITY THEORY 10. RECURSION THEORY 11. SCIENCE 12. Science???Philosophy 13. Theoretical, Mathematical and Computational Physics
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TitleKnowledge and Time
Author(s)Primas, Hans;Atmanspacher, Harald
PublicationCham, Springer International Publishing, 2017.
DescriptionXV, 427 p. 38 illus., 10 illus. in color : online resource
Abstract NoteThis is a unique volume by a unique scientist, which combines conceptual, formal, and engineering approaches in a way that is rarely seen. Its core is the relation between ways of learning and knowing on the one hand and different modes of time on the other. Partial Boolean logic and the associated notion of complementarity are used to express this relation, and mathematical tools of fundamental physics are used to formalize it. Along the way many central philosophical problems are touched and addressed, above all the mind-body problem. Completed only shortly before the death of the author, the text has been edited and annotated by the author's close collaborator Harald Atmanspacher
ISBN,Price9783319473703
Keyword(s)1. Cognitive psychology 2. EBOOK 3. EBOOK - SPRINGER 4. EPISTEMOLOGY 5. History and Philosophical Foundations of Physics 6. Philosophy and science 7. PHILOSOPHY OF SCIENCE 8. PHYSICS 9. PROBABILITIES 10. Probability Theory and Stochastic Processes
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TitleProbability for Physicists
Author(s)??irca, Simon
PublicationCham, Springer International Publishing, 2016.
DescriptionXIV, 415 p. 142 illus., 29 illus. in color : online resource
Abstract NoteThis book is designed as a practical and intuitive introduction to probability, statistics and random quantities for physicists. The book aims at getting to the main points by a clear, hands-on exposition supported by well-illustrated and worked-out examples. A strong focus on applications in physics and other natural sciences is maintained throughout. In addition to basic concepts of random variables, distributions, expected values and statistics, the book discusses the notions of entropy, Markov processes, and fundamentals of random number generation and Monte-Carlo methods
ISBN,Price9783319316116
Keyword(s)1. Chemistry, Physical and theoretical 2. COMPLEX SYSTEMS 3. DYNAMICAL SYSTEMS 4. EBOOK 5. EBOOK - SPRINGER 6. Mathematical Applications in the Physical Sciences 7. Mathematical Methods in Physics 8. MATHEMATICAL PHYSICS 9. PHYSICS 10. PROBABILITIES 11. Probability Theory and Stochastic Processes 12. STATISTICAL PHYSICS 13. Statistical Physics and Dynamical Systems 14. Theoretical and Computational Chemistry
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TitleThe Principles of Quantum Theory, From Planck's Quanta to the Higgs Boson : The Nature of Quantum Reality and the Spirit of Copenhagen
Author(s)Plotnitsky, Arkady
PublicationCham, Springer International Publishing, 2016.
DescriptionXXXIV, 313 p : online resource
Abstract NoteThe book considers foundational thinking in quantum theory, focusing on the role the fundamental principles and principle thinking there, including thinking that leads to the invention of new principles, which is, the book contends, one of the ultimate achievements of theoretical thinking in physics and beyond. The focus on principles, prominent during the rise and in the immediate aftermath of quantum theory, has been uncommon in more recent discussions and debates concerning it. The book argues, however, that exploring the fundamental principles and principle thinking is exceptionally helpful in addressing the key issues at stake in quantum foundations and the seemingly interminable debates concerning them. Principle thinking led to major breakthroughs throughout the history of quantum theory, beginning with the old quantum theory and quantum mechanics, the first definitive quantum theory, which it remains within its proper (nonrelativistic) scope. It has, the book also argues, been equally important in quantum field theory, which has been the frontier of quantum theory for quite a while now, and more recently, in quantum information theory, where principle thinking was given new prominence. The approach allows the book to develop a new understanding of both the history and philosophy of quantum theory, from Planck???s quantum to the Higgs boson, and beyond, and of the thinking the key founding figures, such as Einstein, Bohr, Heisenberg, Schr??dinger, and Dirac, as well as some among more recent theorists. The book also extensively considers the nature of quantum probability, and contains a new interpretation of quantum mechanics, ???the statistical Copenhagen interpretation.??? Overall, the book???s argument is guided by what Heisenberg called ???the spirit of Copenhagen,??? which is defined by three great divorces from the preceding foundational thinking in physics???reality from realism, probability from causality, and locality from relativity???and defined the fundamental principles of quantum theory accordingly
ISBN,Price9783319320687
Keyword(s)1. EBOOK 2. EBOOK - SPRINGER 3. History and Philosophical Foundations of Physics 4. Philosophy and science 5. PHILOSOPHY OF SCIENCE 6. PHYSICS 7. PROBABILITIES 8. Probability Theory and Stochastic Processes 9. QUANTUM PHYSICS
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TitleReflected Brownian Motions in the KPZ Universality Class
Author(s)Weiss, Thomas;Ferrari, Patrik;Spohn, Herbert
PublicationCham, Springer International Publishing, 2017.
DescriptionVII, 118 p. 4 illus : online resource
Abstract NoteThis book presents a detailed study of a system of interacting Brownian motions in one dimension. The interaction is point-like such that the n-th Brownian motion is reflected from the Brownian motion with label n-1. This model belongs to the Kardar-Parisi-Zhang (KPZ) universality class. In fact, because of the singular interaction, many universal properties can be established with rigor. They depend on the choice of initial conditions. Discussion addresses packed and periodic initial conditions (Chapter 5), stationary initial conditions (Chapter 6), and mixtures thereof (Chapter 7). The suitably scaled spatial process will be proven to converge to an Airy process in the long time limit. A chapter on determinantal random fields and another one on Airy processes are added to have the notes self-contained. These notes serve as an introduction to the KPZ universality class, illustrating the main concepts by means of a single model only. The notes will be of interest to readers from interacting diffusion processes and non-equilibrium statistical mechanics
ISBN,Price9783319494999
Keyword(s)1. EBOOK 2. EBOOK - SPRINGER 3. MATHEMATICAL PHYSICS 4. PROBABILITIES 5. Probability Theory and Stochastic Processes 6. STATISTICAL PHYSICS 7. Statistical Physics and Dynamical Systems
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TitleIntroduction to Random Matrices : Theory and Practice
Author(s)Livan, Giacomo;Novaes, Marcel;Vivo, Pierpaolo
PublicationCham, Springer International Publishing, 2018.
DescriptionIX, 124 p. 10 illus. in color : online resource
Abstract NoteModern developments of Random Matrix Theory as well as pedagogical approaches to the standard core of the discipline are surprisingly hard to find in a well-organized, readable and user-friendly fashion. This slim and agile book, written in a pedagogical and hands-on style, without sacrificing formal rigor fills this gap. It brings Ph.D. students in Physics, as well as more senior practitioners, through the standard tools and results on random matrices, with an eye on most recent developments that are not usually covered in introductory texts. The focus is mainly on random matrices with real spectrum. The main guiding threads throughout the book are the Gaussian Ensembles. In particular, Wigner???s semicircle law is derived multiple times to illustrate several techniques (e.g., Coulomb gas approach, replica theory). Most chapters are accompanied by Matlab codes (stored in an online repository) to guide readers through the numerical check of most analytical results
ISBN,Price9783319708850
Keyword(s)1. COMPLEX SYSTEMS 2. DYNAMICAL SYSTEMS 3. EBOOK 4. EBOOK - SPRINGER 5. Mathematical Methods in Physics 6. MATHEMATICAL PHYSICS 7. PHYSICS 8. PROBABILITIES 9. Probability Theory and Stochastic Processes 10. STATISTICAL PHYSICS 11. Statistical Physics and Dynamical Systems
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