Tag: Equations

Free Download Differential Equations, Fourier Series, and Hilbert Spaces
by Raffaele Chiappinelli
English | 2023 | ISBN: 3111294854 | 220 pages | True PDF EPUB | 26.16 MB

Free Download Peter Markowich, "Applied Partial Differential Equations:: A Visual Approach"
English | 2006 | pages: 210 | ISBN: 3540346457, 3662518120 | PDF | 17,5 mb
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.

Free Download Saber Elaydi, "An Introduction to Difference Equations"
English | 2005 | pages: 547 | ISBN: 1441920013, 0387230599 | PDF | 4,5 mb
A must-read for mathematicians, scientists and engineers who want to understand difference equations and discrete dynamics

Free Download Advances in Delay Differential Equations by Alexandra Kashchenko
English | PDF | 2023 | 214 Pages | ISBN : 303658286X | 2.9 MB
The present book contains the 11 articles published in the Special Issue "Advances in Delay Differential Equations" of the MDPI journal Mathematics. The papers cover a wide range of topics connected to the theory of differential equations with delay. These topics include, among others, the construction of solutions, analytical and numerical methods for; dynamical properties of; and applications of DDE to the mathematical modeling of various phenomena and processes in physics, biology, ecology, and medicine.

Free Download Partial Differential Equations (238 Pages)
by Osamu Sano
English | 2023 | ISBN: 9811270880 | 239 pages | True PDF | 20.08 MB
Quite a number of phenomena in science and technology, industrial and/or agricultural production and transport, medical and/or biological flows and movements, social and/or economical developments, etc., depend on many variables, and are very much complicated. Although the detailed knowledge is accumulated in respective fields, it is meaningful to model and analyze the essential part of the phenomena in terms of smaller number of variables, which falls into partial differential equations. This book aims at providing students and researchers the basic ideas and the methods to solve problems in various fields. Particular attention is paid to bridge the gap between mathematics and the real world. To do this, we start from a simple system with intuitively understandable physical background, extract the essential part, formulate into mathematical tools, and then generalize for further application. Here logical thinking in depth and wide linking to various fields are sought to construct intellectual network.

Free Download Ordinary Differential Equations : A Dynamical Point of View (193 Pages)
by Stephen Wiggins
English | 2023 | ISBN: 9811281548 | 194 pages | True PDF | 10.61 MB
Ordinary differential equations is a standard course in the undergraduate mathematics curriculum that usually comes after the first university calculus and linear algebra courses taken by a mathematics major. Such courses may also typically be attended by undergraduates from other areas of physical and social sciences, and engineering. The content of such a course has remained fairly static over time, despite the expansion of the topic into other disciplines as a result of the dynamical systems point of view.This core undergraduate course updated from the dynamical systems perspective can easily be covered in one semester, with room for projects or more advanced topics tailored to the interests of the students.

Free Download Multiplicative Partial Differential Equations
by Svetlin G. Georgiev
English | 2023 | ISBN: 1032575034 | 269 pages | True PDF | 3.62 MB
This book presents an introduction to the theory of multiplicative partial differential equations (MPDEs). It is suitable for all types of basic courses on MPDEs. The author’s aim is to present a clear and well-organized treatment of the concept behind the development of mathematics and solution techniques. The text material of this book is presented in highly readable, mathematically solid format. Many practical problems are illustrated displaying a wide variety of solution techniques.

Free Download Mathematical Physics with Differential Equations
by Yang, Yisong;
English | 2023 | ISBN: 0192872621 | 593 pages | True PDF | 9.89 MB
Traditional literature in mathematical physics is clustered around classical mechanics, especially fluids and elasticity. This book reflects the modern development of theoretical physics in the areas of field classical, quantum, and gravitational, in which differential equations play essential roles and offer powerful insight. Yang here presents a broad range of fundamental topics in theoretical and mathematical physics based on the viewpoint of differential equations.

Free Download Graphic Anaesthesia, second edition
by Hooper, Tim;Nickells, James;Payne, Sonja;Pearson, Annabel;Walton, Ben;
English | 2023 | ISBN: 1914961307 | 303 pages | True PDF | 51.93 MB
Graphic Anaesthesia is a compendium of the diagrams, graphs, equations and tables needed in anaesthetic practice.

Free Download Delay Ordinary and Partial Differential Equations
by Andrei D. Polyanin
English | 2023 | ISBN: 0367486911 | 434 pages | True PDF | 5.14 MB
Delay Ordinary and Partial Differential Equations is devoted to linear and nonlinear ordinary and partial differential equations with constant and variable delay. It considers qualitative features of delay differential equations and formulates typical problem statements. Exact, approximate analytical and numerical methods for solving such equations are described, including the method of steps, methods of integral transformations, method of regular expansion in a small parameter, method of matched asymptotic expansions, iteration-type methods, Adomian decomposition method, collocation method, Galerkin-type projection methods, Euler and Runge-Kutta methods, shooting method, method of lines, finite-difference methods for PDEs, methods of generalized and functional separation of variables, method of functional constraints, method of generating equations, and more. The presentation of the theoretical material is accompanied by examples of the practical application of methods to obtain the desired solutions. Exact solutions are constructed for many nonlinear delay reaction-diffusion and wave-type PDEs that depend on one or more arbitrary functions. A review is given of the most common mathematical models with delay used in population theory, biology, medicine, economics, and other applications. The book contains much new material previously unpublished in monographs. It is intended for a broad audience of scientists, university professors, and graduate and postgraduate students specializing in applied and computational mathematics, mathematical physics, mechanics, control theory, biology, medicine, chemical technology, ecology, economics, and other disciplines. Individual sections of the book and examples are suitable for lecture courses on applied mathematics, mathematical physics, and differential equations for delivering special courses and for practical training.