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Differential Equations eBooks

If you like Differential Equations eBooks, then you'll love these top picks.
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  • Advanced Problem Solving Using Maple

    Applied Mathematics, Operations Research, Business Analytics, and Decision Analysis

    by William P Fox, William Bauldry ...
    Series series Textbooks in Mathematics
    Advanced Problem Solving Using Maple™: Applied Mathematics, Operations Research, Business Analytics, and Decision Analysis applies the mathematical modeling process by formulating, building, solving, analyzing, and criticizing mathematical models. Scenarios are developed within the scope of the problem-solving process.The text focuses on discrete dynamical systems, optimization techniques, single ... Read more

    RM 274.36

  • Verallgemeinerte Funktionen

    Grundlagen und Anwendungsbeispiele

    by Stefan Schäffler ...
    Series series Life Science and Basic Disciplines (German Language)
    Dieses essential bietet eine Einführung in die theoretischen Grundlagen und Anwendungen der verallgemeinerten Funktionen. Nach zwei typischen Anwendungen verallgemeinerter Funktionen wird die Theorie entwickelt, wobei zum besseren Verständnis nur die fundamentalen Ideen vorgestellt werden, sodass keine funktionalanalytischen Kenntnisse vorausgesetzt werden. Danach folgt eine systemtheoretische ... Read more

    RM 21.59

  • Ordinary Differential Equations

    by Mark G. Davidson, William A. Adkins ...
    Series series Mathematics and Statistics (R0)
    Unlike most texts in differential equations, this textbook gives an early presentation of the Laplace transform, which is then used to motivate and develop many of the remaining differential equation concepts for which it is particularly well suited. For example, the standard solution methods for constant coefficient linear differential equations are immediate and simplified, and solution methods ... Read more

    RM 237.69

  • A Simple Introduction to the Mixed Finite Element Method

    Theory and Applications

    by Gabriel N. Gatica ...
    Series series Mathematics and Statistics (R0)
    The main purpose of this book is to provide a simple and accessible introduction to the mixed finite element method as a fundamental tool to numerically solve a wide class of boundary value problems arising in physics and engineering sciences. The book is based on material that was taught in corresponding undergraduate and graduate courses at the Universidad de Concepcion, Concepcion, Chile, ... Read more

    RM 312.69

  • Topological and Variational Methods with Applications to Nonlinear Boundary Value Problems

    by Dumitru Motreanu, Viorica Venera Motreanu, Nikolaos Papageorgiou ...
    Series series Mathematics and Statistics (R0)
    This book focuses on nonlinear boundary value problems and the aspects of nonlinear analysis which are necessary to their study. The authors first give a comprehensive introduction to the many different classical methods from nonlinear analysis, variational principles, and Morse theory. They then provide a rigorous and detailed treatment of the relevant areas of nonlinear analysis with new ... Read more

    RM 375.29

  • Stochastic Processes and Applications

    Diffusion Processes, the Fokker-Planck and Langevin Equations

    by Grigorios A. Pavliotis ...
    Series series Mathematics and Statistics (R0)
    This book presents various results and techniques from the theory of stochastic processes that are useful in the study of stochastic problems in the natural sciences. The main focus is analytical methods, although numerical methods and statistical inference methodologies for studying diffusion processes are also presented. The goal is the development of techniques that are applicable to a wide ... Read more

    RM 237.69

  • Stochastic Differential Equations, Backward SDEs, Partial Differential Equations

    by Etienne Pardoux, Aurel Rӑşcanu ...
    Series series Mathematics and Statistics (R0)
    This research monograph presents results to researchers in stochastic calculus, forward and backward stochastic differential equations, connections between diffusion processes and second order partial differential equations (PDEs), and financial mathematics. It pays special attention to the relations between SDEs/BSDEs and second order PDEs under minimal regularity assumptions, and also extends ... Read more

    RM 542.09

  • Geometrical Themes Inspired by the N-body Problem

    Edited by Luis Hernández-Lamoneda, Haydeé Herrera, Rafael Herrera ...
    Series series Mathematics and Statistics (R0)
    Presenting a selection of recent developments in geometrical problems inspired by the N-body problem, these lecture notes offer a variety of approaches to study them, ranging from variational to dynamical, while developing new insights, making geometrical and topological detours, and providing historical references.A. Guillot’s notes aim to describe differential equations in the complex domain, ... Read more

    RM 145.99

  • Foundation Engineering Mathematics

    by Faridon Amdjadi, Dharminder Singh ...
    Series series Engineering Mathematics and Operations Research
    Mathematics plays a central role in modern culture, and a basic understanding of the nature of mathematics is required for scientific literacy. This new textbook will prepare readers to continue to develop analytical and numerical skills through the study of a variety of mathematical techniques. The statistical element of this textbook enhances the readers’ ability to organize and interpret data. ... Read more

    RM 560.69

  • Fractional Calculus for Skeptics I

    The Fractal Paradigm

    by Bruce J. West, YangQuan Chen ...
    Series series Fractional Order Thinking in Exploring the Frontiers of STEM
    This book is the first of its kind on fractional calculus (FC), dedicated to advocating for FC in STEM education and research.Fractional calculus is increasingly used today, but there remains a core population of skeptics regarding the utility of this "new" calculus. This book is intended for those who are skeptical about the need for fractional calculus to describe dynamic complex networks and ... Read more

    RM 1,113.50

  • Advanced Functional Evolution Equations and Inclusions

    by Saïd Abbas, Mouffak Benchohra ...
    Series series Mathematics and Statistics (R0)
    This book presents up-to-date results on abstract evolution equations and differential inclusions in infinite dimensional spaces. It covers equations with time delay and with impulses, and complements the existing literature in functional differential equations and inclusions. The exposition is devoted to both local and global mild solutions for some classes of functional differential evolution ... Read more

    RM 208.49

  • Simultaneous Systems of Differential Equations and Multi-Dimensional Vibrations

    by Luis Manuel Braga da Costa Campos ...
    Series series Mathematics and Physics for Science and Technology
    Simultaneous Differential Equations and Multi-Dimensional Vibrations is the fourth book within Ordinary Differential Equations with Applications to Trajectories and Vibrations, Six-volume Set. As a set, they are the fourth volume in the series Mathematics and Physics Applied to Science and Technology. This fourth book consists of two chapters (chapters 7 and 8 of the set).The first chapter ... Read more

    RM 294.24

  • Generalized Wavelets and Hypergroups

    by Khalifa Trimeche ...
    Wavelets have recently been enjoying a period of popularity and rapid growth, and the influence of wavelet methods now extends well beyond mathematics into a number of practical fields, including statistics. The theory of hypergroups can be traced back to the turn of the century, and following its formalization in the early 1970s, the area has now ... Read more

    RM 934.50

  • Electromagnetic Wave Diffraction by Conducting Screens pseudodifferential operators in diffraction problems

    Edited by Smirnov, Ilyinsky ...
    This book covers the latest problems of modern mathematical methods for three-dimensional problems of diffraction by arbitrary conducting screens. This comprehensive study provides an introduction to methods of constructing generalized solutions, elements of potential theory, and other underlying mathematical tools. The problem settings, which turn out to be extremely effective, differ ... Read more

    RM 310.15

  • The Gradient Discretisation Method

    by Jérôme Droniou, Robert Eymard, Thierry Gallouët, Cindy Guichard, Raphaèle Herbin ...
    Series series Mathematics and Statistics (R0)
    This monograph presents the Gradient Discretisation Method (GDM), which is a unified convergence analysis framework for numerical methods for elliptic and parabolic partial differential equations. The results obtained by the GDM cover both stationary and transient models; error estimates are provided for linear (and some non-linear) equations, and convergence is established for a wide range of ... Read more

    RM 250.19

  • Integral and Integro-Differential Equations

    Wavelet-Based Numerical Methods

    by Santanu Saha Ray, Srikanta Behera ...
    This book provides a comprehensive study of numerical techniques for solving integral and integro-differential equations using wavelet-based approximation methods. It combines both theoretical insights and practical applications, focusing on integer- and fractional-order equations, including those with weakly singular kernels. Starting with key definitions and theorems from integral equations and ... Read more

    RM 930.53

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  • Adjoint Equations and Perturbation Algorithms in Nonlinear Problems

    by Guri I. Marchuk, Valeri I. Agoshkov, Victor P. Shutyaev ...
    Sparked by demands inherent to the mathematical study of pollution, intensive industry, global warming, and the biosphere, Adjoint Equations and Perturbation Algorithms in Nonlinear Problems is the first book ever to systematically present the theory of adjoint equations for nonlinear problems, as well as their application to perturbation algorithms. This new approach facilitates analysis of ... Read more

    RM 393.66

  • PDE-constrained optimization within FreeFEM

    by Frédéric Hecht, Gontran Lance, Emmanuel Trélat ...
    Series series Mathematics and Statistics (R0)
    PDE constrained optimization problems are frequently encountered in many academic or industrial contexts. This book shows how to attack and solve a given PDE constrained optimization problem thanks to the efficient and expert tool FreeFEM.This book is intended for students and researchers aiming at learning how to efficiently solve, with the software FreeFEM, optimization problems under partial ... Read more

    RM 187.69

  • Übungen zu partiellen Differentialgleichungen

    by Simone Malacrida ...
    In diesem Buch werden Übungen zu folgenden mathematischen Themen durchgeführt:Lösen partiell-abgeleiteter Differentialgleichungen erster OrdnungLösung partieller Ableitungsdifferentialgleichungen zweiter Ordnung: elliptisch, parabolisch und hyperbolischschwache ProblemformulierungAußerdem werden erste theoretische Hinweise gegeben, um die Durchführung der Übungen verständlich zu machen. ... Read more

    RM 15.87

  • Evolution Equations of von Karman Type

    by Pascal Cherrier, Albert Milani ...
    Series series Mathematics and Statistics (R0)
    In these notes we consider two kinds of nonlinear evolution problems of von Karman type on Euclidean spaces of arbitrary even dimension. Each of these problems consists of a system that results from the coupling of two highly nonlinear partial differential equations, one hyperbolic or parabolic and the other elliptic. These systems take their name from a formal analogy with the von Karman ... Read more

    RM 187.69

  • An Introduction to Partial Differential Equations

    by Yehuda Pinchover, Jacob Rubinstein ...
    A complete introduction to partial differential equations, this textbook provides a rigorous yet accessible guide to students in mathematics, physics and engineering. The presentation is lively and up to date, paying particular emphasis to developing an appreciation of underlying mathematical theory. Beginning with basic definitions, properties and derivations of some basic equations of ... Read more

    RM 322.89

  • Advances in Nonlinear Analysis via the Concept of Measure of Noncompactness

    Edited by Józef Banaś, Calogero Vetro, Mohammad Mursaleen, Bessem Samet, Mohamed Jleli ...
    Series series Mathematics and Statistics (R0)
    This book offers a comprehensive treatment of the theory of measures of noncompactness. It discusses various applications of the theory of measures of noncompactness, in particular, by addressing the results and methods of fixed-point theory. The concept of a measure of noncompactness is very useful for the mathematical community working in nonlinear analysis. Both these theories are especially ... Read more

    RM 416.99

  • Mathematical Methods in Engineering and Applied Sciences

    Edited by Hemen Dutta ...
    Series series Mathematics and its Applications
    Recognized as a "Recommended" title by Choice for their October 2020 issue.Choice is a publishing unit at the Association of College & Research Libraries (ACR&L), a division of the American Library Association. Choice has been the acknowledged leader in the provision of objective, high-quality evaluations of nonfiction academic writing.This book covers tools and techniques used for developing ... Read more

    RM 290.26

  • Cauchy Problem for Differential Operators with Double Characteristics

    Non-Effectively Hyperbolic Characteristics

    by Tatsuo Nishitani ...
    Series series Mathematics and Statistics (R0)
    Combining geometrical and microlocal tools, this monograph gives detailed proofs of many well/ill-posed results related to the Cauchy problem for differential operators with non-effectively hyperbolic double characteristics. Previously scattered over numerous different publications, the results are presented from the viewpoint that the Hamilton map and the geometry of bicharacteristics completely ... Read more

    RM 208.49