Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

Computational Geosciences with Mathematica is the only book written by a geologist specifically to show geologists and geoscientists how to use Mathematica to formulate and solve problems. It spans a broad range of geologic and mathematical topics, which are drawn from the author's extensive experience in research, consulting, and teaching. The reference and text leads readers step-by-step through geologic applications such as custom graphics programming, data input and output, linear and differential equations, linear and nonlinear regression, Monte Carlo simulation, time series and image analysis, and the visualization and analysis of geologic surfaces. It is packed with actual Mathematica output and includes boxed Computer Notes with tips and exploration suggestions. The accompanying CD-ROM contains notebooks of all text and graphics, plus an appendix on color graphics and specialised functions.

Earth sciences --- Geografie --- Data processing. --- Mathematics. --- Geografische Informatie Systemen --- Modelleren. --- Mathematica (Computer file). --- Earth sciences. --- Applied mathematics. --- Engineering mathematics. --- Economic geology. --- Geophysics. --- Mineralogy. --- Earth Sciences, general. --- Mathematical and Computational Engineering. --- Applications of Mathematics. --- Economic Geology. --- Geophysics/Geodesy. --- Physical geology --- Crystallography --- Minerals --- Geological physics --- Terrestrial physics --- Physics --- Economic geology --- Mines and mineral resources --- Engineering --- Engineering analysis --- Mathematical analysis --- Geosciences --- Environmental sciences --- Physical sciences --- Mathematics

Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

In contrast to other books devoted to the averaging method and the method of integral manifolds, in the present book we study oscillation systems with many varying frequencies. In the process of evolution, systems of this type can pass from one resonance state into another. This fact considerably complicates the investigation of nonlinear oscillations. In the present monograph, a new approach based on exact uniform estimates of oscillation integrals is proposed. On the basis of this approach, numerous completely new results on the justification of the averaging method and its applications are obtained and the integral manifolds of resonance oscillation systems are studied. This book is intended for a wide circle of research workers, experts, and engineers interested in oscillation processes, as well as for students and post-graduate students specialized in ordinary differential equations.

Nonlinear oscillations. --- Differential Equations. --- Differential equations, partial. --- Fourier analysis. --- Functional analysis. --- Mathematics. --- Ordinary Differential Equations. --- Partial Differential Equations. --- Fourier Analysis. --- Functional Analysis. --- Applications of Mathematics. --- Differential equations. --- Partial differential equations. --- Applied mathematics. --- Engineering mathematics. --- Engineering --- Engineering analysis --- Mathematical analysis --- Functional calculus --- Calculus of variations --- Functional equations --- Integral equations --- Analysis, Fourier --- Partial differential equations --- 517.91 Differential equations --- Differential equations --- Mathematics --- Nonlinear theories --- Oscillations

Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

Geometry. --- Mathematics. --- Functional analysis. --- Global analysis (Mathematics). --- Differential equations, partial. --- Functional Analysis. --- Analysis. --- Partial Differential Equations. --- Applications of Mathematics. --- Mathematical analysis. --- Analysis (Mathematics). --- Partial differential equations. --- Applied mathematics. --- Engineering mathematics. --- Engineering --- Engineering analysis --- Mathematical analysis --- Partial differential equations --- 517.1 Mathematical analysis --- Functional calculus --- Calculus of variations --- Functional equations --- Integral equations --- Mathematics --- Euclid's Elements

Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

Partial differential equations (PDEs) are fundamental to the modeling of natural phenomena, arising in every field of science. Consequently, the desire to understand the solutions of these equations has always had a prominent place in the efforts of mathematicians; it has inspired such diverse fields as complex function theory, functional analysis, and algebraic topology. Like algebra, topology, and rational mechanics, PDEs are a core area of mathematics. This book aims to provide the background necessary to initiate work on a Ph.D. thesis in PDEs for beginning graduate students. Prerequisites include a truly advanced calculus course and basic complex variables. Lebesgue integration is needed only in chapter 10, and the necessary tools from functional analysis are developed within the coarse. The book can be used to teach a variety of different courses. This new edition features new problems throughout, and the problems have been rearranged in each section from simplest to most difficult. New examples have also been added. The material on Sobolev spaces has been rearranged and expanded. A new section on nonlinear variational problems with "Young-measure" solutions appears. The reference section has also been expanded.

Partial differential equations --- Differential equations, Partial. --- Equations aux dérivées partielles --- Differential equations, Partial --- Mathematics --- Physical Sciences & Mathematics --- Calculus --- 517.95 --- 517.95 Partial differential equations --- Mathematics. --- Partial differential equations. --- Applied mathematics. --- Engineering mathematics. --- Physics. --- Partial Differential Equations. --- Applications of Mathematics. --- Mathematical Methods in Physics. --- Appl.Mathematics/Computational Methods of Engineering. --- Differential equations, partial. --- Mathematical physics. --- Mathematical and Computational Engineering. --- Natural philosophy --- Philosophy, Natural --- Physical sciences --- Dynamics --- Engineering --- Engineering analysis --- Mathematical analysis --- Differential equations. --- Differential Equations. --- Mathematical and Computational Engineering Applications. --- Data processing.

Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

Although finite element courses have become more popular in the undergraduate and graduate engineering, science, and applied mathematics curricula, there are very few introductory textbooks geared toward students accustomed to using computers for everyday assignments and research. 'An Introduction to Linear and Nonlinear Finite Element Analysis' fills this gap, offering a concise, integrated presentation of methods, applications, computational software tools, and hands-on programming projects. Suitable for junior/senior undergraduate and first-year graduate courses, the book is aimed at students from a variety of disciplines: engineering, physics, geophysics, and applied mathematics. Unlike existing texts designed with specific applications to a particular field of mechanical, civil, or chemical engineering, the emphasis here is on interdisciplinary applications. One- and two-dimensional linear and nonlinear initial/boundary value problems are solved using finite element, Newton's, and conjugate gradient methods. Mathematical theory is kept to a minimum, making the text accessible to students with varied backgrounds. Features: * Software tools using Mathematica, Matlab, Fortran, and commercial finite element codes, such as Ansys, integrated throughout the text * Numerous examples and exercises with diverse applications to linear and nonlinear heat transfer, fluid flows, mechanical vibrations, electromagnetics, and structures * Supporting material and selected solutions to problems available at the authors' websites: http://www.math.uno.edu/fac/pkythe.html and http://www.math.uno.edu/fac/dwei.html * Minimal prerequisites: a course in calculus of several variables, differential equations and linear algebra, as well as some knowledge of computers Primarily a classroom resource, the book may also be used as a self-study reference for researchers and practitioners who need a quick introduction to finite element methods. P>.

Structural analysis (Engineering). --- Finite element method. --- Applied mathematics. --- Engineering mathematics. --- Computer mathematics. --- Partial differential equations. --- Mathematical physics. --- Engineering. --- Applications of Mathematics. --- Computational Mathematics and Numerical Analysis. --- Partial Differential Equations. --- Theoretical, Mathematical and Computational Physics. --- Mathematical and Computational Engineering. --- Engineering, general. --- Construction --- Industrial arts --- Technology --- Physical mathematics --- Physics --- Partial differential equations --- Computer mathematics --- Electronic data processing --- Mathematics --- Engineering --- Engineering analysis --- Mathematical analysis --- Éléments finis, Méthode des --- Finite element method --- Éléments finis, Méthode des. --- Éléments-frontières, Méthode des. --- Systèmes linéaires. --- Boundary element methods. --- Linear systems.