Abstract
Readers wishing a logical development of the real number system are directed to the references at the end of the chapter. Here the real numbers are considered to be the set of all terminating and nonterminating decimals with addition, subtraction, multiplication and division (except by zero) defined as usual.
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References
1.13.1 References
Courant, R., and Robbins, H., What Is Mathematics?,Oxford University Press, N.Y., 1948. (Sections 1.1, 1.2.)
Vance, E., Modern College Algebra,Addison-Wesley, Reading, Mass., 1967. (Sections 1.3 to 1.9.)
Churchill, R., Complex Variables with Applications,McGraw-Hill, N.Y., 1960. (Sections 1.3 to 1.9.)
Steinbach, R., and Bellairs, D., Trigonometry,Glencoe Press, Beverly Hills, 1971. (Section 1.10.)
Kells, L.; Kern, W.; and Bland, J., Plane and Spherical Trigonometry,McGraw-Hill, N.Y., 1940. (Section 1.10.)
Morrill, W., Analytic Geometry,International, Scranton, Pa., 1964. (Sections 1.1 I, 1.12.)
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Noble, B., Applied Linear Algebra,Prentice-Hall, Englewood Cliffs, N.J., 1969. (Sections 1.11, 1.12.)
Meriam, J., Mechanics, Part I,John Wiley & Sons, N.Y., 1952. (Sections 1.11, 1.12.)
1.13.2 Bibliography
Beaumont, R., Pierce, R., The Algebraic Foundations of Mathematics, Addison-Wesley, Reading, Mass., 1963.
Beckenbach, E., and Bellman, R., Introduction to Inequalities, Random House, N.Y., 1962.
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Hashisaki, J., and Peterson, J., Theory of Arithmetic, John Wiley & Sons, N.Y., 1971.
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Olmsted, J., The Real Number System, Appleton-Century-Crofts, N.Y., 1962.
Salmon, G., A Treatise on Conic Sections, Chelsea, N.Y., 1954.
Sigley, D., and Stratton, W., Solid Geometry, Dryden, 1956.
Young, J., and Bush, G., Geometry for Elementary Teachers, Holden-Day, San Francisco, 1971.
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© 1990 Van Nostrand Reinhold
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Lennart Pearson, H. (1990). Formulas from Algebra, Trigonometry and Analytic Geometry. In: Pearson, C.E. (eds) Handbook of Applied Mathematics. Springer, Boston, MA. https://doi.org/10.1007/978-1-4684-1423-3_1
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DOI: https://doi.org/10.1007/978-1-4684-1423-3_1
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