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This dissertation considers the career of the mathematician Richard Courant (1888-1972) and the development of New York University's Courant Institute of Mathematical Sciences to study the manifold ways in which mathematics and science can function as objects of--and catalysts to--international cultural exchange in times of both peace and war. I trace the cultural history of this research and teaching mathematics institute, with a particular focus on the dynamic relationships between the Courant Institute mathematicians and their peers in the military, government, private foundations and academia--both in the United States and abroad. I examine the careers of the Institute's founder, the Ger...
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From the reviews: "...one of the best textbooks introducing several generations of mathematicians to higher mathematics. ... This excellent book is highly recommended both to instructors and students." --Acta Scientiarum Mathematicarum, 1991
Excerpt from Final Report, I: Courant Institute of Mathematical Sciences This research was supported by the Advanced Research Projects Agency of the Department of Defense and was monitored under Grant DA-ARO-D-31-124-72-G113 for the period Feb. 15, 1972 - May 31, 1973 and Grant DA- ARO-D-31-124-73-G15O for the period June 1, 1973 - May 31, 1974. This work continues under Grant AFOSR-74-2728 for the period June 1, 1974 - Jan. 31, 1975. Views and conclusions contained in this study should not be interpreted as representing the official opinion or policy of the Courant Institute of Mathematical Sciences, or of New York University, or of ARPA. Reproduction in whole or in part is permitted for an...
A new edition of a graduate-level machine learning textbook that focuses on the analysis and theory of algorithms. This book is a general introduction to machine learning that can serve as a textbook for graduate students and a reference for researchers. It covers fundamental modern topics in machine learning while providing the theoretical basis and conceptual tools needed for the discussion and justification of algorithms. It also describes several key aspects of the application of these algorithms. The authors aim to present novel theoretical tools and concepts while giving concise proofs even for relatively advanced topics. Foundations of Machine Learning is unique in its focus on the an...