00:00:00 Introduction

00:01:25 Entropy, Relative Entropy, and Mutual Information

00:03:16 Asymptotic Equipartition Property (AEP)

00:04:22 Entropy Rates of a Stochastic Process

00:05:37 Data Compression

00:07:09 Gambling and Data Compression

00:08:50 Channel Capacity

00:10:44 Differential Entropy

00:12:13 Gaussian Channel

00:13:37 Rate Distortion Theory

00:15:08 Information Theory and Statistics

00:16:38 Maximum Entropy

00:17:54 Universal Source Coding

00:19:14 Kolmogorov Complexity

00:20:42 Network Information Theory

00:22:19 Information Theory and Portfolio Theory

00:23:43 Inequalities in Information Theory

00:25:03 Outro

This episode is based on Introduction to the Theory of Computation, Third Edition Michael Sipser.

00:00:00 Introduction

00:00:21 Regular Languages

00:02:20 Context-Free Languages

00:03:53 The Church-Turing Thesis

00:05:28 Decidability

00:07:05 Reducibility

00:08:37 Advanced Topics in Computability

00:10:17 Time Complexity

00:12:25 Space Complexity

00:14:06 Intractability

00:15:19 Advanced Topics in Complexity Theory

00:17:12 Outro

Computer Networking: A Top-Down ApproachAuthored by the renowned computer scientists James Kurose and Keith Ross, is one of the most popular and influential textbooks for learning about computer networking . Its main goal is to provide a modern and comprehensive introduction to the field, explaining not just the individual components of the Internet, but how they all work together .

What makes this book unique is its celebrated **top-down approach** . Instead of starting with the low-level details of physical wires and data bits, it begins with the application layer—the part of the network we interact with every day, like web browsers and e-mail clients. From there, it moves step-by-step down the protocol stack. This method helps you understand *why* each layer exists, as you see the services it must provide to the layer above it .