Mathematics : Applied

This book presents the main theorems in bifurcation theory in an abstract setting and shows how they can be applied to partial differential equations. It will serve as an important reference for students and researchers in mathematics, physics, and engineering. more...

Price: $84.95

The theme of this book is an exposition of what we know about the physics underlying the onset of instability in liquid sheets and jets. Wave motion and breakup phenomena subsequent to the onset of instability are also carefully explained. Physical concepts are established through rigorous mathematics, accurate numerical analyses and comparison of theory with experiment. more...

Price: $73.00

This book is an attempt to give a systematic presentation of both logic and type theory from a categorical perspective, using the unifying concept of fibred category. Its intended audience consists of logicians, type theorists, category theorists and (theoretical) computer scientists. more...

Price: $178.50

Cells and Robots is an outcome of the multidisciplinary research extending over Biology, Robotics and Hybrid Systems Theory. It is inspired by modeling reactive behavior of the immune system cell population, where each cell is considered as an independent agent. In our modeling approach, there is no difference if the cells are naturally or artificially created agents, such as robots. This appears even more evident when we introduce a case study concerning a large-size robotic population scenario. Under this scenario, we also formulate the optimal control of maximizing the probability of robotic presence in a given region and discuss the application of the Minimum Principle for partial differential equations to this problem. Simultaneous consideration of cell and robotic populations is of mutual benefit for Biology and Robotics, as well as for the general understanding of multi-agent system dynamics. The text of this monograph is based on the PhD thesis of the first author. The work was a runner-up for the fifth edition of the Georges Giralt Award for the best European PhD thesis in Robotics, annually awarded by the European Robotics Research Network (EURON). more...

Price: $109.00

This volume emphasises studies related to. classical Stefan problems. The term "Stefan problem" is. generally used for heat transfer problems with. phase-changes such. as from the liquid to the solid. Stefan problems have some. characteristics that are typical of them, but certain problems. arising in fields such as mathematical physics and engineering. also exhibit characteristics similar to them. The term. ``classical" distinguishes the formulation of these problems from. their weak formulation, in which the solution need not possess. classical derivatives. Under suitable assumptions, a weak solution. could be as good as a classical solution. In hyperbolic Stefan. problems, the characteristic features of Stefan problems are. present but unlike in Stefan problems, discontinuous solutions are. allowed because of the hyperbolic nature of the heat equation. The. numerical solutions of inverse Stefan problems, and the analysis of. direct Stefan problems are so integrated that it is difficult to. discuss one without referring to the other. So no strict line of. demarcation can be identified between a classical Stefan problem. and other similar problems. On the other hand, including every. related problem in the domain of classical Stefan problem would. require several volumes for their description. A suitable. compromise has to be made. The basic concepts, modelling, and analysis of the classical. Stefan problems have been extensively investigated and there seems. to be a need to report the results at one place. This book. attempts to answer that need. Within the framework of the. classical Stefan problem with the emphasis on the basic concepts,. modelling and analysis, it tries to include some weak. solutions and analytical and numerical solutions also. The main. considerations behind this are the continuity and the clarity of. exposition. For example, the description of some phase-field. models in Chapter 4 arose out of this need for a smooth transition more...

Price: $114.00