Fans pick 74 books like The Art of Computer Programming, Volume 4, Fascicle 1, The

This book profoundly influenced my thinking process, combining the worlds of mathematics, art, and music. I was captivated by how the book explores the deep connections between Gödel’s incompleteness theorems, Escher’s art, and Bach’s art of counterpoint.

The book’s puzzles and thought experiments pushed me to think more abstractly and critically. Despite being dense, I found it incredibly rewarding and eye-opening. I recommend this book to anyone interested in logic, creativity, and the nature of human thought. It’s a masterpiece!

Nagel’s book is the most understandable explanation I’ve found about one of the most cosmically seminal math proofs: Godel’s incompleteness theorem.

It takes the idea of recursion and self-reference to the ultimate conclusion about truth, understanding, and boundaries of existence. This may sound hootie-tootie, but think of the sequence of abstraction in math: arithmetic, algebra, calculus, etc.

Once you add in recursion (self-reference), you’ve got the most important concepts underlying true understanding and productivity in software – something never discussed in computer science, and certainly not in practical programming.

Think about the so-called Von Neumann computer architecture, which underlies all modern computers – instructions are data, stored in the same place as ordinary data, and some instructions write data that are instructions. This is recursion taken to the next level. 

Attending Harvard College gave me the opportunity to collaborate with great programmers in creating the early ARPA-net. But the best course I took was on compiler theory and construction, using an early draft of the material in this book.

Of course I learned how to build a compiler, which I did as my first job after graduating. But more important, I learned that a well-built compiler is a small amount of language-independent code with two major parts.

First the input part that realizes the content of the lexical and grammatical metadata, like today’s LEX and YACC, to turn the program being compiled into a semantic model.

Second the code generator that reads the semantic model and, based on generative model metadata, turns the semantics of the program being compiled to whatever form you want, whether executable code, assembler language, byte code or whatever.

This approach, while indispensable for compilers and… show more.

I learned my first programming language as a kid, and Basic always felt like a beginner’s language. It wasn’t until I started writing C that I felt in control of the machine. This book is a classic and was on every C-programmer’s shelf in the 80s and 90s. It isn’t the easiest read but is remarkably comprehensive for a relatively thin volume. The fact that it has been in print for over 30 years tells you something about its staying power.

Nowadays, I tend to code in higher level languages, but every once and a while I dip down, getting closer to the bare metal, and brush this baby off. It is probably one of my most well-worn books.

This multi-volume book is, for me, a masterpiece that goes far beyond just coding or algorithms or data structures, and serves as a profound exploration of algorithmic thinking and computer science's theoretical foundations, going deeply into the performance of algorithms and the behavior of data structures.

Knuth's meticulous approach, coupled with his clear and engaging prose (with occasional touches of humor) clearly explains complex concepts, and shows a deep understanding of the artistry inherent in solving computational problems.

Bill Gates said that anybody who went through all its volumes would get a job at his company, and I surely agree! I would recommend this book both for novice or seasoned programmers, because you will always find invaluable insights in it.

Knuth’s unique mix of playfulness and rigor came to define computer science as an intellectual discipline: computer science didn’t really have anything to do with computers, but everything to do with a particular way of seeing the world.  Just browse and wonder at the beauty and precision achieved in these books.   

Volume 3 (Sorting and Searching) is my personal favorite, and I encourage you to start there. During the pandemic, I finally got around to reading Volume 4A (Combinatorial Algorithms), which was published thirty plus years after Volume 3. It was the same feeling I had watching the movie The Phantom Menace years after growing up with the original Star Wars trilogy. I had forgotten just how unique and distinctive Knuth’s Art of Computer Programming is.

This book is essential in that it follows a systematic and scientific approach to software development, advocating for clarity in expressing algorithms, providing a rigorous framework for designing and reasoning about programs, and, fundamentally, always focusing on formal methods and mathematical techniques to ensure correctness and efficiency in programming code.

Most importantly, the book doesn’t just show you how to prove programs correct, but also teaches how to arrive from a definition to an efficient and correct solution, so I would recommend this to every developer.

Smalltalk is not as common or popular as it once was, but the influence its design had on programming is hard to overstate.

Reading this book has changed how I think about object orientation, and how I design systems, learning the patterns of Smalltalk makes it clear what object oriented design is really intended to achieve.

During my first few weeks of JavaScript coding, I encountered what seemed to be an endless number of head-scratching moments: "I'm slowly reading the few lines of code I just wrote, it seems fine, so why isn't it doing what it looks like it should be doing?" Even more insidious at times than C++, JavaScript contains a number of fairly clever constructs, including things like hoisting, duck typing, and a loosey-goosey argument passing mechanism. This concise tome of fewer than 175 pages helped get me past those first few months, and as an author-stated goal, it helped me "learn to think in JavaScript."

If you want your interactive graphics to feel like they are real objects—real things moving around on the screen—then you have to learn how to mimic the natural world. For an object to feel like it has weight, you have to mimic gravity. For a flock of birds to feel real, you have to mimic how real birds swarm in the sky. Yes, this does involve little math. But fortunately, Dan is a superstar teacher, and he will gently walk you through (a) the math and (b) how to translate that math into code.

Speaking of code, this book uses Processing.js, which is an older adaptation of original Processing to JavaScript. That said, the techniques are all equally applicable to modern-day Processing and p5.js.