Introduction to Computer Mathematics

Introduction to Computer Mathematics (Russell Merris, 1985) is a text book which teaches both math and introductory computer programming in BASIC.

Back Cover

Introduction to Computer Mathematics breaks new ground in the combining of mathematics and introductory computer programming. Topics in algebra, geometry, probability, and statistics are woven together with a step-by-step development of programming skills. The author is sensitive to the challenges facing both student and teacher.

Exercises throughout the book bring the student face to face with realistic problems presented in an intriguing manner. For instance, in one such example, stellar evolution in its relationship to mathematics and computers are explored.

Introduction to Computer Mathematics presents a practical and entertaining approach to the important field of computers and mathematics for today's student.

Table of Contents

  • Chapter 1 - Interactive Computation
    • 1.1 In the Beginning
    • 1.2 Memory and Precedence
    • 1.3 Exponentiation
    • 1.4 Compound Interest
    • 1.5 Annuities
  • Chapter 2 - Computer Programming
    • 2.1 Line Numbers
    • 2.2 Loops
    • 2.3 Number Sequences
    • 2.4 Flowcharts
    • 2.5 Sorting
  • Chapter 3 - Probability
    • 3.1 Simulation
    • 3.2 The Fundamental Counting Principle
    • 3.3 Rearrangements
    • 3.4 Binomial Coefficients
    • 3.5 Ordered Selections
    • 3.6 Pascal's Triangle
    • 3.7 Expectation
    • 3.8 The Probability of A or B
    • 3.9 Conditional Probability
    • 3.10 Binomial Probability
  • Chapter 4 - Statistics
    • 4.1 Data
    • 4.2 A Choice of Averages
    • 4.3 Square Roots
    • 4.4 Standard Deviation
    • 4.5 Normal Distributions
    • 4.6 Chi-Squared
  • Chapter 5 - Number Bases
    • 5.1 Numerals
    • 5.2 Arithmetic
    • 5.3 Strings
    • 5.4 Logarithms
    • 5.5 The Geometric Mean
    • 5.6 The Mystery Number
  • Chapter 6 - Number Theory
    • 6.1 Prime Numbers
    • 6.2 Digital Roots
    • 6.3 Computational Complexity
    • 6.4 Greatest Common Divisors
    • 6.5 The Fundamental Theorem
    • 6.6 Perfect Numbers
    • 6.7 Rational Numbers
    • 6.8 Irrational Numbers
  • Chapter 7 - Polynomials and Functions
    • 7.1 Functions
    • 7.2 Polynomials
    • 7.3 Rational Roots of Polynomials
    • 7.4 Newton's Method
  • Chapter 8 - Geometry
    • 8.1 The Pythagorean Theorem
    • 8.2 Angles
    • 8.3 Similar Triangles
    • 8.4 Regular Polygons
    • 8.5 Area
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