Elementary Differential Equations
1st Edition
Published on 21. January 2023
Book
Paperback/Softback
588 pages
978-1-032-47648-3 (ISBN)
Description
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.
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.
More details
Series
Language
English
Place of publication
United Kingdom
Publishing group
Taylor & Francis Ltd
Target group
College/higher education
Illustrations
89 s/w Abbildungen
89 Illustrations, black and white
Dimensions
Height: 254 mm
Width: 178 mm
Weight
453 gr
ISBN-13
978-1-032-47648-3 (9781032476483)
Copyright in bibliographic data and cover images is held by Nielsen Book Services Limited or by the publishers or by their respective licensors: all rights reserved.
Schweitzer Classification
Other editions
Additional editions
Kenneth Kuttler
Elementary Differential Equations
E-Book
11/2017
1st Edition
Chapman & Hall/CRC
€65.99
Available for download
Kenneth Kuttler
Elementary Differential Equations
E-Book
11/2017
Chapman & Hall/CRC
€65.99
Available for download
Kenneth Kuttler
Elementary Differential Equations
Book
11/2017
1st Edition
Routledge
€215.77
Shipment within 10-20 days
Person
Kenneth Kutler is Professor, Brigham Young University, holds his PhD from University of Texas.His primary area of research is Partial Differential Equations and Inclusions.
Content
Preface; 1 Some Prerequisite Topics; I First Order Scalar Differential Equations, Methods; 2 The Idea Of A Differential Equation; 3 Homogeneous Linear Equations; 4 Nonhomogeneous Equations; 5 Laplace Transform Methods; III Series Methods For Scalar; 6 Power Series; 7 Power Series Methods; IV First Order Linear Systems; 8 First Order Systems Of Differential Equations, Theory; 9 Methods For First Order Systems; V Partial Differential Equations; 10 Boundary Value Problems And Fourier Series; 11 Some Famous Partial Differential Equations; VI Non-linear Systems Of O.D.E.; 12 Theory Of Ordinary Differential Equations; 13 Equilibrium Points And Limit Cycles; 14 The Center Manifold; Appendix A: Calculus Review 381; Appendix B Series, Appendix C Review Of Linear Algebra; Appendix D Theory Of Functions Of Many Variables; Appendix E Spectral Theory; Appendix F Linear Transformations; Appendix G Implicit Function Theorem; Appendix H The Jordan Curve Theorem; Bibliography; Index