Applied Analysis

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Applied Analysis

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Author : Takasi Senba
language : en
Publisher: World Scientific Publishing Company
Release Date : 2004-04-15

Applied Analysis written by Takasi Senba and has been published by World Scientific Publishing Company this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-04-15 with Mathematics categories.

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. Contents: Geometric ObjectsCalculus of VariationInfinite-Dimensional AnalysisRandom Motion of ParticlesLinear PDE TheoryNonlinear PDE TheorySystem of Chemotaxis Readership: Mathematics undergraduates.

Applied Analysis

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Author : Cornelius Lanczos
language : en
Publisher: Courier Corporation
Release Date : 1988-01-01

Applied Analysis written by Cornelius Lanczos and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 1988-01-01 with Mathematics categories.

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.

Lecture Notes On Applied Analysis

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Author : Roderick S C Wong
language : en
Publisher: World Scientific Publishing Company
Release Date : 2010-01-18

Lecture Notes On Applied Analysis written by Roderick S C Wong and has been published by World Scientific Publishing Company this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-01-18 with Mathematics categories.

There are several subjects in analysis that are frequently used in applied mathematics, theoretical physics and engineering sciences, such as complex variable, ordinary differential equations, special functions, asymptotic methods, integral transforms and distribution theory. However, for graduate students or upper-level undergraduate students who are not going to specialize in these areas, there is no need for them to study these subjects in great depth. Instead, it would probably be more beneficial for them to have an introduction to these topics so that when the need arises, they know what approach to take. With this in mind, this set of lecture notes has been written for a one-semester course. Sufficient details have also been included to make it sufficiently adaptable for self-study. There are in total six chapters with each covering only a few topics. Furthermore, the chapters are all self-contained. The prerequisites for the readers of this book are advanced calculus, a first course in ordinary differential equations and elementary complex variable.

Applied Analysis And Differential Equations

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Author : Ovidiu Carja
language : en
Publisher: World Scientific
Release Date : 2007-03-27

Applied Analysis And Differential Equations written by Ovidiu Carja and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-03-27 with Mathematics categories.

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.

Mathematical Modelling Applied Analysis And Computation

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Author : Jagdev Singh
language : en
Publisher: Springer Nature
Release Date : 2019-08-31

Mathematical Modelling Applied Analysis And Computation written by Jagdev Singh and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-08-31 with Mathematics categories.

This book contains original research papers presented at the International Conference on Mathematical Modelling, Applied Analysis and Computation, held at JECRC University, Jaipur, India, on 6-8 July, 2018. Organized into 20 chapters, the book focuses on theoretical and applied aspects of various types of mathematical modelling such as equations of various types, fuzzy mathematical models, automata, Petri nets and bond graphs for systems of dynamic nature and the usage of numerical techniques in handling modern problems of science, engineering and finance. It covers the applications of mathematical modelling in physics, chemistry, biology, mechanical engineering, civil engineering, computer science, social science and finance. A wide variety of dynamical systems like deterministic, stochastic, continuous, discrete or hybrid, with respect to time, are discussed in the book. It provides the mathematical modelling of various problems arising in science and engineering, and also new efficient numerical approaches for solving linear and nonlinear problems and rigorous mathematical theories, which can be used to analyze a different kind of mathematical models. The conference was aimed at fostering cooperation among students and researchers in areas of applied analysis, engineering and computation with the deliberations to inculcate new research ideas in their relevant fields. This volume will provide a comprehensive introduction to recent theories and applications of mathematical modelling and numerical simulation, which will be a valuable resource for graduate students and researchers of mathematical modelling and industrial mathematics.

Advances In Mathematical Modelling Applied Analysis And Computation

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Author : Jagdev Singh
language : en
Publisher: Springer Nature
Release Date : 2025-07-11

Advances In Mathematical Modelling Applied Analysis And Computation written by Jagdev Singh and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-07-11 with Mathematics categories.

This book is a collection of research papers from the “7th International Conference on Mathematical Modelling, Applied Analysis and Computation” organized by Lebanese American University, Beirut, Lebanon from April 18–20, 2024. This proceeding contains research papers related with fundamental mathematical theory and methods in a very suitable manner and useful for handling various contemporary issues of physical, chemical and engineering sciences. The aim of this conference is to foster cooperation among mathematicians and scientists working in these areas. This book is a very useful resource for mathematicians, scientists and engineers working in the field of applied mathematics, analysis and computation for solving real life problems of different domains.

Applied Analysis Optimization And Soft Computing

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Author : Tanmoy Som
language : en
Publisher: Springer Nature
Release Date : 2023-06-10

Applied Analysis Optimization And Soft Computing written by Tanmoy Som and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-06-10 with Mathematics categories.

This book contains select contributions presented at the International Conference on Nonlinear Applied Analysis and Optimization (ICNAAO-2021), held at the Department of Mathematics Sciences, Indian Institute of Technology (BHU) Varanasi, India, from 21–23 December 2021. The book discusses topics in the areas of nonlinear analysis, fixed point theory, dynamical systems, optimization, fractals, applications to differential/integral equations, signal and image processing, and soft computing, and exposes the young talents with the newer dimensions in these areas with their practical approaches and to tackle the real-life problems in engineering, medical and social sciences. Scientists from the U.S.A., Austria, France, Mexico, Romania, and India have contributed their research. All the submissions are peer reviewed by experts in their fields.

Topics In Applied Analysis And Optimisation

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Author : Michael Hintermüller
language : en
Publisher: Springer Nature
Release Date : 2019-11-27

Topics In Applied Analysis And Optimisation written by Michael Hintermüller and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-11-27 with Mathematics categories.

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.

Applied Analysis Of Ordinary Differential Equations

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Author : Sanjeeva Balasuriya
language : en
Publisher: MDPI
Release Date : 2019-11-14

Applied Analysis Of Ordinary Differential Equations written by Sanjeeva Balasuriya and has been published by MDPI this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-11-14 with Science categories.

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.

Applied Analysis Mathematics For Science Technology Engineering Third Edition

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Author : Takashi Suzuki
language : en
Publisher: World Scientific
Release Date : 2022-04-28

Applied Analysis Mathematics For Science Technology Engineering Third Edition written by Takashi Suzuki and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-04-28 with Mathematics categories.

This book is to be a new edition of Applied Analysis. Several fundamental materials of applied and theoretical sciences are added, which are needed by the current society, as well as recent developments in pure and applied mathematics. New materials in the basic level are the mathematical modelling using ODEs in applied sciences, elements in Riemann geometry in accordance with tensor analysis used in continuum mechanics, combining engineering and modern mathematics, detailed description of optimization, and real analysis used in the recent study of PDEs. Those in the advance level are the integration of ODEs, inverse Strum Liouville problems, interface vanishing of the Maxwell system, method of gradient inequality, diffusion geometry, mathematical oncology. Several descriptions on the analysis of Smoluchowski-Poisson equation in two space dimension are corrected and extended, to ensure quantized blowup mechanism of this model, particularly, the residual vanishing both in blowup solution in finite time with possible collision of sub-collapses and blowup solutions in infinite time without it.