A Very Applied First Course In Partial Differential Equations PDF Download
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Author | : Michael K. Keane |
Publisher | : |
Total Pages | : 536 |
Release | : 2002 |
Genre | : Mathematics |
ISBN | : |
Download A Very Applied First Course in Partial Differential Equations Book in PDF, ePub and Kindle
This extremely readable book illustrates how mathematics applies directly to different fields of study. Focuses on problems that require physical to mathematical translations, by showing readers how equations have actual meaning in the real world. Covers fourier integrals, and transform methods, classical PDE problems, the Sturm-Liouville Eigenvalue problem, and much more. For readers interested in partial differential equations.
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, the· 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 | : H. F. Weinberger |
Publisher | : Courier Corporation |
Total Pages | : 482 |
Release | : 2012-04-20 |
Genre | : Mathematics |
ISBN | : 0486132048 |
Download A First Course in Partial Differential Equations Book in PDF, ePub and Kindle
Suitable for advanced undergraduate and graduate students, this text presents the general properties of partial differential equations, including the elementary theory of complex variables. Solutions. 1965 edition.
Author | : J. Robert Buchanan |
Publisher | : World Scientific Publishing Company |
Total Pages | : 606 |
Release | : 2017-09 |
Genre | : Mathematics |
ISBN | : 9789813226432 |
Download A First Course in Partial Differential Equations Book in PDF, ePub and Kindle
This textbook gives an introduction to Partial Differential Equations (PDEs), for any reader wishing to learn and understand the basic concepts, theory, and solution techniques of elementary PDEs. The only prerequisite is an undergraduate course in Ordinary Differential Equations. This work contains a comprehensive treatment of the standard second-order linear PDEs, the heat equation, wave equation, and Laplace's equation. First-order and some common nonlinear PDEs arising in the physical and life sciences, with their solutions, are also covered. This textbook includes an introduction to Fourier series and their properties, an introduction to regular Sturm-Liouville boundary value problems, special functions of mathematical physics, a treatment of nonhomogeneous equations and boundary conditions using methods such as Duhamel's principle, and an introduction to the finite difference technique for the numerical approximation of solutions. All results have been rigorously justified or precise references to justifications in more advanced sources have been cited. Appendices providing a background in complex analysis and linear algebra are also included for readers with limited prior exposure to those subjects. The textbook includes material from which instructors could create a one- or two-semester course in PDEs. Students may also study this material in preparation for a graduate school (masters or doctoral) course in PDEs.
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 | : A. Iserles |
Publisher | : Cambridge University Press |
Total Pages | : 481 |
Release | : 2009 |
Genre | : Mathematics |
ISBN | : 0521734908 |
Download A First Course in the Numerical Analysis of Differential Equations Book in PDF, ePub and Kindle
lead the reader to a theoretical understanding of the subject without neglecting its practical aspects. The outcome is a textbook that is mathematically honest and rigorous and provides its target audience with a wide range of skills in both ordinary and partial differential equations." --Book Jacket.
Author | : J. David Logan |
Publisher | : Springer Science & Business Media |
Total Pages | : 297 |
Release | : 2006-05-20 |
Genre | : Mathematics |
ISBN | : 0387299300 |
Download A First Course in Differential Equations Book in PDF, ePub and Kindle
Therearemanyexcellenttextsonelementarydi?erentialequationsdesignedfor the standard sophomore course. However, in spite of the fact that most courses are one semester in length, the texts have evolved into calculus-like pres- tations that include a large collection of methods and applications, packaged with student manuals, and Web-based notes, projects, and supplements. All of this comes in several hundred pages of text with busy formats. Most students do not have the time or desire to read voluminous texts and explore internet supplements. The format of this di?erential equations book is di?erent; it is a one-semester, brief treatment of the basic ideas, models, and solution methods. Itslimitedcoverageplacesitsomewherebetweenanoutlineandadetailedte- book. I have tried to write concisely, to the point, and in plain language. Many worked examples and exercises are included. A student who works through this primer will have the tools to go to the next level in applying di?erential eq- tions to problems in engineering, science, and applied mathematics. It can give some instructors, who want more concise coverage, an alternative to existing texts.
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 | : 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 | : Jose Garcia-Cuerva |
Publisher | : CRC Press |
Total Pages | : 336 |
Release | : 2018-01-18 |
Genre | : Mathematics |
ISBN | : 135108058X |
Download Fourier Analysis and Partial Differential Equations Book in PDF, ePub and Kindle
Contains easy access to four actual and active areas of research in Fourier Analysis and PDE Covers a wide spectrum of topics in present research Provides a complete picture of state-of-the-art methods in the field Contains 200 tables allowing the reader speedy access to precise data