Shigeo Kusuoka Livres

Focused on advanced concepts in probability theory and mathematical finance, this book reviews essential results before delving into discrete and continuous martingales, stochastic integrations, and differential equations influenced by Brownian motion. It culminates in practical applications within mathematical finance, catering to university seniors and graduate students. The text emphasizes rigorous proofs for theorems and propositions, requiring readers to have a foundational understanding of linear algebra and measure theory.

The book explores advanced mathematical concepts and their applications in economics, focusing on mass transportation problems, functional evolution equations, and nonlinear matrix theory. It delves into optimization techniques involving non-C1 constraints and discusses the Monte Carlo method for pricing financial derivatives. Additionally, it provides a historical perspective on the development of mathematical economics in Vienna during the interwar period, highlighting significant contributions and theoretical advancements in the field.

This series aims to connect mathematicians seeking challenges from economic theories with economists in need of mathematical tools for their research, highlighting the mutual influence between economics and mathematics in addressing constrained optimization and equilibrium problems.

A lot of economic problems can be formulated as constrained optimizations and equilibration of their solutions. Various mathematical theories have been supplying economists with indispensable machineries for these problems arising in economic theory. Conversely, mathematicians have been stimulated by various mathematical difficulties raised by economic theories. The series is designed to bring together those mathematicians who are seriously interested in getting new challenging stimuli from economic theories with those economists who are seeking effective mathematical tools for their research.

A lot of economic problems can be formulated as constrained optimizations and equilibration of their solutions. Various mathematical theories have been supplying economists with indispensable machineries for these problems arising in economic theory. Conversely, mathematicians have been stimulated by various mathematical difficulties raised by economic theories. The series is designed to bring together those mathematicians who are seriously interested in getting new challenging stimuli from economic theories with those economists who are seeking effective mathematical tools for their research.

The series is designed to bring together those mathematicians who are seriously interested in getting new challenging stimuli from economic theories with those economists who are seeking effective mathematical tools for their research. A lot of economic problems can be formulated as constrained optimizations and equilibration of their solutions. Various mathematical theories have been supplying economists with indispensable machineries for these problems arising in economic theory. Conversely, mathematicians have been stimulated by various mathematical difficulties raised by economic theories.

The series is designed to bring together those mathematicians who are seriously interested in getting new challenging stimuli from economic theories with those economists who are seeking effective mathematical tools for their research. A lot of economic problems can be formulated as constrained optimizations and equilibration of their solutions. Various mathematical theories have been supplying economists with indispensable machineries for these problems arising in economic theory. Conversely, mathematicians have been stimulated by various mathematical difficulties raised by economic theories.