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Author: Haruzo Hida Publisher: JHU Press ISBN: 9780801878602 Category : Mathematics Languages : en Pages : 946
Book Description
In Contributions to Automorphic Forms, Geometry, and Number Theory, Haruzo Hida, Dinakar Ramakrishnan, and Freydoon Shahidi bring together a distinguished group of experts to explore automorphic forms, principally via the associated L-functions, representation theory, and geometry. Because these themes are at the cutting edge of a central area of modern mathematics, and are related to the philosophical base of Wiles' proof of Fermat's last theorem, this book will be of interest to working mathematicians and students alike. Never previously published, the contributions to this volume expose the reader to a host of difficult and thought-provoking problems. Each of the extraordinary and noteworthy mathematicians in this volume makes a unique contribution to a field that is currently seeing explosive growth. New and powerful results are being proved, radically and continually changing the field's make up. Contributions to Automorphic Forms, Geometry, and Number Theory will likely lead to vital interaction among researchers and also help prepare students and other young mathematicians to enter this exciting area of pure mathematics. Contributors: Jeffrey Adams, Jeffrey D. Adler, James Arthur, Don Blasius, Siegfried Boecherer, Daniel Bump, William Casselmann, Laurent Clozel, James Cogdell, Laurence Corwin, Solomon Friedberg, Masaaki Furusawa, Benedict Gross, Thomas Hales, Joseph Harris, Michael Harris, Jeffrey Hoffstein, Hervé Jacquet, Dihua Jiang, Nicholas Katz, Henry Kim, Victor Kreiman, Stephen Kudla, Philip Kutzko, V. Lakshmibai, Robert Langlands, Erez Lapid, Ilya Piatetski-Shapiro, Dipendra Prasad, Stephen Rallis, Dinakar Ramakrishnan, Paul Sally, Freydoon Shahidi, Peter Sarnak, Rainer Schulze-Pillot, Joseph Shalika, David Soudry, Ramin Takloo-Bigash, Yuri Tschinkel, Emmanuel Ullmo, Marie-France Vignéras, Jean-Loup Waldspurger.
Author: Robert E. Butts Publisher: University of Toronto Press ISBN: 1442651156 Category : Philosophy Languages : en Pages : 297
Book Description
In recent years there has been a resurgence of interest in Newton and his influence. His thought, like that of Aristotle and every other great thinker, underwent development which contemporary scholars are seeking to understand more clearly than did their predecessors, awed as they were by the overwhelming Newtonian achievement. As the titles indicate, the range of essays included in this volume is wide, but most are concerned not so much with explaining Newton’s development as with assessing his contribution to the thought of others. They explore all aspects of the conceptual background—historical, philosophical, and narrowly methodological—and examine questions that developed in the wake of Newton’s science. The papers are varied yet unified in their attention to common themes and show the wealth of philosophical matter to be found in scientific synthesis. Newton left a rich complexity of philosophical problems whose attempted resolution helps our understanding both of method and positive science. His theories are one of the greatest achievements in physics; they are also valuable case studies for those interested in grasping the methodological and broadly philosophical basis of science. Four of the seven essays in this volume were prepared for an international conference held at the University of Western Ontario in April 1967; the three other papers were added by the editors to supplement and unify the collection.
Author: Lucien W. Neustadt Publisher: Princeton University Press ISBN: 1400870534 Category : Technology & Engineering Languages : en Pages : 440
Book Description
This book presents a comprehensive treatment of necessary conditions for general optimization problems. The presentation is carried out in the context of a general theory for extremal problems in a topological vector space setting. Following a brief summary of the required background, generalized Lagrange multiplier rules are derived for optimization problems with equality and generalized "inequality" constraints. The treatment stresses the importance of the choice of the underlying set over which the optimization is to be performed, the delicate balance between differentiability-continuity requirements on the constraint functionals, and the manner in which the underlying set is approximated by a convex set. The generalized multiplier rules are used to derive abstract maximum principles for classes of optimization problems defined in terms of operator equations in a Banach space. It is shown that special cases include the usual maximum principles for general optimal control problems described in terms of diverse systems such as ordinary differential equations, functional differential equations, Volterra integral equations, and difference equations. Careful distinction is made throughout the analysis between "local" and "global" maximum principles. Originally published in 1977. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.
Author: Donald W. K. Andrews
Author: Donald W. K. Andrews
Author: Nicolai J. Foss
Author: Harry T. Reis
Author: YCT Expert Team 
Author: Vikas Experts
Author: Auguste Comte
Author: Otto Franz Georg Schilling
Author: Haruzo Hida
Author: Robert E. Butts
Author: Lucien W. Neustadt