Differential Equations: A Linear Algebra Approach follows an innovative approach of inculcating linear algebra and elementary functional analysis in the backdrop of even the simple methods of solving ordinary differential equations. The contents of the book have been made user-friendly through concise useful theoretical discussions and numerous illustrative examples practical and pathological.
The summation in (43.37) is now the same as the right side of L. (c) of (43.2). B. Integral Property of Laguerre Polynomials. Theorem 43.4. Let Losa), L1(c), L2(a), . . . , be Laguerre polynomial solutions of (43.1).
First-rate introduction for undergraduates examines first order equations, complex-valued solutions, linear differential operators, the Laplace transform, Picard's existence theorem, and much more. Includes problems and solutions.
THE HISTORY OF THE CALCULUS AND ITS CONCEPTUAL DEVELOPMENT , Carl B. Boyer . Origins in antiquity , medieval contributions ... 11.95 CURVATURE AND HOMOLOGY : Enlarged Edition , Samuel I. Goldberg . Revised edition examines topology of ...
Among the topics covered in this classic treatment are linear differential equations; solution in an infinite form; solution by definite integrals; algebraic theory; Sturmian theory and its later developments; further developments in the ...
This book presents a complete theory of ordinary differential equations, with many illustrative examples and interesting exercises.
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 ...
The aim of this book is to provide a systematic and practical account of methods of integration of ordinary and partial differential equations based on invariance under continuous (Lie) groups of trans formations.
(B) CDRIV and SDRIV, see D. Kahaner, C. Moler, and S. Nash, Numerical Methods and Software, Prentice—Hall Inc., Englewood Cliffs, NJ, 1989. (C) DEPAC: Code developed by L. Shampine and H. A. Watts. (D) FISHPAK: Code developed by P. N. ...
[5] C. M. Bender and S. A. Orszag, Advanced Mathematical Methods for Scientists and Engineers, McGraw-Hill, New York, 1978. [6] G. F. Carrier and C. E. Pearson, Ordinary Differential Equations, Ginn/Blaisdell, Waltam, MA., 1968.
Problems at the end of each chapter and two Appendixes on special topics enrich the text.