Applied Mathematics Fundamentals

Author: Li Chao
Publisher:
Publish Date: 2006-06-01
Features: This book is designed for senior undergraduate and graduate students in engineering. Its purpose is to reflect modern mathematical thought methods, provide a solid mathematical foundation, and strive to be close to practical applications, combining the teaching experience of several authors over the years. The content is divided into three parts:
Part 1: Functional Analysis, including prerequisites, metric spaces and normed linear spaces, bounded linear operators, Lebesgue measure and Lebesgue integration, etc.
Part 2: Matrix Algebra and Matrix Analysis, including matrix canonical forms, Hermitian quadratic forms, matrix factorization, matrix analysis, etc.
Part 3: Fourier Analysis and Wavelet Analysis, including Fourier series and Fourier analysis, multiresolution analysis, etc.
The three parts are organically interconnected yet relatively independent, providing a complete textbook for a course while allowing different users to select specific content for teaching.