Rujukan Matematik

Rujukan Matematik_India

Bourbaki, Nicolas (1998), written at Berlin, Heidelberg, and New York, Elements of the History of Mathematics, Springer-Verlag, 301 pages, ISBN 3540647678, <http://www.amazon.com/Elements-History-Mathematics-Nicolas-Bourbaki/dp/3540647678/>.
Boyer, C. B. & U. C. Merzback (fwd. by Issac Asimov) (1991), written at New York, History of Mathematics, John Wiley and Sons, 736 pages, ISBN 0471543977, <http://www.amazon.com/dp/0471543977>.
Bressoud, David (2002), "Was Calculus Invented in India?", The College Mathematics Journal (Math. Assoc. Amer.) 33 (1): 2-13, <http://links.jstor.org/sici?sici=0746-8342%28200201%2933%3A1%3C2%3AWCIII%3E2.0.CO%3B2-5>.
Bronkhorst, Johannes (2001), "Panini and Euclid: Reflections on Indian Geometry", Journal of Indian Philosophy, (Springer Netherlands) Springer Netherlands, 29 (1-2): 43-80, <http://dx.doi.org/10.1023/A:1017506118885>.
Burnett, Charles (2006), "The Semantics of Indian Numerals in Arabic, Greek and Latin", Journal of Indian Philosophy, (Springer-Netherlands) Springer Netherlands, 34 (1-2): 15-30, <http://dx.doi.org/10.1007/s10781-005-8153-z>.
Burton, David M. (1997), The History of Mathematics: An Introduction, The McGraw-Hill Companies, Inc., 193-220.
Cooke, Roger (2005), written at New York, The History of Mathematics: A Brief Course, Wiley-Interscience, 632 pages, ISBN 0471444596, <http://www.amazon.com/dp/0471444596/>.
Dani, S. G. (July 25, 2003), "Pythogorean Triples in the Sulvasutras", Current Science 85 (2): 219-224, <http://www.ias.ac.in/currsci/jul252003/219.pdf>.
Datta, Bibhutibhusan (Dec., 1931), "Early Literary Evidence of the Use of the Zero in India", The American Mathematical Monthly 38 (10): 566-572, <http://links.jstor.org/sici?sici=0002-9890%28193112%2938%3A10%3C566%3AELEOTU%3E2.0.CO%3B2-O>.
Datta, Bibhutibhusan & Avadesh Narayan Singh (1962), written at Bombay, History of Hindu Mathematics: A Source Book, Asia Publishing House.
De Young, Gregg (1995), "Euclidean Geometry in the Mathematical Tradition of Islamic India", Historia Mathematica 22: 138-153, <http://dx.doi.org/10.1006/hmat.1995.1014>.
Encyclopaedia Britannica (Kim Plofker) (2007), "mathematics, South Asian", Encyclopædia Britannica Online: 1-12, <http://www.britannica.com/eb/article-9389286>.
Filliozat, Pierre-Sylvain (2004), "[http://www.springerlink.com/content/x0000788497q4858/ Ancient Sanskrit Mathematics: An Oral Tradition and a Written Literature"], written at Dordrecht, in Chemla, Karine; Robert S. Cohen & Jürgen Renn et al., History of Science, History of Text (Boston Series in the Philosophy of Science), Springer Netherlands, 254 pages, pp. 137-157, 137-157, ISBN 9781402023200, <http://www.springerlink.com/content/uvl550/>.
Fowler, David (1996), "Binomial Coefficient Function", The American Mathematical Monthly 103 (1): 1-17, <http://links.jstor.org/sici?sici=0002-9890%28199601%29103%3A1%3C1%3ATBCF%3E2.0.CO%3B2-1>.
Hayashi, Takao (1995), written at Groningen, The Bakhshali Manuscript, An ancient Indian mathematical treatise, Egbert Forsten, 596 pages, ISBN 906980087X.
Hayashi, Takao (1997), "Aryabhata's Rule and Table of Sine-Differences", Historia Mathematica 24 (4): 396-406, <http://dx.doi.org/10.1006/hmat.1997.2160>.
Hayashi, Takao (2003), "Indian Mathematics", written at Baltimore, MD, in Grattan-Guinness, Ivor, Companion Encyclopedia of the History and Philosophy of the Mathematical Sciences, vol. 1, pp. 118-130, The Johns Hopkins University Press, 976 pages, ISBN 0801873967.
Hayashi, Takao (2005), "Indian Mathematics", written at Oxford, in Flood, Gavin, The Blackwell Companion to Hinduism, Basil Blackwell, 616 pages, pp. 360-375, 360-375, ISBN 9781405132510.
Henderson, David W. (2000), "[http://www.math.cornell.edu/~dwh/papers/sulba/sulba.html Square roots in the Sulba Sutras"], written at Washington DC, in Gorini, Catherine A., Geometry at Work: Papers in Applied Geometry, vol. 53, pp. 39-45, Mathematical Association of America Notes, 236 pages, 39-45, ISBN 0883851644, <http://www.amazon.com/Geometry-Mathematical-Association-America-Notes/dp/0883851644/>.
Ifrah, Georges (2000), written at New York, A Universal History of Numbers: From Prehistory to Computers, Wiley, 658 pages, ISBN 0471393401, <http://www.amazon.com/Universal-History-Numbers-Prehistory-Invention/dp/0471393401/>.
Joseph, G. G. (2000), written at Princeton, NJ, The Crest of the Peacock: The Non-European Roots of Mathematics, Princeton University Press, 416 pages, ISBN 0691006598, <http://www.amazon.com/Crest-Peacock-George-Gheverghese-Joseph/dp/0691006598/>.
Katz, Victor J. (1995), "Ideas of Calculus in Islam and India", Mathematics Magazine (Math. Assoc. Amer.) 68 (3): 163-174, <http://links.jstor.org/sici?sici=0025-570X%28199506%2968%3A3%3C163%3AIOCIIA%3E2.0.CO%3B2-2>.
Keller, Agathe (2005), "Making diagrams speak, in Bhāskara I's commentary on the Aryabhaṭīya", Historia Mathematica 32 (3): 275-302, <http://dx.doi.org/10.1016/j.hm.2004.09.001>.
Kichenassamy, Satynad (2006), "Baudhāyana's rule for the quadrature of the circle", Historia Mathematica 33 (2): 149-183, <http://dx.doi.org/10.1016/j.hm.2005.05.001>.
Pingree, David (1971), "On the Greek Origin of the Indian Planetary Model Employing a Double Epicycle", Journal of Historical Astronomy 2 (1): 80-85.
Pingree, David (1973), "The Mesopotamian Origin of Early Indian Mathematical Astronomy", Journal of Historical Astronomy 4 (1): 1-12.
Pingree, David (1988), "Reviewed Work(s): The Fidelity of Oral Tradition and the Origins of Science by Frits Staal", Journal of the American Oriental Society 108 (4): 637-638, <http://links.jstor.org/sici?sici=0003-0279%28198810%2F12%29108%3A4%3C637%3ATFOOTA%3E2.0.CO%3B2-V>.
Pingree, David (2003), "The logic of non-Western science: mathematical discoveries in medieval India", Daedalus 132 (4): 45-54, <http://www.questia.com/googleScholar.qst?docId=5007155010>.
Plofker, Kim (1996), "An Example of the Secant Method of Iterative Approximation in a Fifteenth-Century Sanskrit Text", Historia Mathematica 23 (3): 246-256, <http://dx.doi.org/10.1006/hmat.1996.0026>.
Plofker, Kim (2001), "The "Error" in the Indian "Taylor Series Approximation" to the Sine", Historia Mathematica 28 (4): 283-295, <http://dx.doi.org/10.1006/hmat.2001.2331>.
Plofker, K. (July 20 2007), "Mathematics of India", written at Princeton, NJ, in Katz, Victor J., The Mathematics of Egypt, Mesopotamia, China, India, and Islam: A Sourcebook, Princeton University Press, 685 pages, pp 385-514, 2007, 385-514, ISBN 0691114854.
Price, John F. (2000), "[http://www.ithaca.edu/osman/crs/sp07/265/cal/lec/week11/SulbaSutras.pdf Applied geometry of the Sulba Sutras"], written at Washington DC, in Gorini, Catherine A., Geometry at Work: Papers in Applied Geometry, vol. 53, pp. 46-58, Mathematical Association of America Notes, 236 pages, 46-58, ISBN 0883851644, <http://www.amazon.com/Geometry-Mathematical-Association-America-Notes/dp/0883851644/>.
Roy, Ranjan (1990), "Discovery of the Series Formula for π {\displaystyle \pi } by Leibniz, Gregory, and Nilakantha", Mathematics Magazine (Math. Assoc. Amer.) 63 (5): 291-306, <http://links.jstor.org/sici?sici=0025-570X%28199012%2963%3A5%3C291%3ATDOTSF%3E2.0.CO%3B2-C>.
Singh, A. N. (1936), "On the Use of Series in Hindu Mathematics", Osiris 1: 606-628, <http://links.jstor.org/sici?sici=0369-7827%28193601%291%3A1%3C606%3AOTUOSI%3E2.0.CO%3B2-H>
Staal, Frits (1986), written at Mededelingen der Koninklijke Nederlandse Akademie von Wetenschappen, Afd. Letterkunde, NS 49, 8. Amsterdam, The Fidelity of Oral Tradition and the Origins of Science, North Holland Publishing Company, 40 pages.
Staal, Frits (1995), "The Sanskrit of science", Journal of Indian Philosophy, (Springer Netherlands) Springer Netherlands, 23 (1): 73-127, <http://dx.doi.org/10.1007/BF01062067>.
Staal, Frits (1999), "Greek and Vedic Geometry", Journal of Indian Philosophy, Springer Netherlands, 27 (1-2): 105-127, <http://dx.doi.org/10.1023/A:1004364417713>.
Staal, Frits (2001), "Squares and oblongs in the Veda", Journal of Indian Philosophy, (Springer Netherlands) Springer Netherlands, 29 (1-2): 256-272, <http://dx.doi.org/10.1023/A:1017527129520>.
Staal, Frits (2006), "Artificial Languages Across Sciences and Civilizations", Journal of Indian Philosophy, (Springer Netherlands) Springer Netherlands, 34 (1): 89-141, <http://dx.doi.org/10.1007/s10781-005-8189-0>.
Stillwell, John (2004), written at Berlin and New York, Mathematics and its History (2 ed.), Springer, 568 pages, ISBN 0387953361, <http://www.amazon.com/Mathematics-its-History-John-Stillwell/dp/0387953361/>.
Thibaut, George (1984, orig. 1875), written at Calcutta and Delhi, Mathematics in the Making in Ancient India: reprints of 'On the Sulvasutras' and 'Baudhyayana Sulva-sutra', K. P. Bagchi and Company (orig. Journal of Asiatic Society of Bengal), 133 pages.
van der Waerden, B. L. (1983), written at Berlin and New York, Geometry and Algebra in Ancient Civilizations, Springer, 223 pages, ISBN 0387121595
van der Waerden, B. L. (1988), "On the Romaka-Siddhānta", Archive for History of Exact Sciences 38 (1): 1-11, <http://dx.doi.org/10.1007/BF00329976>
van der Waerden, B. L. (1988), "Reconstruction of a Greek table of chords", Archive for History of Exact Sciences 38 (1): 23-38, <http://dx.doi.org/10.1007/BF00329978>
Van Nooten, B. (1993), "Binary numbers in Indian antiquity", Journal of Indian Philosophy, Springer Netherlands, 21 (1): 31-50, <http://dx.doi.org/10.1007/BF01092744>
Yano, Michio (2006), "Oral and Written Transmission of the Exact Sciences in Sanskrit", Journal of Indian Philosophy (Springer Netherlands) 34 (1-2): 143-160, <http://dx.doi.org/10.1007/s10781-005-8175-6>.