Fans pick 100 books like Nature's Chaos

A graphic novel about Ada Lovelace, Charles Babbage, and their quixotic Victorian escapades designing computers and algorithms nearly a century before their time? As fascinating as that may already sound, it’s only the beginning. This is the only graphic novel I’ve read that has footnotes to the footnotes—immensely amusing footnotes. While reading this book, I feel constantly in the presence of insane genius. (But please read this book on physical paper. It is a work of art.)

Picking up this short picture book, I expected a dose of Phantom Toolbooth-esque wordplay. Not at all. This five-minute love story, about a line yearning for a dot, somehow enlarges into a meditation on geometric structure itself. From such a brief book, I didn’t expect new insights about how simple geometry underlies our most intricate thinking—but then again, that’s what delightful visuals will do for you.

I stumbled on this in a used bookstore. What a find! The old-school, kid-friendly illustrations lead swiftly from simple beginnings (“What happens when you stretch a painting?”) to the depths of undergraduate topology. I haven’t used this in the classroom yet, but honestly, I could imagine busting it out with anyone from first-graders to first-year PhD candidates.

I adore these images. Each is like a tiny memoir wrapped in a graph. Even beyond the puzzle-like pleasure of decoding them, I love Rial’s playful use of real objects. Coffee rings form a Venn diagram about coffee addiction. Floss traces a line graph on dental hygiene. Half-eaten cheese sticks become the bars on a chart of cheese consumption. A delicious book, in every sense!

This book loves to pretend to be a Raymond Chandler type thriller with a hard-boiled detective, but what might be a stereotype is offset by the detective's past and his personal struggle with depression, as well as a romantic interest in his client, an attractive female mathematician who hires him to figure out why three different mathematicians she contacted about the exact same topic have all died recently.  

Pieces are gathered and put together bit by bit to form a well-balanced mystery complete with false leads and a twist at the end. What makes this novel quite unique is the place given to the actual mathematics of fractals, with enough explanation to communicate not only their fascinating nature but also several applications, much of which is even relevant to the mystery. Best of all is the accurate depiction of the passion of the mathematicians for their subject, their lifestyle, and… show more.

Readers of this list may be surprised that there are no books by Benoit Mandelbrot, the father of fractals. I found his books fascinating but frustrating. Feder’s book, by contrast, was readable and usable.

This book taught me how to do fractal analysis. While Feder’s book has nothing to do with markets, it has everything to do with applications. While I reuse much of Feder’s methodology in my books, readers will find it useful to see other practical applications of fractal analysis.

Geoffrey West does a remarkable thing in this book; he brings his training as a theoretical physicist to problems of biology, global sustainability, and the economics of our cities. He shows the power of mathematics to illuminate remarkable facts about fundamental questions like "Is there a limit to how long animals can live?", "How big can animals get?" and even "Why do cities last so long?"

I learned how the square-cube law explains why you couldn't have a real-life Godzilla, that all mammals share roughly the same amount of heartbeats, and about branching patterns in our lungs, rivers, and trees. Fascinating.

This isn’t a book about biology, but it makes the list anyway. Genes, chemistry, and mechanics stretch our conception of life. Still, there’s more needed to make sense of it all: the emerging understanding that dynamic interactions, feedback loops, and a bit of randomness make life alive. We need more books that lay this out; this was one of my motivations for writing my book.

Philip Ball’s very recent How Life Works seems masterful, and I’m sure it would make this list if I were writing a month or two later, after I’ve finished reading it. But since I can’t list either my book or his, I’ll list Gleick’s book, one of the best popular science books ever. It dives into the science of order and chaos, from the turbulence of Jupiter’s red spot to the unpredictability of weather, with a bit of biological pattern formation in the mix.… show more.

The Austrian School of Economics has been completely non-mathematical. Yet their concepts have direct analogies to complexity theory. Reading this book gives you fundamental economic ideas that tie back to the mathematical foundations of complexity, chaos, and fractals.

When dealing with markets, which are made up of people, after all, I have always found that basing your ideas on behavior rather than pure mathematics is always the way to go. Otherwise, you will not know when the markets have changed, and your ideas may no longer work.

This book also brings us back to the idea of cycles and explains them in an intuitive way. O’Driscoll and Rizzo also write well, so this isn’t a dry academic overview. It is a book that gives you both theory and intuition.

Where The Alchemist is considered the beginner's book on esoteric wisdom, The Puppet Master's Secret is the PHD book about Fractals and what it means to be one, how it feels to be one, as well as the possibilities an awakened Fractal may consider after an incarnation.

This book hits home hard as I'm a Fractal of my Overself as well. The author is a personal friend who used some of our conversations in this book, making it a private biographical adventure for me. This book is meant to assist other Fractals on their journeys to decide if they want to become their own individuals.