Appendix E: Primary Source Bibliography

The architecture of the StackCalc SC-32 draws on four centuries of mathematical discovery and a century of research across mathematical logic, stack-oriented computer organization, numerical error analysis, human-factors engineering, and scientific instrument design. From Jan Łukasiewicz's 1924 parenthesis-free notation in Warsaw and John Napier's 1614 logarithmic tables at Merchiston Castle to Carl Friedrich Gauss's method of Least Squares and Claude Shannon's symbolic relay algebra, these works shaped modern computational science. Together with the Hewlett-Packard RPN engineering lineage (the 1972 HP-35, the 1982 HP-15C, and the 1991 HP-32SII), these historical treatises, peer-reviewed papers, numerical standards, and engineering manuals form the primary reference bibliography.

Bellman, Richard. 1957. Dynamic Programming. Princeton University Press, Princeton, NJ.

Brent, Richard P. 1973. Algorithms for Minimization without Derivatives. Prentice-Hall, Englewood Cliffs, NJ.

Burks, Arthur W., Don W. Warren, and Jesse B. Wright. 1954. An Analysis of a Logical Machine Using Parenthesis-Free Notation. Mathematical Tables and Other Aids to Computation 8, 46 (1954), 53–57.

Cardano, Gerolamo. 1545. Artis Magnae, Sive de Regulis Algebraicis (The Great Art, or The Rules of Algebra). Johannes Petreius, Nuremberg.

Cleomedes (trans. Alan C. Bowen and Robert B. Todd). 2004. Cleomedes' Lectures on Astronomy: A Translation of The Heavens. University of California Press, Berkeley, CA.

Cochran, David S. 1972. Algorithms and Accuracy in the HP-35. Hewlett-Packard Journal 23, 10 (1972), 10–11.

Cody, William J., and William Waite. 1980. Software Manual for the Elementary Functions. Prentice-Hall, Englewood Cliffs, NJ.

Colebrook, Cyril F. 1939. Turbulent Flow in Pipes, with Particular Reference to the Transition Region between the Smooth and Rough Pipe Laws. Journal of the Institution of Civil Engineers 11, 4 (1939), 133–156.

Descartes, René. 1637. La Géométrie (Appendix to Discours de la méthode). Jan Maire, Leiden.

Dijkstra, Edsger W. 1961. Making a Translator for ALGOL 60. Technical Report MR 35/61. Mathematisch Centrum, Amsterdam, Netherlands.

Ellenberg, Jordan. 2014. How Not to Be Wrong: The Power of Mathematical Thinking. Penguin Press, New York.

Evett, Eric A., Paul J. McClellan, and Joseph P. Tanzini. 1983. Scientific Pocket Calculator Extends Range of Built-In Functions. Hewlett-Packard Journal 34, 5 (1983), 25–35.

Galilei, Galileo. 1638. Discorsi e Dimostrazioni Matematiche, intorno à due nuoue scienze (Dialogues Concerning Two New Sciences). Louis Elsevier, Leiden.

Gauss, Carl Friedrich. 1809. Theoria Motus Corporum Coelestium in Sectionibus Conicis Solem Ambientium. Perthes and Besser, Hamburg.

Golub, Gene H., and Charles F. Van Loan. 1996. Matrix Computations. Johns Hopkins University Press, Baltimore, MD.

Hamblin, Charles L. 1957. Computer Languages. The Australian Journal of Science 20, 5 (1957), 135–139.

Hamrick, Kathy B. 1996. The History of the Hand-Held Electronic Calculator. The American Mathematical Monthly 103, 8 (1996), 633–639.

Hewlett-Packard Company. 1982. HP-15C Advanced Functions Handbook. Hewlett-Packard Corvallis Division, Corvallis, OR.

Hewlett-Packard Company. 1991. HP 32S II RPN Scientific Calculator Owner's Manual. Hewlett-Packard Corvallis Division, Corvallis, OR.

Horowitz, Paul, and Winfield Hill. 2015. The Art of Electronics. Cambridge University Press, Cambridge, UK.

IEEE Computer Society. 2019. IEEE Standard for Floating-Point Arithmetic. Technical Report IEEE Std 754-2019. Institute of Electrical and Electronics Engineers, Piscataway, NJ.

Incropera, Frank P., David P. DeWitt, Theodore L. Bergman, and Adrienne S. Lavine. 2007. Fundamentals of Heat and Mass Transfer. John Wiley & Sons, Hoboken, NJ.

Kahan, William M. 1979. Personal Calculator Has Key to Solve Any Equation f(x) = 0. Hewlett-Packard Journal 30, 12 (1979), 20–26.

Knuth, Donald E. 1997. The Art of Computer Programming, Volume 1: Fundamental Algorithms. Addison-Wesley, Reading, MA.

Łukasiewicz, Jan. 1929. Elementy logiki matematycznej (Elements of Mathematical Logic; parenthesis-free notation devised 1924). Komisja Wydawnicza Koła Matematyczno-Fizycznego Słuchaczów Uniwersytetu Warszawskiego (Warsaw; English trans. Pergamon Press, 1963).

Macaulay, David. 2016. The Way Things Work Now. HMH Books for Young Readers, Boston.

Miller, George A. 1956. The Magical Number Seven, Plus or Minus Two: Some Limits on Our Capacity for Processing Information. Psychological Review 63, 2 (1956), 81–97.

Moore, Gordon E. 1965. Cramming More Components onto Integrated Circuits. Electronics 38, 8 (1965), 114–117.

Munroe, Randall. 2014. What If?: Serious Scientific Answers to Absurd Hypothetical Questions. Houghton Mifflin Harcourt, Boston.

Musch, Bernard E., John J. Wong, and David R. Conklin. 1980. Powerful Personal Calculator System Sets New Standards. Hewlett-Packard Journal 31, 3 (1980), 3–12.

Napier, John. 1614. Mirifici Logarithmorum Canonis Descriptio. Andrew Hart, Edinburgh.

Nelson, Richard J. 1974. PPC Journal (formerly 65 Notes). Personal Programmable Calculator Club, Santa Ana, CA.

Parker, Matt. 2019. Humble Pi: A Comedy of Maths Errors. Riverhead Books, New York.

Pólya, George. 1945. How to Solve It: A New Aspect of Mathematical Method. Princeton University Press, Princeton, NJ.

Richardson, Lewis Fry. 1911. The Approximate Arithmetical Solution by Finite Differences of Physical Problems Involving Differential Equations. Philosophical Transactions of the Royal Society of London, Series A 210 (1911), 307–357.

Romberg, Werner. 1955. Vereinfachte numerische Integration. Det Kongelige Norske Videnskabers Selskab Forhandlinger 28, 7 (1955), 30–36.

Shannon, Claude E. 1938. A Symbolic Analysis of Relay and Switching Circuits. Transactions of the American Institute of Electrical Engineers 57, 12 (1938), 713–723.

Steinmetz, Charles Proteus. 1893. Complex Quantities and Their Use in Electrical Engineering. Proceedings of the International Electrical Congress, Chicago, August 21–25, 1893, 33–74.

Strogatz, Steven. 2012. The Joy of x: A Guided Tour of Math, from One to Infinity. Eamon Dolan / Houghton Mifflin Harcourt, Boston.

Strogatz, Steven. 2019. Infinite Powers: How Calculus Reveals the Secrets of the Universe. Eamon Dolan / Houghton Mifflin Harcourt, Boston.

Student (William Sealy Gosset). 1908. The Probable Error of a Mean. Biometrika 6, 1 (1908), 1–25.

Sweller, John. 1988. Cognitive Load During Problem Solving: Effects on Learning. Cognitive Science 12, 2 (1988), 257–285.

Weibull, Waloddi. 1951. A Statistical Distribution Function of Wide Applicability. Journal of Applied Mechanics 18, 3 (1951), 293–297.

Whitney, Thomas M., France Rodé, and Chung C. Tung. 1972. The 'Powerful Pocketful': An Electronic Calculator Challenges the Slide Rule. Hewlett-Packard Journal 23, 10 (1972), 2–9.