Description

Book Synopsis
Designed as a textbook for an innovative mathematics major course in using a computer-algebra system to investigate, explore, and apply mathematical ideas and techniques in problem solving. The book is designed modularly with student investigations and projects in number theory, geometry, algebra, single-variable calculus, and probability.

Table of Contents
  • Part 1 Algebra & Geometry: Computer algebra systems and elements of algorithmics
  • Topics in classical geometry
  • More topics in classical geometry
  • Topics in elementary number theory
  • Topics in algebra: Solving univariate algebraic equations
  • Topics in algebra: Bivariate systems of polynomial equations
  • Part 2 Calculus and numerics: Derivatives
  • Definite integrals
  • Approximating zeros of functions by iteration methods
  • Polynomial approximations
  • Trigonometric approximation
  • Fourier analysis in music and signal processing
  • Part 3 Probability and statistics: Probability and statistics basics
  • Computer simulation of statistical sampling
  • Simple random walks
  • Data for lab 17 in chapter 14
  • Bibliography
  • Index

Exploring Mathematics with CAS Assistance

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    £51.30

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    RRP £57.00 – you save £5.70 (10%)

    Order before 4pm tomorrow for delivery by Fri 7 Aug 2026.

    A Paperback by Lydia S. Novozhilova, Robert D. Dolan

    4 in stock

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      Publisher: American Mathematical Society
      Publication Date: Publication Date: 1/28/2023 12:02:00 AM
      ISBN13: 9781470469887, 978-1470469887
      ISBN10: 147046988X

      Description

      Book Synopsis
      Designed as a textbook for an innovative mathematics major course in using a computer-algebra system to investigate, explore, and apply mathematical ideas and techniques in problem solving. The book is designed modularly with student investigations and projects in number theory, geometry, algebra, single-variable calculus, and probability.

      Table of Contents
      • Part 1 Algebra & Geometry: Computer algebra systems and elements of algorithmics
      • Topics in classical geometry
      • More topics in classical geometry
      • Topics in elementary number theory
      • Topics in algebra: Solving univariate algebraic equations
      • Topics in algebra: Bivariate systems of polynomial equations
      • Part 2 Calculus and numerics: Derivatives
      • Definite integrals
      • Approximating zeros of functions by iteration methods
      • Polynomial approximations
      • Trigonometric approximation
      • Fourier analysis in music and signal processing
      • Part 3 Probability and statistics: Probability and statistics basics
      • Computer simulation of statistical sampling
      • Simple random walks
      • Data for lab 17 in chapter 14
      • Bibliography
      • Index

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