Background
Hoppensteadt, Frank Charles was born on April 29, 1938 in Oak Park, Illinois, United States. Son of Frank Carl and Margaret Hoppensteadt.
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- Works
- Photos
- Works
book
Weakly Connected Neural Networks (Applied Mathematical Sciences)
(Devoted to local and global analysis of weakly connected ...)
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.
http://www.amazon.com/gp/product/0387949488/?tag=2022091-20
Modeling and Simulation in Medicine and the Life Sciences (Texts in Applied Mathematics) by Frank C. Hoppensteadt (2004-01-16)
http://www.amazon.com/gp/product/B01N8YA30Z/?tag=2022091-20
Weakly Connected Neural Networks (Applied Mathematical Sciences) by Frank C. Hoppensteadt (1997-07-10)
http://www.amazon.com/gp/product/B01FIZPAGK/?tag=2022091-20
Analysis and Simulation of Chaotic Systems (Applied Mathematical Sciences)
(Beginning with realistic mathematical or verbal models of...)
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.
http://www.amazon.com/gp/product/0387989439/?tag=2022091-20
{ ANALYSIS AND SIMULATION OF CHAOTIC SYSTEMS (APPLIED MATHEMATICAL SCIENCES #94) } by Hoppensteadt, Frank C (AUTHOR) Jan-21-2000 Hardcover
http://www.amazon.com/gp/product/B008PMFM6M/?tag=2022091-20
An Introduction to the Mathematics of Neurons: Modeling in the Frequency Domain (Cambridge Studies in Mathematical Biology)
(This book describes signal processing aspects of neural n...)
This book describes signal processing aspects of neural networks, how we receive and assess information. Beginning with a presentation of the necessary background material in electronic circuits, mathematical modeling and analysis, signal processing, and neurosciences, it proceeds to applications. These applications include small networks of neurons, such as those used in control of warm-up and flight in moths and control of respiration during exercise in humans. Next, Hoppensteadt develops a theory of mnemonic surfaces and presents material on pattern formation and cellular automata. Finally, the text addresses the large networks, such as the thalamus-reticular complex circuit, that may be involved in focusing attention, and the development of connections in the visual cortex. This book will serve as an excellent text for advanced undergraduates and graduates in the physical sciences, mathematics, engineering, medicine and life sciences.
http://www.amazon.com/gp/product/0521599296/?tag=2022091-20
Weakly Connected Neural Networks (Applied Mathematical Sciences) by Frank C. Hoppensteadt (1997-08-01)
http://www.amazon.com/gp/product/B01K0S87ME/?tag=2022091-20
An Introduction to the Mathematics of Neurons: Modeling in the Frequency Domain (Cambridge Studies in Mathematical Biology) by Frank C. Hoppensteadt (1997-06-28)
http://www.amazon.com/gp/product/B01JXNURIY/?tag=2022091-20
Analysis and Simulation of Chaotic Systems (Applied Mathematical Sciences) by Frank C. Hoppensteadt (2000-01-21)
http://www.amazon.com/gp/product/B01FKT2GGQ/?tag=2022091-20
Modeling and Simulation in Medicine and the Life Sciences (Texts in Applied Mathematics)
(The result of lectures given by the authors at New York U...)
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.
http://www.amazon.com/gp/product/0387950729/?tag=2022091-20
Analysis and Simulation of Chaotic Systems (Applied Mathematical Sciences)
(Beginning with realistic mathematical or verbal models of...)
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.
http://www.amazon.com/gp/product/B000WDRGOS/?tag=2022091-20
(An Introduction to the Mathematics of Neurons: Modeling in the Frequency Domain) Author: Frank C. Hoppensteadt published on (June, 2006)
http://www.amazon.com/gp/product/B000MC6U6O/?tag=2022091-20
Frank Charles Hoppensteadt
Edit Profilemathematician university administrator
Education
Bachelor, Butler U., 1960; Master of Science, University of Wisconsin, 1962; Doctor of Philosophy, University of Wisconsin, 1965.
Career
Instructor mathematics, University of Wisconsin, Madison, 1965; assistant professor mathematics, Michigan State University, East Lansing, 1965-1968; dean College Natural Science, Michigan State University, East Lansing, 1986-1995; director system science engineer research, professor mathematics and electrical engineering, Arizona State University, Tempe, since 1995; associate professor, New York University-Courant, New York City, 1968-1976; professor, 1976-1979; professor, U. Utah, Salt Lake City, 1977-1986; department chairman mathematics, U. Utah, Salt Lake City, 1982-1985.
Achievements
Works
book
-
Modeling and Simulation in Medicine and the Life Sciences (Texts in Applied Mathematics)
(The result of lectures given by the authors at New York U...)
-
Weakly Connected Neural Networks (Applied Mathematical Sciences)
(Devoted to local and global analysis of weakly connected ...)
-
Analysis and Simulation of Chaotic Systems (Applied Mathematical Sciences)
(Beginning with realistic mathematical or verbal models of...)
-
Analysis and Simulation of Chaotic Systems (Applied Mathematical Sciences)
(Beginning with realistic mathematical or verbal models of...)
-
An Introduction to the Mathematics of Neurons: Modeling in the Frequency Domain (Cambridge Studies in Mathematical Biology)
(This book describes signal processing aspects of neural n...)
- An Introduction to the Mathematics of Neurons
- Modeling and Simulation in Medicine and the Life Sciences (Texts in Applied Mathematics) by Frank C. Hoppensteadt (2004-01-16)
- Weakly Connected Neural Networks (Applied Mathematical Sciences) by Frank C. Hoppensteadt (1997-07-10)
- { ANALYSIS AND SIMULATION OF CHAOTIC SYSTEMS (APPLIED MATHEMATICAL SCIENCES #94) } by Hoppensteadt, Frank C (AUTHOR) Jan-21-2000 Hardcover
- Weakly Connected Neural Networks (Applied Mathematical Sciences) by Frank C. Hoppensteadt (1997-08-01)
- An Introduction to the Mathematics of Neurons: Modeling in the Frequency Domain (Cambridge Studies in Mathematical Biology) by Frank C. Hoppensteadt (1997-06-28)
- Analysis and Simulation of Chaotic Systems (Applied Mathematical Sciences) by Frank C. Hoppensteadt (2000-01-21)
- (An Introduction to the Mathematics of Neurons: Modeling in the Frequency Domain) Author: Frank C. Hoppensteadt published on (June, 2006)
-
Modeling and Simulation in Medicine and the Life Sciences (Texts in Applied Mathematics)
Membership
Member American Mathematics Society (chairman applied mathematics committee 1976-1980), Society Industrial and Applied Mathematics, Sigma Xi.
Connections
Children: Charles, Matthew, Sarah.
