Stochastic Calculus for Finance I The Binomial Asset Pricing Model

This book evolved from the first ten years of the Carnegie Mellon professional Master's program in Computational Finance. The contents of the book have been used successfully with students whose mathematics background consists of calculus and calculus-bas...

 Global Biodiversity in a Changing Environment Scenarios for the 21st Century

The scientific community has voiced two general concerns about the future of the earth. Firstly, climatologists and oceanographers have focused on the changes in our physical environment, ie climate, oceans, and air. And secondly, environmental biologists...

 Convex Analysis and Nonlinear Optimization Theory and Examples

Optimization is a rich and thriving mathematical discipline. The theory underlying current computational optimization techniques grows ever more sophisticated. The powerful and elegant language of convex analysis unifies much of this theory. The aim of th...

 Exploring Multivariate Data with the Forward Search

This book is concerned with data in which the observations are independent and in which the response is multivariate. Anthony Atkinson has been Professor of Statistics at the London School of Economics since 1989. Before that he was a Professor at Imperia...

 Algebraic Aspects of the Advanced Encryption Standard

The Belgian block cipher Rijndael was chosen in 2000 by the U.S. government's National Institute of Standards and Technology (MIST) to be the successor to the Data Encryption Standard. Rijndael was subsequently standardized as the Advanced Encryption Stan...

 Difference Equations From Rabbits to Chaos

Difference equations are models of the world around us. From clocks to computers to chromosomes, processing discrete objects in discrete steps is a common theme. Difference equations arise naturally from such discrete descriptions and allow us to pose and...

 Difference Equations From Rabbits to Chaos

Difference equations are models of the world around us. From clocks to computers to chromosomes, processing discrete objects in discrete steps is a common theme. Difference equations arise naturally from such discrete descriptions and allow us to pose and...

 Model Order Reduction Techniques with applications in finite element analysis

Despite the continued rapid advance in computing speed and memory the increase in the complexity of models used by engineers persists in outpacing them. Even where there is access to the latest hardware, simulations are often extremely computationally int...

 Object Recognition Fundamentals and Case Studies

This volume introduces the fundamental concepts and tools involved in the design and implementation of object recognition systems. Divided into three parts, it first introduces the topic and covers the acquisition of images, then details 3-D object recons...

 Polynomials

The book extends the high school curriculum and provides a backdrop for later study in calculus, modern algebra, numerical analysis, and complex variable theory. Exercises introduce many techniques and topics in the theory of equations, such as evolution ...

 Combinatorial methods Free groups, polynomials, and free algebras

The main purpose of this book is to show how ideas from combinatorial group theory have spread to two other areas of mathematics: the theory of Lie algebras and affine algebraic geometry. Some of these ideas, in turn, came to combinatorial group theory f...

 Integers, Polynomials, and Rings A Course in Algebra

Mathematics is often regarded as the study of calculation, but in fact, mathematics is much more. It combines creativity and logic in order to arrive at abstract truths. This book is intended to illustrate how calculation, creativity, and logic can be com...

 Global Analysis in Mathematical Physics Geometric and Stochastic Models

This book gives a common treatment to three areas of application of Global analysis to Mathematical Physics previously considered quite distant from each other. These areas are the geometry of manifolds applied to classical mechanics, stochastic different...

 Stochastic Calculus for Finance II Continuous-Time Models

This book evolved from the first ten years of the Carnegie Mellon professional Master's program in Computational Finance. The contents of the book have been used successfully with students whose mathematics background consists of calculus and calculus-bas...

 Stochastic Calculus for Finance I The Binomial Asset Pricing Model

Stochastic Calculus for Finance evolved from the first ten years of the Carnegie Mellon Professional Master's program in Computational Finance. The content of this book has been used successfully with students whose mathematics background consists of calc...