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書名:FINANCIAL DECISIONS AND MARKETS: A COURSE IN ASSET PRICING 作者:CAMPBELL 出版社:Princeton 出版日期:2017/10/31 ISBN:9780691160801
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書名:A First Course in Differential Geometry: Surfaces in Euclidean Space 作者:Lyndon Woodward 出版社:Cambridge 出版日期:2019/00/00 ISBN:9781108441025 目錄 Table of Contents Preface 1. Curves in Rn 2. Surfaces in Rn 3. Tangent planes and the first fundamental form 4. Smooth maps 5. Measuring how surfaces curve 6. The Theorema Egregium 7. Geodesic curvature and geodesics 8. The Gauss–Bonnet theorem 9. Minimal and CMC surfaces 10. Hints or answers to some exercises Index.
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A FIRST COURSE IN RANDOM MATRIX THEORY 2021 (H) ISBN: 9781108488082 類別: 數學Mathematics 出版社: CAMBRIDGE UNIVERSITY PRESS 作者: POTTERS 年份: 2021 裝訂別: 精裝 頁數: 370頁 內容簡介
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Praise for the Third Edition "It is, as far as I'm concerned, among the best books in math ever written....if you are a mathematician and want to have the top reference in probability, this is it." (Amazon.com, January 2006) A complete and comprehensive classic in probability and measure theory Probability and Measure, Anniversary Edition by Patrick Billingsley celebrates the achievements and advancements that have made this book a classic in its field for the past 35 years. Now re-issued in a new style and format, but with the reliable content that the third edition was revered for, this Anniversary Edition builds on its strong foundation of measure theory and probability with Billingsley's unique writing style. In recognition of 35 years of publication, impacting tens of thousands of readers, this Anniversary Edition has been completely redesigned in a new, open and user-friendly way in order to appeal to university-level students. This book adds a new foreward by Steve Lally of the Statistics Department at The University of Chicago in order to underscore the many years of successful publication and world-wide popularity and emphasize the educational value of this book. The Anniversary Edition contains features including: An improved treatment of Brownian motion Replacement of queuing theory with ergodic theory Theory and applications used to illustrate real-life situations Over 300 problems with corresponding, intensive notes and solutions Updated bibliography An extensive supplement of additional notes on the problems and chapter commentaries Patrick Billingsley was a first-class, world-renowned authority in probability and measure theory at a leading U.S. institution of higher education. He continued to be an influential probability theorist until his unfortunate death in 2011. Billingsley earned his Bachelor's Degree in Engineering from the U.S. Naval Academy where he served as an officer. he went on to receive his Master's Degree and doctorate in Mathematics from Princeton University.Among his many professional awards was the Mathematical Association of America's Lester R. Ford Award for mathematical exposition. His achievements through his long and esteemed career have solidified Patrick Billingsley's place as a leading authority in the field and been a large reason for his books being regarded as classics. This Anniversary Edition of Probability and Measure offers advanced students, scientists, and engineers an integrated introduction to measure theory and probability. Like the previous editions, this Anniversary Edition is a key resource for students of mathematics, statistics, economics, and a wide variety of disciplines that require a solid understanding of probability theory.
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What is the most effective method for project evaluation? While the standard Net Present Value (NPV) method is widely used for its simplicity, it has notable limitations: it insufficiently accounts for the random complexity of cash flows and fails to capture the flexibility inherent in project execution. This book introduces an innovative evaluation method designed to address these shortcomings. It begins by analyzing the evaluation of random variables, representing the Random Present Values (RPVs) of cash flows, and identifies the optimal evaluation functional for RPVs. Through this analysis, the concave monetary value measure — or concave monetary utility function — emerges as the most suitable tool. The study is then extended to dynamic value measures, leading to the conclusion that the risk-sensitive value measure is the most robust approach for project evaluation. Practical applications of this method are thoroughly explored, offering valuable insights for tackling real-world project evaluation challenges.
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