Mathematical physics

Introductory Analysis: An Inquiry Approach aims to provide a self-contained, inquiry-oriented approach to undergraduate-level real analysis.

This book provides self-contained proofs of the existence of ground states of several interaction models in quantum field theory.

This book is intended to review some recent developments in quantum field theories and integrable models.

With Python, C++, FORTRAN, and a friendly conversational tone peppered with attempted humor, Modeling and Simulation of Everyday Things takes us on a journey through constructing models and simulations of systems and processes in everyday life and beyond.

Differential geometry and topology have become essential tools for many theoretical physicists.

This book collects a selection of papers presented at ELECTRIMACS, 2022 the14th international conference of the IMACS TC1 Committee, held in Nancy, France, on 17st-21rd May 2022.

The Routledge Companion to Philosophy of Physics is a comprehensive and authoritative guide to the state of the art in the philosophy of physics.

The Routledge Companion to Philosophy of Physics is a comprehensive and authoritative guide to the state of the art in the philosophy of physics.

This book provides an accessible introduction to using the tools of differential geometry to tackle a wide range of topics in physics, with the concepts developed through numerous examples to help the reader become familiar with the techniques.

An innovative integrated approach to classical physics and the beginnings of quantum physics through a sequence of historical case studies.

This book offers a comprehensive discussion of developments at the interface of particle physics, supergravity, and cosmology, for graduates and researchers.

This book offers a comprehensive discussion of developments at the interface of particle physics, supergravity, and cosmology, for graduates and researchers.

A selection of survey articles and original research papers in mathematical fluid mechanics, for both researchers and graduate students.

An introduction to integrable and non-integrable scalar field models, with topological and non-topological soliton solutions.

Presents the key features of general relativity to help students understand its core ideas and the basics of differential geometry.

Presents the key features of general relativity to help students understand its core ideas and the basics of differential geometry.

Comprehensive textbook prioritising physical ideas over mathematical detail.

Comprehensive textbook prioritising physical ideas over mathematical detail.

A comprehensive textbook covering the applications of string theory methods and the mathematics of AdS/CFT to areas of condensed matter physics.

This book presents recent advances in branching Brownian motion from the perspective of extreme value theory and statistical physics, for graduates.

This book presents recent advances in branching Brownian motion from the perspective of extreme value theory and statistical physics, for graduates.

This book offers a unified perspective on the study of complex systems, with contributions written by leading scientists from various disciplines.

This book offers a unified perspective on the study of complex systems, with contributions written by leading scientists from various disciplines.

A comprehensive textbook covering the applications of string theory methods and the mathematics of AdS/CFT to areas of condensed matter physics.

An accessible introduction to coalgebra, with clear mathematical explanations and numerous examples and exercises.

An accessible introduction to coalgebra, with clear mathematical explanations and numerous examples and exercises.

An introduction to the modern representation theory of big groups, exploring its connections to probability and algebraic combinatorics.

An introduction to the modern representation theory of big groups, exploring its connections to probability and algebraic combinatorics.

Simple enough for detailed study, rich enough to show interesting behavior, K3 surfaces illuminate core methods in algebraic geometry.

Simple enough for detailed study, rich enough to show interesting behavior, K3 surfaces illuminate core methods in algebraic geometry.

This book provides a comprehensive understanding of the nucleation, motion, and interaction between crystalline defects called dislocations.

This book provides a comprehensive understanding of the nucleation, motion, and interaction between crystalline defects called dislocations.

This first volume develops factorization algebras with a focus upon examples exhibiting their use in field theory, which will be useful for researchers and graduates.

This first volume develops factorization algebras with a focus upon examples exhibiting their use in field theory, which will be useful for researchers and graduates.

The first graduate-level treatment of computable analysis within the tradition of classical mathematical reasoning.

Introduces nonlinear dispersive partial differential equations in a detailed yet elementary way without compromising the depth and richness of the subject.

Introduces nonlinear dispersive partial differential equations in a detailed yet elementary way without compromising the depth and richness of the subject.

A systematic and self-contained account, which adopts a geometric approach to study the solutions of Einstein''s theory of gravity.

A systematic and self-contained account, which adopts a geometric approach to study the solutions of Einstein''s theory of gravity.

This book focuses on applications of martingales to the geometry of Banach spaces, and is accessible to graduate students.

Forming the basis of a second course in algebraic geometry, this book explains key ideas, each illustrated with abundant examples.

This book presents some exceptional developments in chaotic attractor theory encompassing several new directions of research such as three-dimensional axiom A-diffeomorphisms, Shilnikov attractors, dendrites and finite graphs.

This book focuses on applications of martingales to the geometry of Banach spaces, and is accessible to graduate students.

Forming the basis of a second course in algebraic geometry, this book explains key ideas, each illustrated with abundant examples.

This book provides an introduction to quantum probability, focusing on the notion of independence in quantum probability.

This textbook combines rigorous mathematical analysis with combustion science to address standard problems in reactive fluid mechanics.

This textbook combines rigorous mathematical analysis with combustion science to address standard problems in reactive fluid mechanics.

This book outlines the computational fluid dynamics evolution and gives an overview of the methods available to the engineer.

This book outlines the computational fluid dynamics evolution and gives an overview of the methods available to the engineer.

Presents the fundamentals of gas dynamics for graduate students and researchers in the subject.