Teyorya hin ihap

An teyorya han ihap in bahin han matematika. Ini in nagbabaton kon ano an dirudilain nga ihap, ano it ira may-ada na kinaiya, ngan mga pamaagi kon diin hira magagamitan.

Pinanbasaran

Mga pagkukuhaan

Apostol, Tom M. (1976). Introduction to analytic number theory. Undergraduate texts in mathematics. Springer. ISBN 978-0-387-90163-3. http://books.google.co.uk/books?id=Il64dZELHEIC.
Apostol, Tom M. (n.d.). "An introduction to the theory of numbers". (Review of Hardy & Wright.) Mathematical Reviews (MathSciNet) MR0568909. American Mathematical Society. Cite journal requires |journal= (help) (Subscription needed)
Becker, Oskar (1936). "Die Lehre von Geraden und Ungeraden im neunten Buch der euklidischen Elemente". Quellen und Studien zur Geschichte der Mathematik, Astronomie und Physik. Abteilung B:Studien (ha German). Berlin: J. Springer Verlag. 3: 533–53.
Boyer, Carl Benjamin; Merzbach, Uta C. (1991) [1968]. A History of Mathematics (2nd ed.). New York: Wiley. ISBN 978-0-471-54397-8. https://archive.org/details/historyofmathema00boye. 1968 edition at archive.org
Clark, Walter Eugene (trans.) (1930). The Āryabhaṭīya of Āryabhaṭa: An ancient Indian work on mathematics and astronomy. University of Chicago Press. http://www.archive.org/details/The_Aryabhatiya_of_Aryabhata_Clark_1930.
Colebrooke, Henry Thomas (1817). Algebra, with arithmetic and mensuration, from the Sanscrit of Brahmegupta and Bháscara.. London: J. Murray. http://www.archive.org/details/algebrawitharith00brahuoft.
Davenport, Harold; Montgomery, Hugh L. (2000). Multiplicative number theory. Graduate texts in mathematics. 74 (revised 3rd ed.). Springer. ISBN 978-0-387-95097-6.
Edwards, Harold M. (Nobyembre 1983). "Euler and quadratic reciprocity". Mathematics Magazine. Mathematical Association of America. 56 (5): 285–291. doi:10.2307/2690368. JSTOR 2690368.
Edwards, Harold M. (2000) [1977]. Fermat's Last Theorem: a genetic introduction to algebraic number theory. Graduate texts in mathematics. 50 (reprint of 1977 ed.). Springer Verlag. ISBN 978-0-387-95002-0. http://books.google.co.uk/books?id=_IxN-5PW8asC.
Fermat, Pierre de (1679) (in French & Latin). Varia Opera Mathematica. Toulouse: Joannis Pech. http://books.google.co.uk/books?id=fvZaAAAAQAAJ.
Friberg, Jöran (Agosto 1981). "Methods and traditions of Babylonian mathematics: Plimpton 322, Pythagorean triples and the Babylonian triangle parameter equations". Historia Mathematica. Elsevier. 8 (3): 277–318. doi:10.1016/0315-0860(81)90069-0.
von Fritz, Kurt (2004). "The discovery of incommensurability by Hippasus of Metapontum". In Christianidis, J.. Classics in the History of Greek Mathematics. Berlin: Kluwer (Springer). ISBN 978-1-4020-0081-2.
Gauss, Carl Friedrich; Waterhouse, William C. (trans.) (1966) [1801]. Disquisitiones Arithmeticae. Springer. ISBN 978-0-387-96254-2. http://books.google.co.uk/books?id=8LcK_CwzMpQC.
Goldfeld, Dorian M. (2003). "Elementary proof of the prime number theorem: a historical perspective" (PDF).
Goldstein, Catherine; Schappacher, Norbert (2007). "A book in search of a discipline". In Goldstein, C.; Schappacher, N.; Schwermer, Joachim. The Shaping of Arithmetic after Gauss' "Disquisitiones Arithmeticae". Berlin & Heidelberg: Springer. pp. 3–66. ISBN 978-3-540-20441-1. http://books.google.co.uk/books?id=IUFTcOsMTysC.
Granville, Andrew (2008). "Analytic number theory". In Gowers, Timothy; Barrow-Green, June; Leader, Imre. The Princeton Companion to Mathematics. Princeton University Press. ISBN 978-0-691-11880-2. http://books.google.co.uk/books?id=ZOfUsvemJDMC&pg=PA332.
Porphyry; Guthrie, K. S. (trans.) (1920). Life of Pythagoras. Alpine, New Jersey: Platonist Press. http://www.tertullian.org/fathers/porphyry_life_of_pythagoras_02_text.htm.
Guthrie, Kenneth Sylvan (1987). The Pythagorean Sourcebook and Library. Grand Rapids, Michigan: Phanes Press. ISBN 978-0-933999-51-0. https://archive.org/details/pythagoreansourc0000guth.
Hardy, Godfrey Harold; Wright, E. M. (2008) [1938]. An Introduction to the Theory of Numbers (Sixth ed.). Oxford University Press. ISBN 978-0-19-921986-5.
Heath, Thomas L. (1921). A History of Greek Mathematics, Volume 1: From Thales to Euclid. Oxford: Clarendon Press. http://www.archive.org/details/historyofgreekma01heat.
Hopkins, J. F. P. (1990). "Geographical and navigational literature". In Young, M. J. L.; Latham, J. D.; Serjeant, R. B.. Religion, learning and science in the `Abbasid period. The Cambridge history of Arabic literature. Cambridge University Press. ISBN 978-0-521-32763-3.
Huffman, Carl A. (8 Agosto 2011). Zalta, Edward N. (ed.). "Pythagoras". Stanford Encyclopaedia of Philosophy (Fall 2011 ed.). Ginkuhà 7 Pebrero 2012.
Iwaniec, Henryk; Kowalski, Emmanuel (2004). Analytic number theory. American Mathematical Society Colloquium Publications. 53. Providence, RI,: American Mathematical Society. ISBN 0-8218-3633-1.
Plato; Jowett, Benjamin (trans.) (1871). Theaetetus. http://classics.mit.edu/Plato/theatu.html. Ginhipos 9 Hulyo 2011 han Wayback Machine
Lam, Lay Yong; Ang, Tian Se (2004). Fleeting Footsteps: Tracing the conception of arithmetic and algebra in ancient China (revised ed.). Singapore: World Scientific. ISBN 978-981-238-696-0. http://books.google.co.uk/books?id=fGYmpWE5UZgC.
Long, Calvin T. (1972). Elementary Introduction to Number Theory (2nd ed.). Lexington: D. C. Heath and Company. https://archive.org/details/elementaryintrod0000long_m1z0_2ndedi.
Mahoney, M. S. (1994). The mathematical career of Pierre de Fermat, 1601–1665 (Reprint, 2nd ed.). Princeton University Press. ISBN 978-0-691-03666-3. http://books.google.co.uk/books?id=My19IcewAnoC.
Milne, J. S. (2014). Algebraic number theory. Available at www.jmilne.org/math.
Montgomery, Hugh L.; Vaughan, Robert C. (2007). Multiplicative number theory: I, Classical Theory,. Cambridge University Press. ISBN 978-0-521-84903-6. http://books.google.co.uk/books?id=nGb1NADRWgcC.
Morrow, Glenn Raymond (trans., ed.); Proclus (1992). A commentary on Book 1 of Euclid's Elements. Princeton University Press. ISBN 978-0-691-02090-7. http://books.google.co.uk/books?id=JZEHj2fEmqAC&pg=PA52.
Mumford, David (Marso 2010). "Mathematics in India: reviewed by David Mumford" (PDF). Notices of the American Mathematical Society. 57 (3): 387. ISSN 1088-9477.
Neugebauer, Otto E. (1969). The exact sciences in antiquity (corrected reprint of the 1957 ed.). New York: Dover Publications. ISBN 978-0-486-22332-2. http://books.google.co.uk/books?id=JVhTtVA2zr8C.
Neugebauer, Otto E.; Sachs, Abraham Joseph; Götze, Albrecht (1945). Mathematical cuneiform texts. American Oriental Series. 29. American Oriental Society etc..
O'Grady, Patricia (Septyembre 2004). "Thales of Miletus". The Internet Encyclopaedia of Philosophy. Ginkuhà 7 Pebrero 2012.
Pingree, David; Ya'qub, ibn Tariq (1968). "The fragments of the works of Ya'qub ibn Tariq". Journal of Near Eastern Studies. University of Chicago Press. 26.
Pingree, D.; al-Fazari (1970). "The fragments of the works of al-Fazari". Journal of Near Eastern Studies. University of Chicago Press. 28.
Plofker, Kim (2008). Mathematics in India. Princeton University Press. ISBN 978-0-691-12067-6.
Qian, Baocong, ed. (1963) (in Chinese). Suanjing shi shu (Ten mathematical classics). Beijing: Zhonghua shuju. http://www.scribd.com/doc/53797787/Jigu-Suanjing%E3%80%80%E7%B7%9D%E5%8F%A4%E7%AE%97%E7%B6%93-Qian-Baocong-%E9%8C%A2%E5%AF%B6%E7%90%AE.
Rashed, Roshdi (1980). "Ibn al-Haytham el le théorème de Wilson". Archive for History of Exact Sciences. 22 (4): 305–321. doi:10.1007/BF00717654.
Robson, Eleanor (2001). "Neither Sherlock Holmes nor Babylon: a reassessment of Plimpton 322" (PDF). Historia Mathematica. Elsevier. 28 (28): 167–206. doi:10.1006/hmat.2001.2317. Ginhipos tikang han orihinal (PDF) han 21 Oktubre 2014. Ginkuhà 1 Pebrero 2015.
Sachau, Eduard (1888). Alberuni's India: An account of the religion, philosophy, literature, geography, chronology, astronomy and astrology of India, Vol. 1. London: Kegan, Paul, Trench, Trübner & Co.. http://onlinebooks.library.upenn.edu/webbin/book/lookupname?key=Sachau%2C%20Eduard%2C%201845-1930.
Serre, Jean-Pierre (1996) [1973]. A course in arithmetic. Graduate texts in mathematics. 7. Springer. ISBN 978-0-387-90040-7.
Smith, D. E. (1958). History of Mathematics, Vol I. New York: Dover Publications.
Tannery, Paul; Henry, Charles (eds.); Fermat, Pierre de (1891) (in French & Latin). Oeuvres de Fermat. (4 Vols.). Paris: Imprimerie Gauthier-Villars et Fils. Volume 1 Volume 2 Volume 3 Volume 4 (1912)
Iamblichus; Taylor, Thomas (trans.) (1818). Life of Pythagoras or, Pythagoric life. London: J. M. Watkins. http://www.aurumsolis.info/index.php?option=com_phocadownload&view=category&download=1%3Aiamblichus-the-pythagorean-life&id=19%3Awritings-from-the-founders&Itemid=143&lang=en. Ginhipos 21 Hulyo 2011 han Wayback Machine For other editions, see Iamblichus#List of editions and translations
Truesdell, C. A. (1984). "Leonard Euler, supreme geometer". In Hewlett, John (trans.). Leonard Euler, Elements of Algebra (reprint of 1840 5th ed.). New York: Springer-Verlag. ISBN 978-0-387-96014-2. http://books.google.co.uk/books?id=mkOhy6v7kIsC. This Google books preview of Elements of algebra lacks Truesdell's intro, which is reprinted (slightly abridged) in the following book:
Truesdell, C. A. (2007). "Leonard Euler, supreme geometer". In Dunham, William. The Genius of Euler: reflections on his life and work. Volume 2 of MAA tercentenary Euler celebration. New York: Mathematical Association of America. ISBN 978-0-88385-558-4. http://books.google.co.uk/books?id=M4-zUnrSxNoC.
Varadarajan, V. S. (2006). Euler through time: a new look at old themes. American Mathematical Society. ISBN 978-0-8218-3580-7. http://books.google.co.uk/books?id=CYyKTREGYd0C.
Vardi, Ilan (Abril 1998). "Archimedes' cattle problem" (PDF). American Mathematical Monthly. 105 (4): 305–319. doi:10.2307/2589706.
van der Waerden, Bartel L.; Dresden, Arnold (trans) (1961). Science Awakening. Vol. 1 or Vol 2. New York: Oxford University Press.
Weil, André (1984). Number theory: an approach through history – from Hammurapi to Legendre,. Boston: Birkhäuser. ISBN 978-0-8176-3141-3. http://books.google.co.uk/books?id=XSV0hDFj3loC.

Mga sumpay ha gawas

Hazewinkel, Michiel, ed. (2001), "Number theory", Encyclopedia of Mathematics, Springer, ISBN
Mga darahonon nga may pagkahisumpay han Teyorya hin ihap ha Wikiquote

Number Theory Web