This book conveys to the non-specialist some of the deepest ideas in mathematics. The first chapter, On the Mathematical Notion of Information, is a sequel to the author's previous works, Dialogues on Mathematics , and Letters on Probability . Other chapters provide thoughtful discussion of the teaching of probability theory, the diverse and surprising applications of the work of Fibonacci, and a mathematician's battle with the casinos. Provides basic introduction to what mathematics is and how it applies to everyday life.
Information theory started almost singlehandedly with Shannon’s "A Mathematical Theory of Communication", laying down the foundations of the modern digital age.
I'm going to be a doing a PhD in information theory and I'll forever remember this book since I was first introduced and drawn to the topic through it. In this book, Renyi presents the subject as a journal written by a student of his information theory course. Simple in language but mature in rigor, it's a delightful and fun read! I would strongly recommend this book to every theoretically oriented EECS major.
I needed this book in order to find bounds for a 20 Questions game modelled as Huffman coding which in this book is referred to as Bar-kochba. In this book, I found why and how we label a binary tree in the form of 0 and 1s in order to represent no and yes', insight into how the code is formed and the number of questions needed to guess an element of a set on average. I found that log base 2 (N) could bound this and later in the diary it was revealed that this value is similar to the entropy. This book, covers a variety of topics like probability and fibonacci sequences. I will keep searching for what I am looking for.