Mathematical Foundations of Neuroscience (Interdisciplinary Applied Mathematics)

Valutazione media 4,71
( su 7 valutazioni fornite da Goodreads )
 
9780387877075: Mathematical Foundations of Neuroscience (Interdisciplinary Applied Mathematics)

This book applies methods from nonlinear dynamics to problems in neuroscience. It uses modern mathematical approaches to understand patterns of neuronal activity seen in experiments and models of neuronal behavior. The intended audience is researchers interested in applying mathematics to important problems in neuroscience, and neuroscientists who would like to understand how to create models, as well as the mathematical and computational methods for analyzing them. The authors take a very broad approach and use many different methods to solve and understand complex models of neurons and circuits. They explain and combine numerical, analytical, dynamical systems and perturbation methods to produce a modern approach to the types of model equations that arise in neuroscience. There are extensive chapters on the role of noise, multiple time scales and spatial interactions in generating complex activity patterns found in experiments. The early chapters require little more than basic calculus and some elementary differential equations and can form the core of a computational neuroscience course. Later chapters can be used as a basis for a graduate class and as a source for current research in mathematical neuroscience. The book contains a large number of illustrations, chapter summaries and hundreds of exercises which are motivated by issues that arise in biology, and involve both computation and analysis. Bard Ermentrout is Professor of Computational Biology and Professor of Mathematics at the University of Pittsburgh. David Terman is Professor of Mathematics at the Ohio State University.

Le informazioni nella sezione "Riassunto" possono far riferimento a edizioni diverse di questo titolo.

Review:

From the reviews:

“This excellent 422 page hardcover publication is an accessible and concise monograph. ... Mathematical Foundations is a timely contribution that will prove useful to mathematics graduate students and faculty interested in the application of dynamical systems theory to cellular and systems neuroscience. ... welcome addition to the pedagogical literature. ... For mathematics graduate students who are investigating the field of computational neuroscience, I would highly recommend Mathematical Foundations of Neuroscience as their first computational neuroscience text.” (Gregory D. Smith, The Mathematical Association of America, December, 2010)

"...it is a good substitute for a lengthy regime of abstract maths classes, but it is also well integrated into the field of neuroscience. Ermentrout and Terman's book conveys much of the advanced mathematics used in theoretical neuroscience today." (Vincent A. Billock, Nature)

“Gives an engaging, detailed, and truly authoritative treatment of neural dynamics ... . suited for mathematicians at the advanced undergraduate and beginning graduate level, and beyond, who wish to enter the field. ... a valuable and often-consulted text for researchers. It is also an excellent resource for instructors of intermediate to advanced courses ... . the text is very readable, even with its impressively wide scope. In addition, many subsections give short, independent reviews of mathematical topics that will be very useful in the classroom.” (Krešimir Josić and Eric Shea-Brown, SIAM Review, Vol. 53 (3), 2011)

“This book emphasises the use of dynamical systems techniques in building and understanding models of neural cells and tissues. It has an extensive set of exercises at the end of each chapter and is ideally suited as a course text in a final-year undergraduate or first-year Ph.D. applied mathematics programme in mathematical neuroscience. ... Overall this is a unique text on the topic of mathematical neuroscience ... that fills a much-needed gap in the mathematical literature for both students and researchers.” (Stephen Coombes, Mathematical Reviews, Issue 2012 a)

Le informazioni nella sezione "Su questo libro" possono far riferimento a edizioni diverse di questo titolo.

I migliori risultati di ricerca su AbeBooks

1.

G. Bard Ermentrout, David Terman
Editore: Springer-Verlag New York Inc., United States (2010)
ISBN 10: 038787707X ISBN 13: 9780387877075
Nuovi Rilegato Quantità: 1
Da
The Book Depository
(London, Regno Unito)
Valutazione libreria
[?]

Descrizione libro Springer-Verlag New York Inc., United States, 2010. Hardback. Condizione libro: New. Language: English . Brand New Book. This book applies methods from nonlinear dynamics to problems in neuroscience. It uses modern mathematical approaches to understand patterns of neuronal activity seen in experiments and models of neuronal behavior. The intended audience is researchers interested in applying mathematics to important problems in neuroscience, and neuroscientists who would like to understand how to create models, as well as the mathematical and computational methods for analyzing them. The authors take a very broad approach and use many different methods to solve and understand complex models of neurons and circuits. They explain and combine numerical, analytical, dynamical systems and perturbation methods to produce a modern approach to the types of model equations that arise in neuroscience. There are extensive chapters on the role of noise, multiple time scales and spatial interactions in generating complex activity patterns found in experiments. The early chapters require little more than basic calculus and some elementary differential equations and can form the core of a computational neuroscience course.Later chapters can be used as a basis for a graduate class and as a source for current research in mathematical neuroscience. The book contains a large number of illustrations, chapter summaries and hundreds of exercises which are motivated by issues that arise in biology, and involve both computation and analysis. Bard Ermentrout is Professor of Computational Biology and Professor of Mathematics at the University of Pittsburgh. David Terman is Professor of Mathematics at the Ohio State University. Codice libro della libreria AAU9780387877075

Maggiori informazioni su questa libreria | Fare una domanda alla libreria

Compra nuovo
EUR 57,60
Convertire valuta

Aggiungere al carrello

Spese di spedizione: GRATIS
Da: Regno Unito a: U.S.A.
Destinazione, tempi e costi

2.

G. Bard Ermentrout, David H. Terman
Editore: Springer New York 2010-07-08, New York, N.Y. (2010)
ISBN 10: 038787707X ISBN 13: 9780387877075
Nuovi Rilegato Quantità: 1
Da
Blackwell's
(Oxford, OX, Regno Unito)
Valutazione libreria
[?]

Descrizione libro Springer New York 2010-07-08, New York, N.Y., 2010. hardback. Condizione libro: New. Codice libro della libreria 9780387877075

Maggiori informazioni su questa libreria | Fare una domanda alla libreria

Compra nuovo
EUR 54,55
Convertire valuta

Aggiungere al carrello

Spese di spedizione: EUR 3,36
Da: Regno Unito a: U.S.A.
Destinazione, tempi e costi

3.

G. Bard Ermentrout, David Terman
Editore: Springer-Verlag New York Inc.
ISBN 10: 038787707X ISBN 13: 9780387877075
Nuovi Rilegato Quantità: 1
Da
THE SAINT BOOKSTORE
(Southport, Regno Unito)
Valutazione libreria
[?]

Descrizione libro Springer-Verlag New York Inc. Hardback. Condizione libro: new. BRAND NEW, Mathematical Foundations of Neuroscience, G. Bard Ermentrout, David Terman, One cansay that the ?eld ofcomputationalneurosciencestarted with the 1952paper ofHodgkinandHuxleyin whichtheydescribe,throughnonlinearpartialdifferential equations, the genesis of the action potential in the giant axon of the squid. These equations and the methods that arose from this combination of modeling and - periments have since formed the basis for nearly every subsequent model for active cells.TheHodgkin-Huxleymodelandahostofsimpli?edequationsthatarederived fromit haveinspiredthedevelopmentofnewandbeautifulmathematics.Dynamical systems and computational methods are now being used to study activity patterns in a variety of neuronal systems. It is becoming increasingly recognized, by both experimentalists and theoreticians, that issues raised in neuroscience and the ma- ematical analysis of neuronal models provide unique interdisciplinary collaborative research and educational opportunities. This book is motivated by a perceived need for an overview of how dynamical systems and computational analysis have been used in understanding the types of models that come out of neuroscience. Our hope is that this will help to stimulate an increasing number of collaborations between mathematicians and other th- reticians, looking for interesting and relevant problems in applied mathematics and dynamical systems, and neuroscientists, looking for new ways to think about the biological mechanisms underlying experimental data. The book arose out of several courses that the authors have taught. One of these is a graduate course in computational neuroscience that has students from the d- ciplines of psychology, mathematics, computer science, physics, and neuroscience. Codice libro della libreria B9780387877075

Maggiori informazioni su questa libreria | Fare una domanda alla libreria

Compra nuovo
EUR 51,58
Convertire valuta

Aggiungere al carrello

Spese di spedizione: EUR 7,78
Da: Regno Unito a: U.S.A.
Destinazione, tempi e costi

4.

G. Bard Ermentrout, David Terman
Editore: Springer-Verlag New York Inc., United States (2010)
ISBN 10: 038787707X ISBN 13: 9780387877075
Nuovi Rilegato Quantità: 1
Da
The Book Depository US
(London, Regno Unito)
Valutazione libreria
[?]

Descrizione libro Springer-Verlag New York Inc., United States, 2010. Hardback. Condizione libro: New. Language: English . Brand New Book. This book applies methods from nonlinear dynamics to problems in neuroscience. It uses modern mathematical approaches to understand patterns of neuronal activity seen in experiments and models of neuronal behavior. The intended audience is researchers interested in applying mathematics to important problems in neuroscience, and neuroscientists who would like to understand how to create models, as well as the mathematical and computational methods for analyzing them. The authors take a very broad approach and use many different methods to solve and understand complex models of neurons and circuits. They explain and combine numerical, analytical, dynamical systems and perturbation methods to produce a modern approach to the types of model equations that arise in neuroscience. There are extensive chapters on the role of noise, multiple time scales and spatial interactions in generating complex activity patterns found in experiments. The early chapters require little more than basic calculus and some elementary differential equations and can form the core of a computational neuroscience course.Later chapters can be used as a basis for a graduate class and as a source for current research in mathematical neuroscience. The book contains a large number of illustrations, chapter summaries and hundreds of exercises which are motivated by issues that arise in biology, and involve both computation and analysis. Bard Ermentrout is Professor of Computational Biology and Professor of Mathematics at the University of Pittsburgh. David Terman is Professor of Mathematics at the Ohio State University. Codice libro della libreria AAU9780387877075

Maggiori informazioni su questa libreria | Fare una domanda alla libreria

Compra nuovo
EUR 59,42
Convertire valuta

Aggiungere al carrello

Spese di spedizione: GRATIS
Da: Regno Unito a: U.S.A.
Destinazione, tempi e costi

5.

Ermentrout, G. Bard; Terman, David
Editore: Springer-Verlag New York Inc. (2010)
ISBN 10: 038787707X ISBN 13: 9780387877075
Nuovi Rilegato Quantità: 1
Valutazione libreria
[?]

Descrizione libro Springer-Verlag New York Inc., 2010. Condizione libro: New. Arising from several courses taught by the authors, this book provides a needed overview illustrating how dynamical systems and computational analysis have been used in understanding the types of models that come out of neuroscience. Series: Interdisciplinary Applied Mathematics. Num Pages: 422 pages, 38 colour illustrations, biography. BIC Classification: PSAN. Category: (P) Professional & Vocational. Dimension: 244 x 161 x 28. Weight in Grams: 788. . 2010. 2010th Edition. Hardcover. . . . . . Codice libro della libreria V9780387877075

Maggiori informazioni su questa libreria | Fare una domanda alla libreria

Compra nuovo
EUR 59,56
Convertire valuta

Aggiungere al carrello

Spese di spedizione: GRATIS
Da: Irlanda a: U.S.A.
Destinazione, tempi e costi

6.

G. Bard Ermentrout; David H. Terman
Editore: Springer (2010)
ISBN 10: 038787707X ISBN 13: 9780387877075
Nuovi Rilegato Quantità: 1
Da
Ria Christie Collections
(Uxbridge, Regno Unito)
Valutazione libreria
[?]

Descrizione libro Springer, 2010. Condizione libro: New. book. Codice libro della libreria ria9780387877075_rkm

Maggiori informazioni su questa libreria | Fare una domanda alla libreria

Compra nuovo
EUR 58,06
Convertire valuta

Aggiungere al carrello

Spese di spedizione: EUR 4,33
Da: Regno Unito a: U.S.A.
Destinazione, tempi e costi

7.

Ermentrout, G. Bard; Terman, David
Editore: Springer-Verlag New York Inc.
ISBN 10: 038787707X ISBN 13: 9780387877075
Nuovi Rilegato Quantità: 1
Da
Kennys Bookstore
(Olney, MD, U.S.A.)
Valutazione libreria
[?]

Descrizione libro Springer-Verlag New York Inc. Condizione libro: New. Arising from several courses taught by the authors, this book provides a needed overview illustrating how dynamical systems and computational analysis have been used in understanding the types of models that come out of neuroscience. Series: Interdisciplinary Applied Mathematics. Num Pages: 422 pages, 38 colour illustrations, biography. BIC Classification: PSAN. Category: (P) Professional & Vocational. Dimension: 244 x 161 x 28. Weight in Grams: 788. . 2010. 2010th Edition. Hardcover. . . . . Books ship from the US and Ireland. Codice libro della libreria V9780387877075

Maggiori informazioni su questa libreria | Fare una domanda alla libreria

Compra nuovo
EUR 62,77
Convertire valuta

Aggiungere al carrello

Spese di spedizione: GRATIS
In U.S.A.
Destinazione, tempi e costi

8.

G. Bard Ermentrout
Editore: Springer-Verlag New York Inc. (2010)
ISBN 10: 038787707X ISBN 13: 9780387877075
Nuovi Quantità: 1
Da
Books2Anywhere
(Fairford, GLOS, Regno Unito)
Valutazione libreria
[?]

Descrizione libro Springer-Verlag New York Inc., 2010. HRD. Condizione libro: New. New Book. Shipped from UK in 4 to 14 days. Established seller since 2000. Codice libro della libreria BB-9780387877075

Maggiori informazioni su questa libreria | Fare una domanda alla libreria

Compra nuovo
EUR 53,31
Convertire valuta

Aggiungere al carrello

Spese di spedizione: EUR 10,08
Da: Regno Unito a: U.S.A.
Destinazione, tempi e costi

9.

David H. Terman; G. Bard Ermentrout
Editore: Springer (2010)
ISBN 10: 038787707X ISBN 13: 9780387877075
Nuovi Rilegato Quantità: 2
Da
Book & Media GmbH
(Berlin, Germania)
Valutazione libreria
[?]

Descrizione libro Springer, 2010. Hardcover. Condizione libro: Neu. Codice libro della libreria 000295

Maggiori informazioni su questa libreria | Fare una domanda alla libreria

Compra nuovo
EUR 49,00
Convertire valuta

Aggiungere al carrello

Spese di spedizione: EUR 15,00
Da: Germania a: U.S.A.
Destinazione, tempi e costi

10.

G. Bard Ermentrout; David H. Terman
Editore: Springer (2010)
ISBN 10: 038787707X ISBN 13: 9780387877075
Nuovi Rilegato Quantità: 1
Da
Valutazione libreria
[?]

Descrizione libro Springer, 2010. Condizione libro: New. Codice libro della libreria EH9780387877075

Maggiori informazioni su questa libreria | Fare una domanda alla libreria

Compra nuovo
EUR 64,88
Convertire valuta

Aggiungere al carrello

Spese di spedizione: EUR 3,99
Da: Germania a: U.S.A.
Destinazione, tempi e costi

Vedi altre copie di questo libro

Vedi tutti i risultati per questo libro