Introduction to Partial Differential Equations: With Applications

Science & Math

Pinsky, Mark A.

Mathematics

Mcgraw-Hill College

Written for advanced level courses in Partial Differential Equations (sometimes called Fourier Series or Boundary Value Problems) in departments of Maths, Physics, and Engineering. Both Calculus and Differential Equations are prerequisites for this course. Pinsky's text, while still covering more traditional material in early chapters, de-emphasizes the use of special functions and rigorous proofs while emphasizing the use of Green's function, approximation methods, numerical methods, and asymptotic methods. The text stresses careful analysis of the basic equations, solution methods and selected application interpretations; organizes material around geometric considerations rather than solely around physical models; carefully distinguishes between the Fourier and the explicit representation of the solution of partial differential equations; develops numerical solutions and approximation methods including both perturbation methods and variational methods.

Partial Differential Equations and Boundary Value Problems With Applications (International Series in Pure and Applied Mathematics)

Designed for the junior- and senior-level course in Partial Differential Equations, this new edition builds upon the solid strengths of the previous editions and has been revised to provide a more patient development of the core concepts. The material has been divided into three parts covering preliminary material, basic concepts, and advanced topics. Parts One and Two have also been reorganized and refined to provide more complete examples to help students master the content. The Sturm-Louiville Theory has been placed at the end of Chapter One and the coverage of infinite series and ordinary differential equations has been moved to an appendix.

Partial Differential Equations and Boundary Value Problems with Applications

William C Brown Pub

Explains how Carpal Tunnel Syndrome--nerve damage in the wrists from performing repetitive tasks--is developed; how computer users, assembly-line workers, and others can reduce the risk of injury; how to recognize symptoms; and more.

The Carpal Tunnel Syndrome Book: Preventing and Treating CTS

Health, Fitness & Dieting

Diseases & Physical Ailments

Grand Central Publishing

Written by a successful author and respected mathematician, this book emphasizes a concrete and computational approach to the subject of Fourier analysis and wavelet theory while maintaining a balance between theory and applications. In some cases, several different proofs are offered for a given proposition, allowing students to compare different methods.

Introduction to Fourier Analysis and Wavelets (Brooks/Cole Series in Advanced Mathematics)

Amer Mathematical Society

Building on the basic techniques of separation of variables and Fourier series, the book presents the solution of boundary-value problems for basic partial differential equations: the heat equation, wave equation, and Laplace equation, considered in various standard coordinate systems--rectangular, cylindrical, and spherical. Each of the equations is derived in the three-dimensional context; the solutions are organized according to the geometry of the coordinate system, which makes the mathematics especially transparent. Bessel and Legendre functions are studied and used whenever appropriate throughout the text. The notions of steady-state solution of closely related stationary solutions are developed for the heat equation; applications to the study of heat flow in the earth are presented. The problem of the vibrating string is studied in detail both in the Fourier transform setting and from the viewpoint of the explicit representation (d'Alembert formula). Additional chapters include the numerical analysis of solutions and the method of Green's functions for solutions of partial differential equations. The exposition also includes asymptotic methods (Laplace transform and stationary phase). With more than 200 working examples and 700 exercises (more than 450 with answers), the book is suitable for an undergraduate course in partial differential equations.

Partial Differential Equations and Boundary-Value Problems with Applications (Pure and Applied Undergraduate Texts)

These materials - developed and thoroughly class tested over many years by the authors -are for use in courses at the sophomore/junior level. A prerequisite is the calculus of one variable, although calculus of several variables, and linear algebra are recommended. The text covers the standard topics in first and second order equations, power series solutions, first order systems, Laplace transforms, numerical methods and stability of non-linear systems. Liberal use is made of programs in Mathematica, both for symbolic computations and graphical displays. The programs are described in separate sections, as well as in the accompanying Mathematica notebooks. However, the book has been designed so that it can be read with or without Mathematica and no previous knowledge of Mathematica is required. The CD-ROM contains the Mathematica solution of worked examples, a selection of various Mathematica notebooks, Mathematica movies and sample labs for students. Mathematica programs and additional problem/example files will be available online through the TELOS Web site and the authors dedicated web site.

Introduction to Ordinary Differential Equations with Mathematica: An Integrated Multimedia Approach

Computers & Technology

Gray, Alfred

Mezzino, Michael

Computer Science

Springer

Now available from Waveland Press, this corrected version of a classic text offers a level of rigor and completeness that rivals any book of its kind. Building on the basic techniques of separation-of-variables and Fourier series-integral methods, the book contains the solution of boundary-value problems for the heat equation, wave equation, and Laplace's equation in the standard coordinate systems--rectangular, cylindrical, and spherical. Each of the basic equations is derived in the three-dimensional context; the solutions are organized according to the geometry of the coordinate system rather than by the type of the equation, which makes the mathematics especially clear. Bessel and Legendre functions are developed in their own right, and their use is specifically indicated, where appropriate. The notion of steady-state solution and the closely related stationary solutions are developed for the heat equation and applied to the problem of heat flow in the earth. The problem of the vibrating string is also studied in detail, both from the Fourier viewpoint and the viewpoint of the explicit representation (d'Alembert's formula). Additional chapters include the numerical analysis of solutions and the method of Green's functions for solutions of partial differential equations. Special features include more than 200 worked examples and 700 exercises, with nearly 450 answers; asymptotic methods (Laplace and stationary phase); and over 300 typographical cleanups from the previous publisher's versions!

Partial Differential Equations and Boundary Value Problems With Applications

Waveland Pr Inc.

Two leading figures from the world of finance show how progressives can take their money away from conservative financial institutions and put it to good, lasting social use The U.S. financial system may be working for some people, but it isn’t working for most of us who care about progressive causes. In fact, our financial system taps your money to pay for a conservative agenda. It’s a heads-they-win, tails-you-lose game when the fees you pay to use your credit card finance fossil fuels even when you buy green products. Conservative “money muscle” shapes our culture, society, politics, and public policy. In this bold call to action, two leaders from the world of progressive finance propose a strategy to challenge this conservative dominance of the financial sector: organized progressive money. It’s a $10 trillion plan for a full- service, market-scale progressive financial system. Mestrich and Pinsky explain how progressives can take control with financial institutions of their own and products that align with progressive values. Organized Money warns that until progressives organize their money, they will lose again and again while conservatives will keep winning. It’s a crucial message for the next progressive era, starting with the make-or-break 2020 election cycle, where American voters will be presented with a choice between conservative market fundamentalism that leaves them out or inclusive restorative capitalism that is good for people as well as profits. Written in clear, engaging prose for non- financial readers and finance leaders alike, Organized Money is required reading for everyone ready to confront the excesses of conservative power and influence.

Organized Money: How Progressives Can Leverage the Financial System to Work for Them, Not Against Them

Business & Money

Mestrich, Keith

Economics

The New Press

Diffusion Processes and Related Problems in Analysis (Pure and Applied Mathematics) (v. 1)

Birkhauser

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Books by Pinsky, Mark A.