Mathematical physics

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.

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

An accessible summary of a wide range of active research topics written by leaders in their field, including exciting new results.

An accessible summary of a wide range of active research topics written by leaders in their field, including exciting new results.

Blending control theory, mechanics, geometry and the calculus of variations, this book is a vital resource for graduates and researchers in engineering, mathematics and physics.

Blending control theory, mechanics, geometry and the calculus of variations, this book is a vital resource for graduates and researchers in engineering, mathematics and physics.

A range of experts contribute introductory-level lectures on active topics in the theory of water waves.

A thorough graduate-level introduction to the variational analysis of nonlinear problems described by nonlocal operators.

An essential guide to peturbative quantum field theory and its connection to Grassmannian geometry.

A comprehensive account of new models of extra dimensions which form an important part of present-day high-energy physics.

Reviews our current understanding of the subject.

A comprehensive account of new models of extra dimensions which form an important part of present-day high-energy physics.

An essential guide to peturbative quantum field theory and its connection to Grassmannian geometry.

A thorough graduate-level introduction to the variational analysis of nonlinear problems described by nonlocal operators.

Reviews our current understanding of the subject.

A range of experts contribute introductory-level lectures on active topics in the theory of water waves.

Combines cutting-edge research and expository articles in Hodge theory.

This book illustrates the development of Brownian ratchets, from their foundations to their role in molecular-scale life and in artificial nano-machinery.

This book illustrates the development of Brownian ratchets, from their foundations to their role in molecular-scale life and in artificial nano-machinery.

Combines cutting-edge research and expository articles in Hodge theory.

The first textbook to provide a pedagogical examination of the major algorithms used in quantum Monte Carlo simulations.