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Senior Math
An accessible explanation of Kurt Gödel's groundbreaking work in mathematical logic
In 1931 Kurt Gödel published his fundamental paper, "On Formally Undecidable Propositions of Principia Mathematica and Related Systems." This revolutionary paper challenged certain basic assumptions underlying much research in mathematics and logic. Gödel received public recognition of his work in 1951 when he was awarded the first Albert Einstein Award for achievement in the natural sciences--perhaps the highest award of its kind in the United States. The award committee described his work in mathematical logic as "one of the greatest contributions to the sciences in recent times." However, few mathematicians of the time were equipped to understand the young scholar's complex proof. Ernest Nagel and James Newman provide a readable and accessible explanation to both scholars and non-specialists of the main ideas and broad implications of Gödel's discovery. It offers every educated person with a taste for logic and philosophy the chance to understand a previously difficult and inaccessible subject. New York University Press is proud to publish this special edition of one of its bestselling books. With a new introduction by Douglas R. Hofstadter, this book will appeal students, scholars, and professionals in the fields of mathematics, computer science, logic and philosophy, and science.
This collection of original papers on the special and general theories of relativity is an unabridged translation of the 4th edition of Das Relativitatsprinzip, together with a revised edition of an additional paper by H. A. Lorentz.
CONTENTS: I. "Michelson's Interference Experiment" by H. A . Lorentz. II. "Electromagnetic Phenomena in a System Moving with any Velocity Less than that of Light" by H. A . Lorentz. Ill. "On the Electrodynamics of Moving Bodies" by A. Einstein. IV. "Does the Inertia of a Body Depend Upon its Energy-Content?" by A. Einstein. V. "Space and Time" by H. Minkowski. VI. "On the Influence of Gravitation on the Propagation of Light" by A. Einstein. VII. "The Foundation of the General Theory of Relativity" by A. Einstein. VIII. "Hamilton's Principle and the General Theory of Relativity" by A. Einstein. IX. "Cosmological Considerations on the General Theory of Relativity" by A. Einstein. X. "Do Gravitational Fields Play an Essential Part in the Structure of the Elementary Particles of Matter?" by A. Einstein. XI. "Gravitation and Electricity" by H. Weyl.
"The book constitutes an indispensable part of a library on relativity," Nature. "It is really a thrill to read again the original papers by these giants," School Science and Mathematics. "Warmly recommended," Quarterly of Applied Mathematics.
