Calculus for cognitive scientists: partial differential equation models
Saved in:
| Main Author: | |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Singapore
Springer Science+Business Media
[2016]
|
| Series: | Cognitive science and technology
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| Subjects: | |
| Online Access: | BTU01 FAB01 FAW01 FHA01 FHI01 FHN01 FHR01 FKE01 FRO01 FWS01 FWS02 UBY01 Volltext Abstract Inhaltsverzeichnis |
| Physical Description: | 1 Online Ressource (xxxi, 534 p. 156 illus. in color) |
| ISBN: | 9789812878809 |
| DOI: | 10.1007/978-981-287-880-9 |
Staff View
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| adam_text | CALCULUS FOR COGNITIVE SCIENTISTS
/ PETERSON, JAMES K.
: 2016
ABSTRACT / INHALTSTEXT
THIS BOOK SHOWS COGNITIVE SCIENTISTS IN TRAINING HOW MATHEMATICS,
COMPUTERSCIENCE AND SCIENCE CAN BE USEFULLY AND SEAMLESSLY
INTERTWINED. IT IS A FOLLOW-UP TO THE FIRST TWO VOLUMES ON MATHEMATICS
FOR COGNITIVE SCIENTISTS, AND INCLUDES THE MATHEMATICS AND COMPUTATIONAL
TOOLS NEEDED TO UNDERSTAND HOW TO COMPUTE THE TERMS IN THE FOURIER
SERIES EXPANSIONS THAT SOLVE THE CABLE EQUATION. THE LATTER IS DERIVED
FROM FIRST PRINCIPLES BY GOING BACK TO CELLULAR BIOLOGY AND THE
RELEVANTBIOPHYSICS. A DETAILED DISCUSSION OF ION MOVEMENTTHROUGH
CELLULAR MEMBRANES, AND AN EXPLANATION OF HOW THE EQUATIONS THAT GOVERN
SUCH ION MOVEMENT LEADING TO THE STANDARD TRANSIENT CABLE EQUATION ARE
INCLUDED. THERE ARE ALSO SOLUTIONS FOR THE CABLE MODEL USING SEPARATION
OF VARIABLES, AS WELL AN EXPLANATION OF WHY FOURIER SERIES CONVERGE AND
A DESCRIPTION OF THE IMPLEMENTATION OF MATLAB TOOLS TO COMPUTE THE
SOLUTIONS. FINALLY, THE STANDARD HODGKIN - HUXLEY MODEL IS
DEVELOPEDFORAN EXCITABLE NEURON AND IS SOLVED USING MATLAB
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
CALCULUS FOR COGNITIVE SCIENTISTS
/ PETERSON, JAMES K.
: 2016
TABLE OF CONTENTS / INHALTSVERZEICHNIS
INTRODUCTION
GRAHAM - SCHMIDT ORTHOGONALIZATION
NUMERICAL DIffERENTIAL EQUATIONS
BIOLOGICAL MOLECULES
ION MOVEMENT
LUMPED AND DISTRIBUTED CELL MODELS
TIME INDEPENDENT SOLUTIONS TO INfiNITE CABLES
TIME INDEPENDENT SOLUTIONS TO FINITE AND HALF-INfiNITE SPACE CABLES
A PRIMER ON SERIES SOLUTIONS
LINEAR PARTIAL DIffERENTIAL EQUATIONS
SIMPLIfiED DENDRITE - SOMA – AXON INFORMATION PROCESSING
THE BASIC HODGKIN - HUXLEY MODEL
FINAL THOUGHTS
BACKGROUND READING
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
|
| any_adam_object | 1 |
| author | Peterson, James K. |
| author_facet | Peterson, James K. |
| author_role | aut |
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| bvnumber | BV043422931 |
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| ctrlnum | (OCoLC)946550722 (DE-599)BVBBV043422931 |
| dewey-full | 006.3 |
| dewey-hundreds | 000 - Computer science, information, general works |
| dewey-ones | 006 - Special computer methods |
| dewey-raw | 006.3 |
| dewey-search | 006.3 |
| dewey-sort | 16.3 |
| dewey-tens | 000 - Computer science, information, general works |
| discipline | Informatik |
| doi_str_mv | 10.1007/978-981-287-880-9 |
| format | Electronic eBook |
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| illustrated | Not Illustrated |
| indexdate | 2025-02-20T06:52:53Z |
| institution | BVB |
| isbn | 9789812878809 |
| language | English |
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| physical | 1 Online Ressource (xxxi, 534 p. 156 illus. in color) |
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| publishDate | 2016 |
| publishDateSearch | 2016 |
| publishDateSort | 2016 |
| publisher | Springer Science+Business Media |
| record_format | marc |
| series2 | Cognitive science and technology |
| spellingShingle | Peterson, James K. Calculus for cognitive scientists partial differential equation models Engineering Artificial intelligence Computer graphics Neural networks (Computer science) Physics Computational intelligence Computational Intelligence Theoretical, Mathematical and Computational Physics Mathematical Models of Cognitive Processes and Neural Networks Artificial Intelligence (incl. Robotics) Computer Imaging, Vision, Pattern Recognition and Graphics Ingenieurwissenschaften Künstliche Intelligenz |
| title | Calculus for cognitive scientists partial differential equation models |
| title_auth | Calculus for cognitive scientists partial differential equation models |
| title_exact_search | Calculus for cognitive scientists partial differential equation models |
| title_full | Calculus for cognitive scientists partial differential equation models James K. Peterson |
| title_fullStr | Calculus for cognitive scientists partial differential equation models James K. Peterson |
| title_full_unstemmed | Calculus for cognitive scientists partial differential equation models James K. Peterson |
| title_short | Calculus for cognitive scientists |
| title_sort | calculus for cognitive scientists partial differential equation models |
| title_sub | partial differential equation models |
| topic | Engineering Artificial intelligence Computer graphics Neural networks (Computer science) Physics Computational intelligence Computational Intelligence Theoretical, Mathematical and Computational Physics Mathematical Models of Cognitive Processes and Neural Networks Artificial Intelligence (incl. Robotics) Computer Imaging, Vision, Pattern Recognition and Graphics Ingenieurwissenschaften Künstliche Intelligenz |
| topic_facet | Engineering Artificial intelligence Computer graphics Neural networks (Computer science) Physics Computational intelligence Computational Intelligence Theoretical, Mathematical and Computational Physics Mathematical Models of Cognitive Processes and Neural Networks Artificial Intelligence (incl. Robotics) Computer Imaging, Vision, Pattern Recognition and Graphics Ingenieurwissenschaften Künstliche Intelligenz |
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