Mathematics for Neuroscientists
eBook - ePub

Mathematics for Neuroscientists

  1. 498 pages
  2. English
  3. ePUB (mobile friendly)
  4. Available on iOS & Android
eBook - ePub

Mathematics for Neuroscientists

About this book

Virtually all scientific problems in neuroscience require mathematical analysis, and all neuroscientists are increasingly required to have a significant understanding of mathematical methods. There is currently no comprehensive, integrated introductory book on the use of mathematics in neuroscience; existing books either concentrate solely on theoretical modeling or discuss mathematical concepts for the treatment of very specific problems. This book fills this need by systematically introducing mathematical and computational tools in precisely the contexts that first established their importance for neuroscience. All mathematical concepts will be introduced from the simple to complex using the most widely used computing environment, Matlab.This book will provide 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.- 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- Allows the mathematical novice to analyze their results in more sophisticated ways, and consider them in a broader theoretical framework

Frequently asked questions

Yes, you can cancel anytime from the Subscription tab in your account settings on the Perlego website. Your subscription will stay active until the end of your current billing period. Learn how to cancel your subscription.
At the moment all of our mobile-responsive ePub books are available to download via the app. Most of our PDFs are also available to download and we're working on making the final remaining ones downloadable now. Learn more here.
Perlego offers two plans: Essential and Complete
  • Essential is ideal for learners and professionals who enjoy exploring a wide range of subjects. Access the Essential Library with 800,000+ trusted titles and best-sellers across business, personal growth, and the humanities. Includes unlimited reading time and Standard Read Aloud voice.
  • Complete: Perfect for advanced learners and researchers needing full, unrestricted access. Unlock 1.4M+ books across hundreds of subjects, including academic and specialized titles. The Complete Plan also includes advanced features like Premium Read Aloud and Research Assistant.
Both plans are available with monthly, semester, or annual billing cycles.
We are an online textbook subscription service, where you can get access to an entire online library for less than the price of a single book per month. With over 1 million books across 1000+ topics, we’ve got you covered! Learn more here.
Look out for the read-aloud symbol on your next book to see if you can listen to it. The read-aloud tool reads text aloud for you, highlighting the text as it is being read. You can pause it, speed it up and slow it down. Learn more here.
Yes! You can use the Perlego app on both iOS or Android devices to read anytime, anywhere — even offline. Perfect for commutes or when you’re on the go.
Please note we cannot support devices running on iOS 13 and Android 7 or earlier. Learn more about using the app.
Yes, you can access Mathematics for Neuroscientists by Fabrizio Gabbiani,Steven James Cox in PDF and/or ePUB format, as well as other popular books in Biological Sciences & Applied Mathematics. We have over one million books available in our catalogue for you to explore.

Table of contents

  1. Cover image
  2. Title page
  3. Table of Contents
  4. Copyright
  5. Preface
  6. Chapter 1: Introduction
  7. Chapter 2: The Passive Isopotential Cell
  8. Chapter 3: Differential Equations
  9. Chapter 4: The Active Isopotential Cell
  10. Chapter 5: The Quasi-Active Isopotential Cell
  11. Chapter 6: The Passive Cable
  12. Chapter 7: Fourier Series and Transforms
  13. Chapter 8: The Passive Dendritic Tree
  14. Chapter 9: The Active Dendritic Tree
  15. Chapter 10: Reduced Single Neuron Models
  16. Chapter 11: Probability and Random Variables
  17. Chapter 12: Synaptic Transmission and Quantal Release
  18. Chapter 13: Neuronal Calcium Signaling*
  19. Chapter 14: The Singular Value Decomposition and Applications*
  20. Chapter 15: Quantification of Spike Train Variability
  21. Chapter 16: Stochastic Processes
  22. Chapter 17: Membrane Noise*
  23. Chapter 18: Power and Cross Spectra
  24. Chapter 19: Natural Light Signals and Phototransduction
  25. Chapter 20: Firing Rate Codes and Early Vision
  26. Chapter 21: Models of Simple and Complex Cells
  27. Chapter 22: Stochastic Estimation Theory
  28. Chapter 23: Reverse-Correlation and Spike Train Decoding
  29. Chapter 24: Signal Detection Theory
  30. Chapter 25: Relating Neuronal Responses and Psychophysics
  31. Chapter 26: Population Codes*
  32. Chapter 27: Neuronal Networks
  33. Chapter 28: Solutions to Selected Exercises
  34. References
  35. Index