Linear Algebra Examples C-2: Geometrical Vectors, Vector Spaces and Linear Maps
The book is a collection of solved problems in linear algebra, the second volume covers geometrical vectors, vector spaces and linear maps. All examples are solved, and the solutions usually consist of step-by-step instructions, and are designed to assist students in methodically solving problems.
Linear Algebra Examples C-1: Linear Equations, Matrices and Determinants
The book is a collection of solved problems in linear algebra, this first volume covers linear equations, matrices and determinants. All examples are solved, and the solutions usually consist of step-by-step instructions, and are designed to assist students in methodically solving problems.
This book is a concise, self-contained introduction to abstract algebra which stresses its unifying role in geometry and number theory. There is a strong emphasis on historical motivation- both to trace abstract concepts to their concrete roots, but also to show the power of new ideas to solve old problems. This approach shows algebra as an integral part of mathematics and makes this text more informative to both beginners and experts than others. Classical results of geometry and number theory are used to motivate and illustrate algebraic techniques, and classical algebra itself is used to motivate the problem of solvability by radicals and its solution via Galois theory.
Research in the statistical analysis of extreme values has flourished over the past decade: new probability models, inference and data analysis techniques have been introduced; and new application areas have been explored. Statistics of Extremes comprehensively covers a wide range of models and application areas, including risk and insurance: a major area of interest and relevance to extreme value theory. Case studies are introduced providing a good balance of theory and application of each model discussed, incorporating many illustrated examples and plots of data.
Quantitative Finance: Its Development, Mathematical Foundations, and Current Scope
A rigorous, yet accessible, introduction to essential topics in mathematical finance Presented as a course on the topic, Quantitative Finance traces the evolution of financial theory and provides an overview of core topics associated with financial investments. With its thorough explanations and use of real-world examples, this book carefully outlines instructions and techniques for working with essential topics found within quantitative finance including portfolio theory, pricing of derivatives, decision theory, and the empirical behavior of prices.
