Differential Equations Description: 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
Publisher : Cambridge University Press
ISBN-13 : 0521366895
Copyright Year : 1989
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Ordinary Differential Equations Description: 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
Publisher : Springer Science & Business Media
ISBN-13 : 3540548130
Copyright Year : 1992-05-08
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Ordinary Differential Equations Description: This rigorous treatment prepares readers for the study of differential equations and shows them how to research current literature. It emphasizes nonlinear problems and specific analytical methods. 1969 edition.


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Genre : Mathematics
Publisher : Courier Corporation
ISBN-13 : 9780486472119
Copyright Year : 2009-01-01
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Publisher : Krishna Prakashan Media
ISBN-13 :
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Differential Equations Description: 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
Publisher : Atlantic Publishers & Dist
ISBN-13 : 8126905816
Copyright Year : 2006
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Ordinary Differential Equations Description: 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
Publisher : Universal-Publishers
ISBN-13 : 9781599429755
Copyright Year : 2008
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Genre :
Publisher : Sarup & Sons
ISBN-13 : 8176253804
Copyright Year : 2003
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File Download/Read : 490
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Ordinary Differential Equations Description: Ordinary Differential Equations covers the fundamentals of the theory of ordinary differential equations (ODEs), including an extensive discussion of the integration of differential inequalities, on which this theory relies heavily. In addition to these results, the text illustrates techniques involving simple topological arguments, fixed point theorems, and basic facts of functional analysis. Unlike many texts, which supply only the standard simplified theorems, this book presents the basic theory of ODEs in a general way. This SIAM reissue of the 1982 second edition covers invariant manifolds, perturbations, and dichotomies, making the text relevant to current studies of geometrical theory of differential equations and dynamical systems. In particular, Ordinary Differential Equations includes the proof of the Hartman-Grobman theorem on the equivalence of a nonlinear to a linear flow in the neighborhood of a hyperbolic stationary point, as well as theorems on smooth equivalences, the smoothness of invariant manifolds, and the reduction of problems on ODEs to those on "maps" (Poincaré). Audience: readers should have knowledge of matrix theory and the ability to deal with functions of real variables.


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Genre : Mathematics
Publisher : SIAM
ISBN-13 : 0898719224
Copyright Year : 1982-01-01
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A Text Book Of Differential Equations Description: 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
Publisher : Pitambar Publishing
ISBN-13 : 812090012X
Copyright Year : 1997
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Differential Equations Description: This practical, concise teaching text by a noted educator covers the essential background for advanced courses in mathematical analysis. Topics include the existence and uniqueness theorem, behavior of characteristics of a first-order equation, boundary problems for second-order linear equations, asymptotic methods, and differential equations in the complex field. 1961 edition.


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Genre : Mathematics
Publisher : Courier Corporation
ISBN-13 : 9780486488196
Copyright Year : 2012-06
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File Download/Read : 273
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