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arithmetic of the integers, linear algebra, an introduction to group theory, the theory of polynomial functions and polynomial equations, and some Boolean algebra. It could be supplemented, of course, by material from other chapters. Again, Course 5 (Calculus) aiscusses the differential and integral calculus more or less from the beginnings of these theories, and proceeds through functions of several real variables, functions of a complex variable, and topics of real analysis such as the implicit function theorem. We would, however, like to make a further point with regard to the appropriateness of our text in course work. We emphasized in the Introduction to the original edition that, in the main, we had in mind the reader who had already met the topics once and wished to review them in the light of his (or her) increased knowledge and mathematical maturity. We therefore believe that our book could form a suitable basis for American graduate courses in the mathematical sciences, especially those prerequisites for a Master's degree.
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Table of contents (39 chapters)
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Front Matter
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The Language of Mathematics
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Front Matter
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Further Set Theory
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Front Matter
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Geometry of ℝ3
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Front Matter
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Authors and Affiliations
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Bibliographic Information
Book Title: A Comprehensive Textbook of Classical Mathematics
Book Subtitle: A Contemporary Interpretation
Authors: H. B. Griffiths, P. J. Hilton
DOI: https://doi.org/10.1007/978-1-4612-6321-0
Publisher: Springer New York, NY
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eBook Packages: Springer Book Archive
Copyright Information: H. B. Griffiths and P. J. Hilton 1970
Softcover ISBN: 978-0-387-90342-2Published: 09 December 1978
eBook ISBN: 978-1-4612-6321-0Published: 11 November 2013
Edition Number: 1
Number of Pages: XXIX, 640
Topics: Mathematics, general