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Differential Equations

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- Differential Equations with Symbolic Computations by Dongming Wang (Editor); Zhiming Zheng (Editor) This book presents the state-of-the-art in tackling differential equations using advanced methods and software tools of symbolic computation. It focuses on the symbolic-computational aspects of three kinds of fundamental problems in differential equations: transforming the equations, solving the equations, and studying the structure and properties of their solutions.Call Number: eBookISBN: 9783764374297Publication Date: 2006-03-16
- Symmetry and Integration Methods for Differential Equations by George W. Bluman; Stephen Anco This text discusses Lie groups of transformations and basic symmetry methods for solving ordinary and partial differential equations. It places emphasis on explicit computational algorithms to discover symmetries admitted by differential equations and to construct solutions resulting from symmetries. This new edition covers contact transformations, Lie-B cklund transformations, and adjoints and integrating factors for ODEs of arbitrary order.Call Number: eBookISBN: 9780387986548Publication Date: 2002-07-10
- Numerical Methods for Ordinary Differential Equations by J. C. Butcher This new book updates the exceptionally popular Numerical Analysis of Ordinary Differential Equations. "This book is...an indispensible reference for any researcher."-American Mathematical Society on the First Edition. Features: * New exercises included in each chapter. * Author is widely regarded as the world expert on Runge-Kutta methods * Didactic aspects of the book have been enhanced by interspersing the text with exercises. * Updated Bibliography.Call Number: eBookISBN: 9780470868263Publication Date: 2004-08-20
- Multi-Dimensional Hyperbolic Partial Differential Equations by Sylvie Benzoni-Gavage; D. Serre; Denis Serre Authored by leading scholars, this comprehensive, self-contained text presents a view of the state of the art in multi-dimensional hyperbolic partial differential equations, with a particular emphasis on problems in which modern tools of analysis have proved useful. Ordered in sections of gradually increasing degrees of difficulty, the text first covers linear Cauchy problems and linear initial boundary value problems, before moving on to nonlinear problems, including shock waves. The book finishes with a discussion of the application of hyperbolic PDEs to gas dynamics, culminating with the shock wave analysis for real fluids. With an extensive bibliography including classical and recent papers both in PDE analysis and in applications (mainly to gas dynamics), this text will be valuable to graduates and researchers in both hyperbolic PDEs and compressible fluid dynamics.Call Number: eBookISBN: 9780199211234Publication Date: 2007-01-18

- Differential Equations by A. C. King; S. R. Otto; J. Billingham Finding and interpreting the solutions of differential equations is a central and essential part of applied mathematics. This book aims to enable the reader to develop the required skills needed for a thorough understanding of the subject. The authors focus on the business of constructing solutions analytically, and interpreting their meaning, using rigorous analysis where needed. MATLAB is used extensively to illustrate the material. There are many worked examples based on interesting and unusual real world problems. A large selection of exercises is provided, including several lengthier projects, some of which involve the use of MATLAB. The coverage is broad, ranging from basic second-order ODEs and PDEs, through to techniques for nonlinear differential equations, chaos, asymptotics and control theory. This broad coverage, the authors' clear presentation and the fact that the book has been thoroughly class-tested will increase its attraction to undergraduates at each stage of their studies.Call Number: QA371 .K52 2003 (Deerwood)ISBN: 9780521816588Publication Date: 2003-05-08
- Differential Equations for Dummies by Steven Holzner The fun and easy way to understand and solve complex equations Many of the fundamental laws of physics, chemistry, biology, and economics can be formulated as differential equations. This plain-English guide explores the many applications of this mathematical tool and shows how differential equations can help us understand the world around us. Differential Equations For Dummies is the perfect companion for a college differential equations course and is an ideal supplemental resource for other calculus classes as well as science and engineering courses. It offers step-by-step techniques, practical tips, numerous exercises, and clear, concise examples to help readers improve their differential equation-solving skills and boost their test scores.Call Number: QA371 .H685 2008ISBN: 9780470178140Publication Date: 2008-06-03
- Differential Equations Demystified by Steven G. Krantz Here's the perfect self-teaching guide to help anyone master differential equations--a common stumbling block for students looking to progress to advanced topics in both science and math. Covers First Order Equations, Second Order Equations and Higher, Properties, Solutions, Series Solutions, Fourier Series and Orthogonal Systems, Partial Differential Equations and Boundary Value Problems, Numerical Techniques, and more.Call Number: QA371 .K63 2005 (Downtown)ISBN: 9780071440257Publication Date: 2004-09-14
- Differential Equations by Richard Bronson; Gabriel Costa Thoroughly updated, this edition offers new, faster techniques for solving differential equations generated by the emergence of high-speed computers.Call Number: QA371.32 .B76 2006ISBN: 9780071456876Publication Date: 2006-07-01

Differential equation introduction | First order differential equations | Khan Academy

This playlist has 68 videos on differential equations. The first video introduces this video series from MIT OpenCourseWare.

- LibreTexts Differential EquationsThe Mathematics Library by LibreTexts is an open-access resource offering high-quality educational content in mathematics. It includes textbooks, lecture notes, and interactive modules covering topics from basic arithmetic to advanced theories. This library supports students, educators, and self-learners with free, up-to-date, and customizable materials to enhance mathematical understanding.
- Paul's Online Math Notes - Differential EquationsThis page has quick links and descriptions of notes by the professor for his differential equations class. The notes also contain material from Algebra or Calculus needed for differential equations.
- MIT Open Courseware – Differential EquationsThis site has video lectures, lecture notes, assignments and solutions.
- MathWorld from WolframA free resource from Wolfram Research based on Eric Weissteinn CRC Concise Encyclopedia of Mathematics.
- Differential Equations - Carl StitzThese videos demonstrate how to solve differential equations. They are organized based by quiz or test name but a quick look at the video will show you the problem used in the example.

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