Eugenia Cheng, author of How to Bake Pi, on Colbert Tonight

Eugenia Cheng, author of How to Bake Pi, on Colbert Tonight

Earlier this year, I read Eugenia Cheng’s brilliant book How to Bake Pi: An Edible Exploration of the Mathematics of Mathematics. Tonight she’s appearing (along with Daniel Craig apparently) on the The Late Show with Stephen Colbert. I encourage everyone to watch it and read her book when they get the chance.


You can also read more about her appearance from Category Theorist John Carlos Baez here: Cakes, Custard, Categories and Colbert | The n-Category Café

My brief review of her book on

How to Bake Pi: An Edible Exploration of the Mathematics of MathematicsHow to Bake Pi: An Edible Exploration of the Mathematics of Mathematics by Eugenia Cheng
My rating: 4 of 5 stars

While most of the book is material I’ve known for a long time, it’s very well structured and presented in a clean and clear manner. Though a small portion is about category theory and gives some of the “flavor” of the subject, the majority is about how abstract mathematics works in general.

I’d recommend this to anyone who wants to have a clear picture of what mathematics really is or how it should be properly thought about and practiced (hint: it’s not the pablum you memorized in high school or even in calculus or linear algebra). Many books talk about the beauty of math, while this one actually makes steps towards actually showing the reader how to appreciate that beauty.

Like many popular books about math, this one actually has very little that goes beyond the 5th grade level, but in examples that are very helpfully illuminating given their elementary nature. The extended food metaphors and recipes throughout the book fit in wonderfully with the abstract nature of math – perhaps this is why I love cooking so much myself.

I wish I’d read this book in high school to have a better picture of the forest of mathematics.

More thoughts to come…

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Eugenia Cheng, author of How to Bake Pi, on Colbert Tonight was originally published on Chris Aldrich | Boffo Socko

Popular Science Books on Information Theory, Biology, and Complexity

Popular Science Books on Information Theory, Biology, and Complexity

Previously, I had made a large and somewhat random list of books which lie in the intersection of the application of information theory, physics, and engineering practice to the area of biology.  Below I’ll begin to do a somewhat better job of providing a finer gradation of technical level for both the hobbyist or the aspiring student who wishes to bring themselves to a higher level of understanding of these areas.  In future posts, I’ll try to begin classifying other texts into graduated strata as well.  The final list will be maintained here: Books at the Intersection of Information Theory and Biology.

Introductory / General Readership / Popular Science Books

These books are written on a generally non-technical level and give a broad overview of their topics with occasional forays into interesting or intriguing subtopics. They include little, if any, mathematical equations or conceptualization. Typically, any high school student should be able to read, follow, and understand the broad concepts behind these books.  Though often non-technical, these texts can give some useful insight into the topics at hand, even for the most advanced researchers.

Complexity: A Guided Tour by Melanie Mitchell (review)

Possibly one of the best places to start, this text gives a great overview of most of the major areas of study related to these fields.

Entropy Demystified: The Second Law Reduced to Plain Common Sense by Arieh Ben-Naim

One of the best books on the concept of entropy out there.  It can be read even by middle school students with no exposure to algebra and does a fantastic job of laying out the conceptualization of how entropy underlies large areas of the broader subject. Even those with Ph.D.’s in statistical thermodynamics can gain something useful from this lovely volume.

The Information: A History, a Theory, a Flood by James Gleick (review)

A relatively recent popular science volume covering various conceptualizations of what information is and how it’s been dealt with in science and engineering.  Though it has its flaws, its certainly a good introduction to the beginner, particularly with regard to history.

The Origin of Species by Charles Darwin

One of the most influential pieces of writing known to man, this classical text is the basis from which major strides in biology have been made as a result. A must read for everyone on the planet.

Information, Entropy, Life and the Universe: What We Know and What We Do Not Know by Arieh Ben-Naim

Information Theory and Evolution by John Avery

The Touchstone of Life: Molecular Information, Cell Communication, and the Foundations of Life by Werner R. Loewenstein (review)

Information Theory, Evolution, and the Origin of Life by Hubert P. Yockey

The four books above have a significant amount of overlap. Though one could read all of them, I recommend that those pressed for time choose Ben-Naim first. As I write this I’ll note that Ben-Naim’s book is scheduled for release on May 30, 2015, but he’s been kind enough to allow me to read an advance copy while it was in process; it gets my highest recommendation in its class. Loewenstein covers a bit more than Avery who also has a more basic presentation. Most who continue with the subject will later come across Yockey’s Information Theory and Molecular Biology which is similar to his text here but written at a slightly higher level of sophistication. Those who finish at this level of sophistication might want to try Yockey third instead.

The Red Queen: Sex and the Evolution of Human Nature by Matt Ridley

Grammatical Man: Information, Entropy, Language, and Life  by Jeremy Campbell

Life’s Ratchet: How Molecular Machines Extract Order from Chaos by Peter M. Hoffmann

Complexity: The Emerging Science at the Edge of Order and Chaos by M. Mitchell Waldrop

The Big Picture: On the Origins of Life, Meaning, and the Universe Itself (Dutton, May 10, 2016) 

In the coming weeks/months, I’ll try to continue putting recommended books on the remainder of the rest of the spectrum, the balance of which follows in outline form below. As always, I welcome suggestions and recommendations based on others’ experiences as well. If you’d like to suggest additional resources in any of the sections below, please do so via our suggestion box. For those interested in additional resources, please take a look at the ITBio Resources page which includes information about related research groups; references and journal articles; academic, research institutes, societies, groups, and organizations; and conferences, workshops, and symposia.

Lower Level Undergraduate

These books are written at a level that can be grasped and understood by most with a freshmen or sophomore university level. Coursework in math, science, and engineering will usually presume knowledge of calculus, basic probability theory, introductory physics, chemistry, and basic biology.

Upper Level Undergraduate

These books are written at a level that can be grasped and understood by those at a junior or senor university level. Coursework in math, science, and engineering may presume knowledge of probability theory, differential equations, linear algebra, complex analysis, abstract algebra, signal processing, organic chemistry, molecular biology, evolutionary theory, thermodynamics, advanced physics, and basic information theory.

Graduate Level

These books are written at a level that can be grasped and understood by most working at the level of a master’s level at most universities.  Coursework presumes all the previously mentioned classes, though may require a higher level of sub-specialization in one or more areas of mathematics, physics, biology, or engineering practice.  Because of the depth and breadth of disciplines covered here, many may feel the need to delve into areas outside of their particular specialization.

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Popular Science Books on Information Theory, Biology, and Complexity was originally published on Chris Aldrich

Lecture Series Review: “Augustine: Philosopher and Saint” by Phillip Cary

Augustine: Philosopher and Saint (Great Courses, #611)Augustine: Philosopher and Saint by Phillip Cary

My rating: 4 of 5 stars

This series of 12 audio lectures is an excellent little overview of Augustine, his life, times, and philosophy. Most of the series focuses on his writings and philosophy as well as their evolution over time, often with discussion of the historical context in which they were created as well as some useful comparing/contrasting to extant philosophies of the day (and particularly Platonism.)

Early in the series there were some interesting and important re-definitions of some contemporary words. Cary pushes them back to an earlier time with slightly different meanings compared to their modern ones which certainly helps to frame the overarching philosophy presented. Without a close study of this vocabulary, many modern readers will become lost or certainly misdirected when reading modern translations. As examples, words like perverse, righteousness, and justice (or more specifically their Latin counterparts) have subtly different meanings in the late Roman empire than they do today, even in modern day religious settings.

My favorite part, however, has to have been the examples discussing mathematics as an extended metaphor for God and divinity to help to clarify some of Augustine’s thought. These were not only very useful, but very entertaining to me.

As an aside for those interested in mnemotechnic tradition, I’ll also mention that I’ve (re)discovered (see the reference to the Tell paper below) an excellent reference to the modern day “memory palace” (referenced most recently in the book Moonwalking with Einstein: The Art and Science of Remembering Everything) squirreled away in Book X of Confessions where Augustine discusses memory as:

“fields and spacious palaces” “…where are the treasures of innumerable images, brought into it from things of all sorts perceived by the senses. There is stored up, whatsoever besides we think, either by enlarging or diminishing, or any other way varying those things which the sense hath come to; and whatever else hath been committed and laid up, which forgetfulness hath not yet swallowed up and buried.”

Those interested in memes and the history of “memoria ex locis” (of which I don’t even find a reference explicitly written in the original Rhetorica ad Herrenium) would appreciate an additional reference I subsequently found in the opening (and somewhat poetic) paragraph of a paper written by David Tell on JSTOR. The earliest specific reference to a “memory palace” I’m aware of is Matteo Ricci’s in the 16th century, but certainly other references to the construct may have come earlier. Given that Ricci was a Jesuit priest, it’s nearly certain that he would have been familiar with Augustine’s writings at the time, and it’s possible that his modification of Augustine’s mention brought the concept into its current use. Many will know memory as one of the major underpinnings of rhetoric (of which Augustine was a diligent student) as part of the original trivium.

Some may shy away from Augustine because of the religious overtones which go along with his work, but though there were occasional “preachy sounding” sections in the material, they were present only to clarify the philosophy.

I’d certainly recommend this series of lectures to anyone not closely familiar with Augustine’s work as it has had a profound and continuing affect on Western philosophy, thought, and politics.

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Brief Book Review: “Make Your Own Soda: Syrup Recipes for All-natural Pop, Floats, Cocktails, and More”

Make Your Own Soda: Syrup Recipes for All-Natural Pop, Floats, Cocktails, and MoreMake Your Own Soda: Syrup Recipes for All-Natural Pop, Floats, Cocktails, and More by Anton Nocito
My rating: 3 of 5 stars

I ran across this at random and picked it up on a whim as I often do with books about concocting drinks–particularly having recently picked up a SodaStream machine for fashioning my own seltzer and sodas at the beginning of the new year. Certainly with some lovely photographs it does a reasonable job of harkening back to an older time. There are a handful of small asides and historical facts – though not nearly enough in my mind and it could have included some photos of early and mid-century soda fountains for all its talk about them. The real star of the book has to be the litany of recipes of which I’ll begin trying a few (and hopefully posting up reviews of those over time.)

I’d put this book in a similar league with my all-time favorite Charles Schumann‘s American Bar: The Artistry of Mixing Drinks which is dense with some great information and recipes for the bartender. This book isn’t quite as “hard core” as Schumann’s, but seems to come pretty close to his rigor for the art of mixology. I read an e-book version, which was generally passable, but I would likely have given it 4 stars had I read what I’m sure is a richer experience in print.

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Review of The Signal and the Noise: Why So Many Predictions Fail – But Some Don’t

Started Reading: May 25, 2013
Finished Reading: October 13, 2013

Given the technical nature of what Nate Silver does, and some of the early mentions of the book, I had higher hopes for the technical portions of the book. As usual for a popular text, I was left wanting a lot more. Again, the lack of any math left a lot to desire. I wish technical writers could get away with even a handful of equations, but wishing just won’t make it so.

The first few chapters were a bit more technical sounding, but eventually devolved into a more journalistic viewpoint of statistics, prediction, and forecasting in general within the areas of economics, political elections, weather forecasting, earthquakes, baseball, poker, chess, and terrorism. I have a feeling he lost a large part of his audience in the first few chapters by discussing the economic meltdown of 2008 first instead of baseball or poker and then getting into politics and economics.

While some of the discussion around each of these bigger topics are all intrinsically interesting and there were a few interesting tidbits I hadn’t heard or read about previously, on the whole it wasn’t really as novel as I had hoped it would be. I think it should be required reading for all politicians however, as I too often get the feeling that none of them think at this level.

There was some reasonably good philosophical discussion of Bayesian statistics versus Fisherian, but it was all too short and could have been fleshed out more significantly. I still prefer David Applebaum’s historical and philosophical discussion of probability in Probability and Information: An Integrated Approach though he surprisingly didn’t mention R.A. Fisher directly himself in his coverage.

It was interesting to run across additional mentions of power laws in the realms of earthquakes and terrorism after reading Melanie Mitchell’s Complexity: A Guided Tour (review here), but I’ll have to find some texts which describe the mathematics in full detail. There was surprisingly large amount of discussion skirting around the topics within complexity without delving into it in any substantive form.

For those with a pre-existing background in science and especially probability theory, I’d recommend skipping this and simply reading Daniel Kahneman’s book Thinking, Fast and Slow. Kahneman’s work is referenced several times and his book seems less intuitive than some of the material Silver presents here.

This is the kind of text which should be required reading in high school civics classes. Perhaps it might motivate more students to be interested in statistics and science related pursuits as these are almost always at the root of most political and policy related questions at the end of the day.

For me, I’d personally give this three stars, but the broader public should view it with at least four stars if not five as there is some truly great stuff here. Unfortunately a lot of it is old hat or retreaded material for me.

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Review of The Signal and the Noise: Why So Many Predictions Fail – But Some Don’t was originally published on Chris Aldrich | Boffo Socko