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Geometric Asymptotics
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This book covers the following topics: The Method of Stationary Phase; Morse's ...

This book covers the following topics: The Method of Stationary Phase; Morse's Lemma and Some Generalizations; Differential Operators and Asymptotic Solutions; Geometrical Optics; Symplectic Geometry; Geometric Quantization; Geometric Aspects of Distribution; The Plancherel Formula for the Complex Semi-Simple Lie Groups; Compound Asymptotics; Various Functorial Constructions.

Material Type:
Textbook
Provider:
American Mathematical Society
Author:
GuilleminVictor SternbergShlomo
Introduction to Probability
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Probability theory began in seventeenth century France when the two great French ...

Probability theory began in seventeenth century France when the two great French mathematicians, Blaise Pascal and Pierre de Fermat, corresponded over two problems from games of chance. Problems like those Pascal and Fermat solved continued to influence such early researchers as Huygens, Bernoulli, and DeMoivre in establishing a mathematical theory of probability. Today, probability theory is a well established branch of mathematics that finds applications in every area of scholarly activity from music to physics, and in daily experience from weather prediction to predicting the risks of new medical treatments.

This text is designed for an introductory probability course taken by sophomores, juniors, and seniors in mathematics, the physical and social sciences, engineering, and computer science. It presents a thorough treatment of probability ideas and techniques necessary for a form understanding of the subject. The text can be used in a variety of course lengths, levels, and areas of emphasis.

For use in a standard one-term course, in which both discrete and continuous probability is covered, students should have taken as a prerequisite two terms of calculus, including an introduction to multiple integrals. In order to cover Chapter 11, which contains material on Markov chains, some knowledge of matrix theory is necessary.

Subject:
Statistics and Probability
Material Type:
Textbook
Provider:
American Mathematical Society
Author:
Charles Grinstead
J. Laurie Snell