Best Physics of Entropy Books of 2025

Statistical Rethinking: A Bayesian Course with Examples in R and Stan is a comprehensive guide for making inferences from data. It presents causal inference and generalized linear multilevel models from a simple Bayesian perspective that builds on information theory and maximum entropy. The book emphasizes understanding assumptions and how assumptions are reflected in code and integrates working code into the main text. The second edition contains new material on the design of prior distributions, splines, ordered categorical predictors, social relations models, cross-validation, importance sampling, instrumental variables, and Hamiltonian Monte Carlo. Overall, this book is an excellent resource for those interested in model-based statistics and Bayesian inference.

The Mathematical Theory of Communication is a groundbreaking work that unifies physical science branches and suggests how to extend that unity to include semantics and pragmatics. Written by Claude E. Shannon and Warren Weaver, this book has had a lasting impact and played an essential role in our modern world. The commemorative reprinting of this classic book by University of Illinois Press is a beautiful example of a theory that is still contemporary and valuable for anyone with direct professional concern with these applications. This book is highly recommended for readers interested in language, communication, meaning, and related problems.

One Two Three . . . Infinity by George Gamow is a fascinating and entertaining book that takes readers on a journey through various scientific topics. From the theory of numbers to the origin of the solar system, Gamow presents complex concepts in a way that is accessible to the general reader. The book is filled with amusing anecdotes and thought-provoking puzzles, making it a delightful read for anyone interested in science. The pen-and-ink illustrations by the author add a charming dimension to the book. Overall, One Two Three . . . Infinity is a highbrow entertainment that challenges readers to think about the universe in a new way.

Exiled Fleet (The Divide Series, 2) is a thrilling science fiction adventure novel by J.S. Dewes. The story follows the survivors of The Last Watch, who are stranded at the edge of the universe and must gather the resources to escape before they starve. To do so, they need to form new alliances and evade their ruthless enemies. Dewes's writing style is crisp and vivid, and her well-drawn characters are put in impossible situations that keep the readers on edge. Overall, Exiled Fleet is an excellent addition to the series, and fans of science fiction adventures will not be disappointed.

How holographic patterns of information underlie our physical reality. • 2017 Nautilus Silver Award. • Includes myriad evidence from a wide range of cutting-edge scientific discoveries showing our Universe is an interconnected hologram of information. • Explains how consciousness is a major component of the cosmic hologram of information, making us both manifestations and co-creators of our reality. • Reconciles Quantum Mechanics and Einstein’s Theory of Relativity by showing that energy-matter and space-time are complementary expressions of information. Our understanding of the Universe is about to transform at all levels, from the tiniest Planck scale to the vast reaches of space. Recent scientific discoveries show that the information that upholds all of our modern technologies is exactly the same as the universal in-formation that underpins, pervades, and is all we call physical reality.. Exploring how information is more fundamental than energy, matter, space, or time, Jude Currivan, Ph.D., examines the latest research across many fields of study and many scales of existence to show how our Universe is in-formed and holographically manifested. She explains how the fractal in-formational patterns that guide behavior at the atomic level also guide the structure of galactic clusters in space. She demonstrates how the in-formational relationships that underlie earthquakes are the same as those that play out during human conflicts. She shows how cities grow in the same in-formational ways that galaxies evolve and how the dynamic in-formational forms that pervade ecosystems are identical to the informational structures of the Internet and our social behaviors. Demonstrating how information is physically real, the author explores how consciousness connects us to the many interconnected layers of universal in-formation, making us both manifestations and co-creators of the cosmic hologram of reality. She explains how Quantum Mechanics and Einstein’s Theory of Relativity can at last be reconciled if we consider energy-matter and space-time as complementary expressions of information, and she explores how the cosmic hologram underlies the true origin of species and our own evolution.. Concurring too with ancient spiritual wisdom, the author offers solid evidence that consciousness is not something we “have” but the fundamental nature of what we and the entire Universe are. With this understanding, we can each transform our own lives and help co-create and in-form the world around us.

The Foundations of Machine Learning, second edition, is a comprehensive graduate-level textbook that provides a theoretical basis and conceptual tools for the analysis and justification of machine learning algorithms. The book covers a range of modern machine learning topics, including support vector machines, on-line learning, and reinforcement learning. The authors present novel theoretical tools and concepts while providing concise proofs for advanced topics. The second edition includes new chapters on model selection, maximum entropy models, and conditional entropy models, making it an even more valuable resource for researchers and graduate students in the field.

This book, "Numerical Methods for Eulerian and Lagrangian Conservation Laws," is an excellent resource for students and researchers interested in Lagrangian-based computational fluid dynamics. The book focuses on the interplay between Eulerian and Lagrangian conservation laws for systems originating from continuum mechanics. The text is well-written and easy to digest, with numerous illustrations demonstrating the efficiency of the numerical methods. The book is strongly recommended to mathematically inclined CFD practitioners and as illuminating supplementary material for students learning the numerical analysis and foundations of hyperbolic conservation laws.

The Story of Gaia offers a fascinating exploration of the Universe, our planet, and ourselves, revealing that everything in existence has inherent meaning and evolutionary purpose. The author, Jude Currivan, Ph.D., challenges traditional views of evolution, showing how it is not driven by random occurrences and mutations but by intelligently informed and meaningful information flows and processes. This book is a must-read for anyone interested in personal transformation and self-help books, as it offers a unique perspective on the conscious evolution of humanity as an integral part of Gaia’s own evolutionary progress and purpose.

Molecular Driving Forces, Second Edition is an accessible textbook that illuminates underlying principles and concepts of statistical thermodynamics in biology, chemistry, physics, and nanoscience. The book describes how complex behaviors of molecules can result from simple physical processes and how simple models provide surprisingly accurate insights into the workings of the molecular world. The two new chapters and practical applications, examples, and end-of-chapter questions integrated throughout the revised and updated text make it an excellent introduction to the subject for novices while remaining a valuable resource for experts. Overall, it is a well-written and informative book for anyone interested in the molecular world.

The Art of Probability: For Scientists and Engineers by Richard W. Hamming is an excellent introduction to probability theories. Hamming's clear and comprehensive coverage of the topic includes philosophical assumptions, stochastic methods, and Shannon entropy. The book is filled with unique insights and tricks worth knowing, making it one of the best probability and statistics books available. The author's writing style is accessible and nuanced, making it easy for readers to follow and understand. Overall, The Art of Probability is a must-read for anyone interested in probability and statistics.