Thomas Mikosch's reference book "Makamlar: The Musical Scales of Turkey" is the first systematic presentation of the scales and modes (makamlar) used in Turkish art music in English language. It includes the historical background, which can be traced from the Ottoman Empire through Arabia and Persia back to ancient Greece, a comprehensive explanation of the Turkish comma system and the notation used in Turkish music, and an analysis of over 50 different makamlar, their transpositions and modulations. There are even references to Arabic and Persian music as well as to how makamlar are being used in Romani music. It also describes the discrepancies between the music as it was performed in Ottoman times and how it is notated today.

Makamlar: The Musical Scales of Turkey

Arts & Photography

Thomas Mikosch

Music

lulu.com

This book offers a mathematical introduction to non-life insurance and, at the same time, to a multitude of applied stochastic processes. It gives detailed discussions of the fundamental models for claim sizes, claim arrivals, the total claim amount, and their probabilistic properties. Throughout the book the language of stochastic processes is used for describing the dynamics of an insurance portfolio in claim size space and time. In addition to the standard actuarial notions, the reader learns about the basic models of modern non-life insurance mathematics: the Poisson, compound Poisson and renewal processes in collective risk theory and heterogeneity and Bühlmann models in experience rating. The reader gets to know how the underlying probabilistic structures allow one to determine premiums in a portfolio or in an individual policy. Special emphasis is given to the phenomena which are caused by large claims in these models. What makes this book special are more than 100 figures and tables illustrating and visualizing the theory. Every section ends with extensive exercises. They are an integral part of this course since they support the access to the theory. The book can serve either as a text for an undergraduate/graduate course on non-life insurance mathematics or applied stochastic processes. Its content is in agreement with the European "Groupe Consultatif" standards. An extensive bibliography, annotated by various comments sections with references to more advanced relevant literature, make the book broadly and easiliy accessible.

Non-Life Insurance Mathematics: An Introduction with Stochastic Processes (Universitext)

Business & Money

Economics

Springer-Verlag GmbH & Co. KG

International reprint edition of ISBN-13: 978-9810235437. Paperback. Published in China. Contents in ENGLISH and totally same as US Edition (page by page).

Elementary Stochastic Calculus With Finance in View

Science & Math

Mathematics

World Scientific Publishing Company

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Books by Thomas Mikosch