LEADER 06730nam 22007095 450 001 9910483913903321 005 20200701200707.0 010 $a3-030-36568-9 024 7 $a10.1007/978-3-030-36568-4 035 $a(CKB)4100000010661160 035 $a(DE-He213)978-3-030-36568-4 035 $a(MiAaPQ)EBC6135140 035 $a(PPN)243226764 035 $a(EXLCZ)994100000010661160 100 $a20200316d2020 u| 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aFrom Analysis to Visualization$b[electronic resource] $eA Celebration of the Life and Legacy of Jonathan M. Borwein, Callaghan, Australia, September 2017 /$fedited by David H. Bailey, Naomi Simone Borwein, Richard P. Brent, Regina S. Burachik, Judy-anne Heather Osborn, Brailey Sims, Qiji J. Zhu 205 $a1st ed. 2020. 210 1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2020. 215 $a1 online resource (XXIII, 439 p. 71 illus., 32 illus. in color.) 225 1 $aSpringer Proceedings in Mathematics & Statistics,$x2194-1009 ;$v313 311 $a3-030-36567-0 327 $aSection I: Applied Analysis, Optimisation, and Convexity -- Burachik, R. and Li, G: Introduction .-Borwein, D., Borwein, J. M., and Sims, B: Symmetry and the Monotonicity of Certain Riemann Sums.-Rockafellar, R. T.: Risk and Utility in the Duality Framework of Convex Analysis -- Dinh, N., Goberna, M. A., and Volle, M: Characterizations of robust and stable duality for linearly perturbed uncertain optimization problems .-Millán, R. D., Lindstrom, S. B., and Roshchina, V: Comparing Averaged Relaxed Cutters and Projection Methods: Theory and Examples -- Section II: Education -- Borwein, N. S.: Introduction -- Borwein, N. S. and Osborn, J-a. H: On the Educational Legacies of Jonathan M. Borwein -- Devlin, K.: How Mathematicians Learned to Stop Worrying and Love the Computer -- Goos, M.: Crossing Boundaries: Fostering Collaboration between Mathematics Educators and Mathematicians in Initial Teacher Education Programs -- Holmes, K.: Mathematics Education in the Computational Age: Challenges and Opportunities -- Phillips, C. and Ly, F. K: Mathematics Education for Indigenous Students in Preparation for Engineering and Information Technologies -- Assis, M. and Donovan, M: Origami as a Teaching Tool for Indigenous Mathematics Education -- Jungi?, D. and Jungi?, V.: Dynamic Visual Models: Ancient Ideas and New -- Chan, E. Y. S. and Corless, R. M: A Random Walk Through Experimental Mathematics -- Section III: Financial Mathematics -- Bailey, D. and Zhu, Q. J: Introduction -- Altman, M.: A Holistic Approach to Empirical Analysis: The Insigni?cance of P, Hypothesis Testing, and Statistical Signi?cance -- Bailey, D. H, Borwein, J. M, Salehipour, A. and Prado, M. L: Do Financial Gurus Produce Reliable Forecasts? -- Borwein, J. M and Zhu, Q. J: Entropy Maximization in Finance -- Section IV: Number Theory, Special Functions, and Pi -- Brent, R.: Introduction -- Baake, M., Coons, M, and Mañibo, N: Binary Constant-Length Substitutions and Mahler Measures of Borwein Polynomials -- Brent, R.: The Borwein Brothers, Pi and the AGM -- Calude, C. S. and Calude, E: The Road to Quantum Computational Supremacy -- Dilcher, Karl.: Nonlinear Identities for Bernoulli and Euler Polynomials -- Hussain, M. Mahboubi, S. H. and Motahari, A. S: Metrical Theory for Small Linear Forms and Applications to Interference Alignment -- Platt, D. and Trudgian, T: Improved Bounds on Brun?s Constant -- Skerritt, M. P. and Vrbik, P: Extending the PSLQ Algorithm to Algebraic Integer Relations -- Straub, A. and Zudilin, W: Short Walk Adventures. 330 $aStudents and researchers from all fields of mathematics are invited to read and treasure this special Proceedings. A conference was held 25 ?29 September 2017 at Noah?s On the Beach, Newcastle, Australia, to commemorate the life and work of Jonathan M. Borwein, a mathematician extraordinaire whose untimely passing in August 2016 was a sorry loss to mathematics and to so many members of its community, a loss that continues to be keenly felt. A polymath, Jonathan Borwein ranks among the most wide ranging and influential mathematicians of the last 50 years, making significant contributions to an exceptional diversity of areas and substantially expanding the use of the computer as a tool of the research mathematician. The contributions in this commemorative volume probe Dr. Borwein's ongoing legacy in areas where he did some of his most outstanding work: Applied Analysis, Optimization and Convex Functions; Mathematics Education; Financial Mathematics; plus Number Theory, Special Functions and Pi, all tinged by the double prisms of Experimental Mathematics and Visualization, methodologies he championed. 410 0$aSpringer Proceedings in Mathematics & Statistics,$x2194-1009 ;$v313 606 $aMathematical analysis 606 $aAnalysis (Mathematics) 606 $aMathematics?Study and teaching  606 $aEconomics, Mathematical  606 $aNumber theory 606 $aAnalysis$3https://scigraph.springernature.com/ontologies/product-market-codes/M12007 606 $aMathematics Education$3https://scigraph.springernature.com/ontologies/product-market-codes/O25000 606 $aQuantitative Finance$3https://scigraph.springernature.com/ontologies/product-market-codes/M13062 606 $aNumber Theory$3https://scigraph.springernature.com/ontologies/product-market-codes/M25001 615 0$aMathematical analysis. 615 0$aAnalysis (Mathematics). 615 0$aMathematics?Study and teaching . 615 0$aEconomics, Mathematical . 615 0$aNumber theory. 615 14$aAnalysis. 615 24$aMathematics Education. 615 24$aQuantitative Finance. 615 24$aNumber Theory. 676 $a510 702 $aBailey$b David H$4edt$4http://id.loc.gov/vocabulary/relators/edt 702 $aBorwein$b Naomi Simone$4edt$4http://id.loc.gov/vocabulary/relators/edt 702 $aBrent$b Richard P$4edt$4http://id.loc.gov/vocabulary/relators/edt 702 $aBurachik$b Regina S$4edt$4http://id.loc.gov/vocabulary/relators/edt 702 $aOsborn$b Judy-anne Heather$4edt$4http://id.loc.gov/vocabulary/relators/edt 702 $aSims$b Brailey$4edt$4http://id.loc.gov/vocabulary/relators/edt 702 $aZhu$b Qiji J$4edt$4http://id.loc.gov/vocabulary/relators/edt 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910483913903321 996 $aFrom Analysis to Visualization$92161872 997 $aUNINA