Mathematical physics

The second edition of this textbook presents the basic mathematical knowledge and skills that are needed for courses on modern theoretical physics, such as those on quantum mechanics, classical and quantum field theory, and related areas.

This book focuses on the new possibilities and approaches to social modeling currently being made possible by an unprecedented variety of datasets generated by our interactions with modern technologies.

This book is one of the first devoted to an account of theories of thermal convection which involve local thermal non-equilibrium effects, including a concentration on microfluidic effects.

This book addresses a fascinating set of questions in theoretical physics which will both entertain and enlighten all students, teachers and researchers and other physics aficionados.

Mathematics has always played a key role for researches in fluid mechanics.

This book is dedicated to the recent developments in RET with the aim to explore polyatomic gas, dense gas and mixture of gases in non-equilibrium.

This book aims to promote the understanding of some of the basic mathematical and scientific issues in the subjects relating to climate dynamics, chaos and quantum mechanics.

This book presents the latest advances in ultrafast science, including both ultrafast optical technology and the study of ultrafast phenomena.

The essays in this book look at way in which the fundaments of physics might need to be changed in order to make progress towards a unified theory.

This book introduces systematically the operator method for the solution of the Schrodinger equation.

The essays in this book look at the question of whether physics can be based on information, or - as John Wheeler phrased it - whether we can get "e;It from Bit"e;.

The book describes the main findings of the EU-funded project IDIHOM (Industrialization of High-Order Methods - A Top-Down Approach).

The book offers a snapshot of the theories and applications of soft computing in the area of complex systems modeling and control.

This book presents the science of tensors in a didactic way.

This textbook is for the standard, one-semester, junior-senior course that often goes by the title "e;Elementary Partial Differential Equations"e; or "e;Boundary Value Problems"e;.

This book addresses the application of methods used in statistical physics to complex systems-from simple phenomenological analogies to more complex aspects, such as correlations, fluctuation-dissipation theorem, the concept of free energy, renormalization group approach and scaling.

This book provides an introduction to dynamical systems with multiple time scales.

This award-winning thesis investigates the mechanisms underlying cardiac arrhythmia development and termination from an entirely new perspective.

This book presents established and new approaches to perform calculations of electrostatic interactions at the nanoscale, with particular focus on molecular biology applications.

The book includes lectures given by the plenary and key speakers at the 9th International ISAAC Congress held 2013 in Krakow, Poland.

Many results, both from semi group theory itself and from the applied sciences, are phrased in discipline-specific languages and hence are hardly known to a broader community.

The book reports on the latest theoretical and experimental advances in the field of active flow and combustion control.

This textbook presents an exposition of stochastic dynamics and irreversibility.

With the unifying theme of abstract evolutionary equations, both linear and nonlinear, in a complex environment, the book presents a multidisciplinary blend of topics, spanning the fields of theoretical and applied functional analysis, partial differential equations, probability theory and numerical analysis applied to various models coming from theoretical physics, biology, engineering and complexity theory.

This book presents the theory of gas discharge plasmas in a didactical way.

This is a short tract on the essentials of differential and symplectic geometry together with a basic introduction to several applications of this rich framework: analytical mechanics, the calculus of variations, conjugate points & Morse index, and other physical topics.

Beginning with an overview of the theory of black holes by the editor, this book presents a collection of ten chapters by leading physicists dealing with the variety of quantum mechanical and quantum gravitational effects pertinent to black holes.

This book explains modern and interesting physics in heavy-fermion (HF) compounds to graduate students and researchers in condensed matter physics.

This book presents the state-of-the-art in supercomputer simulation.

In this introductory text, physics concepts are introduced as a means of understanding experimental observations, not as a sequential list of facts to be memorized.

These lecture notes present a concise and introductory, yet as far as possible coherent, view of the main formalizations of quantum mechanics and of quantum field theories, their interrelations and their theoretical foundations.

The research presented here includes important contributions on the commissioning of the ATLAS experiment and the discovery of the Higgs boson.

This brief offers a concise presentation of granular fluids from the point of view of non-equilibrium statistical physics.

In the last few years modified gravity theories have been proposed as extensions of Einstein's theory of gravity.

Despite its long history and stunning experimental successes, the mathematical foundation of perturbative quantum field theory is still a subject of ongoing research.

The Lie Theory Workshop, founded by Joe Wolf (UC, Berkeley), has been running for over two decades.

The history of public health has focused on direct relationships between problems and solutions: vaccinations against diseases, ad campaigns targeting risky behaviors.

These lecture notes provide a fresh approach to investigating singularly perturbed systems using asymptotic and geometrical techniques.

This book was inspired by the general observation that the great theories of modern physics are based on simple and transparent underlying mathematical structures - a fact not usually emphasized in standard physics textbooks - which makes it easy for mathematicians to understand their basic features.

The work developed in this thesis addresses very important and relevant issues of accretion processes around black holes.

This book features 13 papers presented at the Fifth International Symposium on Recurrence Plots, held August 2013 in Chicago, IL.

Calculus with Vectors grew out of a strong need for a beginning calculus textbook for undergraduates who intend to pursue careers in STEM fields.

This book deals in a basic and systematic manner with the fundamentals of random function theory and looks at some aspects related to arrival, vehicle headway and operational speed processes at the same time.

This book is a survey of the theory of formal deformation quantization of Poisson manifolds, in the formalism developed by Kontsevich.

DNA replication is arguably the most crucial process at work in living cells.

This thesis tackles fundamental questions concerning the discharge of a pre-Pyrenean karst aquifer system and an Antarctic glacier system, utilizing a system engineering methodology and data-driven approach.

Understanding the dynamics of gauge theories is crucial, given the fact that all known interactions are based on the principle of local gauge symmetry.

Unlike many other texts on differential geometry, this textbook also offers interesting applications to geometric mechanics and general relativity.

The purpose of this primer is to provide the basics of the Finite Element Method, primarily illustrated through a classical model problem, linearized elasticity.

This proceedings volume gathers a selection of papers presented at the Fifth International Conference on High Performance Scientific Computing, which took place in Hanoi on March 5-9, 2012.