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Ordinary differential equations - the building blocks of mathematical modelling - are also key elements of disciplines as diverse as engineering and economics. While mastery of these equations is essential, adhering to any one method of solving them is not: this book stresses alternative examples and analyses by means of which the student can build an understanding of a number of approaches to finding solutions and understanding their behaviour. This book offers not only an applied perspective for the student learning to solve differential equations, but also the challenge to apply these analytical tools in the context of singular perturbations, which arises in many areas of application. An important resource for the advanced undergradute, this book would be equally useful for the beginning graduate student investigating further approaches to these essential equations.
Book Synopsis Thinking about Ordinary Differential Equations by : Robert E. O'Malley
Download or read book Thinking about Ordinary Differential Equations written by Robert E. O'Malley and published by Cambridge University Press. This book was released on 1997-01-13 with total page 264 pages. Available in PDF, EPUB and Kindle. Book excerpt: Ordinary differential equations - the building blocks of mathematical modelling - are also key elements of disciplines as diverse as engineering and economics. While mastery of these equations is essential, adhering to any one method of solving them is not: this book stresses alternative examples and analyses by means of which the student can build an understanding of a number of approaches to finding solutions and understanding their behaviour. This book offers not only an applied perspective for the student learning to solve differential equations, but also the challenge to apply these analytical tools in the context of singular perturbations, which arises in many areas of application. An important resource for the advanced undergradute, this book would be equally useful for the beginning graduate student investigating further approaches to these essential equations.
While mastery of these equations is essential, adhering to any one method of solving them is not. This book stresses alternative examples and analyses by means of which students can understand a number of approaches to finding solutions and understanding their behavior. This book offers not only an applied perspective for the student learning to solve differential equations, but also the challenge to apply these analytical tools in the context of singular perturbations, which arises in many areas of application.
Book Synopsis Thinking about Ordinary Differential Equations by : Robert E. O'Malley, Jr
Download or read book Thinking about Ordinary Differential Equations written by Robert E. O'Malley, Jr and published by Cambridge University Press. This book was released on 1997-01-13 with total page 260 pages. Available in PDF, EPUB and Kindle. Book excerpt: While mastery of these equations is essential, adhering to any one method of solving them is not. This book stresses alternative examples and analyses by means of which students can understand a number of approaches to finding solutions and understanding their behavior. This book offers not only an applied perspective for the student learning to solve differential equations, but also the challenge to apply these analytical tools in the context of singular perturbations, which arises in many areas of application.
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.
Book Synopsis Ordinary Differential Equations by : Morris Tenenbaum
Download or read book Ordinary Differential Equations written by Morris Tenenbaum and published by Courier Corporation. This book was released on 1985-10-01 with total page 852 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Exact solutions of differential equations continue to play an important role in the understanding of many phenomena and processes throughout the natural sciences in that they can verify the correctness of or estimate errors in solutions reached by numerical, asymptotic, and approximate analytical methods. The new edition of this bestselling handboo
Book Synopsis Handbook of Exact Solutions for Ordinary Differential Equations by : Valentin F. Zaitsev
Download or read book Handbook of Exact Solutions for Ordinary Differential Equations written by Valentin F. Zaitsev and published by CRC Press. This book was released on 2002-10-28 with total page 815 pages. Available in PDF, EPUB and Kindle. Book excerpt: Exact solutions of differential equations continue to play an important role in the understanding of many phenomena and processes throughout the natural sciences in that they can verify the correctness of or estimate errors in solutions reached by numerical, asymptotic, and approximate analytical methods. The new edition of this bestselling handboo
Fundamental methods and applications; Fundamental theory and further methods;
Book Synopsis Differential Equations by : Shepley L. Ross
Download or read book Differential Equations written by Shepley L. Ross and published by John Wiley & Sons. This book was released on 1974 with total page 736 pages. Available in PDF, EPUB and Kindle. Book excerpt: Fundamental methods and applications; Fundamental theory and further methods;
The first contemporary textbook on ordinary differential equations (ODEs) to include instructions on MATLAB, Mathematica, and Maple A Course in Ordinary Differential Equations focuses on applications and methods of analytical and numerical solutions, emphasizing approaches used in the typical engineering, physics, or mathematics student's field o
Book Synopsis A Course in Ordinary Differential Equations by : Stephen A. Wirkus
Download or read book A Course in Ordinary Differential Equations written by Stephen A. Wirkus and published by CRC Press. This book was released on 2006-10-23 with total page 689 pages. Available in PDF, EPUB and Kindle. Book excerpt: The first contemporary textbook on ordinary differential equations (ODEs) to include instructions on MATLAB, Mathematica, and Maple A Course in Ordinary Differential Equations focuses on applications and methods of analytical and numerical solutions, emphasizing approaches used in the typical engineering, physics, or mathematics student's field o
Book Synopsis Advanced Ordinary Differential Equations by : Athanassios G. Kartsatos
Download or read book Advanced Ordinary Differential Equations written by Athanassios G. Kartsatos and published by Mancorp Publishing. This book was released on 1993 with total page 290 pages. Available in PDF, EPUB and Kindle. Book excerpt:
The Handbook of Ordinary Differential Equations: Exact Solutions, Methods, and Problems, is an exceptional and complete reference for scientists and engineers as it contains over 7,000 ordinary differential equations with solutions. This book contains more equations and methods used in the field than any other book currently available. Included in the handbook are exact, asymptotic, approximate analytical, numerical symbolic and qualitative methods that are used for solving and analyzing linear and nonlinear equations. The authors also present formulas for effective construction of solutions and many different equations arising in various applications like heat transfer, elasticity, hydrodynamics and more. This extensive handbook is the perfect resource for engineers and scientists searching for an exhaustive reservoir of information on ordinary differential equations.
Book Synopsis Handbook of Ordinary Differential Equations by : Andrei D. Polyanin
Download or read book Handbook of Ordinary Differential Equations written by Andrei D. Polyanin and published by CRC Press. This book was released on 2017-11-15 with total page 1767 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Handbook of Ordinary Differential Equations: Exact Solutions, Methods, and Problems, is an exceptional and complete reference for scientists and engineers as it contains over 7,000 ordinary differential equations with solutions. This book contains more equations and methods used in the field than any other book currently available. Included in the handbook are exact, asymptotic, approximate analytical, numerical symbolic and qualitative methods that are used for solving and analyzing linear and nonlinear equations. The authors also present formulas for effective construction of solutions and many different equations arising in various applications like heat transfer, elasticity, hydrodynamics and more. This extensive handbook is the perfect resource for engineers and scientists searching for an exhaustive reservoir of information on ordinary differential equations.
Teaches techniques for constructing solutions of differential equations in a novel way, often giving readers opportunity for ingenuity.
Book Synopsis Ordinary Differential Equations by : George F. Carrier
Download or read book Ordinary Differential Equations written by George F. Carrier and published by SIAM. This book was released on 1968-01-01 with total page 230 pages. Available in PDF, EPUB and Kindle. Book excerpt: Teaches techniques for constructing solutions of differential equations in a novel way, often giving readers opportunity for ingenuity.
Designed as a text for both under and postgraduate students of mathematics and engineering, A Course in Ordinary Differential Equations deals with theory and methods of solutions as well as applications of ordinary differential equations. The treatment is lucid and gives a detailed account of Laplace transforms and their applications, Legendre and Bessel functions, and covers all the important numerical methods for differential equations.
Book Synopsis A Course in Ordinary Differential Equations by : Bindhyachal Rai
Download or read book A Course in Ordinary Differential Equations written by Bindhyachal Rai and published by CRC Press. This book was released on 2002 with total page 484 pages. Available in PDF, EPUB and Kindle. Book excerpt: Designed as a text for both under and postgraduate students of mathematics and engineering, A Course in Ordinary Differential Equations deals with theory and methods of solutions as well as applications of ordinary differential equations. The treatment is lucid and gives a detailed account of Laplace transforms and their applications, Legendre and Bessel functions, and covers all the important numerical methods for differential equations.
