Bridging the gap between calculus and further abstract topics this book presents a well organized and much needed introduction to the foundations of analysis. It is composed of three sections: the analysis of functions of one real variable, including an introduction to the Lebesgue integral; how the appropriate abstractions lead to a powerful and widely applicable theoretical foundation for all branches of applied mathematics; an outlook to applied subjects in which analysis is used.
Hidden Connections, Double Meanings: A Mathematical Exploration
This book subverts and surprises. It explores mathematical topics, finding amazing similarities and looking at familiar objects in new ways. It shows mathematics as something mysterious, intriguing and pleasurably puzzling. You do not need to be a mathematician to enjoy this book. The style is relaxed. It emphasises insight and imagination rather than technique.
Contemporary Quantitative Finance: Essays in Honour of Eckhard Platen
Several contributors to this volume write a series of articles outlining contemporary advances in a number of key areas of mathematical finance such as, optimal control theory applied to finance, interest rate models, credit risk and credit derivatives, use of alternative stochastic processes, numerical solution of equations of mathematical finance, estimation of stochastic processes in finance.
This text, extensively class-tested over a decade at UC Berkeley and UC San Diego, explains the fundamentals of algorithms in a story line that makes the material enjoyable and easy to digest. Emphasis is placed on understanding the crisp mathematical idea behind each algorithm, in a manner that is intuitive and rigorous without being unduly formal
