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› Find signed collectible books: 'Analysis and Simulation of Chaotic Systems (Applied Mathematical Sciences Series: Vol.) (French Edition)'
Designed to be used at the graduate level in applied mathematics, studying mathematical analysis and computer simulation of dynamical systems. Computations and computer simulations are used throughout to illustrate the phanomena discussed and to supply readers with probes for use on new problems. 74 illustrations.
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› Find signed collectible books: 'An Introduction to the Mathematics of Neurons: Modeling in the Frequency Domain (Cambridge Studies in Mathematical Biology)'
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› Find signed collectible books: 'Mathematical Methods for Analysis of a Complex Disease (Courant Lecture Notes)'
Complex diseases involve most aspects of population biology, including genetics, demographics, epidemiology, and ecology. Mathematical methods, including differential, difference, and integral equations, numerical analysis, and random processes, have been used effectively in all of these areas. The aim of this book is to provide sufficient background in such mathematical and computational methods to enable the reader to better understand complex systems in biology, medicine, and the life sciences. It introduces concepts in mathematics to study population phenomena with the goal of describing complicated aspects of a disease, such as malaria, involving several species. The book is based on a graduate course in computational biology and applied mathematics taught at the Courant Institute of Mathematical Sciences in fall 2010. The mathematical level is kept to essentially advanced undergraduate mathematics, and the results in the book are intended to provide readers with tools for performing more in-depth analysis of population phenomena. Titles in this series are co-published with the Courant Institute of Mathematical Sciences at New York University.
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› Find signed collectible books: 'Mathematical Methods of Population Biology (Cambridge Studies in Mathematical Biology)'
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› Find signed collectible books: 'Mathematics in Medicine and the Life Sciences (Texts in Applied Mathematics)'
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› Find signed collectible books: 'Modeling and Simulation in Medicine and the Life Sciences (Texts in Applied Mathematics)'
The result of lectures given by the authors at New York University, the University of Utah, and Michigan State University, the material is written for students who have had only one term of calculus, but it contains material that can be used in modeling courses in applied mathematics at all levels through early graduate courses. Numerous exercises are given as well as solutions to selected exercises, so as to lead readers to discover interesting extensions of that material. Throughout, illustrations depict physiological processes, population biology phenomena, corresponding models, and the results of computer simulations. Topics covered range from population phenomena to demographics, genetics, epidemics and dispersal; in physiological processes, including the circulation, gas exchange in the lungs, control of cell volume, the renal counter-current multiplier mechanism, and muscle mechanics; to mechanisms of neural control. Each chapter is graded in difficulty, so a reading of the first parts of each provides an elementary introduction to the processes and their models.
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› Find signed collectible books: 'Nonlinear Oscillations in Biology (Lectures in Applied Mathematics (American Mathematical Society), V. 17.)'
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› Find signed collectible books: 'Quasi-Static State Analysis of Differential, Difference, Integral, and Gradient Systems (Courant Lecture Notes)'
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› Find signed collectible books: 'Random Perturbation Methods with Applications in Science and Engineering (Applied Mathematical Sciences)'
This book covers the impact of noise on models that are widely used in science and engineering applications. It applies perturbed methods, which assume noise changes on a faster time or space scale than the system being studied. The book is written i
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› Find signed collectible books: 'Weakly Connected Neural Networks (Applied Mathematical Sciences)'
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› Find signed collectible books: 'Analysis and Simulation of Chaotic Systems (Applied Mathematical Sciences)'
Beginning with realistic mathematical or verbal models of physical or biological phenomena, the author derives tractable models for further mathematical analysis or computer simulations. For the most part, derivations are based on perturbation methods, and the majority of the text is devoted to careful derivations of implicit function theorems, the method of averaging, and quasi-static state approximation methods. The duality between stability and perturbation is developed and used, relying heavily on the concept of stability under persistent disturbances. Relevant topics about linear systems, nonlinear oscillations, and stability methods for difference, differential-delay, integro-differential and ordinary and partial differential equations are developed throughout the book. For the second edition, the author has restructured the chapters, placing special emphasis on introductory materials in Chapters 1 and 2 as distinct from presentation materials in Chapters 3 through 8. In addition, more material on bifurcations from the point of view of canonical models, sections on randomly perturbed systems, and several new computer simulations have been added.
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