Mathematics Project

Mathematics is the bane of most people’s existence, the one subject in school they wish they would have skipped. I was able to skip most of it in public school, but now consider it a real loss and have to pursue it on my own for it’s own sake.

RESEARCH SCOPE

This research project will focus on several specific areas:

Basic Mathematics
All the basic mathematics I never got when I was in public school.

Algebra
All the Algebra I never got when I was in public school.

Geometry & Trigonometry
All the Geometry & Trigonometry I never got when I was in public school.

Calculus
All the Calculus I never got when I was in public school.

Undergraduate Level Mathematics
All the undergraduate level mathematics I never got when I was in public school.

Graduate Level Mathematics
All the graduate level mathematics I never got when I was in public school.

Proof Mathematics
Real problems that require mathematical proofs.

BACKGROUND

As a student of the public school enterprise, I was subject to several impediments. One, I was required to show up and sit in the classroom in order to graduate. I did not have to pay attention. I did not really have to do any work to speak of. But, I did have to be there, be counted, so the institution could get it’s money from the Federal Government. It is a sadness I carry with me that I did not know of homeschooling at the time.

So, instead of paying attention in class, I tuned out. When I discovered in my Freshman year of High school that I no longer needed to take any more math courses beyond Pre-Algebra, I steered clear of “math” from then on out.

Little did I know at the time, most higher paying jobs required some sort o scientific degree, and all scientific degrees require extensive math skills. But, that’s okay, I guess. I suppose I could be bitter about it, but…

PROPOSED HYPOTHESIS

Mathematics is a skill required to unlock the mysteries of the universe..

FINAL PRODUCTS

Pending….

PRINT RESOURCE LIST

Background Topics of Mathematics
Stewart, Ian. 1995. Nature’s Numbers: The Unreal Reality of Mathematics. BasicBooks.

Stewart, Ian. 1998. The Magical Maze: Seeing the World through Mathematical Eyes. New York: John Wiley & Sons, Inc.

Stewart, Ian. 2006. Letters to a Young Mathematician. New York: Basic Books, a member of the Perseus Books Group.

Stewart, Ian. 2009. Professor Stewart’s Cabinet of Mathematical Curiosities. New York: Basic Books.

Stewart, Ian. 2011. Mathematics of Life. New York: Basic Books.

Smullyan, Raymond M. 1985. To Mock a Mocking Bird and Other Logic Puzzles: Including an Amazing Adventure in Combinatory Logic. New York: Knopf.

Pappas, Theoni. 1994. The Magic of Mathematics: Discovering the Spell of Mathematics. Wide World.

Oakley, Barbara A. 2014. A Mind for Numbers: How to Excel at Math and Science (Even If You Flunked Algebra). New York: Jeremy P. Tarcher/Penguin.

Livio, Mario. 2009. Is God a Mathematician? New York: Simon & Schuster.

Angel, Allen R., Christine A. Dunn, Stuart R. Porter, and Dennis C. Runde. 2001. A Survey of Mathematics with Applications. Boston: Addison-Wesley.

Apollonius., Archimedes., Euclid., and Nicomachus. 1952. The Mathematical Writings of Euclid, Archimedes, Apollonius of Perga, Nicomachus. Encyclopaedia Britannica, Inc.

Gardner, Martin. 2001. The Colossal Book of Mathematics: Classic Puzzles, Paradoxes, and Problems : Number Theory, Algebra, Geometry, Probability, Topology, Game Theory, Infinity, and Other Topics of Recreational Mathematics. New York: Norton.

Rucker, Rudy v.B. 1987. Mind Tools: The Five Levels of Mathematical Reality. Boston: Houghton Mifflin.

Practical Math Success in 20 Minutes a Day. 2005. LearningExpress.

Sobel, Max A. 1970. Essentials of Mathematics: Skills & Concepts. Ginn & Co.

Davis, Philip J., and Reuben Hersh. 1982. The Mathematical Experience. Boston: Houghton Mifflin.

Introduction to College Mathematics/Pre-Algebra
Martin-Gay, K.Elayn. 1999. Basic College Mathematics. Upper Saddle River, N.J.: Prentice Hall.

Rich, Barnett, and Philip A. Schmidt. 1997. Schaum’s Outline of Review of Elementary Mathematics. McGraw-Hill.

Bello, Ignacio. 2009. Basic College Mathematics: A Real-World Approach. Boston: McGraw-Hill Higher Education.

Carlan, Audrey. 1998. Everyday Math for the Numerically Challenged. Franklin Lakes, NJ: Career Press.

Charuhas, Mary. 1981. Essential Mathematics for Life. Scott, Foresman.

Haag, Vincent H., and Donald W. Western. 1968. Introduction to College Mathematics. Holt.

Basic Mathematics/Pre-Algebra
Tobey, John, and Jeffrey Slater. 2006. Beginning Algebra. Upper Saddle River, NJ: Pearson Prentice Hall.

Miller, Robert. 2002. Basic Math and Prealgebra. Bob Miller’s Clueless Series. New York: McGraw-Hill.

McKellar, Danica. 2008. Kiss My Math: Showing Pre-Algebra Who’s Boss. New York, N.Y.: Penguin Group.

Charles, Randall I. 2004. Prentice Hall Mathematics: Pre-Algebra. Edited by inc. Prentice-Hall. Needham, Mass.: Prentice Hall.

Bluman, Allan G. 2004. Pre-Algebra Demystified. Demystified Series. New York: McGraw-Hill.

Lial, Margaret L, Diana Hestwood, and E.John Hornsby. 2001. Prealgebra and Introductory Algebra. Boston: Addison-Wesley.

Martin-Gay, K.Elayn. 2005. Prealgebra & Introductory Algebra. Upper Saddle River, NJ: Pearson Prentice Hall.

Algebra
Aufmann, Richard N, Vernon C Barker, Joanne S Lockwood, and Richard N. Aufmann. 1989. Intermediate Algebra, with Applications. Boston: Houghton Mifflin Co.

Bittinger, Marvin L, and David Ellenbogen. 2002. Elementary Algebra: Concepts and Applications. Boston: Addison-Wesley.

Bittinger, Marvin L, 2006. Elementary Algebra: Concepts and Applications. Boston: Pearson Addison Wesley.

Downing, Douglas. 1996a. Algebra, the Easy Way. Hauppauge, N.Y.: Barron’s.

Drooyan, Irving, and William Wooton. 1984. Elementary Algebra for College Students. New York: Wiley.

Hendricks, Andrea, and Oiyin Pauline Chow. 2013. Beginning & Intermediate Algebra. New York: McGraw-Hill.

Huettenmueller, Rhonda. 2003. Algebra Demystified. McGraw-Hill “Demystified” Series. New York: McGraw-Hill.

Huettenmueller, Rhonda. 2004. College Algebra Demystified. Demystified Series. New York: McGraw-Hill.

Jund, Barbara. 2005. Algebra Success in 20 Minutes a Day. New York: LearningExpress.

Kelley, W.Michael. 2004. The Complete Idiot’s Guide to Algebra. Indianapolis, IN: Alpha.

Kelley, W.Michael. 2007. The Complete Idiot’s Guide to Algebra. Indianapolis, IN: Alpha.

Kohn, Edward, and David Alan Herzog. 2001. Algebra II. CliffsQuickReview. New York: Hungry Minds.

LearningExpress (Organization), ed. 2008. Algebra Success in 20 Minutes a Day. LearningExpress Skill Builders. New York: LearningExpress.

Lial, Margaret L, E.John Hornsby, and Charles David Miller. 1996. Intermediate Algebra. New York: HarperCollins College Publishers.

Long, Lynette, and Hank Morehouse. 2006. Painless Algebra. Painless. Hauppauge, N.Y.: Barron’s.

Martin-Gay, K.Elayn. 1997. Beginning Algebra. Upper Saddle River, N.J.: Prentice Hall.

Martin-Gay, K.Elayn. 2003. Introductory Algebra. Upper Saddle River, N.J.: Prentice Hall.

Miller, Robert. 1999. Bob Miller’s Algebra for the Clueless: Algebra. Bob Miller’s Clueless Series. New York: McGraw-Hill.

Rappaport, Josh, and Sally Blakemore. 2015. Algebra Survival Guide: A Conversational Guide for the Thoroughly Befuddled. Santa Fe, NM: Singing Turtle Press.

Rich, Barnett, Philip A Schmidt, Brenda Bradford, and Barnett Rich. 2002. Elementary Algebra: Based on Schaum’s Outline of [Theory and Problems of]
Elementary Algebra. Schaum’s Easy Outlines. New York: McGraw-Hill.

Selby, Peter H, and Stephen L Slavin. 1993. Quick Algebra Review: A Self-Teaching Guide. Wiley Self-Teaching Guides. New York: Wiley.

Steege, Ray, and Kerry Bailey. 1997. Schaum’s Outline of Theory and Problems of Intermediate Algebra. McGraw-Hill.

Sterling, Mary Jane. 2001. Algebra for Dummies. –For Dummies. New York: Hungry Minds.

Sterling, Mary Jane. 2006. Algebra II for Dummies. –For Dummies. Hoboken, N.J.: Wiley.

Streeter, James, Donald Hutchison, and Louis F Hoelzle. 1998. Intermediate Algebra. Boston: McGraw-Hill.

Tussing, Ann K.U. 1983. Word Problems in Algebra. Breakthrough to Math. Level 3. New York: New Readers Press.

Wheater, Carolyn C. 2015a. Algebra I. Idiot’s Guides. New York, NY: Alpha, a member of Penguin Random House LLC.

Wheater, Carolyn C 2015b. Algebra II. Idiot’s Guides. New York, NY: Alpha, a member of Penguin Random House LLC.

Wingard-Nelson, Rebecca. 2004. Algebra I and Algebra II. Math Success. Berkeley Heights, NJ: Enslow Publishers.

McKellar, Danica. 2010. Hot X: Algebra Exposed. New York: Hudson Street Press.

Geometry
Alexander, Daniel C., and Geralyn M. Koeberlein. 2007. Elementary Geometry for College Students. Boston: Houghton Mifflin.

Arnone, Wendy. 2001. Geometry for Dummies. –For Dummies. New York: Hungry Minds.

Gibilisco, Stan. 2003. Geometry Demystified. New York: McGraw-Hill.

Gibilisco, Stan. 2011. Geometry Demystified. Demystified Series. New York: McGraw-Hill.

Jacobs, Harold R. 1987. Geometry. New York: W.H. Freeman.

Leff, Lawrence S. 1990. Barron’s Geometry the Easy Way. New York: Barron’s Educational Series.

Leff, Lawrence S, and Lawrence S. Leff. 1997. Geometry the Easy Way. Easy Way. Hauppauge, NY: Barron’s Educational Series.

Leff, Lawrence S, and Lawrence S. Leff. 2009. E-Z Geometry. Hauppauge, N.Y.: Barron’s Educational Series. Miller, Robert. 2000. Bob Miller’s Geometry for the Clueless: Geometry. Bob Miller’s Clueless Series. New York: McGraw Hill.

Rich, Barnett, and Philip A Schmidt. 2000. Schaum’s Outline of Theory and Problems of Geometry: Includes Plane, Analytic, and Transformational Geometries.
Schaum’s Outline Series. New York: McGraw Hill.

Ryan, Mark. 2011. Geometry Essentials for Dummies. –For Dummies. Hoboken, NJ: Wiley Pub.

Thompson, Debbie. 2000. Geometry Success in 20 Minutes a Day. LearningExpress Skill Builders. New York: LearningExpress.

Trigonometry
Downing, Douglas. 1990. Trigonometry the Easy Way. New York: Barron’s Educational Series.

Kay, David A. 1994. Trigonometry. Cliffs Quick Review. Lincoln, Neb.: Cliffs Notes.

Sterling, Mary Jane. 2014. Trigonometry for Dummies. –For Dummies. Hoboken, NJ: John Wiley & Sons.

Statistics
Jaisingh, Lloyd R. 2000. Statistics for the Utterly Confused. McGraw-Hill.

Ullman, Neil R. 1978. Elementary Statistics: An Applied Approach. New York: Wiley.

Rumsey, Deborah J. 2006. Probability for Dummies. Hoboken, N.J., Chichester: Wiley, John Wiley [distributor].

Mendenhall, William. 1971. Introduction to Probability and Statistics. Duxbury Press.

Newmark, Joseph. 1988. Statistics and Probability in Modern Life. Saunders College.

Pre-Calculus/Calculus
Kelley, W.Michael. 2005. The Complete Idiot’s Guide to Precalculus. Alpha.

Sullivan, Michael. 2005. Precalculus. Upper Saddle River, N.J.: Pearson Prentice Hall.

Larson, Ron, and Robert P Hostetler. 2007. Precalculus. Edited by Houghton Mifflin Company. Boston: Houghton Mifflin.

Aufmann, Richard N, Vernon C Barker, and Richard Nation. 1991. Precalculus. Precalculus Series. Boston: Houghton Mifflin.

Abbott, P., and Michael Wardle. 1970. Teach Yourself Calculus. NTC Publishing Group.

Ayres, Frank, Frank Ayres, and Elliott Mendelson. 1999. Schaum’s Outline of Calculus. Schaum’s Outline Series. New York: McGraw-Hill.

Downing, Douglas. 1996b. Calculus the Easy Way. The Easy Way. Hauppauge, NY: Barron’s Educational Series.

Edwards, C.Henry, and David E Penney. 1998. Multivariable Calculus with Analytic Geometry. Upper Saddle River, NJ: Prentice Hall.

Kelley, W.Michael. 2006a. The Complete Idiot’s Guide to Calculus. Indianapolis, IN: Alpha.

Kleppner, Daniel, and Norman Ramsey. 1985. Quick Calculus: A Self-Teaching Guide. New York: Wiley.

Krantz, Steven G. 2003. Calculus Demystified. McGraw-Hill Demystified Series. New York: McGraw-Hill.

Ryan, Mark. 2010. Calculus Essentials for Dummies. For Dummies. Hoboken, N.J.: Wiley.

Thompson, Silvanus P. 1998. Calculus Made Easy: Being a Very-Simplest Introduction to Those Beautiful Methods of Reckoning Which Are Generally Called by the Terrifying Names of the Differential Calculus and the Integral Calculus. St. Martin’s.

Shahriari, Shahriar. 2006. Approximately Calculus. Providence, R.I.: American Mathematical Society.

Ellis, Robert, and Denny Gulick. 1990. Calculus with Analytic Geometry. San Diego: Harcourt Brace Jovanovich.

Logic
Rubin, Ronald G, and Charles M Young. 1983. Logic Made Simple. Claremont, Ca: Areté Press.

Cohen, Morris Raphael, and Ernest Nagel. 1934. An Introduction to Logic and Scientific Method. New York: Harcourt, Brace and company.

Castell, Alburey. 1935. A College Logic. Macmillan.

501 Challenging Logic and Reasoning Problems. 1999. LearningExpress Skill Builders Practice. New York, NY: Learning Express.

Topologies
Lin, Maya Ying, John McPhee, Michael Brenson, Philip Jodidio, Paul Goldberger, William L. Fox, Lisa Phillips, Dan Lin, and Dava Sobel. 2015. Maya Lin: Topologies. New York: Rizzoli. http://swbplus.bsz-bw.de/bsz451506111inh.htm.

Munkres, James R. 2000. Topology. Upper Saddle River, NJ: Prentice Hall, Inc.

Linear Algebra
Robbiano, Lorenzo. 2011. Linear Algebra for Everyone. Milan, New York: Springer.

DIGITAL RESOURCE LIST

Wilkes, Jason. 2016. Burn Math Class: And Reinvent Mathematics for Yourself. 1 edition. New York: Basic Books.

Gowers, Timothy, June Barrow-Green, and Imre Leader. 2008. The Princeton Companion to Mathematics. Edited by Princeton University. Princeton: Princeton University Press.

Higham, Nicholas J., Mark R. Dennis, Paul Glendinning, Paul A. Martin, Fadil Santosa, and Jared Tanner, eds. 2015. The Princeton Companion to Applied Mathematics. Princeton: Princeton University Press.