This book surveys the differential geometry of varieties with degenerate Gauss maps, using moving frames and exterior differential forms as well as tensor methods. The authors illustrate the structure of varieties with degenerate Gauss maps, determine the singular points and singular varieties, find focal images and construct a classification of the varieties with degenerate Gauss maps.

Carl Friedrich Gauss’s textbook, Disquisitiones arithmeticae, published in 1801 (Latin), remains to this day a true masterpiece of mathematical examination. .

Procreare iucundum, sed parturire molestum. (Gauss, sec. Eisenstein) The plan of this book was first conceived eight years ago. The manuscript developed slowly through several versions until it attained its present form in 1979. It would be inappropriate to list the names of all the friends and advisors with whom I discussed my various drafts but I should like to mention the name of Mr. Gary Cornell who, besides discussing with me numerous details of the manuscript, revised it stylistically. There is much interest among mathematicians to know more about Gauss's life, and the generous help I received has certainly more to do with this than with any individual, positive or negative, aspect of my manuscript. Any mistakes, errors of judgement, or other inadequacies are, of course, the author's responsi bility. The most incisive and, in a way, easiest decisions I had to make were those of personal taste in the choice and treatment of topics. Much had to be omitted or could only be discussed in a cursory way.

Classic biography of Gauss, updated with new introduction, bibliography and new material.

Learn about the boy who - could read and add numbers when he was three years old, - thwarted his teacher by finding a quick and easy way to sum the numbers 1-100, - attracted the attention of a Duke with his genius, and became the man who... - predicted the reappearance of a lost planet, - discovered basic properties of magnetic forces, - invented a surveying tool used by professionals until the invention of lasers. Based on extensive research of original and secondary sources, this historical narrative will inspire young readers and even curious adults with its touching story of personal achievement.

The experiment with neoliberal market-oriented economic policy in Latin America, popularly known as the Washington Consensus, has run its course. With left-wing and populist regimes now in power in many countries, there is much debate about what direction economic policy should be taking, and there are those who believe that state-led development might be worth trying again. Susan Gauss’s study of the process by which Mexico transformed from a largely agrarian society into an urban, industrialized one in the two decades following the end of the Revolution is especially timely and may have lessons to offer to policy makers today. The image of a strong, centralized corporatist state led by the Partido Revolucionario Institucional (PRI) from the 1940s conceals what was actually a prolonged, messy process of debate and negotiation among the postrevolutionary state, labor, and regionally based industrial elites to define the nationalist project. Made in Mexico focuses on the distinctive nature of what happened in the four regions studied in detail: Guadalajara, Mexico City, Monterrey, and Puebla. It shows how industrialism enabled recalcitrant elites to maintain a regionally grounded preserve of local authority outside of formal ruling-party institutions, balancing the tensions among centralization, consolidation of growth, and Mexico’s deep legacies of regional authority.

A collection of inter-connected topics in areas of mathematics which particularly interest the author, ranging over the two millennia from the work of Archimedes to the "Werke" of Gauss. The book is intended for those who love mathematics, including undergraduate students of mathematics, more experienced students and the vast unseen host of amateur mathematicians. It is equally a useful source of material for those who teach mathematics.