Textbook in PDF format
This two-volume set on Mathematical Principles of the Internet provides a comprehensive overview of the mathematical principles of Internet engineering. The books do not aim to provide all of the mathematical foundations upon which the Internet is based. Instead, they cover a partial panorama and the key principles. Volume 1 explores Internet engineering, while the supporting mathematics is covered in Volume 2.
Preface.
List of Symbols.
Greek Symbols.
Number Theory.
Abstract Algebra.
Matrices and Determinants.
Graph Theory.
Geometry.
Applied Analysis.
Optimization, Stability, and Chaos Theory.
Probability Theory.
Stochastic Processes.
Index