Applied Analysis And Differential Equations PDF Download
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Author | : Sanjeeva Balasuriya |
Publisher | : |
Total Pages | : 62 |
Release | : 2019 |
Genre | : Mathematics |
ISBN | : 9783039217274 |
Download Applied Analysis of Ordinary Differential Equations Book in PDF, ePub and Kindle
One might say that ordinary differential equations (notably, in Isaac Newton's analysis of the motion of celestial bodies) had a central role in the development of modern applied mathematics. This book is devoted to research articles which build upon this spirit: combining analysis with the applications of ordinary differential equations (ODEs). ODEs arise across a spectrum of applications in physics, engineering, geophysics, biology, chemistry, economics, etc., because the rules governing the time-variation of relevant fields is often naturally expressed in terms of relationships between rates of change. ODEs also emerge in stochastic models--for example, when considering the evolution of a probability density function--and in large networks of interconnected agents. The increasing ease of numerically simulating large systems of ODEs has resulted in a plethora of publications in this area; nevertheless, the difficulty of parametrizing models means that the computational results by themselves are sometimes questionable. Therefore, analysis cannot be ignored. This book comprises articles that possess both interesting applications and the mathematical analysis driven by such applications.
Author | : Ovidiu Carja |
Publisher | : World Scientific |
Total Pages | : 363 |
Release | : 2007-03-27 |
Genre | : Mathematics |
ISBN | : 9814475726 |
Download Applied Analysis And Differential Equations Book in PDF, ePub and Kindle
This volume contains refereed research articles written by experts in the field of applied analysis, differential equations and related topics. Well-known leading mathematicians worldwide and prominent young scientists cover a diverse range of topics, including the most exciting recent developments.A broad range of topics of recent interest are treated: existence, uniqueness, viability, asymptotic stability, viscosity solutions, controllability and numerical analysis for ODE, PDE and stochastic equations. The scope of the book is wide, ranging from pure mathematics to various applied fields such as classical mechanics, biomedicine, and population dynamics.
Author | : Michael Hintermüller |
Publisher | : Springer Nature |
Total Pages | : 396 |
Release | : 2019-11-27 |
Genre | : Mathematics |
ISBN | : 3030331164 |
Download Topics in Applied Analysis and Optimisation Book in PDF, ePub and Kindle
This volume comprises selected, revised papers from the Joint CIM-WIAS Workshop, TAAO 2017, held in Lisbon, Portugal, in December 2017. The workshop brought together experts from research groups at the Weierstrass Institute in Berlin and mathematics centres in Portugal to present and discuss current scientific topics and to promote existing and future collaborations. The papers include the following topics: PDEs with applications to material sciences, thermodynamics and laser dynamics, scientific computing, nonlinear optimization and stochastic analysis.
Author | : Nakhlé H. Asmar |
Publisher | : |
Total Pages | : 904 |
Release | : 2002 |
Genre | : Mathematics |
ISBN | : |
Download Applied Complex Analysis with Partial Differential Equations Book in PDF, ePub and Kindle
This reader-friendly book presents traditional material using a modern approach that invites the use of technology. Abundant exercises, examples, and graphics make it a comprehensive and visually appealing resource. Chapter topics include complex numbers and functions, analytic functions, complex integration, complex series, residues: applications and theory, conformal mapping, partial differential equations: methods and applications, transform methods, and partial differential equations in polar and spherical coordinates. For engineers and physicists in need of a quick reference tool.
Author | : John K. Hunter |
Publisher | : World Scientific |
Total Pages | : 460 |
Release | : 2001 |
Genre | : Mathematics |
ISBN | : 9789810241919 |
Download Applied Analysis Book in PDF, ePub and Kindle
This book provides an introduction to those parts of analysis that are most useful in applications for graduate students. The material is selected for use in applied problems, and is presented clearly and simply but without sacrificing mathematical rigor. The text is accessible to students from a wide variety of backgrounds, including undergraduate students entering applied mathematics from non-mathematical fields and graduate students in the sciences and engineering who want to learn analysis. A basic background in calculus, linear algebra and ordinary differential equations, as well as some familiarity with functions and sets, should be sufficient.
Author | : Sanjeeva Balasuriya |
Publisher | : MDPI |
Total Pages | : 62 |
Release | : 2019-11-14 |
Genre | : Science |
ISBN | : 3039217267 |
Download Applied Analysis of Ordinary Differential Equations Book in PDF, ePub and Kindle
One might say that ordinary differential equations (notably, in Isaac Newton’s analysis of the motion of celestial bodies) had a central role in the development of modern applied mathematics. This book is devoted to research articles which build upon this spirit: combining analysis with the applications of ordinary differential equations (ODEs). ODEs arise across a spectrum of applications in physics, engineering, geophysics, biology, chemistry, economics, etc., because the rules governing the time-variation of relevant fields is often naturally expressed in terms of relationships between rates of change. ODEs also emerge in stochastic models—for example, when considering the evolution of a probability density function—and in large networks of interconnected agents. The increasing ease of numerically simulating large systems of ODEs has resulted in a plethora of publications in this area; nevertheless, the difficulty of parametrizing models means that the computational results by themselves are sometimes questionable. Therefore, analysis cannot be ignored. This book comprises articles that possess both interesting applications and the mathematical analysis driven by such applications.
Author | : Samuel S. Holland |
Publisher | : Courier Corporation |
Total Pages | : 578 |
Release | : 2012-05-04 |
Genre | : Mathematics |
ISBN | : 0486139298 |
Download Applied Analysis by the Hilbert Space Method Book in PDF, ePub and Kindle
Numerous worked examples and exercises highlight this unified treatment. Simple explanations of difficult subjects make it accessible to undergraduates as well as an ideal self-study guide. 1990 edition.
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 | : Cornelius Lanczos |
Publisher | : Courier Corporation |
Total Pages | : 576 |
Release | : 1988-01-01 |
Genre | : Mathematics |
ISBN | : 048665656X |
Download Applied Analysis Book in PDF, ePub and Kindle
Classic work on analysis and design of finite processes for approximating solutions of analytical problems. Features algebraic equations, matrices, harmonic analysis, quadrature methods, and much more.
Author | : Takasi Senba |
Publisher | : World Scientific |
Total Pages | : 530 |
Release | : 2010 |
Genre | : Mathematics |
ISBN | : 1848166524 |
Download Applied Analysis Book in PDF, ePub and Kindle
This book provides a general introduction to applied analysis; vector analysis with physical motivation, calculus of variation, Fourier analysis, eigenfunction expansion, distribution, and so forth, including a catalogue of mathematical theories, such as basic analysis, topological spaces, complex function theory, real analysis, and abstract analysis. This book also uses fundamental ideas of applied mathematics to discuss recent developments in nonlinear science, such as mathematical modeling of reinforced random motion of particles, semiconductor device equation in applied physics, and chemotaxis in biology. Several tools in linear PDE theory, such as fundamental solutions, Perron's method, layer potentials, and iteration scheme, are described, as well as systematic descriptions on the recent study of the blowup of the solution.