Mathematical Modeling in Science and Engineering
An Axiomatic ApproacheBook - 2012
Mathematical and computational modeling makes it possible topredict the behavior of a broad range of systems across a broadrange of disciplines. This text guides students and professionalsthrough the axiomatic approach, a powerful method that will enablethem to easily master the principle types of mathematical andcomputational models used in engineering and science. Readers willdiscover that this axiomatic approach not only enables them tosystematically construct effective models, it also enables them toapply these models to any macroscopic physical system.
Mathematical Modeling in Science and Engineering focuseson models in which the processes to be modeled are expressed assystems of partial differential equations. It begins with anintroductory discussion of the axiomatic formulation of basicmodels, setting the foundation for further topics such as:
Mechanics of classical and non-classical continuous systems
Solute transport by a free fluid
Flow of a fluid in a porous medium
Enhanced oil recovery
Throughout the text, diagrams are provided to help readersvisualize and better understand complex mathematical concepts. Aset of exercises at the end of each chapter enables readers to puttheir new modeling skills into practice. There is also abibliography in each chapter to facilitate further investigation ofindividual topics.
Mathematical Modeling in Science and Engineering is idealfor both students and professionals across the many disciplines ofscience and engineering that depend on mathematical andcomputational modeling to predict and understand complexsystems.