Introduction to Linear Algebra and Differential Equations (Dover Books on Mathematics)

Book Details

• Author: John W. Dettman

• Brand: Dover

• Edition: New

• Binding: Paperback

• Format: Import

• Number of Pages: 416

• Release Date: 01-12-1986

• ISBN: 0800759651917

• EAN: 0800759651917

• Package Dimensions: 8.5 x 5.5 x 1.0 inches

• Languages: English

About The Book
This textbook by John W. Dettman is designed for undergraduates who have completed a year of calculus. The book combines two essential topics in modern mathematics: linear algebra and its applications to various fields such as linear programming, systems analysis, statistics, numerical analysis, combinatorics, and mathematical physics.

The material is structured from basic concepts to more complex topics, with practical applications introduced to clarify theoretical ideas. Among the topics covered are:

• Complex numbers and functions of a complex variable

• Matrices and determinants

• Vector spaces and symmetric/Heremitian matrices

• Linear differential equations and Bessel functions

• Power-series methods and Laplace transforms

• Systems of differential equations and boundary value problems

Each chapter is supplemented with worked-out examples and a starred section that explores advanced topics, including Hilbert spaces, Jordan forms, Green’s functions, and the Weierstrass approximation theorem, which are intended to challenge more ambitious students.

This well-organized text serves as a clear and gradual progression from first-year calculus to multivariable calculus, while also offering special challenges for students eager for more advanced material.