Avinash Dixit is an emeritus university professor of economics at Princeton. He is a member of the National Academy of Sciences and was President of the American Economic Association for the year 2008.
This is the book that brought game theory to life. Eschewing dry mathematical theorems, and conducting rigorous logical analysis through rich examples of strategic use of threats, promises, and brinkmanship in real life, Schelling opened up a whole world of practical applications of the theory. My own thinking and writing about game theory owes a huge debt to Schelling. You should also read his “Arms and Influence,” “Micromotives and Macrobehavior,” and “Choice and Consequence.”
A series of closely interrelated essays on game theory, this book deals with an area in which progress has been least satisfactory-the situations where there is a common interest as well as conflict between adversaries: negotiations, war and threats of war, criminal deterrence, extortion, tacit bargaining. It proposes enlightening similarities between, for instance, maneuvering in limited war and in a traffic jam; deterring the Russians and one's own children; the modern strategy of terror and the ancient institution of hostages.
I’m a mathematician and incurable book-lover. It’s been one of the joys of my life to explore the links between mathematics and literature. The stories we tell ourselves about mathematics and mathematicians are fascinating, and especially the ways in which mathematicians are portrayed in fiction. I’m the first female Professor of Geometry at Gresham College, London, a role created in 1597. I don’t fit the mathematician stereotype of the dishevelled old man, obsessed only with numbers (well, perhaps I am slightly dishevelled), so I particularly relish books featuring mathematicians who bring more to the party than this. I hope you’ll enjoy my recommended books as much as I did!
Too Much Happiness, the title story in a 2009 collection by Alice Munro, is a fictionalised account of the last days in the life of mathematician Sofya Kovalevskaya.
What really grabbed me was the way Munro managed to express, with wonderful economy, the way that Kovalevskaya’s acceptance as a woman mathematician in the 19th century felt conditional – she won prizes but had to fight to get a job; if she travelled for work people would allude to the daughter at home who might need her: “a jab there, a suggestion familiar to her, of faulty motherhood”.
It’s a beautiful and poignant portrayal of a complicated, brilliant woman.
These are beguiling, provocative stories about manipulative men and the women who outwit them, about destructive marriages and curdled friendships, about mothers and sons, about moments which change or haunt a life. Alice Munro's stories surprise and delight, turning lives into art, expanding our world and shedding light on the strange workings of the human heart.
Ever since my graduate student days in philosophy and economics, I have slowly come to understand more and more the case for workplace democracy based on normative principles (i.e., the inalienability, property, and democratic principles), not just the obvious consequentialist or pragmatic arguments based on increased productivity (people working jointly for themselves), less worker alienation, and eliminating the divide down the middle of most enterprises between employers and employees. In addition to two decades of teaching university economics, I have co-founded several consulting companies dedicated to implementing these principles in practice, the Industrial Cooperative Association in Massachusetts (now the ICA Group) and the Institute for Economic Democracy in Slovenia, where I have retired.
This short book by the late Staughton Lynd is the best summary of the radical principles upon which America was founded. Lynd goes deep into the intellectual history of the underlying principles in English and European history. In spite of writing such an important book and perhaps due to his outspoken opposition to the Vietnam War, Lynd was not given tenure as a historian at Yale University. He then became a labor lawyer and lived the rest of his life as a labor activist.
Now an established classic, Intellectual Origins of American Radicalism was the first book to explore this alternative current of American political thought. Stemming back to the seventeenth-century English Revolution, many questioned private property, the sovereignty of the nation-state, and slavery, and affirmed the common man's ability to govern. By the time of the American Revolution, Thomas Paine was the great exemplar of the alternative intellectual tradition. In the nineteenth century, the antislavery movement took hold of Thomas Paine's ideas and fashioned them into an ideology that ultimately justified civil war. This updated edition contains a preface by the author, which…
As a full professor of mathematics for over 30 years, I have been engaged in research and teaching. Research can be difficult to describe to non-experts, but some important advances in mathematics can be explained to an interested public without the need for specialist knowledge, as I have done.
This unique book presents stories about mathematics, such as The Young Archimedes by Aldous Huxley and Peter Learns Arithmetic by H. G. Wells. It and its sequel are a mine of fascinating short stories.
It's well worth keeping and rereading. I found both it and its sequel fun to read.
Clifton Fadiman's classic collection of mathematical stories, essays and anecdotes is now once again available. Ranging from the poignant to the comical via the simply surreal, these selections include writing by Aldous Huxley, Martin Gardner, H.G. Wells, George Gamow, G.H. Hardy, Robert Heinlein, Arthur C. Clarke, and many others. Humorous, mysterious, and always entertaining, this collection is sure to bring a smile to the faces of mathematicians and non-mathematicians alike.
I am the co-founder and current owner of The Manhattan Rare Book Company. I’ve been in the rare book business for 25 years, specializing in the history of science with particular emphasis on material relating to Albert Einstein. Like many people, I’ve long been drawn to Einstein, attracted by his wisdom, curiosity, personality, approachability, and general decency.
Using Einstein's most famous equation as his organizational theme, Bodanis offers a fresh and exciting approach to Einstein's life and work. Energy, mass, and the speed of light become characters of their own as Bodanis traces our evolving understanding of the nature of the universe. The book is all about context—delightfully so—giving Bodanis an excuse to introduce a kaleidoscope of colorful personalities who either influenced Einstein, or were influenced by him, all connected by their relationship to this most powerful of all equations.
Already climbing the bestseller lists-and garnering rave reviews this "little masterpiece" sheds brilliant light on the equation that changed the world.
Bodanis begins by devoting chapters to each of the equation's letters and symbols, introducing the science and scientists forming the backdrop to Einstein's discovery from Ole Roemer's revelation that the speed of light could be measured to Michael Faraday's pioneering work on energy fields. Having demystified the equation, Bodanis explains its science and brings it to life historically, making clear the astonishing array of discoveries and consequences it made possible. It would prove to be a beacon throughout the…
My undergraduate physics textbook asked, “What is an electric field? Is it something real, or is it merely a name for a factor in an equation which has to be multiplied by something else to give the numerical value of the force we measure in an experiment?” Here, I thought, is a good question! But the textbook said that since electromagnetic theory “works, it doesn’t make any difference" what an electric field is! Then it said, "That is not a frivolous answer, but a serious one.” I felt ashamed. But my physics teacher helpfully suggested that I “speak to the philosophers.” I am very pleased that I decided to become one!
This is the most fun book that has ever been written about the famous philosophical challenges posed by the proper interpretation of quantum mechanics. It is extremely difficult to say what the real world could possibly be like considering that quantum mechanics is so accurate at predicting our observations of it. Albert is a wonderful guide to this problem. His book is genuinely funny and down-to-earth (yes, I mean it!) and it introduces only as much technical and scientific machinery as is absolutely necessary. There is no other quantum mechanics book quite like this one.
The more science tells us about the world, the stranger it looks. Ever since physics first penetrated the atom, early in this century, what it found there has stood as a radical and unanswered challenge to many of our most cherished conceptions of nature. It has literally been called into question since then whether or not there are always objective matters of fact about the whereabouts of subatomic particles, or about the locations of tables and chairs, or even about the very contents of our thoughts. A new kind of uncertainty has become a principle of science.
I am a Professor of Economics at Washington State University. My research focuses on applying Game Theory and Industrial Organization models to polluting industries and other regulated markets. I analyze how firms strategically respond to environmental regulation, including their output and pricing decisions, their investments in clean technologies, and merger decisions, both under complete and incomplete information contexts.
This book is a short introduction to undergraduate-level Game Theory, with a special focus on basic games of complete information and contracts.
It avoids jargon, notation, or formal definitions but emphasizes economic intuition and offers many examples in each chapter. Some chapters require a good math background, making the book a good fit for students who already took at least one course in algebra and calculus.
Joel Watson has refined his successful text to make it even more student-friendly. A number of sections have been added, and numerous chapters have been substantially revised. Dozens of new exercises have been added, along with solutions to selected exercises. Chapters are short and focused, with just the right amount of mathematical content and end-of-chapter exercises. New passages walk students through tricky topics.
I've been teaching math and physics for more than 20 years as a private tutor. During this time, I experimented with different ways to explain concepts to make them easy to understand. I'm a big fan of using concept maps to show the connections between concepts and teaching topics in an integrated manner, including prerequisites and applications. While researching the material for my book, I read dozens of linear algebra textbooks and watched hundreds of videos, looking for the best ways to explain complicated concepts intuitively. I've tried to distill the essential ideas of linear algebra in my book and prepared this list to highlight the books I learned from.
This book has been a bit of an inspiration for me, and I use it regularly as a reference.
First of all, the content is complete and covers all the standard topics, including complete proofs. I like Heffron's book particularly because of the comprehensive exercises with complete worked solutions. It's hard to over-emphasize the importance of solving problems when learning, and this book has A LOT of them, which makes it an excellent choice for anyone learning on their own.
The author also provides lots of bonus material through his website, including slides, homework assignments, and a video lecture series. Last but not least, the entire book is released under an open license, allowing instructors to adapt and customize the material.
The approach is developmental. Although it covers the requisite material by proving things, it does not assume that students are already able at abstract work. Instead, it proceeds with a great deal of motivation, many computational examples, and exercises that range from routine verifications to (a few) challenges. The goal is, in the context of developing the usual material of an undergraduate linear algebra course, to help raise each student's level of mathematical maturity.
Philosophy’s core questions have always obsessed me: What is real? What makes life worth living? Can knowledge be made secure? In graduate school at the University of Virginia I was drawn to mathematically formalized approaches to such questions, especially those of C. S. Peirce and Alain Badiou. More recently, alongside colleagues at Endicott College’s Center for Diagrammatic and Computational Philosophy and GCAS College Dublin I have explored applications of diagrammatic logic, category theory, game theory, and homotopy type theory to such problems as abductive inference and artificial intelligence. Philosophers committed to the perennial questions have much to gain today from studying the new methods and results of contemporary mathematics.
From a strictly philosophical perspective, the emergence of category theory as a unifying paradigm rivaling set theory is probably the most important development in mathematics in the last half-century.
But for philosophers without a lot of mathematical background, learning even its rudiments can be daunting. Among many introductory texts (Lawvere and Schanuel, Awodey, Riehl, Spivak), Cheng’s book stands out as perhaps the friendliest and most accessible.
She does not forego rigor, but she isn’t afraid to put aside precise formalism when necessary for intuition and clearer understanding. Her book takes the reader from mathematical beginnings through category theory’s core constructions to glimpses of higher-order categories (one of Cheng’s areas of expertise).
A mathematically novice philosopher who wants to understand the basics of category theory couldn’t do better.
Mathematician and popular science author Eugenia Cheng is on a mission to show you that mathematics can be flexible, creative, and visual. This joyful journey through the world of abstract mathematics into category theory will demystify mathematical thought processes and help you develop your own thinking, with no formal mathematical background needed. The book brings abstract mathematical ideas down to earth using examples of social justice, current events, and everyday life - from privilege to COVID-19 to driving routes. The journey begins with the ideas and workings of abstract mathematics, after which you will gently climb toward more technical material,…
I started my career as a research scientist building machine learning algorithms for weather forecasting. Twenty years later, I found myself at a precision agriculture startup creating models that provided guidance to farmers on when to plant, what to plant, etc. So, I am part of the movement from academia to industry. Now, at Google Cloud, my team builds cross-industry solutions and I see firsthand what our customers need in their data science teams. This set of books is what I suggest when a CTO asks how to upskill their workforce, or when a graduate student asks me how to break into the industry.
It is not enough for a data scientist to be able to analyze data and build ML models. You have to be able to communicate the insights to decision-makers concisely and accurately. This book shows you bad and good visualizations — you’ll be surprised by how often you would have defaulted to the bad way without the guidance provided by this book!
Effective visualization is the best way to communicate information from the increasingly large and complex datasets in the natural and social sciences. But with the increasing power of visualization software today, scientists, engineers, and business analysts often have to navigate a bewildering array of visualization choices and options.
This practical book takes you through many commonly encountered visualization problems, and it provides guidelines on how to turn large datasets into clear and compelling figures. What visualization type is best for the story you want to tell? How do you make informative figures that are visually pleasing? Author Claus O. Wilke…
