Comprehensive Mathematics for Computer Scientists 2

Calculus and ODEs, Splines, Probability, Fourier and Wavelet Theory, Fractals and Neural Networks, Categories and Lambda Calculus

Authors:

ISBN: 978-3-540-20861-7 (Print) 978-3-540-26937-3 (Online)

Table of contents (17 chapters)

  1. Topology and Calculus

    1. No Access

      Book Chapter

      Pages 3-35

      Limits and Topology

    2. No Access

      Book Chapter

      Pages 37-57

      Differentiability

    3. No Access

      Book Chapter

      Pages 59-71

      Inverse and Implicit Functions

    4. No Access

      Book Chapter

      Pages 73-86

      Integration

    5. No Access

      Book Chapter

      Pages 87-95

      The Fundamental Theorem of Calculus and Fubini’s Theorem

    6. No Access

      Book Chapter

      Pages 97-104

      Vector Fields

    7. No Access

      Book Chapter

      Pages 105-112

      Fixpoints

    8. No Access

      Book Chapter

      Pages 113-124

      Main Theorem of ODEs

    9. No Access

      Book Chapter

      Pages 125-136

      Third Advanced Topic

  2. Selected Higher Subjects

    1. No Access

      Book Chapter

      Pages 139-159

      Categories

    2. No Access

      Book Chapter

      Pages 161-182

      Splines

    3. No Access

      Book Chapter

      Pages 183-213

      Fourier Theory

    4. No Access

      Book Chapter

      Pages 215-229

      Wavelets

    5. No Access

      Book Chapter

      Pages 231-251

      Fractals

    6. No Access

      Book Chapter

      Pages 253-277

      Neural Networks

    7. No Access

      Book Chapter

      Pages 279-311

      Probability Theory

    8. No Access

      Book Chapter

      Pages 313-332

      Lambda Calculus