Elementary Differential Equations presents the standard material in a first course on differential 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 differential equations as a part of analysis.
Differential 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 first 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 finding solutions are included.
By:
Kenneth Kuttler (Brigham Young University)
Imprint: Routledge
Country of Publication: United Kingdom
Dimensions:
Height: 254mm,
Width: 178mm,
Weight: 1.156kg
ISBN: 9781138740914
ISBN 10: 1138740918
Series: Textbooks in Mathematics
Pages: 574
Publication Date: 08 November 2017
Audience:
College/higher education
,
General/trade
,
Primary
,
ELT Advanced
Format: Hardback
Publisher's Status: Active
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
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.
