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Few books on Ordinary Differential Equations (ODEs) have the elegant geometric insight of this one, which puts emphasis on the qualitative and geometric properties of ODEs and their solutions, rather than on routine presentation of algorithms. From the reviews: "Professor Arnold has expanded his classic book to include new material on exponential growth, predator-prey, the pendulum, impulse response, symmetry groups and group actions, perturbation and bifurcation." --SIAM REVIEW

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Genre: Mathematics
Author: Vladimir I. Arnold
Publisher: Springer Science & Business Media
Release: 1992-05-08
File: 338 Pages
ISBN-13: 3540548130

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In many branches of physics, mathematics, and engineering, solving a problem means solving a set of ordinary or partial differential equations. Nearly all methods of constructing closed form solutions rely on symmetries. The emphasis in this text is on how to find and use the symmetries; this is supported by many examples and more than 100 exercises. This book will form an introduction accessible to beginning graduate students in physics, applied mathematics, and engineering. Advanced graduate students and researchers in these disciplines will find the book a valuable reference.

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Genre: Mathematics
Author: Hans Stephani
Publisher: Cambridge University Press
Release: 1989
File: 260 Pages
ISBN-13: 0521366895

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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.

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Genre: Mathematics
Author: Morris Tenenbaum
Publisher: Courier Corporation
Release: 1963
File: 808 Pages
ISBN-13: 9780486649405

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The Present Book Differential Equations Provides A Detailed Account Of The Equations Of First Order And The First Degree, Singular Solutions And Orthogonal Trajectories, Linear Differential Equations With Constant Coefficients And Other Miscellaneous Differential Equations.It Is Primarily Designed For B.Sc And B.A. Courses, Elucidating All The Fundamental Concepts In A Manner That Leaves No Scope For Illusion Or Confusion. The Numerous High-Graded Solved Examples Provided In The Book Have Been Mainly Taken From The Authoritative Textbooks And Question Papers Of Various University And Competitive Examinations Which Will Facilitate Easy Understanding Of The Various Skills Necessary In Solving The Problems. In Addition, These Examples Will Acquaint The Readers With The Type Of Questions Usually Set At The Examinations. Furthermore, Practice Exercises Of Multiple Varieties Have Also Been Given, Believing That They Will Help In Quick Revision And In Gaining Confidence In The Understanding Of The Subject. Answers To These Questions Have Been Verified Thoroughly. It Is Hoped That A Thorough Study Of This Book Would Enable The Students Of Mathematics To Secure High Marks In The Examinations. Besides Students, The Teachers Of The Subject Would Also Find It Useful In Elucidating Concepts To The Students By Following A Number Of Possible Tracks Suggested In The Book.

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Genre: Differential equations
Author: Hari Kishan
Publisher: Atlantic Publishers & Dist
Release: 2006
File: 224 Pages
ISBN-13: 8126905816

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Genre:
Author:
Publisher: Krishna Prakashan Media
Release:
File: Pages
ISBN-13:

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This introductory course in ordinary differential equations, intended for junior undergraduate students in applied mathematics, science and engineering, focuses on methods of solution and applications rather than theoretical analyses. Applications drawn mainly from dynamics, population biology and electric circuit theory are used to show how ordinary differential equations appear in the formulation of problems in science and engineering. The calculus required to comprehend this course is rather elementary, involving differentiation, integration and power series representation of only real functions of one variable. A basic knowledge of complex numbers and their arithmetic is also assumed, so that elementary complex functions which can be used for working out easily the general solutions of certain ordinary differential equations can be introduced. The pre-requisites just mentioned aside, the course is mainly self-contained. To promote the use of this course for self-study, suggested solutions are not only given to all set exercises, but they are also by and large complete with details.

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Genre: Mathematics
Author: W. T. Ang
Publisher: Universal-Publishers
Release: 2008
File: 204 Pages
ISBN-13: 9781599429755

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Genre:
Author: K S Rawat
Publisher: Sarup & Sons
Release: 2003
File: 490 Pages
ISBN-13: 8176253804

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An Integral Part Of College Mathematics, Finds Application In Diverse Areas Of Science And Enginnering. This Book Covers The Subject Of Ordinary And Partial Differential Equations In Detail. There Are Ninteeen Chapters And Eight Appendices Covering Diverse Topics Including Numerical Solution Of First Order Equations, Existence Theorem, Solution In Series, Detailed Study Of Partial Differential Equations Of Second Order Etc. This Book Fully Covers The Latest Requirement Of Graduage And Postgraduate Courses.

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Genre: Differential equations
Author: N. M. Kapoor
Publisher: Pitambar Publishing
Release: 1997
File: 628 Pages
ISBN-13: 812090012X

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Incorporating a modeling approach throughout, this exciting text emphasizes concepts and shows that the study of differential equations is a beautiful application of the ideas and techniques of calculus to everyday life. By taking advantage of readily available technology, the authors eliminate most of the specialized techniques for deriving formulas for solutions found in traditional texts and replace them with topics that focus on the formulation of differential equations and the interpretations of their solutions. Students will generally attack a given equation from three different points of view to obtain an understanding of the solutions: qualitative, numeric, and analytic. Since many of the most important differential equations are nonlinear, students learn that numerical and qualitative techniques are more effective than analytic techniques in this setting. Overall, students discover how to identify and work effectively with the mathematics in everyday life, and they learn how to express the fundamental principles that govern many phenomena in the language of differential equations.

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Genre: Mathematics
Author: Paul Blanchard
Publisher: Thomson Brooks/Cole
Release: 2006
File: 828 Pages
ISBN-13: 0495012653

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Based on a translation of the 6th edition of Gewöhnliche Differentialgleichungen by Wolfgang Walter, this edition includes additional treatments of important subjects not found in the German text as well as material that is seldom found in textbooks, such as new proofs for basic theorems. This unique feature of the book calls for a closer look at contents and methods with an emphasis on subjects outside the mainstream. Exercises, which range from routine to demanding, are dispersed throughout the text and some include an outline of the solution. Applications from mechanics to mathematical biology are included and solutions of selected exercises are found at the end of the book. It is suitable for mathematics, physics, and computer science graduate students to be used as collateral reading and as a reference source for mathematicians. Readers should have a sound knowledge of infinitesimal calculus and be familiar with basic notions from linear algebra; functional analysis is developed in the text when needed.

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Genre: Mathematics
Author: Wolfgang Walter
Publisher: Springer Science & Business Media
Release: 2013-03-11
File: 384 Pages
ISBN-13: 9781461206019

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