Mathematics for Neuroscientists

Written By Fabrizio Gabbiani
Mathematics for Neuroscientists
  • Publsiher : Academic Press
  • Release : 16 September 2010
  • ISBN : 9780080890494
  • Pages : 498 pages
  • Rating : /5 from reviews
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Download or read book entitled Mathematics for Neuroscientists by author: Fabrizio Gabbiani which was release on 16 September 2010 and published by Academic Press with total page 498 pages . This book available in PDF, EPUB and Kindle Format. 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

Mathematics for Neuroscientists

Mathematics for Neuroscientists
  • Author : Fabrizio Gabbiani,Steven James Cox
  • Publisher : Academic Press
  • Release Date : 2010-09-16
  • Total pages : 498
  • ISBN : 9780080890494
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Summary : 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 ...

Mathematical Foundations of Neuroscience

Mathematical Foundations of Neuroscience
  • Author : G. Bard Ermentrout,David H. Terman
  • Publisher : Springer Science & Business Media
  • Release Date : 2010-07-01
  • Total pages : 422
  • ISBN : 9780080890494
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Summary : 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 ...

Music Math and Mind

Music  Math  and Mind
  • Author : David Sulzer
  • Publisher : Columbia University Press
  • Release Date : 2021-04-27
  • Total pages : 212
  • ISBN : 9780080890494
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Summary : Why does a clarinet play at lower pitches than a flute? What does it mean for sounds to be in or out of tune? How are emotions carried by music? Do other animals perceive sound like we do? How might a musician use math to come up with new ideas? ...

Dynamical Systems in Neuroscience

Dynamical Systems in Neuroscience
  • Author : Eugene M. Izhikevich
  • Publisher : MIT Press
  • Release Date : 2007
  • Total pages : 441
  • ISBN : 9780080890494
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Summary : In order to model neuronal behavior or to interpret the results of modeling studies, neuroscientists must call upon methods of nonlinear dynamics. This book offers an introduction to nonlinear dynamical systems theory for researchers and graduate students in neuroscience. It also provides an overview of neuroscience for mathematicians who want ...

Models of the Mind

Models of the Mind
  • Author : Grace Lindsay
  • Publisher : Bloomsbury Publishing
  • Release Date : 2021-03-04
  • Total pages : 320
  • ISBN : 9780080890494
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Summary : The brain is made up of 85 billion neurons, which are connected by over 100 trillion synapses. For more than a century, a diverse array of researchers has been trying to find a language that can be used to capture the essence of what these neurons do and how they communicate – and ...

How the Brain Learns Mathematics

How the Brain Learns Mathematics
  • Author : David A. Sousa
  • Publisher : Corwin Press
  • Release Date : 2008
  • Total pages : 244
  • ISBN : 9780080890494
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Summary : David A. Sousa discusses the cognitive mechanisms for learning mathematics and the environmental and developmental factors that contribute to mathematics difficulties. This groundbreaking text examines: o Children's innate number sense and how the brain develops an understanding of number relationships o Rationales for modifying lessons to meet the developmental learning ...

The New PhD

The New PhD
  • Author : Leonard Cassuto,Robert Weisbuch
  • Publisher : Johns Hopkins University Press
  • Release Date : 2021-01-19
  • Total pages : 408
  • ISBN : 9780080890494
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Summary : By fixing the PhD, we can benefit the entire educational system and the life of our society along with it....

Signal Processing for Neuroscientists

Signal Processing for Neuroscientists
  • Author : Wim van Drongelen
  • Publisher : Academic Press
  • Release Date : 2018-04-20
  • Total pages : 740
  • ISBN : 9780080890494
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Summary : Signal Processing for Neuroscientists, Second Edition provides an introduction to signal processing and modeling for those with a modest understanding of algebra, trigonometry and calculus. With a robust modeling component, this book describes modeling from the fundamental level of differential equations all the way up to practical applications in neuronal ...

Fundamentals of Computational Neuroscience

Fundamentals of Computational Neuroscience
  • Author : Thomas Trappenberg
  • Publisher : Oxford University Press
  • Release Date : 2010
  • Total pages : 390
  • ISBN : 9780080890494
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Summary : The new edition of Fundamentals of Computational Neuroscience build on the success and strengths of the first edition. It introduces the theoretical foundations of neuroscience with a focus on the nature of information processing in the brain. The book covers the introduction and motivation of simplified models of neurons that ...

Interdisciplinary Perspectives on Math Cognition

Interdisciplinary Perspectives on Math Cognition
  • Author : Marcel Danesi
  • Publisher : Springer Nature
  • Release Date : 2019-09-14
  • Total pages : 344
  • ISBN : 9780080890494
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Summary : This is an anthology of contemporary studies from various disciplinary perspectives written by some of the world's most renowned experts in each of the areas of mathematics, neuroscience, psychology, linguistics, semiotics, education, and more. Its purpose is not to add merely to the accumulation of studies, but to show that ...

What Counts

What Counts
  • Author : Brian Butterworth
  • Publisher : Unknown
  • Release Date : 1999
  • Total pages : 416
  • ISBN : 9780080890494
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Summary : Demonstrates that an innate sense of numbers is as integral to the makeup of the human brain as the sense of language, arguing that there is a math gene and that mathematics is fundamental to human nature...

Directory of International Opportunities in Biomedical and Behavioral Sciences

Directory of International Opportunities in Biomedical and Behavioral Sciences
  • Author : Anonim
  • Publisher : Unknown
  • Release Date : 1984
  • Total pages : 64
  • ISBN : 9780080890494
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Summary : Read online Directory of International Opportunities in Biomedical and Behavioral Sciences written by , published by which was released on 1984. Download full Directory of International Opportunities in Biomedical and Behavioral Sciences Books now! Available in PDF, ePub and Kindle....

Educational Neuroscience

Educational Neuroscience
  • Author : Kathryn E. Patten,Stephen R. Campbell
  • Publisher : John Wiley & Sons
  • Release Date : 2011-09-07
  • Total pages : 120
  • ISBN : 9780080890494
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Summary : Educational Neuroscience provides an overview of the wide range of recent initiatives in educational neuroscience, examining a variety of methodological concerns, issues, and directions. Encourages interdisciplinary perspectives in educational neuroscience Contributions from leading researchers examine key issues relating to educational neuroscience and mind, brain, and education more generally Promotes a ...

Handbook of Neural Activity Measurement

Handbook of Neural Activity Measurement
  • Author : Romain Brette,Alain Destexhe
  • Publisher : Cambridge University Press
  • Release Date : 2012-09-06
  • Total pages : 479
  • ISBN : 9780080890494
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Summary : Underlying principles of the various techniques are explained, enabling neuroscientists to extract meaningful information from their measurements....

Introducing Philosophy of Mathematics

Introducing Philosophy of Mathematics
  • Author : Michele Friend
  • Publisher : Routledge
  • Release Date : 2014-12-05
  • Total pages : 240
  • ISBN : 9780080890494
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Summary : What is mathematics about? Does the subject-matter of mathematics exist independently of the mind or are they mental constructions? How do we know mathematics? Is mathematical knowledge logical knowledge? And how is mathematics applied to the material world? In this introduction to the philosophy of mathematics, Michele Friend examines these ...