Preface
This book is about the topic of mathematical analysis, particularly in the field of engineering. It attempts to be a companion piece to high-level engineering texts that will rely on a certain fundamental mathematical background among readers.
This will build on topics covered in Probability, Algebra, Linear Algebra, Calculus, and Ordinary Differential Equations. Readers of this book are expected to have background knowledge in all those topics. Topics covered will be inter-disciplinary engineering topics, and will be highly mathematical. However, overlap between this book and other mathematics books, except where necessary, will be minimized.
This book is intended to accompany a graduate course of study in engineering analysis.
Table of Contents
Linear Algebra
Matrix Calculus
Algorithms Design And Analysis
- Wavelets
- Wavelet Transforms
Stochastic Processes
Analysis
- Leibnitz' Rule
- Differential Operator Theory
- Linear Operators
- Complex Analysis
Optimization and Minimization
- Optimization
- Unconstrained Optimizations
- Constrained Optimizations
Appendices
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