The development of geometry from Euclid to Euler to Lobachevsky, Bolyai, Gauss and Riemann is a story that is often broken into parts - axiomatic geometry, non-Euclidean geometry and differential geometry. This poses a problem for undergraduates: Wh…
Differential geometry has developed in many directions since its beginnings with Euler and Gauss. This often poses a problem for undergraduates: which direction should be followed? What do these ideas have to do with geometry? This book is designed…
Spectral sequences are among the most elegant, most powerful, and most complicated methods of computation in mathematics. This book describes some of the most important examples of spectral sequences and some of their most spectacular applications.…
How many dimensions does our universe require for a comprehensive physical description? In 1905, Poincare argued philosophically about the necessity of the three familiar dimensions, while recent research is based on 11 dimensions or even 23 dimensi…
The continued existence of every man, woman, child and family pet balances on what I am writing here and how it is received. In this book my audience is literally everybody in America and accordingly. the whole world. Many of the things I discuss in…
What does style mean in mathematics? Style is both how one does something and how one communicates what was done. In this book, the author investigates the worlds of the well-known numbers, the binomial coefficients. The author follows the example o…
Whether you lived through the sixties and seventies or just wish you had, this revised and expanded edition of the HIPPIE DICTIONARY entertains as much as it educates. Cultural and political listings such as "Age of Aquarius," "César Chávez," and "B…
