Mathematics for neuroscientists:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Amsterdam
Elsevier Academic Press
2010
|
| Ausgabe: | 1st ed |
| Schlagworte: | |
| Online-Zugang: | FAW01 FLA01 FUBA1 UBM01 Volltext |
| Beschreibung: | This book provides a grounded introduction to the fundamental concepts of mathematics, neuroscience and their combined use, thus providing the reader with a springboard to cutting-edge research topics and fostering a tighter integration of mathematics and neuroscience for future generations of students. The book alternates between mathematical chapters, introducing important concepts and numerical methods, and neurobiological chapters, applying these concepts and methods to specific topics. It covers topics ranging from classical cellular biophysics and proceeding up to systems level neuroscience. Starting at an introductory mathematical level, presuming no more than calculus through elementary differential equations, the level will build up as increasingly complex techniques are introduced and combined with earlier ones. Each chapter includes a comprehensive series of exercises with solutions, taken from the set developed by the authors in their course lectures. MATLAB code is included for each computational figure, to allow the reader to reproduce them. Biographical notes referring the reader to more specialized literature and additional mathematical material that may be needed either to deepen the reader's understanding or to introduce basic concepts for less mathematically inclined readers completes each chapter. A very didactic and systematic introduction to mathematical concepts of importance for the analysis of data and the formulation of concepts based on experimental data in neuroscience Provides introductions to linear algebra, ordinary and partial differential equations, Fourier transforms, probabilities and stochastic processes Introduces numerical methods used to implement algorithms related to each mathematical concept Illustrates numerical methods by applying them to specific topics in neuroscience, including Hodgkin-Huxley equations, probabilities to describe stochastic release, stochastic processes to describe noise in neurons, Fourier transforms to describe the receptive fields of visual neurons Provides implementation examples in MATLAB code, also included for download on the accompanying support website (which will be updated with additional code and in line with major MATLAB releases) Allows the mathematical novice to analyze their results in more sophisticated ways, and consider them in a broader theoretical framework Includes bibliographical references (p. 473-482) and index |
| Beschreibung: | 1 Online-Ressource (xi, 486 p.) |
| ISBN: | 9780123748829 0123748828 9780080890494 0080890490 |
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| 500 | |a This book provides a grounded introduction to the fundamental concepts of mathematics, neuroscience and their combined use, thus providing the reader with a springboard to cutting-edge research topics and fostering a tighter integration of mathematics and neuroscience for future generations of students. The book alternates between mathematical chapters, introducing important concepts and numerical methods, and neurobiological chapters, applying these concepts and methods to specific topics. It covers topics ranging from classical cellular biophysics and proceeding up to systems level neuroscience. Starting at an introductory mathematical level, presuming no more than calculus through elementary differential equations, the level will build up as increasingly complex techniques are introduced and combined with earlier ones. Each chapter includes a comprehensive series of exercises with solutions, taken from the set developed by the authors in their course lectures. | ||
| 500 | |a MATLAB code is included for each computational figure, to allow the reader to reproduce them. Biographical notes referring the reader to more specialized literature and additional mathematical material that may be needed either to deepen the reader's understanding or to introduce basic concepts for less mathematically inclined readers completes each chapter. | ||
| 500 | |a A very didactic and systematic introduction to mathematical concepts of importance for the analysis of data and the formulation of concepts based on experimental data in neuroscience Provides introductions to linear algebra, ordinary and partial differential equations, Fourier transforms, probabilities and stochastic processes Introduces numerical methods used to implement algorithms related to each mathematical concept Illustrates numerical methods by applying them to specific topics in neuroscience, including Hodgkin-Huxley equations, probabilities to describe stochastic release, stochastic processes to describe noise in neurons, Fourier transforms to describe the receptive fields of visual neurons Provides implementation examples in MATLAB code, also included for download on the accompanying support website (which will be updated with additional code and in line with major MATLAB releases) Allows the mathematical novice to analyze their results in more sophisticated ways, | ||
| 500 | |a and consider them in a broader theoretical framework | ||
| 500 | |a Includes bibliographical references (p. 473-482) and index | ||
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Datensatz im Suchindex
| _version_ | 1804152878789558272 |
|---|---|
| any_adam_object | |
| author | Gabbiani, Fabrizio |
| author_facet | Gabbiani, Fabrizio |
| author_role | aut |
| author_sort | Gabbiani, Fabrizio |
| author_variant | f g fg |
| building | Verbundindex |
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| dewey-full | 612.8 |
| dewey-hundreds | 600 - Technology (Applied sciences) |
| dewey-ones | 612 - Human physiology |
| dewey-raw | 612.8 |
| dewey-search | 612.8 |
| dewey-sort | 3612.8 |
| dewey-tens | 610 - Medicine and health |
| discipline | Medizin |
| edition | 1st ed |
| format | Electronic eBook |
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| id | DE-604.BV042300895 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T01:17:43Z |
| institution | BVB |
| isbn | 9780123748829 0123748828 9780080890494 0080890490 |
| language | English |
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| physical | 1 Online-Ressource (xi, 486 p.) |
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| publishDate | 2010 |
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| spelling | Gabbiani, Fabrizio Verfasser aut Mathematics for neuroscientists Fabrizio Gabbiani, Steven J. Cox 1st ed Amsterdam Elsevier Academic Press 2010 1 Online-Ressource (xi, 486 p.) txt rdacontent c rdamedia cr rdacarrier This book provides a grounded introduction to the fundamental concepts of mathematics, neuroscience and their combined use, thus providing the reader with a springboard to cutting-edge research topics and fostering a tighter integration of mathematics and neuroscience for future generations of students. The book alternates between mathematical chapters, introducing important concepts and numerical methods, and neurobiological chapters, applying these concepts and methods to specific topics. It covers topics ranging from classical cellular biophysics and proceeding up to systems level neuroscience. Starting at an introductory mathematical level, presuming no more than calculus through elementary differential equations, the level will build up as increasingly complex techniques are introduced and combined with earlier ones. Each chapter includes a comprehensive series of exercises with solutions, taken from the set developed by the authors in their course lectures. MATLAB code is included for each computational figure, to allow the reader to reproduce them. Biographical notes referring the reader to more specialized literature and additional mathematical material that may be needed either to deepen the reader's understanding or to introduce basic concepts for less mathematically inclined readers completes each chapter. A very didactic and systematic introduction to mathematical concepts of importance for the analysis of data and the formulation of concepts based on experimental data in neuroscience Provides introductions to linear algebra, ordinary and partial differential equations, Fourier transforms, probabilities and stochastic processes Introduces numerical methods used to implement algorithms related to each mathematical concept Illustrates numerical methods by applying them to specific topics in neuroscience, including Hodgkin-Huxley equations, probabilities to describe stochastic release, stochastic processes to describe noise in neurons, Fourier transforms to describe the receptive fields of visual neurons Provides implementation examples in MATLAB code, also included for download on the accompanying support website (which will be updated with additional code and in line with major MATLAB releases) Allows the mathematical novice to analyze their results in more sophisticated ways, and consider them in a broader theoretical framework Includes bibliographical references (p. 473-482) and index MEDICAL / Neuroscience bisacsh PSYCHOLOGY / Neuropsychology bisacsh Computational biology fast Computational neuroscience fast Neurosciences fast Computational Biology / methods Medizin Computational neuroscience Computational biology Neurosciences Mathematisches Modell (DE-588)4114528-8 gnd rswk-swf Neurowissenschaften (DE-588)7555119-6 gnd rswk-swf Computersimulation (DE-588)4148259-1 gnd rswk-swf Neurowissenschaften (DE-588)7555119-6 s Computersimulation (DE-588)4148259-1 s Mathematisches Modell (DE-588)4114528-8 s 1\p DE-604 Cox, Steven J. Sonstige oth http://www.sciencedirect.com/science/book/9780123748829 Verlag URL des Erstveröffentlichers Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Gabbiani, Fabrizio Mathematics for neuroscientists MEDICAL / Neuroscience bisacsh PSYCHOLOGY / Neuropsychology bisacsh Computational biology fast Computational neuroscience fast Neurosciences fast Computational Biology / methods Medizin Computational neuroscience Computational biology Neurosciences Mathematisches Modell (DE-588)4114528-8 gnd Neurowissenschaften (DE-588)7555119-6 gnd Computersimulation (DE-588)4148259-1 gnd |
| subject_GND | (DE-588)4114528-8 (DE-588)7555119-6 (DE-588)4148259-1 |
| title | Mathematics for neuroscientists |
| title_auth | Mathematics for neuroscientists |
| title_exact_search | Mathematics for neuroscientists |
| title_full | Mathematics for neuroscientists Fabrizio Gabbiani, Steven J. Cox |
| title_fullStr | Mathematics for neuroscientists Fabrizio Gabbiani, Steven J. Cox |
| title_full_unstemmed | Mathematics for neuroscientists Fabrizio Gabbiani, Steven J. Cox |
| title_short | Mathematics for neuroscientists |
| title_sort | mathematics for neuroscientists |
| topic | MEDICAL / Neuroscience bisacsh PSYCHOLOGY / Neuropsychology bisacsh Computational biology fast Computational neuroscience fast Neurosciences fast Computational Biology / methods Medizin Computational neuroscience Computational biology Neurosciences Mathematisches Modell (DE-588)4114528-8 gnd Neurowissenschaften (DE-588)7555119-6 gnd Computersimulation (DE-588)4148259-1 gnd |
| topic_facet | MEDICAL / Neuroscience PSYCHOLOGY / Neuropsychology Computational biology Computational neuroscience Neurosciences Computational Biology / methods Medizin Mathematisches Modell Neurowissenschaften Computersimulation |
| url | http://www.sciencedirect.com/science/book/9780123748829 |
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