All Mathematic Titles
 Vector calculus is the fundamental language of mathematical physics. It pro vides a way to describe physical quantities in threedimensional space and the way in which these quantities vary. Many top ...

Vector Analysis Versus Vector Calculus
The aim of this book is to facilitate the use of Stokes' Theorem in applications. The text takes a differential geometric point of view and provides for the student a bridge between pure and applied mathematics by carefully building a formal rigorous development of the topic and following this through to concrete applications in two and three variables.

Variational Methods in Imaging
Otmar Scherzer, Markus Grasmair, Harald Grossauer, Markus Haltmeier, Frank Lenzen
With its mathematically rigorous presentation, this book is a detailed treatment of the approach from an inverse problems point of view. It is geared towards graduate students and researchers in applied mathematics and can serve as a text for graduate courses.  From its origins in the minimization of integral functionals, the notion of 'variations' has evolved greatly in connection with applications in optimization, equilibrium, and control. It refers not on ...

ValueOriented Risk Management of Insurance Companies
This interdisciplinary book explores both actuarial methods and methods pertaining to classical internal control and classical risk management. The text offers insight on risk capital, capital allocation, performance measurement and valueoriented management. 
Upper and Lower Bounds for Stochastic Processes
In addition to its central focus on generic chaining, which allows for optimal bounds in Gaussian and Bernoulli processes, this volume on modern stochastic methods includes key applications and a variety of complete solutions to a number of classical problems.
 This book provides an undergraduate introduction to discrete and continuoustime Markov chains and their applications. It includes more than 70 exercises, along with complete solutions, that help illustrate and present all concepts.

Understanding and Using Linear Programming
The book is an introductory textbook mainly for students of computer science and mathematics. Its guiding phrase is 'what every theoretical computer scientist should know about linear programming'. A major focus is on applications of linear programming.
 In a sense, trigonometry sits at the center of high school mathematics. It originates in the study of geometry when we investigate the ratios of sides in similar right triangles, or when we look at th ...
 This text introduces transcendental numbers, focusing on the SchneiderLang theorem; Baker’s theorem and its applications to the transcendence of special values of Lseries; elliptic curve theory; the emerging theory of multiple zeta values and more.
 This book provides a concise introduction to topology and is necessary for courses in differential geometry, functional analysis, algebraic topology, etc. Topology is a fundamental tool in most branch ...

Tools for Computational Finance 5th Edition
Using a ‘learning by calculating’ approach, this comprehensive introductory text shows how stochastic computational methods are used across the field of finance. The revised and expanded fifth edition includes updates, as well as new material and exercises.