In How Math Explains the World, mathematician Stein reveals how seemingly arcane mathematical investigations and discoveries have led to bigger, more world-shaking insights into the nature of our world. In the four main sections of the book, Stein tells the stories of the mathematical thinkers who discerned some of the most fundamental aspects of our universe. From their successes and failures, delusions, and even duels, the trajectories of their innovations-and their impact on society-are traced in this fascinating narrative. Quantum mechanics, space-time, chaos theory and the workings of complex systems, and the impossibility of a "perfect" democracy are all here. Stein's book is both mind-bending and practical, as he explains the best way for a salesman to plan a trip, examines why any thought you could have is imbedded in the number n , and-perhaps most importantly-answers one of the modern world's toughest questions: why the garage can never get your car repaired on time.

In the early days of computer science, the interactions of hardware, software, compilers, and operating system were simple enough to allow students to see an overall picture of how computers worked. With the increasing complexity of computer technology and the resulting specialization of knowledge, such clarity is often lost. Unlike other texts that cover only one aspect of the field, The Elements of Computing Systems gives students an integrated and rigorous picture of applied computer science, as its comes to play in the construction of a simple yet powerful computer system.

Do-unto-others-as-you-would-have-them-do-unto-you. Who would disagree with this "Golden Rule?" We regard it as the basis of an absolute and universal morality. And yet it is considered acceptable to kill the enemy in war; for a businessman to do the best for himself; for a lawyer to argue professionally for a position he would personally reject. Are the moral rules we live by more flexible than they seem at first sight?