Maths for scientists

Discrete Mathematics for Computing presents the essential mathematics needed for the study of computing and information systems.

The first Asian Accelerator School (AAS) was organised to show the rapid development of accelerator sciences based on electron storage rings in Asia.

Systems of strongly correlated electrons are at the heart of recent developments in condensed matter theory.

Fractional calculus is a collection of relatively little-known mathematical results concerning generalizations of differentiation and integration to noninteger orders.

The volume contains twelve papers dealing with the approximation of first and second order problems which arise in many fields of application including optimal control, image processing, geometrical optics and front propagation.

The first fully self-contained introduction to geometric algebra by two leading experts in the field.

This book deals with aspects of thermodynamic restrictions in modern continuum mechanics and with particular problems of the kinetic theory and statistical mechanics.

Expanded coverage of essential math, including integral equations, calculus of variations, tensor analysis, and special integrals Math Refresher for Scientists and Engineers, Third Edition is specifically designed as a self-study guide to help busy professionals and students in science and engineering quickly refresh and improve the math skills needed to perform their jobs and advance their careers.

This book, intended for students, researchers and engineers, is a collection of classic papers on photorefractive nonlinear optics.

An understanding of the theory and application of logic is fundamental both to successful software and hardware development, and to gain a thorough grasp of modern computing.

This book deals with recent topics in the field of ion beam cooling.

By using the U-transformation method, it is possible to uncouple linear simultaneous equations, either algebraic or differential, with cyclic periodicity.

The areas covered in this volume include: duality in string theory and supersymmetric gauge theories; phenomenological applications of string theory; strings in curved spacetime; quantum gravity; SUSY conformal field theories; QCD strings; aspects of mathematical physics, including: mirror symmetry, W-algebras, representation theory.

Inverse problems are an important and rapidly developing direction in mathematics, mathematical physics, differential equations, and various applied technologies (geophysics, optic, tomography, remote sensing, radar-location, etc.

Beginning with a review of the important areas of mathematics, this book then covers many of the underlying theoretical and practical aspects of NMR and MRI spectroscopy from a maths point of view.

Cosmology has undergone a revolution in recent years.

This book incorporates 3 modern aspects of mathematical physics: the jet methods in differential geometry, Lagrangian formalism on jet manifolds and the multimomentum approach to Hamiltonian formalism.

Covers multivariable calculus, starting from the basics and leading up to the three theorems of Green, Gauss, and Stokes, but always with an eye on practical applications.

This book offers a concise and up-to-date introduction to the popular field of quantum information.

During the last ten years, remarkable progress has occurred in the study of molecular evolution.

Nonlinear elliptic problems play an increasingly important role in mathematics, science and engineering, creating an exciting interplay between the subjects.

This series of lectures aims to address three main questions that anyone interested in the study of nonlinear dynamics should ask and ponder over.

These proceedings focus on future prospects as well as on the present status in some important areas of applied probability and mathematical biology.

The mathematical methods that physical scientists need for solving problems are clearly set out in this tutorial-style textbook.

An informal and practically focused introduction for undergraduate students exploring infinite series and sequences in engineering and the physical sciences.

Step-by-step solutions to the odd-numbered problems in Essential Mathematical Methods for the Physical Sciences.

The intellectual center of this proceedings volume is the subject of conservation laws.

Originally invented for generating the first artificial nuclear reactions, particle accelerators have undergone, during the past 80 years, a fascinating development that is an impressive example of the inventiveness and perseverance of scientists and engineers.

This book teaches powerful methods to test hypotheses using statistical arguments without the constraints and sophisticated mathematics of classical statistics.

This textbook, first published in 2004, provides an introduction to the major mathematical structures used in physics today.

A uniquely accessible introduction to abstract mathematics and category theory written by popular science author of How to Bake Pi.

Superstring theory and its successor, M-theory, hold promises of a deeper understanding of the Standard Model of particle physics, the unification of the four fundamental forces, the quantum theory of gravity, the mysteries of quantum black holes, Big Bang cosmology and, ultimately, their complete synthesis in a final theory of physics.

This book offers a comprehensive overview of the models and methods employed in the rapidly advancing field of numerical ocean circulation modeling.

Based on and enriched by the long-term teaching experience of the authors, this volume covers the major themes of mathematics in engineering and technical specialties.

This book offers comprehensive coverage of all the mathematical tools needed by engineers in the field of processing and transport of all forms of information, data and images - as well as many other engineering disciplines.

A modern, comprehensive 2010 overview providing an easy introduction for applied scientists who are not versed in mathematics.

This book captures the essence of the current state of research in wavelet analysis and its applications, and identifies the changes and opportunities - both current and future - in the field.

The book comprises a broad panorama of phenomena occurring in four major classes of radiophysical and mechanical systems - linear, nonlinear, parametric, and nonlinear-parametric.

The contents of this volume consist of 15 lectures on mathematics and its applications which include the following topics: dynamics of neural network, phase transition of cellular automata, homoclinic bifurcations, ergodic theories of low dimensional dynamical systems, Anosov endomorphisms and Anosov flows, axiom A systems, complex dynamical systems, multi-dimensional holomorphic dynamical systems and holomorphic vector fields.

This book is devoted to the frequency domain approach, for both regular and degenerate Hopf bifurcation analyses.

This unique volume presents reviews of research in several important areas of applications of mathematical concepts to science and technology, for example applications of inverse problems and wavelets to real world systems.

Gregory''s Classical Mechanics is a major new textbook for undergraduate students in mathematics and physics.

The interplay between computability and randomness has been an active area of research in recent years, reflected by ample funding in the USA, numerous workshops, and publications on the subject.