Books like The Lady Tasting Tea — picked by fans

Once I finished reading Kuhn’s Structure of Scientific Revolutions, it wasn’t long before I learned that he had followed it up with a collection of deeper analyses in the realm of the philosophy of science.

His sequel book took me deeper into the minds and conflicts of noted greats of science whose scientific contributions’ acceptance is now taken for granted by most. Yet, in their own day, they, too, often had to contend with the tension of science’s and scientists’ history of preferring what consensus had ordained as settled knowledge instead of welcoming new insights and discoveries.

In this classic book, Kuhn introduces the idea of a "paradigm" and shows that real progress comes through paradigm shifts.

That hit me like a rock when I first read it. I love how in the second edition, Kuhn talks about the difficulties of deep change: "the problem is that the new paradigm is always worse than the old one." 

The new paradigm may be better in some way, but it is also sketchy, unformed, and it creates lots of new uncertainties. So, for somebody to shift to a new paradigm always requires a leap of faith!

Though I have been a scientist for nearly all of my life, as a student and as a professional, not until I read this book did I understand what an amazing human activity science is. I had never imagined a world without the word or practice of “science” or even “scientist,” as I do now because of this captivating book.

Wootton’s book is more than a history of how humankind invented and developed one of its most powerful tools. It also reveals the many simply exquisite workings of that tool over the centuries. After pondering its many remarkable revelations, interconnections, and insights, even as a scientist, my appreciation of the significance of science and scientists in the world has re-blossomed.

I don’t remember how this book made it into my hands, but I am so glad it did! This book has made me a better scientist because it taught me scientific humility. Popper rips apart the very fabric of experimental science’s unique and most powerful tool, the scientific method.

When I taught students at MIT how to apply experimental analysis with the scientific method to establish that an observed effect was, in fact, caused by an identified factor, always in my head, I would hear the words of Popper. Past relationships between factors and effects are not necessarily maintained in the future. This understanding of the nature of the universe reveals the imperfections of science, which rarely proves the world’s truths but often does elucidate them.

Mathematicians are constantly baffled by the public’s lack of awareness, not just of what mathematics does, but what it is. Today’s technological society functions only because of a vast range of mathematical concepts, techniques, and discoveries, which go far beyond elementary arithmetic and algebra. This was one of the first books to tackle these misunderstandings head on. It does so by examining not just the math and what it’s used for, but the social structures, the ‘conditions of civilization’ that have brought us to this curious state: utterly dependent on math, almost universally unaware that we are. 

Polya was a great mathematician who knew what counted (after all, he made major contributions to combinatorics, the mathematics of counting). He thought hard about what he was doing when working on problems in mathematics, developing a mental process that lead to creative breakthroughs and solutions. Polya’s problem-solving method is broadly applicable to domains other than mathematics, and this book features many nice puzzles to improve your thinking.

Algorithm design is challenging because it often requires flashes of sudden insight which seem to come out of the blue. But there is a way of thinking about problems that make such flashes more likely to happen. I try to teach this thought process in my books, but Polya got there first.

I love all of Eugenia’s books, she is a cool mathematician working to educate the public about real mathematics – a subject of deep explorations and connected ideas.

Eugenia shares the creativity in mathematics, and the importance of pushing against boundaries, including the gender boundaries that often stop girls and women going forward in STEM. Her playful use of mathematical ideas to disrupt the myths of narrow and inequitable mathematics and the dominance of men in the field, is so fascinating, especially for those of us perturbed by the inequities in STEM.

This is a great book for those who would like to love mathematics a little more than they do now.

Have you ever been to a mathematics lecture where the speaker wore a tuxedo and baffled the audience with his mystifying knowledge of numbers? Well, I have and the speaker was Arthur Benjamin, who combined mathematics and magic. He even displayed this knowledge with Stephen Colbert on his earlier show The Colbert Report. It is our good fortune that he describes much of this mathematical wizardry in this fascinating book. 

Visual representations are not the only pathway to creative acts in art and science, but they are responsible for large territories of creativity – including, and surprisingly, the mathematical. Arthur Miller shows how ‘seeing the unseen’ becomes possible from atoms to the conservation of energy in science, and from modernism to cubism in art. The book itself is as visually striking as its contents and helped me to think through why the visual metaphor – ‘Oh, I see!’ – becomes the standard description of the moment of insight.

Math is so much more than algebra.

Steve Strogatz is our generation’s poet laureate of math. I could not put this book down because, although I use math daily, I was amazed at how Strogatz connects everything to everyday experience. Just one example: Hardly anyone gets told about “group theory” in high school because it’s “too advanced”—but here we find it beautifully illustrated with the problem of flipping your mattress twice a year.

This book will help you have your own ideas by opening your eyes to a world of things that just make better sense through the lens of careful analysis, the interplay of the visual and the symbolic, and (just enough) abstraction.