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πŸ“

Introduction to College Mathematics with A Programming Language

✍ Scribed by Edward J. LeCuyer Jr. (auth.)


Publisher
Springer-Verlag New York
Year
1978
Tongue
English
Leaves
430
Series
Undergraduate Texts in Mathematics
Edition
1
Category
Library

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✦ Synopsis


The topics covered in this text are those usually covered in a full year's course in finite mathematics or mathematics for liberal arts students. They correspond very closely to the topics I have taught at Western New England College to freshmen business and liberal arts students. They include set theory, logic, matrices and determinants, functions and graphΒ­ ing, basic differential and integral calculus, probability and statistics, and trigonometry. Because this is an introductory text, none of these topics is dealt with in great depth. The idea is to introduce the student to some of the basic concepts in mathematics along with some of their applications. I believe that this text is self-contained and can be used successfully by any college student who has completed at least two years of high school mathematics including one year of algebra. In addition, no previous knowledge of any programming language is necessary. The distinguishing feature of this text is that the student is given the opportunity to learn the mathematical concepts via A Programming LanΒ­ guage (APL). APL was developed by Kenneth E. Iverson while he was at Harvard University and was presented in a book by Dr. Iverson entitled A i Programming Language in 1962. He invented APL for educational purpoΒ­ ses. That is, APL was designed to be a consistent, unambiguous, and powerful notation for communicating mathematical ideas. In 1966, APL became available on a time-sharing system at IBM.

✦ Table of Contents


Front Matter....Pages i-xii
Set theory....Pages 1-24
Logic....Pages 25-44
Vectors and matrices....Pages 45-70
Systems of linear equations....Pages 71-102
Determinants....Pages 103-124
Functions and graphing....Pages 125-176
Exponential and logarithmic functions....Pages 177-198
Differential calculus....Pages 199-241
Integral calculus....Pages 242-271
Probability....Pages 272-302
Statistics....Pages 303-329
The trigonometric functions....Pages 330-362
Back Matter....Pages 363-420

✦ Subjects


Mathematics, general


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