Heng L. Mathematics for Future Computing and Communications 2022

Textbook in PDF format

For 80 years, mathematics has driven fundamental innovation in computing and communications. This timely book provides a panorama of some recent ideas in mathematics and how they will drive continued innovation in computing, communications and AI in the coming years. It provides a unique insight into how the new techniques that are being developed can be used to provide theoretical foundations for technological progress, just as mathematics was used in earlier times by Turing, von Neumann, Shannon and others. Edited by leading researchers in the field, chapters cover the application of new mathematics in computer architecture, software verification, quantum computing, compressed sensing, networking, Bayesian inference, machine learning, reinforcement learning and many other areas.
Preface.
Computing
Mathematics, Models and Architectures.
Mathematics and Software Verification.
Mathematics for Quantum Computing.
Mathematics for AI: Categories, Toposes, Types.
Communications
Mathematics and Compressed Sensing.
Mathematics, Information Theory, and Statistical Physics.
Mathematics of Data Networking.
Mathematics and Network Science.
Artificial Intelligence
Mathematics, Information and Learning.
Mathematics and Bayesian Inference.
Mathematics, Optimization and Machine Learning.
Mathematics of Reinforcement Learning.
Future
Mathematics and Prospects for Future Breakthroughs.
Editors and Contributing Authors