Partial Differential Equations And Applications PDF Download
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Author | : E. C. Zachmanoglou |
Publisher | : Courier Corporation |
Total Pages | : 434 |
Release | : 2012-04-20 |
Genre | : Mathematics |
ISBN | : 048613217X |
Download Introduction to Partial Differential Equations with Applications Book in PDF, ePub and Kindle
This text explores the essentials of partial differential equations as applied to engineering and the physical sciences. Discusses ordinary differential equations, integral curves and surfaces of vector fields, the Cauchy-Kovalevsky theory, more. Problems and answers.
Author | : Tomás Roubicek |
Publisher | : Springer Science & Business Media |
Total Pages | : 415 |
Release | : 2006-01-17 |
Genre | : Mathematics |
ISBN | : 3764373970 |
Download Nonlinear Partial Differential Equations with Applications Book in PDF, ePub and Kindle
This book primarily concerns quasilinear and semilinear elliptic and parabolic partial differential equations, inequalities, and systems. The exposition quickly leads general theory to analysis of concrete equations, which have specific applications in such areas as electrically (semi-) conductive media, modeling of biological systems, and mechanical engineering. Methods of Galerkin or of Rothe are exposed in a large generality.
Author | : Victor Henner |
Publisher | : CRC Press |
Total Pages | : 298 |
Release | : 2019-11-20 |
Genre | : Mathematics |
ISBN | : 0429804415 |
Download Partial Differential Equations Book in PDF, ePub and Kindle
Partial Differential Equations: Analytical Methods and Applications covers all the basic topics of a Partial Differential Equations (PDE) course for undergraduate students or a beginners’ course for graduate students. It provides qualitative physical explanation of mathematical results while maintaining the expected level of it rigor. This text introduces and promotes practice of necessary problem-solving skills. The presentation is concise and friendly to the reader. The "teaching-by-examples" approach provides numerous carefully chosen examples that guide step-by-step learning of concepts and techniques. Fourier series, Sturm-Liouville problem, Fourier transform, and Laplace transform are included. The book’s level of presentation and structure is well suited for use in engineering, physics and applied mathematics courses. Highlights: Offers a complete first course on PDEs The text’s flexible structure promotes varied syllabi for courses Written with a teach-by-example approach which offers numerous examples and applications Includes additional topics such as the Sturm-Liouville problem, Fourier and Laplace transforms, and special functions The text’s graphical material makes excellent use of modern software packages Features numerous examples and applications which are suitable for readers studying the subject remotely or independently
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 | : Michael Shearer |
Publisher | : Princeton University Press |
Total Pages | : 286 |
Release | : 2015-03-01 |
Genre | : Mathematics |
ISBN | : 0691161291 |
Download Partial Differential Equations Book in PDF, ePub and Kindle
An accessible yet rigorous introduction to partial differential equations This textbook provides beginning graduate students and advanced undergraduates with an accessible introduction to the rich subject of partial differential equations (PDEs). It presents a rigorous and clear explanation of the more elementary theoretical aspects of PDEs, while also drawing connections to deeper analysis and applications. The book serves as a needed bridge between basic undergraduate texts and more advanced books that require a significant background in functional analysis. Topics include first order equations and the method of characteristics, second order linear equations, wave and heat equations, Laplace and Poisson equations, and separation of variables. The book also covers fundamental solutions, Green's functions and distributions, beginning functional analysis applied to elliptic PDEs, traveling wave solutions of selected parabolic PDEs, and scalar conservation laws and systems of hyperbolic PDEs. Provides an accessible yet rigorous introduction to partial differential equations Draws connections to advanced topics in analysis Covers applications to continuum mechanics An electronic solutions manual is available only to professors An online illustration package is available to professors
Author | : Bernard Dacorogna |
Publisher | : Springer |
Total Pages | : 256 |
Release | : 2017-05-29 |
Genre | : Mathematics |
ISBN | : 3319545140 |
Download Vector-Valued Partial Differential Equations and Applications Book in PDF, ePub and Kindle
Collating different aspects of Vector-valued Partial Differential Equations and Applications, this volume is based on the 2013 CIME Course with the same name which took place at Cetraro, Italy, under the scientific direction of John Ball and Paolo Marcellini. It contains the following contributions: The pullback equation (Bernard Dacorogna), The stability of the isoperimetric inequality (Nicola Fusco), Mathematical problems in thin elastic sheets: scaling limits, packing, crumpling and singularities (Stefan Müller), and Aspects of PDEs related to fluid flows (Vladimir Sverák). These lectures are addressed to graduate students and researchers in the field.
Author | : András Vasy |
Publisher | : American Mathematical Society |
Total Pages | : 295 |
Release | : 2022-07-15 |
Genre | : Mathematics |
ISBN | : 1470469839 |
Download Partial Differential Equations Book in PDF, ePub and Kindle
This text on partial differential equations is intended for readers who want to understand the theoretical underpinnings of modern PDEs in settings that are important for the applications without using extensive analytic tools required by most advanced texts. The assumed mathematical background is at the level of multivariable calculus and basic metric space material, but the latter is recalled as relevant as the text progresses. The key goal of this book is to be mathematically complete without overwhelming the reader, and to develop PDE theory in a manner that reflects how researchers would think about the material. A concrete example is that distribution theory and the concept of weak solutions are introduced early because while these ideas take some time for the students to get used to, they are fundamentally easy and, on the other hand, play a central role in the field. Then, Hilbert spaces that are quite important in the later development are introduced via completions which give essentially all the features one wants without the overhead of measure theory. There is additional material provided for readers who would like to learn more than the core material, and there are numerous exercises to help solidify one's understanding. The text should be suitable for advanced undergraduates or for beginning graduate students including those in engineering or the sciences.
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 | : Walter A. Strauss |
Publisher | : John Wiley & Sons |
Total Pages | : 467 |
Release | : 2007-12-21 |
Genre | : Mathematics |
ISBN | : 0470054565 |
Download Partial Differential Equations Book in PDF, ePub and Kindle
Our understanding of the fundamental processes of the natural world is based to a large extent on partial differential equations (PDEs). The second edition of Partial Differential Equations provides an introduction to the basic properties of PDEs and the ideas and techniques that have proven useful in analyzing them. It provides the student a broad perspective on the subject, illustrates the incredibly rich variety of phenomena encompassed by it, and imparts a working knowledge of the most important techniques of analysis of the solutions of the equations. In this book mathematical jargon is minimized. Our focus is on the three most classical PDEs: the wave, heat and Laplace equations. Advanced concepts are introduced frequently but with the least possible technicalities. The book is flexibly designed for juniors, seniors or beginning graduate students in science, engineering or mathematics.
Author | : Jianhong Wu |
Publisher | : Springer Science & Business Media |
Total Pages | : 441 |
Release | : 2012-12-06 |
Genre | : Mathematics |
ISBN | : 1461240506 |
Download Theory and Applications of Partial Functional Differential Equations Book in PDF, ePub and Kindle
Abstract semilinear functional differential equations arise from many biological, chemical, and physical systems which are characterized by both spatial and temporal variables and exhibit various spatio-temporal patterns. The aim of this book is to provide an introduction of the qualitative theory and applications of these equations from the dynamical systems point of view. The required prerequisites for that book are at a level of a graduate student. The style of presentation will be appealing to people trained and interested in qualitative theory of ordinary and functional differential equations.