Concise Encyclopedia Mathematics by Eric W. Weisstein

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By Eric W. Weisstein

Upon ebook, the 1st variation of the CRC Concise Encyclopedia of arithmetic received overwhelming accolades for its exceptional scope, clarity, and software. It quickly took its position one of the most sensible promoting books within the historical past of Chapman & Hall/CRC, and its acceptance maintains unabated.

Yet additionally unabated has been the commitment of writer Eric Weisstein to amassing, cataloging, and referencing mathematical evidence, formulation, and definitions. He has now up-to-date many of the unique entries and increased the Encyclopedia to incorporate one thousand extra pages of illustrated entries.

The accessibility of the Encyclopedia in addition to its vast assurance and reasonably-priced cost make it appealing to the widest attainable diversity of readers and positively a needs to for libraries, from the secondary to the pro and examine degrees. For mathematical definitions, formulation, figures, tabulations, and references, this can be easily the main striking compendium available.

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Upon e-book, the 1st version of the CRC Concise Encyclopedia of arithmetic got overwhelming accolades for its unheard of scope, clarity, and software. It quickly took its position one of the most sensible promoting books within the heritage of Chapman & Hall/CRC, and its acceptance keeps unabated. but additionally unabated has been the commitment of writer Eric Weisstein to amassing, cataloging, and referencing mathematical evidence, formulation, and definitions.

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Alternating Link which has a LINK DIAGRAM underpasses and overpasses. A LINK see also ALMOST Alternating Knot An alternating knot is a KNOT which possesses a knot diagram in which crossings alternate between under- and overpasses. Not all knot diagrams of alternating knots need be alternating diagrams. The TREFOIL KNOT and FIGURE-OF-EIGHT KNOT are alternating knots. One of TAIT'S KNOT CONJECTURES states that the number of crossings is the same for any diagram of a reduced alternating knot. Furthermore, a reduced alternating projection of a knot has the least number of crossings for any projection of that knot.

The to the Knot Mathematical Freeman, pp. 165469, Book: Theory 1994. An Elementary of Knots. New Introduction York: W. H. Alexander, J. W. " Trans. Amer. Math. Sot. 30, 275-306, 1928. Alexander-Spanier Cohomology Algebra Alexander, J. W. ” Proc. Nat. Acad. Sci. USA 9, 93-95, 1923, Doll, H. and Hoste, J. ” Math. Comput. 57, 747-761, 1991. Jones, V. ” Bull. Amer. Math. Sot. 12, 103-111, 1985. Rolfsen, D. ” Appendix C in Knots and Links. Wilmington, DE: Publish or Perish Press, pp. 280-287, 1976. Stoimenow, A.

The Algorithm Design Manual. Springer-Verlag, 1997. Wilf, H. Algorithms and Complexity. edu/-uilf/. Algorithmic New Cliffs, NJ: COMPLEXITY The problem is called the billiard problem because it corresponds to finding the POINT on the edge of a circular “BILLIARD" table at which a cue ball at a given POINT must be aimed in order to carom once off the edge of the table and strike another ball at a second given POINT. The solution leads to a BIQUADRATIC EQUATION of the form - y”) - 2Kxy + (x2 + y2)(hy - kx) = 0.

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