Advanced Lectures in Mathematics, Volume 39
Published: 13 September 2017
Publisher: International Press of Boston, Inc.
Paperback
622 pages
This volume consists of survey papers and introductions pertaining to Hodge theory, variation of Hodge structures, L2-methods in complex analysis and geometry, and related results in algebraic geometry. Contributors include some of the worldfs leading experts: Ayoub, Bierstone, Griffiths, M. Green, Hain, and Ohsawa.
2017 Sep
9781571463517
paperback
7h x 10h
Harvard CMSA Series in Mathematics, Volume 1
To Be Published: 20 October 2017
Publisher: International Press of Boston, Inc.
Hardcover
164 pages
During the 2015?2016 year at Harvard Universityfs Center of Mathematical Sciences and Applications (CMSA), several researchers working in mathematical general relativity presented lectures on modern topics of research in the field of gNon-linear Equations.h This volume presents articles?by those researchers and their co-authors?drawn from their CMSA lectures.
Specific topics include the Cauchy problem for the Einstein equations in cosmological and non-cosmological settings; investigation of stability as well as singularities (black holes) of classes of spacetimes; initial data engineering; gravitational radiation; and asymptotics of spacetimes, quasi-local energies, and their limits.
The content of this volume reflects some of the activities at the Harvard CMSA during the 2015?2016 program, and provides insights into active areas of research in mathematical general relativity that can benefit scholars working in PDEs, geometric analysis, and general relativity.
This volume is part of the Harvard CMSA Series in Mathematics book series.
2017 Oct
9781571463449
hardcover
7h x 10h
ISBN: 978-1-119-40910-6
744 pages
February 2018
This book examines the applications of nonparametric prediction methods in portfolio selection. The first chapter introduces basic financial assets and is useful for people with a background solely in mathematics and statistics. Next, the book is divided into four main parts: statistical finance, risk management, portfolio management, and pricing of securities. Part I on statistical finance introduces basic concepts, techniques, and methods, such as univariate data analysis, multivariate data analysis, time series analysis, and prediction. Part II covers volatility prediction and quantile estimation. Next, Part III on portfolio management examines basic concepts of portfolio theory, performance measurement, Markowitz portfolios, dynamic portfolio selection, and option portfolios. Finally, Part IV on pricing of securities discusses principles of asset pricing, Black-Scholes pricing and hedging, quadratic pricing and hedging, as well as interest rate derivatives. Throughout the book, the author emphasizes economic significance more than statistical significance. For example, there is more emphasis on the Sharpe ratios of portfolios, than on the predictability of asset returns in terms of the mean squared prediction error. This book contains a strong graphical component. The author applies various visualization techniques to present the results and to describe the methods.
Hardback
Published: 22 February 2018 (Estimated)
512 Pages
234x153mm
ISBN: 9780198790396
The first book on philosophy and model theory: will set the agenda for study in this area
Explores the uses of model theory across philosophy of mathematics, philosophy of science, philosophy of logic and language, and metaphysics
Suitable for any reader who has taken an introductory course
Accessible and self-contained: everything is explained as the book proceeds
Features a historical appendix by the eminent mathematician and logician Wilfrid Hodge
Hardback
Published: 29 March 2018 (Estimated)
144 Pages
196x129mm
ISBN: 9780198815679 (hard cover)
ISBN: 9780198815686 (soft cover)
A clear and authoritative guide to the logic of truth and paradox
Written by three leading philosopher-logicians
Covers all the key ideas and approaches in a concise and accessible way
Ideal for use by advanced undergraduate or graduate students who have taken a standard logic course