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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 Sheldon M. Ross Introduction to probability models 026874 2019 Book  
7 Simon Vaughan Scientific Inference: Learning from Data 026822 2014 Book  
8 Douglas G. Martinson Quantitative methods of data analysis for the physical sciences and engineering 026494 2018 Book  
9 Hiroshi Sugita Probability and random number: A First Guide to Randomness 026255 2014 Book  
10 A. M. Yaglom Challenging mathematical problems with elementary solutions Vol.1: Combinatorial Analysis and Probability Theory 026030 1964 Book  
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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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I11665     On Shelf    

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TitleIntroduction to probability models
Author(s)Sheldon M. Ross
Edition12th ed.
PublicationLondon, Academic press, 2019.
Descriptionxv, 826p.
ISBN,Price9780128143469 : $ 107.00(HB)
Classification519.21
Keyword(s)1. ELEMENTARY PROBABILITY MODELLING 2. PROBABILITY THEORY 3. STOCHASTIC PROCESSES
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026874   519.21/ROSS/026874  On Shelf    

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TitleScientific Inference: Learning from Data
Author(s)Simon Vaughan
PublicationCambridge, Cambridge University Press, 2014.
Descriptionxiv, 224p.
Abstract NoteProviding the knowledge and practical experience to begin analysing scientific data, this book is ideal for physical sciences students wishing to improve their data handling skills. The book focuses on explaining and developing the practice and understanding of basic statistical analysis, concentrating on a few core ideas, such as the visual display of information, modelling using the likelihood function, and simulating random data. Key concepts are developed through a combination of graphical explanations, worked examples, example computer code and case studies using real data. Students will develop an understanding of the ideas behind statistical methods and gain experience in applying them in practice.
ISBN,Price9781107607590 : US $30.99(PB)
Classification519.23
Keyword(s)1. PROBABILITY THEORY 2. SCIENTIFIC INFERENCE 3. STATISTICAL ANALYSIS
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026822   519.23/VAU/026822  Issued KS13: Saikruba Krishnan 09/Nov/2024

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TitleQuantitative methods of data analysis for the physical sciences and engineering
Author(s)Douglas G. Martinson
PublicationCambridge, Cambridge University Press, 2018.
Descriptionxiv,614p.
Abstract NoteThis book provides thorough and comprehensive coverage of most of the new and important quantitative methods of data analysis for graduate students and practitioners. In recent years, data analysis methods have exploded alongside advanced computing power, and it is critical to understand such methods to get the most out of data, and to extract signal from noise. The book excels in explaining difficult concepts through simple explanations and detailed explanatory illustrations. Most unique is the focus on confidence limits for power spectra and their proper interpretation, something rare or completely missing in other books. Likewise, there is a thorough discussion of how to assess uncertainty via use of Expectancy, and the easy to apply and understand Bootstrap method. The book is written so that descriptions of each method are as self-contained as possible. Many examples are presented to clarify interpretations, as are user tips in highlighted boxes.
ISBN,Price9781107029767 : £ 49.99(HB)
Classification519.22/.25
Keyword(s)1. DATA ANALYSIS 2. PROBABILITY THEORY 3. SEQUENTIAL DATA ANALYSIS 4. STATISTICS
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026494   519.22/.25/MAR/026949  On Shelf    

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TitleProbability and random number: A First Guide to Randomness
Author(s)Hiroshi Sugita
PublicationSingapore, World Scientific, 2014.
Descriptionxi, 125p
Abstract NoteThis is a book of elementary probability theory that includes a chapter on algorithmic randomness. It rigorously presents definitions and theorems in computation theory, and explains the meanings of the theorems by comparing them with mechanisms of the computer, which is very effective in the current computer age. Random number topics have not been treated by any books on probability theory, only some books on computation theory. However, the notion of random number is necessary for understanding the essential relation between probability and randomness. The field of probability has changed very much, thus this book will make and leave a big impact even to expert probabilists. Readers from applied sciences will benefit from this book because it presents a very proper foundation of the Monte Carlo method with practical solutions, keeping the technical level no higher than 1st year university calculus.
ISBN,Price9789813228252 : 48.00
Classification519.21
Keyword(s)1. COMPUTATION THEORY 2. MONTE CARLO METHODS 3. PROBABILITY THEORY 4. RANDOM NUMBERS 5. RANDOMNESS
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026255   519.21/SUG/026255  On Shelf    

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TitleChallenging mathematical problems with elementary solutions Vol.1: Combinatorial Analysis and Probability Theory
Author(s)A. M. Yaglom;I. M. Yaglom;James McCawley (tr.);Basil Gordon (ed.)
PublicationNew York, Dover Publications, Inc., 1964.
Descriptionviii, 231p.
Abstract NoteVolume One contains 100 problems, with detailed solutions, all dealing with probability theory and combinatorial analysis. Topics include the representation of integers as sums and products, combinatorial problems on the chessboard, geometric problems on combinatorial analysis, problems on the binomial coefficients, problems on computing probabilities, experiments with infinitely many possible outcomes, and experiments with a continuum of possible outcomes.
ISBN,Price9780486655369 : US $14.65(PB)
Classification51(076.2)
Keyword(s)1. BINOMIAL COEFFICIENTS 2. COMBINATORIAL ANALYSIS 3. PROBABILITY THEORY
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Accession#  Call#StatusIssued ToReturn Due On Physical Location
026030   51(076.2)/YAG/026030  On Shelf    

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