Mathematical Physics 1

The goal of this third edition of ***Nonlinear Dynamics and Chaos: With Applications to Physics, Biology, Chemistry, and Engineering***is the same as previous editions: to provide a good foundation ……続きを見る

This book offers a systematic introduction to the Hopf algebra of renormalization in quantum field theory, with a special focus on physical motivation, the role of Dyson–Schwinger equations, and the……続きを見る

Available for the first time in paperback, The Quantum Theory of Fields is a self-contained, comprehensive, and up-to-date introduction to quantum field theory from Nobel Laureate Steven Weinberg. V……続きを見る

Steven Weinberg shares his candid thoughts, in his own words, on theoretical physics and cosmology, along with personal anecdotes and recollections of the people who helped shape his career. These m……続きを見る

What if the universe could be explained by a few elegant laws? In The System of the World, Isaac Newton presents a clear and powerful vision of how the cosmos worksーrevealing the principles behind ……続きを見る

What if the entire universeーits motions, its forces, its mysteriesーcould be explained through a single brilliant mind? 〓 In The System of the World, Isaac Newton completes the breathtaking trilog……続きを見る

This book is a pedagogical introduction to quantum field theory, suitable for a students’ first exposure to the subject. It assumes a minimal amount of technical background and it is intended to be ……続きを見る

This book is a hands-on tutorial for using Quantum ESPRESSO, which is an open software of first-principles calculation for the electronic structure of materials. When we design a new material, the e……続きを見る

〓 What if the secrets of the cosmos could be explained by a single mind? In The System of the World, Isaac Newtonーone of history's greatest scientific geniusesーoffers the concluding volume of his……続きを見る

The Quantum Theory of Fields, first published in 1996, is a self-contained, comprehensive introduction to quantum field theory from Nobel Laureate Steven Weinberg. Volume II gives an account of the ……続きを見る

In this third volume of The Quantum Theory of Fields, available for the first time in paperback, Nobel Laureate Steven Weinberg continues his masterly exposition of quantum field theory. This volume……続きを見る

This book provides an introduction to noncommutative geometry and presents a number of its recent applications to particle physics. In the first part, we introduce the main concepts and techniques b……続きを見る

This open access book explains geometric quantization from a physicist’s perspective. After presenting the general formalism, it delves into several examples reflecting current research interests in……続きを見る

This open access book introduces readers to the physics of particle accelerators, by means of beam dynamics simulations and exercises using the computer code ZGOUBI. The respective chapters are orga……続きを見る

This is a concise reference book on analysis and mathematical physics, leading readers from a foundation to advanced level understanding of the topic. This is the perfect text for graduate or PhD ma……続きを見る

The third edition of this highly acclaimed undergraduate textbook is suitable for teaching all the mathematics for an undergraduate course in any of the physical sciences. As well as lucid descripti……続きを見る

Providing a comprehensive introduction to quantum field theory, this textbook covers the development of particle physics from its foundations to the discovery of the Higgs boson. Its combination of ……続きを見る

This course-based open access textbook delves into percolation theory, examining the physical properties of random mediaーmaterials characterized by varying sizes of holes and pores. The focus is on……続きを見る

This open access book focuses on the Ginibre ensembles that are non-Hermitian random matrices proposed by Ginibre in 1965. Since that time, they have enjoyed prominence within random matrix theory, ……続きを見る

This open access book is about spontaneous symmetry breaking, which is a classic area of theoretical physics that lies at the core of many fascinating phenomena such as ferromagnetism, superfluidity……続きを見る

This open access book presents a comprehensive exploration of diffusion metamaterials that control energy and mass diffusion. Currently, if from the perspective of governing equations, diffusion met……続きを見る

This open access book bridges a gap between introductory Quantum Field Theory (QFT) courses and state-of-the-art research in scattering amplitudes. It covers the path from basic definitions of QFT t……続きを見る

Graduate students seeking to become familiar with advanced computational strategies in classical and quantum dynamics will find in this book both the fundamentals of a standard course and a detailed……続きを見る

This Open Access book reviews recent theoretical and numerical developments in nonlinear model order reduction in continuum mechanics, being addressed to Master and PhD students, as well as to resea……続きを見る

This open access book introduces the fundamentals of the space–time conservation element and solution element (CESE) method, which is a novel numerical approach for solving equations of physical con……続きを見る

This open access book celebrates the contribution of Bruno Touschek to theoretical physics and particle colliders in Europe. It contains direct testimonials from his former students, collaborators, ……続きを見る

In this "provocative" book (New York Times), a contrarian physicist argues that her field's modern obsession with beauty has given us wonderful math but bad science. Whether pondering black holes or……続きを見る

This is one of the first books on a newly emerging field of discrete differential geometry and an excellent way to access this exciting area. It surveys the fascinating connections between discrete ……続きを見る

This book introduces foundational topics such as group theory, fields, linear algebra, matrix theory, and graph theory, providing readers with the essential background needed to understand Feynman d……続きを見る

In recent years, there has been an increased interest in exploring the connections between various disciplines of mathematics and theoretical physics such as representation theory, algebraic geometr……続きを見る