Harmonic Mappings in the Plane

Harmonic mappings in the plane are univalent complex-valued harmonic functions of a complex variable. Conformal mappings are a special case where the real and imaginary parts are conjugate harmonic functions, satisfying the Cauchy-Riemann equations. Harmo...

 Building Websites with TYPO3

The book has 8 chapters, each dealing with a different aspect of TYPO3 and by the end you can genuinely claim to have tamed the beast that is TYPO3. TYPO3 is a popular, free, feature-rich open source content management system. It has the flexibility an...

 Modeling Complex Systems

This book explores the process of modeling complex systems in the widest sense of that term, drawing on examples from such diverse fields as ecology, epidemiology, sociology, seismology, as well as economics. It also provides the mathematical tools for st...

 Complex Analysis with Vector Calculus

Based on many years of experience of the author Complex Analysis with Vector Calculus provides clear and condensed treatment of the subject. It is primarily intended to be used by undergraduate students of engineering and science as a part of a course in ...

 The Complex Monge-Ampere Equation and Pluripotential Theory

We collect here results on the existence and stability of weak solutions of complex Monge-Ampére equation proved by applying pluripotential theory methods and obtained in past three decades. First we set the stage introducing basic concepts and theorems o...

 Complex Variables Introduction and Applications

Complex variables provide powerful methods for attacking problems that can be very difficult to solve in any other way, and it is the aim of this book to provide a thorough grounding in these methods and their application. Part I of this text provides an ...

 Why stock markets crash Critical events in complex financial systems

The scientific study of complex systems has transformed a wide range of disciplines in recent years, enabling researchers in both the natural and social sciences to model and predict phenomena as diverse as earthquakes, global warming, demographic pattern...

 Complex Variables with Applications

Complex numbers can be viewed in several ways: as an element in a field, as a point in the plane, and as a two-dimensional vector. Examined properly, each perspective provides crucial insight into the interrelations between the complex number system and i...

 Spherical CR Geometry and Dehn Surgery

This book proves an analogue of William Thurston's celebrated hyperbolic Dehn surgery theorem in the context of complex hyperbolic discrete groups, and then derives two main geometric consequences from it. The first is the construction of large numbers of...

 Theory and Problems of Laplace Transforms

This book provides a clear, concise explanation of Laplace transforms, or operational calculus--now necessary knowledge for engineers, physicists, mathematicians and other scientists. Definitions, principles and theorems are illustrated and reinforced by ...

 The Power of Events An Introduction to Complex Event Processing in Distributed Enterprise Systems

Complex Event Processing (CEP) is a defined set of tools and techniques for analyzing and controlling the complex series of interrelated events that drive modern distributed information systems. This emerging technology helps IS and IT professionals under...

 Collectives and the Design of Complex Systems

With the advent of extremely affordable computing power, the world is becoming filled with distributed systems of computationally sophisticated components. However, no current scientific discipline offers a thorough understanding of the relation of such ...

 Interaction Design for Complex Problem Solving Developing Useful and Usable Software

In depth case studies ranging from IT troubleshooting to marketing analysis to risk assessments in healthcare show exactly where and what goes wrong in real world activities and how to improve them. Presents a system and framework for analyzing complex ...

 Statistical mechanics of complex networks

Networks can provide a useful model and graphic image useful for the description of a wide variety of web-like structures in the physical and man-made realms, e.g. protein networks, food webs and the Internet. The contributions gathered in the present vol...