Man and the Need for Numbers

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The arithmetic average is easy to understand, and can be used to define the classical integral in a straightforward way, readily understood by beginners. This very original piece of mathematics will surely expose a number of missed opportunities in the history of the subject." - Ivor Grattan-Guinness, from his review of Non-Newtonian Calculus [101] (1977). "[B]y far the most usual way of handling phenomena so novel that they would make for a serious rearrangement of our preconceptions is to ignore them altogether, or to abuse those who bear witness for them." - William James, as quoted in the book Pragmatism: A Series of Lectures by William James, 1906-1907 (2008). "I'm pleased that, towards the end of his life, [Benoit Mandelbrot] received due recognition, because it took a long time for the mathematical community to understand something that must have been obvious to him: fractals were important.

Pages: 132

Publisher: Advantage Inspirational (June 15, 2007)

ISBN: 1597550817

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Fixed points for multiplicative expansive mappings in multiplicative metric space", International Journal of Mathematical Analysis, Volume 9, Number 39, www.m-hikari.com, http://dx.doi.org/10.12988/ijma.2015.54130, Hikari Ltd., 2015. [243] Shin Min Kang, Parveen Kumar, Sanjay Kumar, and Bu Young Lee. "Common fixed points for compatible mappings of types in multiplicative metric spaces", International Journal of Mathematical Analysis, Volume 9, Number 36, www.m-hikari.com, http://dx.doi.org/10.12988/ijma.2015.53104, Hikari Ltd., 2015. [244] Parveen Kumar, Sanjay Kumar, and Shin Min Kang. "Common fixed point theorems for subcompatible and occasionally weakly compatible mappings in multiplicative metric spaces", International Journal of Mathematical Analysis, Volume 9, Number 36, http://dx.doi.org/10.12988/, Hikari Ltd, 2015. [245] Riswan Efendi, Zuhaimy Ismail, Nor Haniza Sarmin, and Mustafa Mat Deris. "A reversal model of fuzzy time series in regional load forecasting", International Journal of Energy and Statistics, Volume 03, Issue 01, DOI: 10.1142/S2335680415500039, World Scientific, 2015. [246] Riswan Efendi, Zuhaimy Ismail, and Mustafa Mat Deris. "A new linguistic out-sample approach of fuzzy time series for daily forecasting of Malaysian electricity load demand", Applied Soft Computing, Volume 28, Issue C, Doi: 10.1016/j.asoc.2014.11.043, Elsevier, 2015. [247] Christoffel Wilhelmus Janse Rensburg. "The relationship between process maturity models and the use and effectiveness of systems development methodologies", master-of-science dissertation, North-West University at Potchefstroom in South Africa, 2012. [248] Hong-Kyu Kim, Mirim Lee, Kwang-Ryeol Lee, and Jae-Chul Lee. "How can a minor element added to a binary amorphous alloy simultaneously improve the plasticity and glass-forming ability?", Acta Materialia, Volume 61, Issue 17, ISSN: 1359-6454, Elsevier, 2013. [249] Feng Gu and Yeol-Je Cho. "Common fixed point results for four maps satisfying ϕ-contractive condition in multiplicative metric spaces", Fixed Point Theory and Applications, Volume 2015:165, doi:10.1186/s13663-015-0412-4, Springer, 2015. [250] Bülent Bilgehan, Buğçe Eminağa, and Mustafa Riza. "New solution method for electrical systems represented by ordinary differential equation", Journal of Circuits, Systems and Computers, Volume 25, Issue 02, DOI: 10.1142/S0218126616500110, World Scientific, 2016. [251] Thabet Abdeljawad. "On multiplicative fractional calculus", arXiv.org, Cornell University, arXiv:1510.04176, 2015. [252] Muhammad Usman Ali. "Caristi mapping in multiplicative metric spaces", Science International (Lahore), 27(5), 3917-3919, ISSN:1013-5316, CODEN: SINTE 8, 2015. [253] Ugur Kadak. "Cesaro summable sequence spaces over the non-Newtonian complex field", Journal of Probability and Statistics, Hindawi Publishing Corporation, October of 2015. [254] Demet Binbaşıoǧlu, Serkan Demiriz, and Duran Türkoǧlu. "Fixed points of non-Newtonian contraction mappings on non-Newtonian metric spaces", Journal of Fixed Point Theory and Applications, Springer, November of 2015. [255] Parveen Kumar, Sanjay Kumar, and Shin Min Kang. "Common fixed points for weakly compatible mappings in multiplicative metric spaces", International Journal of Mathematical Analysis, Volume 9, Number 42, http://dx.doi.org/10.12988/ijma.2015.56162, Hikari Ltd., 2015. [256] Leonid G WELL TESTING: INTERPRETATION download pdf mypremiumrapidsystem.com.

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