Frank C. Hoppensteadt's Books

Quasi-Static State Analysis of Differential, Difference, Integral, and Gradient Systems

By: Frank Charles Hoppensteadt

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Quasi-Static State Analysis of Differential, Difference, Integral, and Gradient Systems

By: Frank Charles Hoppensteadt

Based on a course on advanced topics in differential equations given at the Courant Institute of Mathematical Sciences, this book describes aspects of mathematical modeling, analysis, computer simulation, and visualization in the mathematical sciences and engineering that involve singular perturbations.

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Page Count

182

Publisher

American Mathematical Soc.

Published Date

ISBN 10

0821852698

ISBN 13

9780821852699

Modeling and Simulation in Medicine and the Life Sciences

By: Frank C. Hoppensteadt,Charles S. Peskin

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Modeling and Simulation in Medicine and the Life Sciences

By: Frank C. Hoppensteadt,Charles S. Peskin

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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Page Count

362

Publisher

Springer Science & Business Media

Published Date

ISBN 10

0387215719

ISBN 13

9780387215716

Random Perturbation Methods with Applications in Science and Engineering

By: Anatoli V. Skorokhod,Frank C. Hoppensteadt,Habib D. Salehi

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Random Perturbation Methods with Applications in Science and Engineering

By: Anatoli V. Skorokhod,Frank C. Hoppensteadt,Habib D. Salehi

This book develops methods for describing random dynamical systems, and it illustrats how the methods can be used in a variety of applications. Appeals to researchers and graduate students who require tools to investigate stochastic systems.

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Page Count

500

Publisher

Springer Science & Business Media

Published Date

ISBN 10

0387224467

ISBN 13

9780387224466

Weakly Connected Neural Networks

By: Frank C. Hoppensteadt,Eugene M. Izhikevich

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Weakly Connected Neural Networks

By: Frank C. Hoppensteadt,Eugene M. Izhikevich

Devoted to local and global analysis of weakly connected systems with applications to neurosciences, this book uses bifurcation theory and canonical models as the major tools of analysis. It presents a systematic and well motivated development of both weakly connected system theory and mathematical neuroscience, addressing bifurcations in neuron and brain dynamics, synaptic organisations of the brain, and the nature of neural codes. The authors present classical results together with the most recent developments in the field, making this a useful reference for researchers and graduate students in various branches of mathematical neuroscience.

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Page Count

404

Publisher

Springer Science & Business Media

Published Date

ISBN 10

1461218284

ISBN 13

9781461218289

Analysis and Simulation of Chaotic Systems

By: Frank C. Hoppensteadt

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Analysis and Simulation of Chaotic Systems

By: Frank C. Hoppensteadt

Analysis and Simulation of Chaotic Systems is a text designed to be used at the graduate level in applied mathematics for students from mathematics, engineering, physics, chemistry and biology. The book can be used as a stand-alone text for a full year course or it can be heavily supplemented with material of more mathematical, more engineering or more scientific nature. Computations and computer simulations are used throughout this text to illustrate phenomena discussed and to supply readers with probes to use on new problems.

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Page Count

321

Publisher

Springer Science & Business Media

Published Date

ISBN 10

1475722753

ISBN 13

9781475722758

Mathematics in Medicine and the Life Sciences

By: Frank C. Hoppensteadt,Charles S. Peskin

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Mathematics in Medicine and the Life Sciences

By: Frank C. Hoppensteadt,Charles S. Peskin

The aim of this book is to introduce the subject of mathematical modeling in the life sciences. It is intended for students of mathematics, the physical sciences, and engineering who are curious about biology. Additionally, it will be useful to students of the life sciences and medicine who are unsatisfied with mere description and who seek an understanding of biological mechanism and dynamics through the use of mathematics. The book will be particularly useful to premedical students, because it will introduce them not only to a collection of mathematical methods but also to an assortment of phenomena involving genetics, epidemics, and the physiology of the heart, lung, and kidney. Because of its introductory character, mathematical prerequisites are kept to a minimum; they involve only what is usually covered in the first semester of a calculus sequence. The authors have drawn on their extensive experience as modelers to select examples which are simple enough to be understood at this elementary level and yet realistic enough to capture the essence of significant biological phenomena drawn from the areas of population dynamics and physiology. Because the models presented are realistic, the book can serve not only as an introduction to mathematical methods but also as a mathematical introduction to the biological material itself. For the student, who enjoys mathematics, such an introduction will be far more stimulating and satisfying than the purely descriptive approach that is traditional in the biological sciences.

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Age

Page Count

257

Publisher

Springer Science & Business Media

Published Date

ISBN 10

1475741316

ISBN 13

9781475741315

Book's by Frank C. Hoppensteadt

Quasi-Static State Analysis of Differential, Difference, Integral, and Gradient Systems

Quasi-Static State Analysis of Differential, Difference, Integral, and Gradient Systems

Modeling and Simulation in Medicine and the Life Sciences

Modeling and Simulation in Medicine and the Life Sciences

Random Perturbation Methods with Applications in Science and Engineering

Random Perturbation Methods with Applications in Science and Engineering

Weakly Connected Neural Networks

Weakly Connected Neural Networks

Analysis and Simulation of Chaotic Systems

Analysis and Simulation of Chaotic Systems

Mathematics in Medicine and the Life Sciences

Mathematics in Medicine and the Life Sciences

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