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Introductory Differential Equations

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An Introduction to Differential Equations and Their Applications

An Introduction to Differential Equations and Their Applications Book
Author : Stanley J. Farlow
Publisher : Courier Corporation
Release : 2012-10-23
ISBN : 0486135136
Language : En, Es, Fr & De

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Book Description :

This introductory text explores 1st- and 2nd-order differential equations, series solutions, the Laplace transform, difference equations, much more. Numerous figures, problems with solutions, notes. 1994 edition. Includes 268 figures and 23 tables.

An Introduction to Ordinary Differential Equations

An Introduction to Ordinary Differential Equations Book
Author : James C. Robinson
Publisher : Cambridge University Press
Release : 2004-01-08
ISBN : 9780521533911
Language : En, Es, Fr & De

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Book Description :

A first course in ordinary differential equations for mathematicians, scientists and engineers. Solutions are provided.

Introduction to Linear Algebra and Differential Equations

Introduction to Linear Algebra and Differential Equations Book
Author : John W. Dettman
Publisher : Courier Corporation
Release : 2012-10-05
ISBN : 0486158314
Language : En, Es, Fr & De

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Book Description :

Excellent introductory text focuses on complex numbers, determinants, orthonormal bases, symmetric and hermitian matrices, first order non-linear equations, linear differential equations, Laplace transforms, Bessel functions, more. Includes 48 black-and-white illustrations. Exercises with solutions. Index.

Introduction to Differential Equations

Introduction to Differential Equations Book
Author : Michael Eugene Taylor
Publisher : American Mathematical Soc.
Release : 2011
ISBN : 082185271X
Language : En, Es, Fr & De

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Book Description :

The mathematical formulations of problems in physics, economics, biology, and other sciences are usually embodied in differential equations. The analysis of the resulting equations then provides new insight into the original problems. This book describes the tools for performing that analysis. The first chapter treats single differential equations, emphasizing linear and nonlinear first order equations, linear second order equations, and a class of nonlinear second order equations arising from Newton's laws. The first order linear theory starts with a self-contained presentation of the exponential and trigonometric functions, which plays a central role in the subsequent development of this chapter. Chapter 2 provides a mini-course on linear algebra, giving detailed treatments of linear transformations, determinants and invertibility, eigenvalues and eigenvectors, and generalized eigenvectors. This treatment is more detailed than that in most differential equations texts, and provides a solid foundation for the next two chapters. Chapter 3 studies linear systems of differential equations. It starts with the matrix exponential, melding material from Chapters 1 and 2, and uses this exponential as a key tool in the linear theory. Chapter 4 deals with nonlinear systems of differential equations. This uses all the material developed in the first three chapters and moves it to a deeper level. The chapter includes theoretical studies, such as the fundamental existence and uniqueness theorem, but also has numerous examples, arising from Newtonian physics, mathematical biology, electrical circuits, and geometrical problems. These studies bring in variational methods, a fertile source of nonlinear systems of differential equations. The reader who works through this book will be well prepared for advanced studies in dynamical systems, mathematical physics, and partial differential equations.

An Introduction to Ordinary Differential Equations

An Introduction to Ordinary Differential Equations Book
Author : Earl A. Coddington
Publisher : Courier Corporation
Release : 1989-01-01
ISBN : 9780486659428
Language : En, Es, Fr & De

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Book Description :

A thorough and systematic first course in elementary differential equations for undergraduates in mathematics and science, with many exercises and problems (with answers).

Introduction to Partial Differential Equations with Applications

Introduction to Partial Differential Equations with Applications Book
Author : E. C. Zachmanoglou,Dale W. Thoe
Publisher : Courier Corporation
Release : 1986
ISBN : 0486652513
Language : En, Es, Fr & De

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Book Description :

This text explores the essentials of partial differential equations as applied to engineering and the physical sciences. Discusses ordinary differential equations, integral curves and surfaces of vector fields, the Cauchy-Kovalevsky theory, more. Problems and answers.

Schaum s Outline of Modern Introductory Differential Equations

Schaum s Outline of Modern Introductory Differential Equations Book
Author : Richard Bronson
Publisher : McGraw-Hill Companies
Release : 1973
ISBN : 0987650XXX
Language : En, Es, Fr & De

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Book Description :

This work considers differential equations, dealing with first-order, second-order and linear differential equations. It contains 409 solved problems to test comprehension.

Introductory Course In Differential Equations

Introductory Course In Differential Equations Book
Author : D.A. Murray
Publisher : Orient Blackswan
Release : 1967
ISBN : 9788125013556
Language : En, Es, Fr & De

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Book Description :

A Brief Exposition Of Some Of The Devices Employed In Solving Differential Equations, The Book Is Designed For Undergraduate Students Of Physics And Engineering, And Students Who Intend To Study Higher Mathematics.

Introductory Differential Equations

Introductory Differential Equations Book
Author : Martha L. Abell,James P. Braselton
Publisher : Unknown
Release : 2014
ISBN : 9780124172197
Language : En, Es, Fr & De

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Book Description :

This text is for courses that are typically called (Introductory) Differential Equations, (Introductory) Partial Differential Equations, Applied Mathematics, and Fourier Series. Differential Equations is a text that follows a traditional approach and is appropriate for a first course in ordinary differential equations (including Laplace transforms) and a second course in Fourier series and boundary value problems. Some schools might prefer to move the Laplace transform material to the second course, which is why we have placed the chapter on Laplace transforms in its location in the text. Ancillaries like Differential Equations with Mathematica and/or Differential Equations with Maple would be recommended and/or required ancillaries. Because many students need a lot of pencil-and-paper practice to master the essential concepts, the exercise sets are particularly comprehensive with a wide range of exercises ranging from straightforward to challenging. Many different majors will require differential equations and applied mathematics, so there should be a lot of interest in an intro-level text like this. The accessible writing style will be good for non-math students, as well as for undergrad classes. Provides the foundations to assist students in learning how to read and understand the subject, but also helps students in learning how to read technical material in more advanced texts as they progress through their studies. Exercise sets are particularly comprehensive with a wide range of exercises ranging from straightforward to challenging. Includes new applications and extended projects made relevant to "everyday life" through the use of examples in a broad range of contexts. Accessible approach with applied examples and will be good for non-math students, as well as for undergrad classes.

Introduction to Ordinary Differential Equations

Introduction to Ordinary Differential Equations Book
Author : Shepley L. Ross
Publisher : John Wiley & Sons Incorporated
Release : 1989
ISBN : 0987650XXX
Language : En, Es, Fr & De

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Book Description :

The Fourth Edition of the best-selling text on the basic concepts, theory, methods, and applications of ordinary differential equations retains the clear, detailed style of the first three editions. Includes new material on matrix methods, numerical methods, the Laplace transform, and an appendix on polynomial equations. Stresses fundamental methods, and features traditional applications and brief introductions to the underlying theory.

An Introduction To Differential Equations With Applications

An Introduction To Differential Equations With Applications Book
Author : Harold Cohen,Daniel Gallup
Publisher : World Scientific
Release : 2020-07-28
ISBN : 9813276673
Language : En, Es, Fr & De

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Book Description :

This book is for students in a first course in ordinary differential equations. The material is organized so that the presentations begin at a reasonably introductory level. Subsequent material is developed from this beginning. As such, readers with little experience can start at a lower level, while those with some experience can use the beginning material as a review, or skip this part to proceed to the next level.The book contains methods of approximation to solutions of various types of differential equations with practical applications, which will serve as a guide to programming so that such differential equations can be solved numerically with the use of a computer. Students who intend to pursue a major in engineering, physical sciences, or mathematics will find this book useful.

Introduction to Computation and Modeling for Differential Equations

Introduction to Computation and Modeling for Differential Equations Book
Author : Lennart Edsberg
Publisher : John Wiley & Sons
Release : 2015-10-05
ISBN : 1119018447
Language : En, Es, Fr & De

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Book Description :

Uses mathematical, numerical, and programming tools to solve differential equations for physical phenomena and engineering problems Introduction to Computation and Modeling for Differential Equations, Second Edition features the essential principles and applications of problem solving across disciplines such as engineering, physics, and chemistry. The Second Edition integrates the science of solving differential equations with mathematical, numerical, and programming tools, specifically with methods involving ordinary differential equations; numerical methods for initial value problems (IVPs); numerical methods for boundary value problems (BVPs); partial differential equations (PDEs); numerical methods for parabolic, elliptic, and hyperbolic PDEs; mathematical modeling with differential equations; numerical solutions; and finite difference and finite element methods. The author features a unique “Five-M” approach: Modeling, Mathematics, Methods, MATLAB®, and Multiphysics, which facilitates a thorough understanding of how models are created and preprocessed mathematically with scaling, classification, and approximation and also demonstrates how a problem is solved numerically using the appropriate mathematical methods. With numerous real-world examples to aid in the visualization of the solutions, Introduction to Computation and Modeling for Differential Equations, Second Edition includes: New sections on topics including variational formulation, the finite element method, examples of discretization, ansatz methods such as Galerkin’s method for BVPs, parabolic and elliptic PDEs, and finite volume methods Numerous practical examples with applications in mechanics, fluid dynamics, solid mechanics, chemical engineering, heat conduction, electromagnetic field theory, and control theory, some of which are solved with computer programs MATLAB and COMSOL Multiphysics® Additional exercises that introduce new methods, projects, and problems to further illustrate possible applications A related website with select solutions to the exercises, as well as the MATLAB data sets for ordinary differential equations (ODEs) and PDEs Introduction to Computation and Modeling for Differential Equations, Second Edition is a useful textbook for upper-undergraduate and graduate-level courses in scientific computing, differential equations, ordinary differential equations, partial differential equations, and numerical methods. The book is also an excellent self-study guide for mathematics, science, computer science, physics, and engineering students, as well as an excellent reference for practitioners and consultants who use differential equations and numerical methods in everyday situations.

Differential Equations

Differential Equations Book
Author : Shair Ahmad,Antonio Ambrosetti
Publisher : Walter de Gruyter GmbH & Co KG
Release : 2019-10-08
ISBN : 3110652862
Language : En, Es, Fr & De

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Book Description :

This book is mainly intended as a textbook for students at the Sophomore-Junior level, majoring in mathematics, engineering, or the sciences in general. The book includes the basic topics in Ordinary Differential Equations, normally taught in an undergraduate class, as linear and nonlinear equations and systems, Bessel functions, Laplace transform, stability, etc. It is written with ample exibility to make it appropriate either as a course stressing applications, or a course stressing rigor and analytical thinking. This book also offers sufficient material for a one-semester graduate course, covering topics such as phase plane analysis, oscillation, Sturm-Liouville equations, Euler-Lagrange equations in Calculus of Variations, first and second order linear PDE in 2D. There are substantial lists of exercises at the ends of chapters. A solutions manual, containing complete and detailed solutions to all the exercises in the book, is available to instructors who adopt the book for teaching their classes.

Introduction to Ordinary Differential Equations

Introduction to Ordinary Differential Equations Book
Author : Albert L. Rabenstein
Publisher : Unknown
Release : 1972
ISBN : 0987650XXX
Language : En, Es, Fr & De

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Book Description :

Download Introduction to Ordinary Differential Equations book written by Albert L. Rabenstein, available in PDF, EPUB, and Kindle, or read full book online anywhere and anytime. Compatible with any devices.

Introduction to Differential Equations

Introduction to Differential Equations Book
Author : Richard E. Williamson
Publisher : Prentice Hall
Release : 1986
ISBN : 0987650XXX
Language : En, Es, Fr & De

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Book Description :

Download Introduction to Differential Equations book written by Richard E. Williamson, available in PDF, EPUB, and Kindle, or read full book online anywhere and anytime. Compatible with any devices.

Introduction to Partial Differential Equations

Introduction to Partial Differential Equations Book
Author : Peter Olver
Publisher : Springer
Release : 2013-11-20
ISBN : 9783319020983
Language : En, Es, Fr & De

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Book Description :

This textbook is designed for a one year course covering the fundamentals of partial differential equations, geared towards advanced undergraduates and beginning graduate students in mathematics, science, engineering, and elsewhere. The exposition carefully balances solution techniques, mathematical rigor, and significant applications, all illustrated by numerous examples. Extensive exercise sets appear at the end of almost every subsection, and include straightforward computational problems to develop and reinforce new techniques and results, details on theoretical developments and proofs, challenging projects both computational and conceptual, and supplementary material that motivates the student to delve further into the subject. No previous experience with the subject of partial differential equations or Fourier theory is assumed, the main prerequisites being undergraduate calculus, both one- and multi-variable, ordinary differential equations, and basic linear algebra. While the classical topics of separation of variables, Fourier analysis, boundary value problems, Green's functions, and special functions continue to form the core of an introductory course, the inclusion of nonlinear equations, shock wave dynamics, symmetry and similarity, the Maximum Principle, financial models, dispersion and solitons, Huygens'. Principle, quantum mechanical systems, and more make this text well attuned to recent developments and trends in this active field of contemporary research. Numerical approximation schemes are an important component of any introductory course, and the text covers the two most basic approaches: finite differences and finite elements. Peter J. Olver is professor of mathematics at the University of Minnesota. His wide-ranging research interests are centered on the development of symmetry-based methods for differential equations and their manifold applications. He is the author of over 130 papers published in major scientific research journals as well as 4 other books, including the definitive Springer graduate text, Applications of Lie Groups to Differential Equations, and another undergraduate text, Applied Linear Algebra. A Solutions Manual for instrucors is available by clicking on "Selected Solutions Manual" under the Additional Information section on the right-hand side of this page.

An Introduction to Partial Differential Equations

An Introduction to Partial Differential Equations Book
Author : Yehuda Pinchover,Jacob Rubinstein
Publisher : Cambridge University Press
Release : 2005-05-12
ISBN : 9780521613231
Language : En, Es, Fr & De

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Book Description :

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 mathematical physics from basic principles, the book studies first order equations, classification of second order equations, and the one-dimensional wave equation. Two chapters are devoted to the separation of variables, whilst others concentrate on a wide range of topics including elliptic theory, Green's functions, variational and numerical methods. A rich collection of worked examples and exercises accompany the text, along with a large number of illustrations and graphs to provide insight into the numerical examples. Solutions to selected exercises are included for students and extended solution sets are available to lecturers from [email protected]

An Introduction to Stochastic Differential Equations

An Introduction to Stochastic Differential Equations Book
Author : Lawrence C. Evans
Publisher : American Mathematical Soc.
Release : 2012-12-11
ISBN : 1470410540
Language : En, Es, Fr & De

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Book Description :

These notes provide a concise introduction to stochastic differential equations and their application to the study of financial markets and as a basis for modeling diverse physical phenomena. They are accessible to non-specialists and make a valuable addition to the collection of texts on the topic. --Srinivasa Varadhan, New York University This is a handy and very useful text for studying stochastic differential equations. There is enough mathematical detail so that the reader can benefit from this introduction with only a basic background in mathematical analysis and probability. --George Papanicolaou, Stanford University This book covers the most important elementary facts regarding stochastic differential equations; it also describes some of the applications to partial differential equations, optimal stopping, and options pricing. The book's style is intuitive rather than formal, and emphasis is made on clarity. This book will be very helpful to starting graduate students and strong undergraduates as well as to others who want to gain knowledge of stochastic differential equations. I recommend this book enthusiastically. --Alexander Lipton, Mathematical Finance Executive, Bank of America Merrill Lynch This short book provides a quick, but very readable introduction to stochastic differential equations, that is, to differential equations subject to additive ``white noise'' and related random disturbances. The exposition is concise and strongly focused upon the interplay between probabilistic intuition and mathematical rigor. Topics include a quick survey of measure theoretic probability theory, followed by an introduction to Brownian motion and the Ito stochastic calculus, and finally the theory of stochastic differential equations. The text also includes applications to partial differential equations, optimal stopping problems and options pricing. This book can be used as a text for senior undergraduates or beginning graduate students in mathematics, applied mathematics, physics, financial mathematics, etc., who want to learn the basics of stochastic differential equations. The reader is assumed to be fairly familiar with measure theoretic mathematical analysis, but is not assumed to have any particular knowledge of probability theory (which is rapidly developed in Chapter 2 of the book).