Maths for scientists

Many books have been written about the finite element method; little however has been written about procedures that assist a practicing engineer in undertaking an analysis in such a way that errors and uncertainties can be controlled.

Sensitivity analysis should be considered a pre-requisite for statistical model building in any scientific discipline where modelling takes place.

The present book, Chaos and Fractals in Engineering, is written for all engineers and experts or graduate students or beginners working in the application fields, and for experimental scientists in general.

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

This book addresses the difficulties experienced by wet lab researchers with the statistical analysis of molecular biology related data.

Historically, science has developed by reducing complex situations to simple ones, analyzing the components and synthesizing the original situation.

This third book in a suite of four practical guides is an engineer's companion to using numerical methods for the solution of complex mathematical problems.

Technical problems often lead to differential equations with piecewise-smooth right-hand sides.

Fractal sets serve as excellent models in Physics, Chemistry, Biology and other fields.

This monograph deals with linear integra Volterra equations of the first kind with variable upper and lower limits of integration.

A standalone text on computational physics combining idiomatic Python, foundational numerical methods, and physics applications.

This book constitutes a comprehensive survey of the balance equations for mass, momentum and energy for the interfaces in pure fluids and mixtures.

This book provides a comprehensive introduction to multiple-point geostatistics, where spatial continuity is described using training images.

Essential Statistics for the Pharmaceutical Sciences is targeted at all those involved in research in pharmacology, pharmacy or other areas of pharmaceutical science; everybody from undergraduate project students to experienced researchers should find the material they need.

This book introduces a comprehensive mathematical formulation of the three-dimensional ocean acoustic propagation problem by means of functional and operator splitting techniques in conjunction with rational function approximations.

This tutorial-style textbook develops the basic mathematical tools needed by undergraduates to solve problems in the physical sciences.

The Manchester Physics Series General Editors: D.

This volume constitutes the proceedings of a workshop whose main purpose was to exchange information on current topics in complex analysis, differential geometry, mathematical physics and applications, and to group aspects of new mathematics.

The need to understand, interpret and analyse competing risk data is key to many areas of science, particularly medical research.

This book is a collection of a series of lectures given by Prof.

The topics discussed in this volume are: Symmetry and Foundations in Classical and Quantum Mechanics; Geometry, Topology and Quantum Field Theory; Quantum Groups and Infinite-Dimensional Lie Algebras; Algebraic Approach to Nuclear Structure; Integrable Statistical Systems and Theory of Critical Phenomena Supersymmetry; Atomic and Molecular Physics; Condensed Matter Physics; Other Applications of Group Theory to Physics.

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

This book introduces the major concepts of probability and statistics, along with the necessary computational tools, for undergraduates and graduate students.

Introduces basic concepts in probability and statistics to data science students, as well as engineers and scientists Aimed at undergraduate/graduate-level engineering and natural science students, this timely, fully updated edition of a popular book on statistics and probability shows how real-world problems can be solved using statistical concepts.

In this book the author has tried to apply "e;a little imagination and thinking"e; to modelling dynamical phenomena from a classical atomic and molecular point of view.

This volume covers the recent developments of the exact solvable models, Yangian symmetry, the long-ranged interaction models and high-dimensional integrable systems.

Interest in microarrays has increased considerably in the last ten years.

An up-to-date, one-stop reference-complete with applications This volume presents the most up-to-date information available on aposteriori error estimation for finite element approximation inmechanics and mathematics.

MATHEMATICAL ECOLOGY Population ecologists study how births and deaths affect the dynamics of populations and communities, while ecosystem ecologists study how species control the flux of energy and materials through food webs and ecosystems.

A concise, engagingly written introduction to understanding statistics as they apply to medicine and the life sciencesDon't be afraid of biostatistics anymore!

This Element solves the problem of modal truthmaking for mathematical anti-realists by providing a novel view of modal truth.

Many branches of science and engineering involve applications of mathematical analysis.

This volume contains the proceedings of the conference on 'Exactly Soluble Models in Statistical Mechanics: Historical Perspectives and Current Status', held at Northeastern University in March 1996 - the first ever conference to deal exclusively with this topic.

This book describes and evaluates a range of numerical methods with an emphasis on problem solving.

In this book, experts in different fields of mathematics, physics, chemistry and biology present unique forms of knots which satisfy certain preassigned criteria relevant to a given field.

This important book explains how the technique of Witten Laplacians may be useful in statistical mechanics.

The plain language style, worked examples and exercises in this book help students to understand the foundations of computational physics and engineering.

This book deals with a series of topics on the cutting edge of nonlinear science, striking a balance between theory and experiment.

The exact solution of C N Yang's one-dimensional many-body problem with repulsive delta-function interactions and R J Baxter's eight-vertex statistical model are brilliant achievements in many-body statistical physics.

Specialist Periodical Reports provide systematic and detailed review coverage of progress in the major areas of chemical research.

Every reader will find something of interest in this book - from superdiffusion of the ocean surface to fetal heartbeats, from solar wind to the wearing-out of tools, from radioactive contamination to texture analysis, from image rendering to neural developments.

Clear and engaging introduction for graduate students in engineering and the physical sciences to essential topics of applied mathematics.