Ordinary Differential Equations - Morris Tenenbaum

Ordinary Differential Equations by Morris Tenenbaum and Harry Pollard is an introductory textbook offering a wide-ranging survey of ordinary differential equations. This paperback edition is a reprint of the Harper & Row, Publishers, 1963 edition.

Key details

• Authors: Morris Tenenbaum and Harry Pollard
• Subtitle: An Elementary Textbook for Students of Mathematics, Engineering, and the Sciences
• Format: Paperback
• Pages: 832
• Publisher: Dover Publications Inc
• ISBN: 9780486649405

Synopsis

Written in a clear, step-by-step manner while maintaining mathematical rigour, this text introduces ordinary differential equations as relationships between variables and their derivatives. It opens by tracing the origins of differential equations, defining core terms, and outlining the general solution that contains every solution of a given equation.

Later chapters cover integrating factors, dilution and accretion problems, complex numbers, linearisation of first-order systems, Laplace transforms, Newton’s interpolation formulas, and Picard’s method of successive approximations. Dedicated chapters address series methods and numerical methods, including discussion of Legendre, Bessel and Laguerre differential equations, and the book closes with existence and uniqueness theorems, determinants, and results concerning Wronskians. With solved problems and practice exercises throughout, it is designed for undergraduate students of mathematics, engineering and the sciences, as well as teaching professionals.

Rackhams Reference : 7A11SUGXGQ