James Keener – författare
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6 produkter
6 produkter
1 212 kr
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This book is written for beginning graduate students in applied mathematics, science, and engineering, and is appropriate as a one-year course in applied mathematical techniques (although I have never been able to cover all of this material in one year). We assume that the students have studied at an introductory undergraduate level material on linear algebra, ordinary and partial differential equations, and complex variables. The emphasis of the book is a working, systematic understanding of classical techniques in a modern context. Along the way, students are exposed to models from a variety of disciplines. It is hoped that this course will prepare students for further study of modern techniques and in-depth modeling in their own specific discipline.
1 386 kr
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This book looks in detail at a wide selection of mathematical models in physiology, showing how physiological problems can be formulated and studied mathematically, and how such models give rise to interesting and challenging mathematical questions.
1 719 kr
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Principles of Applied Mathematics provides a comprehensive look at how classical methods are used in many fields and contexts. Updated to reflect developments of the last twenty years, it shows how two areas of classical applied mathematics,spectral theory of operators and asymptotic analysis,are useful for solving a wide range of applied science problems. Topics such as asymptotic expansions, inverse scattering theory, and perturbation methods are combined in a unified way with classical theory of linear operators. Several new topics, including wavelength analysis, multigrid methods, and homogenization theory, are blended into this mix to amplify this theme.This book is ideal as a survey course for graduate students in applied mathematics and theoretically oriented engineering and science students. This most recent edition, for the first time, now includes extensive corrections collated and collected by the author.
717 kr
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This book is an overview of mathematical physiology. It contains a variety of physiological problems and the current and new mathematical techniques used in this area. Numerous exercises and models are included.
990 kr
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This book looks in detail at a wide selection of mathematical models in physiology, showing how physiological problems can be formulated and studied mathematically, and how such models give rise to interesting and challenging mathematical questions.
1 209 kr
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The intersection of mathematics and physiology has a rich history, with mathematical models playing a critical role in advancing our understanding of physiological systems, from basic cellular dynamics to complex systems biology. Through the examination of both classic and contemporary models, this book shows how real-world physiological problems can be studied and understood using mathematical techniques. Now more accessible than ever, this updated edition is specifically designed for both students and instructors. It offers a host of new features aimed at enhancing the learning experience:Complete code for all figures: Every figure in the book is accompanied by full computational code—available in a variety of formats, including Matlab, Python and XPPAUT—enabling readers to replicate and experiment with the models themselves.Solutions: Full solutions, including code, for all exercises, are provided to reinforce key concepts and help teachers and students develop hands-on experience with the mathematical tools discussed.Improved clarity: While the core material remains largely the same, numerous sections have been rewritten and clarified, with additional figures and more detailed explanations.Convenient resources: All figures are now available for download in PDF format, making them ideal for inclusion in lecture slides or presentations. This third edition builds upon the solid foundation of the earlier versions, with carefully updated material that ensures the book remains a valuable resource for anyone studying or teaching quantitative physiology. Whether you're a student diving into the world of mathematical modeling or an instructor looking for clear, practical resources for your course, Mathematical Physiology provides the perfect balance of theory, application, and computational tools. James Keener is a Distinguished Professor of Mathematics at the University of Utah. He and his wife live in Salt Lake City, but don't be surprised if he moves to the mountains.James Sneyd is a Professor of Mathematics at the University of Auckland in New Zealand, where he has worked for about five thousand years. He lives with his wife beside a beach, and would rather be swimming. Reviews of the first edition:...probably the best book ever written on the interdisciplinary field of mathematical physiology. Mathematical Reviews, 2000In addition to being good reading, excellent pedagogy, and appealing science, the exposition is lucid and clear, and there are many good problem sets to choose from... Highly recommended. Mathematical Biosciences, 1999Both authors are seasoned experts in the field of mathematical physiology and particularly in the field of excitability, calcium dynamics and spiral waves. It directs students to become not merely skilled technicians in biological research but masters of the science. SIAM, 2004The first edition was the winner of the 1998 Association of American Publishers "Best New Title in Mathematics.”