This monograph is a sequel to Brownian Motion and Stochastic Calculus by the same authors. Within the context of Brownian-motion-driven asset prices it develops contingent claim pricing and optimal consumption investment in both complete and incomplete markets. The lat... Lees meer.

As a graduate student working in quantum optics I encountered the question that might be taken as the theme of this book. Quantum optics deals primarily with dynamics quantum dynamics and in doing so makes extensive use of words like quantum fluctuations and quantu... Lees meer.

The best-selling best known text in Mathematical Economics course Chiang teaches the basic mathematical methods indispensable for understanding current economic literature. the book s patient explanations are written in an informal non-intimidating style. To undersco... Lees meer.

Joanne Morgan s fascinating and practical book presents a selection of mathematical methods for twenty topics in the secondary maths curriculum. Some of the methods featured are used widely in schools around the world others are only used in a small number of countries... Lees meer.

In recent years the methods of modern differential geometry have become of considerable importance in theoretical physics and have found application in relativity and cosmology high-energy physics and field theory thermodynamics fluid dynamics and mechanics. This tex... Lees meer.

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This book translated from Russian is a comprehensive guide to mathematical methods in physics offering theoretical insights and problem-solving techniques. Authored by experienced physicists it is suitable for self-study and has been effectively used in fields such... Lees meer.

Updates the original comprehensive introduction to the areas of mathematical physics encountered in advanced courses in the physical sciences. Intuition and computational abilities are stressed. Original material on DE and multiple integrals has been expanded. Updat... Lees meer.

The underlying strategy of deriving the finite element solution is introduced using linear ordinary differential equations thus allowing the basic concepts of the finite element solution to be introduced without being obscured by the additional mathematical detail requ... Lees meer.

This book gives a concise introduction to the basic techniques needed for the theoretical analysis of the Maxwell Equations and filters in an elegant way the essential parts e.g. concerning the various function spaces needed to rigorously investigate the boundary int... Lees meer.

Surprising to many an eff- tive weapon just as quiet mathematics can serve as a powerful tool to combat terrorism providing the ability to connect the dots and reveal the organizational pattern of something so sinister.... Lees meer.

A collection of practical lessons that demonstrates how the true mathematician learns to draw unexpected analogies tackle problems from unusual angles and extract information from the data. The definitive guide to mathematical problem solving from one of the grea... Lees meer.

We live in a new age for statistical inference where modern scientific technology such as microarrays and fMRI machines routinely produce thousands and sometimes millions of parallel data sets each with its own estimation or testing problem. Doing thousands of problem... Lees meer.

The purpose of this book is to provide an accessible yet comprehensive account of data science and machine learning. It is intended for anyone interested in gaining a better understanding of the mathematics and statistics that underpin the rich variety of ideas and ma... Lees meer.

This new version of a classic updates much of the material in earlier editions including the first chapter on the history of the field. Important modifications reflect major discoveries of the past decades. A historical perspective is maintained throughout. The reader... Lees meer.