Overview
- Authors:
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H. B. Griffiths
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University of Southampton, Southampton, England
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P. J. Hilton
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Case Western Reserve University, Cleveland, USA
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Table of contents (39 chapters)
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Front Matter
Pages i-xxix
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The Language of Mathematics
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- H. B. Griffiths, P. J. Hilton
Pages 3-17
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- H. B. Griffiths, P. J. Hilton
Pages 18-37
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- H. B. Griffiths, P. J. Hilton
Pages 38-49
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- H. B. Griffiths, P. J. Hilton
Pages 50-61
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- H. B. Griffiths, P. J. Hilton
Pages 62-70
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Further Set Theory
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- H. B. Griffiths, P. J. Hilton
Pages 73-87
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- H. B. Griffiths, P. J. Hilton
Pages 88-102
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- H. B. Griffiths, P. J. Hilton
Pages 103-120
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Arithmetic
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Front Matter
Pages 121-121
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- H. B. Griffiths, P. J. Hilton
Pages 123-135
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- H. B. Griffiths, P. J. Hilton
Pages 136-145
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- H. B. Griffiths, P. J. Hilton
Pages 146-161
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- H. B. Griffiths, P. J. Hilton
Pages 162-170
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- H. B. Griffiths, P. J. Hilton
Pages 171-177
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Geometry of ℝ3
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Front Matter
Pages 179-180
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- H. B. Griffiths, P. J. Hilton
Pages 181-202
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- H. B. Griffiths, P. J. Hilton
Pages 203-240
About this book
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.
Authors and Affiliations
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University of Southampton, Southampton, England
H. B. Griffiths
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Case Western Reserve University, Cleveland, USA
P. J. Hilton