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Measure, Integral and Probability
Measure, Integral and Probability is a gentle introduction that makes measure and integration theory accessible to the average third-year undergraduate student. The ideas are developed at an easy pace in a form that is suitable for self-study, with an emphasis on clear explanations and concrete examples rather than abstract theory. For this second edition, the text has been thoroughly revised and expanded. New features include: · a substantial new chapter, featuring a constructive proof of the Radon-Nikodym theorem, an analysis of the structure of Lebesgue-Stieltjes measures, the Hahn-Jordan decomposition, and a brief introduction to martingales · key aspects of financial modelling, including the Black-Scholes formula, discussed briefly from a measure-theoretical perspective to help the reader understand the underlying mathematical framework. In addition, further exercises and examples are provided to encourage the reader to become directly involved with the material.
Measure, Integral and Probability
This very well written and accessible book emphasizes the reasons for studying measure theory, which is the foundation of much of probability. By focusing on measure, many illustrative examples and applications, including a thorough discussion of standard probability distributions and densities, are opened. The book also includes many problems and their fully worked solutions.
If You Meet the Buddha on the Road, Kill Him
A fresh, realistic approach to altering one's destiny and accepting the responsibility that grows with freedom. No meaning that comes from outside of ourselves is real. The Buddahood of each of us has already been obtained. We only need to recognize it. “The most important things that each man must learn no one can teach him. Once he accepts this disappointment, he will be able to stop depending on the therapist, the guru who turns out to be just another struggling human being.” Using the myth of Gilgamesh, Siddhartha, The Wife of Bath, Don Quizote . . . the works of Buber, Ginsberg, Shakespeare, Karka, Nin, Dante and Jung . . . a brilliant psychotherapist, guru and pilgrim shares the epic tales and intimate revelations that help to shape Everyman's journey through life.
