Applied Partial Differential Equations
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Author | : J. David Logan |
Publisher | : Springer Science & Business Media |
Total Pages | : 193 |
Release | : 2012-12-06 |
Genre | : Mathematics |
ISBN | : 1468405330 |
Download Applied Partial Differential Equations Book in PDF, Epub and Kindle
This textbook is for the standard, one-semester, junior-senior course that often goes by the title "Elementary Partial Differential Equations" or "Boundary Value Problems;' The audience usually consists of stu dents in mathematics, engineering, and the physical sciences. The topics include derivations of some of the standard equations of mathemati cal physics (including the heat equation, theĀ· wave equation, and the Laplace's equation) and methods for solving those equations on bounded and unbounded domains. Methods include eigenfunction expansions or separation of variables, and methods based on Fourier and Laplace transforms. Prerequisites include calculus and a post-calculus differential equations course. There are several excellent texts for this course, so one can legitimately ask why one would wish to write another. A survey of the content of the existing titles shows that their scope is broad and the analysis detailed; and they often exceed five hundred pages in length. These books gen erally have enough material for two, three, or even four semesters. Yet, many undergraduate courses are one-semester courses. The author has often felt that students become a little uncomfortable when an instructor jumps around in a long volume searching for the right topics, or only par tially covers some topics; but they are secure in completely mastering a short, well-defined introduction. This text was written to proVide a brief, one-semester introduction to partial differential equations.
Author | : Peter Markowich |
Publisher | : Springer Science & Business Media |
Total Pages | : 210 |
Release | : 2007-08-06 |
Genre | : Mathematics |
ISBN | : 3540346465 |
Download Applied Partial Differential Equations: Book in PDF, Epub and Kindle
This book presents topics of science and engineering which occur in nature or are part of daily life. It describes phenomena which are modelled by partial differential equations, relating to physical variables like mass, velocity and energy, etc. to their spatial and temporal variations. The author has chosen topics representing his career-long interests, including the flow of fluids and gases, granular flows, biological processes like pattern formation on animal skins, kinetics of rarified gases and semiconductor devices. Each topic is presented in its scientific or engineering context, followed by an introduction of applicable mathematical models in the form of partial differential equations.
Author | : Paul DuChateau |
Publisher | : Courier Corporation |
Total Pages | : 638 |
Release | : 2012-10-30 |
Genre | : Mathematics |
ISBN | : 048614187X |
Download Applied Partial Differential Equations Book in PDF, Epub and Kindle
Superb introduction devotes almost half its pages to numerical methods for solving partial differential equations, while the heart of the book focuses on boundary-value and initial-boundary-value problems on spatially bounded and on unbounded domains; integral transforms; uniqueness and continuous dependence on data, first-order equations, and more. Numerous exercises included, with solutions for many at end of book. For students with little background in linear algebra, a useful appendix covers that subject briefly.
Author | : Richard Haberman |
Publisher | : Pearson |
Total Pages | : 784 |
Release | : 2018-03-15 |
Genre | : Boundary value problems |
ISBN | : 9780134995434 |
Download Applied Partial Differential Equations with Fourier Series and Boundary Value Problems (Classic Version) Book in PDF, Epub and Kindle
This title is part of the Pearson Modern Classics series. Pearson Modern Classics are acclaimed titles at a value price. Please visit www.pearsonhighered.com/math-classics-series for a complete list of titles. Applied Partial Differential Equations with Fourier Series and Boundary Value Problems emphasizes the physical interpretation of mathematical solutions and introduces applied mathematics while presenting differential equations. Coverage includes Fourier series, orthogonal functions, boundary value problems, Green's functions, and transform methods. This text is ideal for readers interested in science, engineering, and applied mathematics.
Author | : Richard Haberman |
Publisher | : |
Total Pages | : 0 |
Release | : 1998 |
Genre | : Boundary value problems |
ISBN | : 9780132638074 |
Download Elementary Applied Partial Differential Equations Book in PDF, Epub and Kindle
This work aims to help the beginning student to understand the relationship between mathematics and physical problems, emphasizing examples and problem-solving.
Author | : J. R. Ockendon |
Publisher | : |
Total Pages | : 466 |
Release | : 2003 |
Genre | : Business & Economics |
ISBN | : 9780198527718 |
Download Applied Partial Differential Equations Book in PDF, Epub and Kindle
Partial differential equations are used in mathematical models of a huge range of real-world phenomena, from electromagnetism to financial markets. This new edition of Applied PDEs contains many new sections and exercises Including, American options, transform methods, free surface flows, linear elasticity and complex characteristics.
Author | : John M. Davis |
Publisher | : W. H. Freeman |
Total Pages | : 0 |
Release | : 2012-01-06 |
Genre | : Mathematics |
ISBN | : 9781429275927 |
Download Introduction to Applied Partial Differential Equations Book in PDF, Epub and Kindle
Drawing on his decade of experience teaching the differential equations course, John Davis offers a refreshing and effective new approach to partial differential equations that is equal parts computational proficiency, visualization, and physical interpretation of the problem at hand.
Author | : Mark A. Pinsky |
Publisher | : American Mathematical Soc. |
Total Pages | : 545 |
Release | : 2011 |
Genre | : Mathematics |
ISBN | : 0821868896 |
Download Partial Differential Equations and Boundary-Value Problems with Applications Book in PDF, Epub and Kindle
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.
Author | : Stig Larsson |
Publisher | : Springer Science & Business Media |
Total Pages | : 263 |
Release | : 2008-12-05 |
Genre | : Mathematics |
ISBN | : 3540887059 |
Download Partial Differential Equations with Numerical Methods Book in PDF, Epub and Kindle
The main theme is the integration of the theory of linear PDE and the theory of finite difference and finite element methods. For each type of PDE, elliptic, parabolic, and hyperbolic, the text contains one chapter on the mathematical theory of the differential equation, followed by one chapter on finite difference methods and one on finite element methods. The chapters on elliptic equations are preceded by a chapter on the two-point boundary value problem for ordinary differential equations. Similarly, the chapters on time-dependent problems are preceded by a chapter on the initial-value problem for ordinary differential equations. There is also one chapter on the elliptic eigenvalue problem and eigenfunction expansion. The presentation does not presume a deep knowledge of mathematical and functional analysis. The required background on linear functional analysis and Sobolev spaces is reviewed in an appendix. The book is suitable for advanced undergraduate and beginning graduate students of applied mathematics and engineering.
Author | : Alan Jeffrey |
Publisher | : Academic Press |
Total Pages | : 412 |
Release | : 2003 |
Genre | : Mathematics |
ISBN | : 9780123822529 |
Download Applied Partial Differential Equations: An Introduction Book in PDF, Epub and Kindle
This book is written to meet the needs of undergraduates in applied mathematics, physics and engineering studying partial differential equations. It is a more modern, comprehensive treatment intended for students who need more than the purely numerical solutions provided by programs like the MATLAB PDE Toolbox, and those obtained by the method of separation of variables, which is usually the only theoretical approach found in the majority of elementary textbooks. This will fill a need in the market for a more modern text for future working engineers, and one that students can read and understand much more easily than those currently on the market. * Includes new and important materials necessary to meet current demands made by diverse applications * Very detailed solutions to odd numbered problems to help students * Instructor's Manual Available