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Calculus for Cognitive Scientists

Higher Order Models and Their Analysis

  • James K. Peterson
Book

Part of the Cognitive Science and Technology book series (CSAT)

Table of contents

  1. Front Matter
    Pages i-xxxiii
  2. Introduction

    1. Front Matter
      Pages 1-1
    2. James K. Peterson
      Pages 3-7
  3. Review

    1. Front Matter
      Pages 9-9
    2. James K. Peterson
      Pages 11-59
    3. James K. Peterson
      Pages 61-84
    4. James K. Peterson
      Pages 85-125
  4. The Main Event

    1. Front Matter
      Pages 127-127
    2. James K. Peterson
      Pages 129-140
    3. James K. Peterson
      Pages 141-148
    4. James K. Peterson
      Pages 149-170
    5. James K. Peterson
      Pages 171-235
    6. James K. Peterson
      Pages 237-286
  5. Interesting Models

    1. Front Matter
      Pages 287-287
    2. James K. Peterson
      Pages 289-354
    3. James K. Peterson
      Pages 355-379
    4. James K. Peterson
      Pages 381-399
    5. James K. Peterson
      Pages 401-431
  6. Nonlinear Systems Again

    1. Front Matter
      Pages 433-433
    2. James K. Peterson
      Pages 435-473
    3. James K. Peterson
      Pages 475-491
  7. Series Solutions to PDE Models

    1. Front Matter
      Pages 493-493
    2. James K. Peterson
      Pages 495-513
  8. Summing It All Up

    1. Front Matter
      Pages 515-515
    2. James K. Peterson
      Pages 517-522
  9. Advise to the Beginner

    1. Front Matter
      Pages 523-523
    2. James K. Peterson
      Pages 525-529
  10. Back Matter
    Pages 531-556

About this book

Introduction

This book offers a self-study program on how mathematics, computer science and science can be profitably and seamlessly intertwined. This book focuses on two variable ODE models, both linear and nonlinear, and highlights theoretical and computational tools using MATLAB to explain their solutions. It also shows how to solve cable models using separation of variables and the Fourier Series.

Keywords

Antiderivatives Cancer Model First Order Multivariable First Order ODEs Function Approximation Insulin Model Multivariable Calculus Nonlinear ODEs Viability Selection

Authors and affiliations

  • James K. Peterson
    • 1
  1. 1.Dept of Mathematical SciencesClemson UniversityClemsonUSA

Bibliographic information

  • DOI https://doi.org/10.1007/978-981-287-877-9
  • Copyright Information Springer Science+Business Media Singapore 2016
  • Publisher Name Springer, Singapore
  • eBook Packages Engineering
  • Print ISBN 978-981-287-875-5
  • Online ISBN 978-981-287-877-9
  • Series Print ISSN 2195-3988
  • Series Online ISSN 2195-3996
  • Buy this book on publisher's site
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