Euclid ’ s algorithm appears as Proposition II in Book VII (" Elementary Number Theory ") of his Elements.

* Øystein Ore 1948, 1988, Number Theory and Its History, Dover Publications, Inc. New York, ISBN 0-486-65620-9 ( pbk.

He had introduced the adele ring in the late 1930s, following Claude Chevalley's lead with the ideles, and given a proof of the Riemann – Roch theorem with them ( a version appeared in his Basic Number Theory in 1967 ).

He also wrote several books on the history of Number Theory.

* Basic Number Theory ( 1967 )

* Number Theory for Beginners ( 1979 ) with Maxwell Rosenlicht

* Bimal Krishna, K. Y. Lin, Hari C. Krishna: Computational Number Theory & Digital Signal Processing, CRC Press, ISBN 0-8493-7177-5

* L. Washington, Elliptic Curves: Number Theory and Cryptography, Chapman & Hall / CRC, 2003.

Published in English translation as " The Grounding of Elementary Number Theory ", in Mancosu 1998, pp. 266 – 273.

* Akihiro Kanamori, " Cohen and Set Theory ", The Bulletin of Symbolic Logic, Volume 14, Number 3, Sept. 2008.

): Computational Methods in Number Theory, Vol.

Ideals were first proposed by Richard Dedekind in 1876 in the third edition of his book Vorlesungen über Zahlentheorie ( English: Lectures on Number Theory ).

One further work of Germain's on elasticity was published posthumously in 1831: her “ Memoir sur la courbure des surfaces .” She used the mean curvature in her research ( see Honors in Number Theory ).

* Typographical Number Theory, a formal axiomatic basis for number theory in mathematics

* Ulam conjecture ( in Number Theory )

"' Flexible ' Predicates of Formal Number Theory ," Proceedings of the American Mathematical Society, 13 ( 4 ): 647-650.

Puns are occasionally used to connect ideas, such as " the Magnificrab, Indeed " with Bach's Magnificat in D ; " SHRDLU, Toy of Man's Designing " with Bach's Jesu, Joy of Man's Desiring ; and " Typographical Number Theory ", or " TNT ", which inevitably reacts explosively when it attempts to make statements about itself.

Geometric and Analytic Number Theory.

* Tom M. Apostol, Modular Functions and Dirichlet Series in Number Theory, Springer-Verlag, New York, 1976.

* Number theory – Theory of the integers.

* Spin Networks in Gauge Theory, John C. Baez, Advances in Mathematics, Volume 117, Number 2, February 1996, pp. 253 – 272.

* Lindsey, W. " Error probabilities for Rician fading multichannel reception of binary and N-ary signals ", IEEE Transactions on Information Theory, Volume 10, Number 4, October 1964, Pages 339 – 350.

*" The Theory of Evolution in its application to Practice ", in Mind, Volume I, Number 1 January 1876, 52 – 67,

Chapter 2 of Essays in Index Number Theory, Volume I, W. E.

* Nowell, Charles E. " The Discovery of the Pacific: A Suggested Change of Approach ," The Pacific Historical Review ( Volume XVI, Number 1 ; February, 1947 ): 1 – 10.

" Reconsidering C. Vann Woodward's The Comparative Approach to American History ," Reviews in American History, Volume 23, Number 3, September 1995, pp. 552-563

Some of these books, such as The Number of the Beast and The Cat Who Walks Through Walls, start out as tightly constructed adventure stories, but transform into philosophical fantasias at the end.

It is a matter of opinion whether this demonstrates a lack of attention to craftsmanship or a conscious effort to expand the boundaries of science fiction, either into a kind of magical realism, continuing the process of literary exploration that he had begun with Stranger in a Strange Land, or into a kind of literary metaphor of quantum science ( The Number of the Beast dealing with the Observer problem, and The Cat Who Walks Through Walls being a direct reference to the Schrödinger's cat thought experiment ).

Other books in this cycle include Methuselah's Children, Time Enough for Love, The Number of the Beast, and The Cat Who Walks Through Walls.

The Cat Who Walks Through Walls may be regarded as part of Heinlein's multiverse series, or as a sequel to both The Number of the Beast and The Moon Is a Harsh Mistress.

Hazel, Castor, and Pollux reappear in The Number of the Beast and The Cat Who Walks Through Walls.

Robert A. Heinlein's later books ( The Number of the Beast, The Cat Who Walks Through Walls and To Sail Beyond the Sunset ) propose the idea that every real universe is a fiction in another Universe.

In The Number of the Beast by Robert A. Heinlein published in 1980, positronic brains are mentioned fleetingly in chapter 46 as a threatened replacement for Dora, a space yacht's computer from various others of Heinlein's books, including The Cat Who Walks Through Walls.

Lazarus Long also appears in The Number of the Beast and The Cat Who Walks Through Walls.

Meeting the Needs of Seattle's Native American Community Through Conversion ", Race, Poverty & the Environment, Volume IV, Number 4 / Volume V, Number 1 Spring-Summer 1994, p. 3 – 6.

Through functionality creep, the SIN has become a national identification number, in much the same way that the Social Security Number has in the United States.

Their first album released through the major label was Leaving Through the Window ( 2002 ) which premiered at Number 1 / Hot Shot Debut on the Billboard Top Heatseekers chart on June 8, 2002 and eventually peaked at number 101 on the Billboard 200.

Joe is quite similar to the more taciturn male heroes such as Zebadiah Carter and Richard Ames from, respectively, The Number of the Beast and The Cat Who Walks Through Walls.

" Transformation Through Crisis: The American Jewish Committee and the Six-Day War ," American Jewish History, Volume 86, Number 1, March 1998, pp. 27 – 54 in Project MUSE

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Through The Years Of Proceeding A Number Of Drummer Came To Share Their Visions With The Band.