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Mathematical Computing in J: An Introductory Self-Learning Workbook
A Research Studies Press Book
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This book introduces mathematical computing using J - a powerful new programming language with practical applications in mathematics, actuarial analysis, scientific research, business data processing, and education. Derived from APL, J was designed as an executable mathematical notation by Dr. Kenneth E. Iverson and was implemented by Roger K.W. Hui. J unifies many areas of mathematics, has a simple consistent syntax with very few rules, yet includes a large number of functions and operators as tools for thinking and problem solving. J software is available free for evaluation and education fr...
This book introduces mathematical computing using J - a powerful new programming language with practical applications in mathematics, actuarial analysis, scientific research, business data processing, and education. Derived from APL, J was designed as an executable mathematical notation by Dr. Kenneth E. Iverson and was implemented by Roger K.W. Hui. J unifies many areas of mathematics, has a simple consistent syntax with very few rules, yet includes a large number of functions and operators as tools for thinking and problem solving. J software is available free for evaluation and education from www.jsoftware.com.
Table of contents:
Preface; Introduction; Overview; J; Using J to Teach Mathematics; Getting Started; Workshop Approach; Topics; Chapter 1. Arithmetic; Chapter 2. Fractions; Chapter 3. Comparisons; Chapter 4. Algebra; Chapter 5. Equations; Chapter 6. Graphs; Chapter 7. Exponents and Logarithms; Chapter 8. Average; Chapter 9. Gauss's Formula; Chapter 10. Pascal's Triangle; Chapter 11. Pythagorean Theorem; Chapter 12. Divisors; Chapter 13. Primes; Chapter 14. Function Tables; Chapter 15. Logic; Chapter 16. Sets; Chapter 17. Random Numbers; Chapter 18. Permutations; Chapter 19. Combinations; Chapter 20. Fibonacci Sequence; Chapter 21. Recursion; Chapter 22. Polynomials; Chapter 23. Number Systems; Chapter 24. Probability; Chapter 25. Statistics; Chapter 26. Trigonometry; Chapter 27. Series; Chapter 28. Linear Algebra; Chapter 29. Calculus; Chapter 30. Fractals; Chapter 31. Analysis of Algorithms; Chapter 32. Proof; Review, References, and Resources; Summary of J; Index J Vocabulary, (Inside back cover).
Table of contents:
Preface; Introduction; Overview; J; Using J to Teach Mathematics; Getting Started; Workshop Approach; Topics; Chapter 1. Arithmetic; Chapter 2. Fractions; Chapter 3. Comparisons; Chapter 4. Algebra; Chapter 5. Equations; Chapter 6. Graphs; Chapter 7. Exponents and Logarithms; Chapter 8. Average; Chapter 9. Gauss's Formula; Chapter 10. Pascal's Triangle; Chapter 11. Pythagorean Theorem; Chapter 12. Divisors; Chapter 13. Primes; Chapter 14. Function Tables; Chapter 15. Logic; Chapter 16. Sets; Chapter 17. Random Numbers; Chapter 18. Permutations; Chapter 19. Combinations; Chapter 20. Fibonacci Sequence; Chapter 21. Recursion; Chapter 22. Polynomials; Chapter 23. Number Systems; Chapter 24. Probability; Chapter 25. Statistics; Chapter 26. Trigonometry; Chapter 27. Series; Chapter 28. Linear Algebra; Chapter 29. Calculus; Chapter 30. Fractals; Chapter 31. Analysis of Algorithms; Chapter 32. Proof; Review, References, and Resources; Summary of J; Index J Vocabulary, (Inside back cover).