Ordinary Differential Equations

Ordinary Differential Equations
Available:
Author: Morris Tenenbaum,Harry Pollard
Pages: 808
ISBN: 9780486649405
Release: 1963
Editor: Courier Corporation

DESCRIPTION OF THE BOOK:

Skillfully organized introductory text examines origin of differential equations, then defines basic terms and outlines the general solution of a differential equation. Subsequent sections deal with integrating factors; dilution and accretion problems; linearization of first order systems; Laplace Transforms; Newton's Interpolation Formulas, more.

Differential Equations with Applications and Historical Notes

Differential Equations with Applications and Historical Notes
Available:
Author: George F. Simmons
Pages: 764
ISBN: 9781498702607
Release: 2016-11-17
Editor: CRC Press

DESCRIPTION OF THE BOOK:

Fads are as common in mathematics as in any other human activity, and it is always difficult to separate the enduring from the ephemeral in the achievements of one’s own time. An unfortunate effect of the predominance of fads is that if a student doesn’t learn about such worthwhile topics as the wave equation, Gauss’s hypergeometric function, the gamma function, and the basic problems of the calculus of variations—among others—as an undergraduate, then he/she is unlikely to do so later. The natural place for an informal acquaintance with such ideas is a leisurely introductory course on differential equations. Specially designed for just such a course, Differential Equations with Applications and Historical Notes takes great pleasure in the journey into the world of differential equations and their wide range of applications. The author—a highly respected educator—advocates a careful approach, using explicit explanation to ensure students fully comprehend the subject matter. With an emphasis on modeling and applications, the long-awaited Third Edition of this classic textbook presents a substantial new section on Gauss’s bell curve and improves coverage of Fourier analysis, numerical methods, and linear algebra. Relating the development of mathematics to human activity—i.e., identifying why and how mathematics is used—the text includes a wealth of unique examples and exercises, as well as the author’s distinctive historical notes, throughout. Provides an ideal text for a one- or two-semester introductory course on differential equations Emphasizes modeling and applications Presents a substantial new section on Gauss’s bell curve Improves coverage of Fourier analysis, numerical methods, and linear algebra Relates the development of mathematics to human activity—i.e., identifying why and how mathematics is used Includes a wealth of unique examples and exercises, as well as the author’s distinctive historical notes, throughout Uses explicit explanation to ensure students fully comprehend the subject matter Outstanding Academic Title of the Year, Choice magazine, American Library Association.

Elementary Differential Equations

Elementary Differential Equations
Available:
Author: William E. Boyce,Richard C. DiPrima
Pages: 656
ISBN: 047003940X
Release: 2008-10-27
Editor: Wiley

DESCRIPTION OF THE BOOK:

Written from the perspective of the applied mathematician, the latest edition of this bestselling book focuses on the theory and practical applications of Differential Equations to engineering and the sciences. Emphasis is placed on the methods of solution, analysis, and approximation. Use of technology, illustrations, and problem sets help readers develop an intuitive understanding of the material. Historical footnotes trace the development of the discipline and identify outstanding individual contributions. This book builds the foundation for anyone who needs to learn differential equations and then progress to more advanced studies.

The Theory of Differential Equations

The Theory of Differential Equations
Available:
Author: Walter G. Kelley,Allan C. Peterson
Pages: 423
ISBN: 9781441957825
Release: 2010-04-22
Editor: Springer Science & Business Media

DESCRIPTION OF THE BOOK:

For over 300 years, differential equations have served as an essential tool for describing and analyzing problems in many scientific disciplines. This carefully-written textbook provides an introduction to many of the important topics associated with ordinary differential equations. Unlike most textbooks on the subject, this text includes nonstandard topics such as perturbation methods and differential equations and Mathematica. In addition to the nonstandard topics, this text also contains contemporary material in the area as well as its classical topics. This second edition is updated to be compatible with Mathematica, version 7.0. It also provides 81 additional exercises, a new section in Chapter 1 on the generalized logistic equation, an additional theorem in Chapter 2 concerning fundamental matrices, and many more other enhancements to the first edition. This book can be used either for a second course in ordinary differential equations or as an introductory course for well-prepared students. The prerequisites for this book are three semesters of calculus and a course in linear algebra, although the needed concepts from linear algebra are introduced along with examples in the book. An undergraduate course in analysis is needed for the more theoretical subjects covered in the final two chapters.

Ordinary Differential Equations and Applications

Ordinary Differential Equations and Applications
Available:
Author: W S Weiglhofer,K A Lindsay
Pages: 216
ISBN: 9780857099730
Release: 1999-06-01
Editor: Elsevier

DESCRIPTION OF THE BOOK:

This introductory text presents ordinary differential equations with a modern approach to mathematical modelling in a one semester module of 20–25 lectures. Presents ordinary differential equations with a modern approach to mathematical modelling Discusses linear differential equations of second order, miscellaneous solution techniques, oscillatory motion and laplace transform, among other topics Includes self-study projects and extended tutorial solutions

An Introduction to Differential Equations and Their Applications

An Introduction to Differential Equations and Their Applications
Available:
Author: Stanley J. Farlow
Pages: 609
ISBN: 9780486445953
Release: 2006-03-11
Editor: Courier Corporation

DESCRIPTION OF THE BOOK:

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
Available:
Author: Earl A. Coddington
Pages: 292
ISBN: 0486659429
Release: 1961
Editor: Dover Books on Mathematics

DESCRIPTION OF THE BOOK:

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

Notes on Diffy Qs

Notes on Diffy Qs
Available:
Author: Jiri Lebl
Pages: 468
ISBN: 1706230230
Release: 2019-11-13
Editor: Unknown

DESCRIPTION OF THE BOOK:

Version 6.0. An introductory course on differential equations aimed at engineers. The book covers first order ODEs, higher order linear ODEs, systems of ODEs, Fourier series and PDEs, eigenvalue problems, the Laplace transform, and power series methods. It has a detailed appendix on linear algebra. The book was developed and used to teach Math 286/285 at the University of Illinois at Urbana-Champaign, and in the decade since, it has been used in many classrooms, ranging from small community colleges to large public research universities. See https: //www.jirka.org/diffyqs/ for more information, updates, errata, and a list of classroom adoptions.

Partial Differential Equations for Scientists and Engineers

Partial Differential Equations for Scientists and Engineers
Available:
Author: Stanley J. Farlow
Pages: 414
ISBN: 9780486676203
Release: 1993
Editor: Courier Corporation

DESCRIPTION OF THE BOOK:

This highly useful text shows the reader how to formulate a partial differential equation from the physical problem and how to solve the equation.

Markov Processes and Differential Equations

Markov Processes and Differential Equations
Available:
Author: Mark I. Freidlin
Pages: 154
ISBN: 3764353929
Release: 1996-03-28
Editor: Springer Science & Business Media

DESCRIPTION OF THE BOOK:

Probabilistic methods can be applied very successfully to a number of asymptotic problems for second-order linear and non-linear partial differential equations. Due to the close connection between the second order differential operators with a non-negative characteristic form on the one hand and Markov processes on the other, many problems in PDE's can be reformulated as problems for corresponding stochastic processes and vice versa. In the present book four classes of problems are considered: - the Dirichlet problem with a small parameter in higher derivatives for differential equations and systems - the averaging principle for stochastic processes and PDE's - homogenization in PDE's and in stochastic processes - wave front propagation for semilinear differential equations and systems. From the probabilistic point of view, the first two topics concern random perturbations of dynamical systems. The third topic, homog- enization, is a natural problem for stochastic processes as well as for PDE's. Wave fronts in semilinear PDE's are interesting examples of pattern formation in reaction-diffusion equations. The text presents new results in probability theory and their applica- tion to the above problems. Various examples help the reader to understand the effects. Prerequisites are knowledge in probability theory and in partial differential equations.

Introduction to Partial Differential Equations

Introduction to Partial Differential Equations
Available:
Author: G. B. Folland
Pages: 324
ISBN: 0691043612
Release: 1995-11-04
Editor: Princeton University Press

DESCRIPTION OF THE BOOK:

The aim of this text is to aquaint the student with the fundamental classical results of partial differential equations and to guide them into some of the modern theory, enabling them to read more advanced works on the subject.

Partial Differential Equations of Mathematical Physics

Partial Differential Equations of Mathematical Physics
Available:
Author: S. L. Sobolev
Pages: 427
ISBN: 048665964X
Release: 1964-01-01
Editor: Courier Corporation

DESCRIPTION OF THE BOOK:

This volume presents an unusually accessible introduction to equations fundamental to the investigation of waves, heat conduction, hydrodynamics, and other physical problems. Topics include derivation of fundamental equations, Riemann method, equation of heat conduction, theory of integral equations, Green's function, and much more. The only prerequisite is a familiarity with elementary analysis. 1964 edition.

Ordinary Differential Equations

Ordinary Differential Equations
Available:
Author: Edward L. Ince
Pages: 558
ISBN: 9780486603490
Release: 1956-01-01
Editor: Courier Corporation

DESCRIPTION OF THE BOOK:

Among the topics covered in this classic treatment are linear differential equations; solution in an infinite form; solution by definite integrals; algebraic theory; Sturmian theory and its later developments; further developments in the theory of boundary problems; existence theorems, equations of first order; nonlinear equations of higher order; more. "Highly recommended" — Electronics Industries.

An Introduction to Stochastic Differential Equations

An Introduction to Stochastic Differential Equations
Available:
Author: Lawrence C. Evans
Pages: 151
ISBN: 9781470410544
Release: 2012-12-11
Editor: American Mathematical Soc.

DESCRIPTION OF THE BOOK:

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).

Differential Equations with Symbolic Computation

Differential Equations with Symbolic Computation
Available:
Author: Dongming Wang,Zhiming Zheng
Pages: 374
ISBN: 3764373687
Release: 2005-08-15
Editor: Springer Science & Business Media

DESCRIPTION OF THE BOOK:

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.

Elementary Differential Equations

Elementary Differential Equations
Available:
Author: Kenneth Kuttler
Pages: 574
ISBN: 9781351727266
Release: 2017-11-20
Editor: CRC Press

DESCRIPTION OF THE BOOK:

Elementary Differential Equations presents the standard material in a first course on di?erential equations, including all standard methods which have been a part of the subject since the time of Newton and the Bernoulli brothers. The emphasis in this book is on theory and methods and di?erential equations as a part of analysis. Di?erential equations is worth studying, rather than merely some recipes to be used in physical science. The text gives substantial emphasis to methods which are generally presented ?rst with theoretical considerations following. Essentially all proofs of the theorems used are included, making the book more useful as a reference. The book mentions the main computer algebra systems, yet the emphasis is placed on MATLAB and numerical methods which include graphing the solutions and obtaining tables of values. Featured applications are easily understood. Complete explanations of the mathematics and emphasis on methods for ?nding solutions are included.

Elementary Differential Equations with Boundary Value Problems

Elementary Differential Equations with Boundary Value Problems
Available:
Author: William Trench
Pages: 288
ISBN: 0534360904
Release: 2001
Editor: Brooks/Cole Publishing Company

DESCRIPTION OF THE BOOK:

This Student Solutions Manual provides worked solutions to the even-numbered problems, along with a free CD-ROM that contains selected problems from the book and solves them using Maple. The CD contains the Maple kernal.

Symmetries of Integro Differential Equations

Symmetries of Integro Differential Equations
Available:
Author: Sergey V. Meleshko,Yurii N. Grigoriev,N. Kh. Ibragimov,Vladimir F. Kovalev
Pages: 305
ISBN: 9789048137961
Release: 2010-07-12
Editor: Springer Science & Business Media

DESCRIPTION OF THE BOOK:

This book provides an accessible yet comprehensive description of the application methods of group analysis to integro-differential equations. It offers both fundamental theoretical and algorithmic aspects of these methods and includes instructive examples.

Analytic Methods for Partial Differential Equations

Analytic Methods for Partial Differential Equations
Available:
Author: G. Evans,J. Blackledge,P. Yardley
Pages: 316
ISBN: 3540761241
Release: 1999-11-01
Editor: Springer Science & Business Media

DESCRIPTION OF THE BOOK:

This is the practical introduction to the analytical approach taken in Volume 2. Based upon courses in partial differential equations over the last two decades, the text covers the classic canonical equations, with the method of separation of variables introduced at an early stage. The characteristic method for first order equations acts as an introduction to the classification of second order quasi-linear problems by characteristics. Attention then moves to different co-ordinate systems, primarily those with cylindrical or spherical symmetry. Hence a discussion of special functions arises quite naturally, and in each case the major properties are derived. The next section deals with the use of integral transforms and extensive methods for inverting them, and concludes with links to the use of Fourier series.

Partial Differential Equations

Partial Differential Equations
Available:
Author: Paul Garabedian
Pages: 672
ISBN: 0821813773
Release: 1986
Editor: Courier Corporation

DESCRIPTION OF THE BOOK:

This book is intended to fill the gap between the standard introductory material on partial differential equations: separation of variables, the basics of the second-order equations from mathematical physics and the advanced methods such as Sobolev spaces and fixed point theorems.