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Next: Books and Software Up: Jonathan Borwein: Curriculum Vitae Previous: Refereed journal publications (&

Refereed or invited proceedings, chapters, notices and blogs

  1. D. H. Bailey and J. M. Borwein, ``Experimental Mathematics in the Society of the Future". Chapter to appear in 7th European Mathematics Congress (EMC) volume on Mathematics in the Society of the Future. In press 2065.

  2. J.M. Borwein and A. Straub, Entry for August on ``Moments of random walks" in Mathematical Beauties 2016 Calendar, Springer-Verlag, 2015.

  3. J.M. Borwein and M.K. Tam, ``Reflection methods for inverse problems with applications to protein conformation determination." Springer volume from CIMPA school Generalized Nash Equilibrium Problems, Bilevel programming and MPEC New Delhi, India, Dec. 2012. In Press, August 2014.

  4. Jonathan Borwein, The Human face of Computation. Conversations with famous computer scientists, Cristian S. Calude Editor, Advances in Computer Science and Engineering, Volume 9, Imperial College Press (London). October 2015. See http://www.worldscientific.com/worldscibooks/10.1142/p992.

  5. D. H. Bailey and J. M. Borwein, ``Computation as an ontological game changer: The impact of modern mathematical computation tools on the ontology of mathematics." Chapter , pp. 25-67, in Mathematics, Substance and Surmise: Views on the Meaning and Ontology of Mathematics. Ernest and Philip J. Davis editors. Springer-Verlag, 2015.

  6. D. Bailey, J. Borwein, and V. Stodden. ``Facilitating Reproducibility in Scientific Computing: Principles and Practice." Chapter 9, pages 205-232 in Reproducibility - Principles, Problems, Practices. Harald Atmanspacher and Sabine Maasen editors. John Wiley & Sons, New York 2016.

  7. David H. Bailey and Jonathan M. Borwein, ``Ancient Indian Square Roots to appear in Encyclopaedia of the History of Science, Technology, and Medicine in Non-Western Cultures, Edition 3, Springer-Verlag, 2015. Redacted from American Mathematical Monthly. 119 (8) October (2012), 646-657.

  8. David Bailey and Jonathan Borwein, ``Experimental Applied Mathematics." As a Final Perspective in the Princeton Companion to Applied Mathematics. Entry VIII.6, 925-932, 2015.

  9. J.M. Borwein, ``The Future of Mathematics: 1965 to 2065." Pages 313-330 in Celebrating a Century of Advancing Mathematics (MAA Centenary Volume) , Stephen Kennedy et al editors, 2015. Print ISBN: 978-0-88385-588-1 and Electronic ISBN: 978-1-61444-522-7.

  10. Jonathan M. Borwein and Liangjin Yao, ``Recent progress on Monotone Operator Theory." Infinite Products of Operators and Their Applications. A volume in Contemporary Mathematics. 636 (2015), 51-81. http://dx.doi.org/10.1090/conm/636/12728.

  11. J.M. Borwein, ``Who we are and how we got that way." Pages 140-156 in in MAA Spectrum volume I, Mathematician. P. Casazza, S.G. Krantz, and R.D. Ruden editors, 2015 Electronic edition ISBN: 9781614445210, Paperbound ISBN: 9780883855850.


  12. J.M. Borwein, ``Experimental computation and visual theorems." Extended Abstract for Fourth International Congress on Mathematical Software. In H. Hong and C. Yap (Eds.): ICMS 2014, LNCS 8592, pp. 1-8. Springer, Heidelberg (2014).

  13. D.H. Bailey and J.M. Borwein, ``Opportunities and Challenges in Experimental Mathematics." SIAM News,47(9) (2014), 4 and 8.

  14. J.M. Borwein, ``The Life of Pi." Extended and updated version of ``La vita di pi greco," volume 2 of Mathematics and Culture, La matematica: Problemi e teoremi, Guilio Einaudi Editori, Turino, Italian, 2008) (French, in Press). Pages 532-561 of From Alexandria, Through Baghdad: Surveys and Studies in the Ancient Greek and Medieval Islamic Mathematical Sciences in Honor of J.L. Berggren, Sidoli, Nathan; Van Brummelen, Glen (Eds.) Springer-Verlag 2014.


  15. Julia Piantadosi, Phil Howlett and Jonathan Borwein, ``Modelling and simulation of seasonal rainfall." MODSIM/ASOR 2013, Adelaide, December 2013.

  16. Jonathan Borwein and Michael Rose, ``Explainer: what is Chaos Theory." The Explainer: From Deja Vu to Why the Sky Is Blue, and Other Conundrums. Reprint of https://theconversation.edu.au/profiles/jon-borwein-101. Nov 19, 2012. CSIRO Press, 2013. Available at http://www.publish.csiro.au/pid/7165.htm.

  17. Jonathan M. Borwein, Regina Burachik and Liangjin Yao, ``Monotone operators without enlargements." Springer Proceedings in Mathematics and Statistics 50, pp. 17-53. Proceedings of the Workshop on Computational and Analytical Mathematics, Springer-Verlag, 2013. Available at http://arxiv.org/abs/1110.3102.

  18. David Bailey and Jonathan Borwein, ``Normal Numbers and Pseudorandom Generators." Springer Proceedings in Mathematics and Statistics 50, pp. 1-18. Proceedings of the Workshop on Computational and Analytical Mathematics, Springer-Verlag. 2013.

  19. J.M. Borwein, CARMA. ``One of a small selected number of researchers featured in an issue with a focus on ``Mathematics, Statistics, Numerical and Computational Mathematics,"International Innovation, July 2013, 70-72. www.international-innovation-northamerica.com.

  20. D.H. Bailey, J.M. Borwein and Victoria Stodden, ``Set the default to ``open"." Notices of the AMS. 60 (6) (2013), 679-680.

  21. Victoria Stodden, Jonathan Borwein and David H. Bailey, ``Publishing Standards for Computational Science:`Setting the Default to Reproducible'." SIAM News, 46 no. 5 (June 2013), 4-6. Available at http://www.siam.org/news/news.php?id=2078.


  22. Jonathan Borwein and Veselin Jungic, ``Organic Mathematics then and now." Notices of the AMS, 59 (2012), 416-419. See http://www.ams.org/notices/201203/rtx120300416p.pdf.

  23. J. M. Borwein, ``Exploratory Experimentation: Digitally-assisted Discovery and Proof." Chapter in ICMI Study 19: On Proof and Proving in Mathematics Education. G. Hanna and M. de Villiers (Eds.) The 19th ICMI Study, New ICMI Study Series, 15, Springer-Verlag. ISBN 978-94-007-2128-9, 2012.

  24. Jonathan M. Borwein and Judy-anne Osborn, Response to ``Experimental Approaches to Theoretical Thinking..." Chapter in ICMI Study 19: On Proof and Proving in Mathematics Education. G. Hanna and M. de Villiers (Eds.) The 19th ICMI Study, New ICMI Study Series, 15, Springer-Verlag. ISBN 978-94-007-2128-9, March 2012. .


  25. Julia Piantadosi, Phil Howlett, Jonathan Borwein and John Henstridge, ``Generation of simulated rainfall data at different time-scales." [Precis], MODSIM 2011, pp. 2654-2660.

  26. J.M. Borwein, ``Why are mathematics papers so dull?" Letter in SIAM News, p. 7, July/August 2011.

  27. Jonathan M. Borwein and D. Russell Luke, ``Entropic Regularization of the $ \ell_0$ function." Chapter 5, pp. 65-91 Fixed-Point Algorithms for Inverse Problems in Science and Engineering in Springer Optimization and Its Applications, volume 49, 2011. (Second revised edition. To appear 2015)

  28. Jonathan M. Borwein and Brailey Sims, ``The Douglas-Rachford algorithm in the absence of convexity." Chapter 6, pp. 93-109 in Fixed-Point Algorithms for Inverse Problems in Science and Engineering in Springer Optimization and Its Applications, volume 49, 2011.

  29. Jonathan M. Borwein and Armin Straub, ``Special values of generalized log-sine integrals." As pp. 43-50 in the Proceedings of the International Symposium on Symbolic and Algebraic Computation, ISSAC, 2011. Awarded ISSAC2011 Best SIGSAM-ACM Student Paper Prize.


  30. J. M. Borwein, ``Future Challenges for Variational Analysis." Variational analysis and generalized differentiation in optimization and control, 95-107, Springer Optim. Appl., 47, Springer, New York, 2010.

  31. Jonathan M. Borwein, D. Nuyens, A. Straub, and James Wan, ``Random walks in the plane." FPSAC 2010 conference (http://math.sfsu.edu/fpsac/) for a special volume of Discrete Mathematics and Theoretical Computer Science 2010.

  32. J.M. Borwein and R.L. Luke, ``Duality and Convex Programming," pp. 229-270 in Handbook of Mathematical Methods in Imaging, O. Scherzer (Editor-in-Chief), Springer-Verlag, 2010. Volume 1, Second Edition pp. 257-304, 2015.

  33. D.H. Bailey and J.M. Borwein, ``Experimental computation with oscillatory integrals." Gems in Experimental Mathematics, volume 517 , pp. 25-40 Contemporary Mathematics, 2010.

  34. D.H. Bailey, J.M. Borwein, D. Broadhurst, and W. Zudilin, ``Experimental mathematics and mathematical physics." Gems in Experimental Mathematics, pp. 41--58 of volume 517 Contemporary Mathematics, 2010.

  35. J.M. Borwein and S. Sciffer, ``An explicit non-expansive function whose subdifferential is the entire dual ball," Technion Meeting on Nonlinear Analysis, AMS Proceedings in Contemporary Mathematics, 514 (2010), 99-103.

  36. D.H. Bailey and J.M. Borwein, ``PSLQ: an Algorithm to Discover to Integer Relations", Computeralgebra Rundbrief, October 2009. Available at
    www.fachgruppe-computeralgebra.de/cms/tiki-index.php?page=Rundbrief.

  37. J.M. Borwein, ``Digitally-assisted discovery and proof," pages I.3-I.11, Proceedings of ICMI Study 19 Workshop "On Proof and Proving," National University of Taiwan, May 10-15, 2009. [D-drive Preprint 387].

  38. J.M. Borwein and R. Goebel, ``On the nondifferentiability of cone-monotone functions in Banach spaces," pp. 3-14 in Optimization: Structure and Applications, C. Pearce and E. Hunt editors, Springer Optimization and its Applications, 2009. [CECM Preprint 02:179].

  39. J.M. Borwein, ``La vita di pi greco," chapter in volume 2 of Mathematics and Culture, La matematica: Problemi e teoremi, Guilio Einaudi Editori, Turino. September 2008 (Italian). November 2009 (French) [CoLab Preprint 265]

  40. D.H. Bailey and J.M. Borwein, ``Experimental Discovery and Proof of Identities," pp. 21-52 in Tapas in Experimental Mathematics, Contemporary Mathematics, 457, 2008. [D-drive Preprint 338].

  41. J.M. Borwein and D.H. Bailey, ``What is Experimental Mathematics." Chapter One of Mathematics by Experiment: Plausible Reasoning in the 21st Century, A.K. Peters Ltd, 2004. Reprinted in Enciclopedia della Scienza e della Tecnica, Giovanni Treccani. In press.


  42. D.H. Bailey and J.M. Borwein, ``High-Precision Computation and Mathematical Physics," XII Advanced Computing and Analysis Techniques in Physics Research. Proceedings in Science, accepted April 2009.

  43. J.M. Borwein, ``Implications of Experimental Mathematics for the Philosophy of Mathematics," Ch. 2 (pp. 33-61) and Cover Image in Proof and Other Dilemmas: Mathematics and Philosophy, Bonnie Gold and Roger Simons Eds, MAA Spectrum Series. July 2008. [D-drive Preprint 280].

  44. D.H. Bailey and J.M. Borwein, ``High-Precision Numerical Integration: Progress and Challenges," MICA conference May 2008. [D-drive Preprint 382]

  45. J.M. Borwein, "Mathematics by Experiment: Plausible Reasoning in the 21st Century," chapter in ICME10 Proceedings. Web published at http://www.icme10.dk/ July 2008. [CoLab Preprint 272].

  46. J. Borwein, V. Jungic, D. Langstroth, M. Macklem and S. Wilson, ``The Coast to Coast Seminar," in Communicating Mathematics in the Digital Era, AK Peters. August 2008. [D-drive preprint 331].


  47. J.M. Borwein, "Asplund Decompositions of Monotone Operators," in Proc. Control, Set-Valued Analysis and Applications, ESAIM: Proceedings, Alain Pietrus & Michel H. Geoffroy, Editors, 17 (2007), 19-25. [CoLab Preprint 271].

  48. J.M. Borwein, V. Jungic, D. Langstroth, M. Macklem, and S. Wilson, ``The Coast-to-Coast Seminar: Five Years of Experience With AccessGrid,'' 21st Annual HPCS Proceedings, 7 pages, IEEE CD, May 2007. [D-drive Preprint 341].

  49. J.M. Borwein and W.A. Moors, ``Nonsmooth Analysis, Approximation Theory and Banach Space Theory," pp. 557-566 in Open Problems in Topology, Elsevier, 2007. [D-drive Preprint 317].


  50. J.M. Borwein and C. Hamilton, ``Symbolic Computation of Multidimensional Fenchel Conjugates," ISSAC 2006, 23-30, ACM, New York, 2006.

  51. Jonathan M. Borwein, ``Aesthetics for the Working Mathematician,'' pp. 21-40 in Mathematics and the aesthetic: Modern approaches to an ancient affinity, N. Sinclair and W. Higginson editors, CMS-Springer Books, 2006. [CECM Preprint 01:165].

  52. Jonathan M. Borwein and William M. Farmer Editors, Mathematical Knowledge Management, 5th International Conference, MKM 2006, Wockingham UK, Proceedings, Springer-Verlag, 2006.

  53. David H. Bailey and Jonathan M. Borwein, ``Effective Error Bounds for Euler-Maclaurin-Based Quadrature Schemes," 20th Annual HPCS Proceedings, 7 pages, IEEE CD, May 2006.


  54. D. H. Bailey and J.M. Borwein, ``Future Prospects for Computer-assisted Mathematics," Canadian Mathematical Society Notes, 37 (8) December 2005, 2-6.

  55. Jonathan M. Borwein, Mason Macklem and Jaehyun Paek, ``A Prototype for the Federated World Directory of Mathematicians," SIAM Conference on Computational Science and Engineering, Orlando, February 2005.


  56. J.M. Borwein and K. Karamanos, ``Algebraic dynamics of certain Gamma function values," pp. 3-21 in Generalized Convexity and Generalized Monotonicity, Nonconvex Optimization and its Applications, Vol. 77 Eberhard, Andrew; Hadjisavvas, Nicolas; Luc, Dinh The (Eds.) Springer, 2005, XI, 350 p., ISBN: 0-387-23638-4. Web posted November 2004.


  57. J.M. Borwein and T. Stanway, ``Managing Digital Mathematical Discourse," in Mathematical Knowledge Management (MKM) 2003, Bertinoro, Italy, February 16-18, 2003.

  58. Jonathan M. Borwein, ``The best teacher I ever had: personal reports from highly productive scholars'' Royal Society of Canada Volume, A. Michalos, ed., Althouse Press (2003). Springer-Verlag.

  59. Jonathan Borwein and Kwok-Kwong Stephen , ``Dirichlet series for sums of squares: a summary,'' Number Theory: CNTA 7 Proceedings, Kiselevsky and Goren, editors, CRM Proceedings and Lecture Notes, AMS, 2004.


  60. J.M. Borwein, ``Experimental Mathematics and Integer Relations," European Research Consortium for Informatics and Mathematics, ERCIM News 50, Section Special Theme ERCIMathematics, 30-31. July 2002.

  61. Jonathan M. Borwein and Xianfu Wang, ``Subdifferentiability of typical continuous functions,'' Proceedings of CMS Special Session on Nonlinear Analysis and Its Applications, S. Singh and B. Watson (Editors), in Nonlinear Analysis Forum, 6 (2001), 49-58.

  62. Heinz H. Bauschke and Jonathan M. Borwein, ``Joint and separate convexity of the Bregman distance," pp. 23-36 in Inherently parallel algorithms in feasibility and optimization and their applications, D. Butnariu, Y. Censor and S. Reich (Editors), in Studies in Computational Mathematics 8, Elsevier Science, Amsterdam, 2001.

  63. Jonathan M. Borwein, Adrian Lewis and Qiji Zhu, `` Convex spectral Functions of Compact Operators, Part II: Lower Semicontinuity and Rearrangement Invariance," pp. 179-196 in Optimization and Related Topics, A. Rubinov and B. Glover (Eds.), Kluwer Academic Publishers, 2001.


  64. D.H. Bailey and J.M. Borwein, ``Experimental Mathematics: Recent Developments and Future Outlook,''pp, 51-66 in Volume I of Mathematics Unlimited --$ 2\infty1$ and Beyond, B. Engquist and W. Schmid (Eds.), Springer-Verlag, 2000, ISBN 3-540-66913-2. [CECM Preprint 99:143].

  65. J. M. Borwein and T. Stanway, ``Numerical and computational mathematics (at the undergraduate level)," pp. 20-37 in Proceedings of the Conference on Technology in Mathematics Education at the Secondary and Tertiary Levels, June 2-4, 1999 at Brock University. Bruce Cload and Tom Jenkyns eds., Brock Univ. Press, 2000. (Also appeared in Cubo.)


  66. J. M. Borwein and T. Stanway, ``The impact of technology on the doing of mathematics,'' pp. 3-6 in Canadian Mathematics Education Study Group (CMESG) Proceedings 1999 Annual Meeting. John Grant McGloughlin ed., Memorial Univ. Press, 1999.

  67. Heinz H. Bauschke and Jonathan M. Borwein, ``Conical open mapping theorems and regularity,'' pp. 1-10, Proceedings of the Centre for Mathematics and its Applications (Australian National University) National Symposium on Functional Analysis, Optimization and Applications, March 1998, J. Giles and B. Ninness eds., volume 36, 1999.

  68. J. M. Borwein and Qiji Zhu, ``Multifunctional and functional analytic methods in nonsmooth analysis,'' pp. 61-157 in Nonlinear Analysis, Differential Equations and Control, F. H. Clarke and R. J. Stern (eds.) (NATO Advanced Study Institute, Montreal 1999), NATO Science Series C: volume 528, Kluwer Academic Press, 1999.


  69. Jonathan Borwein, ``Mathematical publishing on the web,'' Sigsam Bulletin: Communications in Computer Algebra, 32, March 1998, pp. 4-7.


  70. Jonathan Borwein and Richard Smith, ``Online journal publication: two views from the electronic trenches,'' Scholarly Communication in the Next Millennium, March 1997. edie.cprost.sfu.ca/~scom. Hard copy: Canadian Journal of Communication, 22 (1997), 135-152. Excerpted in extenso in Active Voice, the national bi-monthly newsletter of the Editors' Association of Canada.

  71. J.M. Borwein and W.B. Moors ``Essentially smooth Lipschitz functions: Compositions and Chain Rules,'' Foundations of Computational Mathematics, F. Cucker and M. Shub (Editors), 16-22, Springer-Verlag, 1997.

  72. J.M. Borwein and F. Garvan, ``Approximating Pi with the Dedekind eta function,'' Organic Mathematics Proceedings,
    http:// www.cecm.sfu.ca/organics, April 12, 1996, in: CMS/AMS Conference Proceedings, 20 (1997), ISSN: 0731-1036.

  73. J.M. Borwein, P. B. Borwein, R. M. Corless, L. Jörgenson, and N. Sinclair, ``What is organic mathematics?''Organic Mathematics Proceedings, www.cecm.sfu.ca/organics, April 12, 1996, in: CMS/AMS Conference Proceedings, 20 (1997), ISSN: 0731-1036.

  74. J.M. Borwein and W.B. Moors, ``Lipschitz functions with minimal Clarke subdifferential mappings,'' Proc. Optimization Miniconference III, B. M. Glover and D. Ralph eds, University of Melbourne, July 1996, University of Ballarat (1997). 5-12.

  75. H.H. Bauschke, J.M. Borwein and A.S. Lewis, ``Convex sets and the cyclic projection algorithm,'' pp. 1-38 in Recent Developments in Optimization Theory and Nonlinear Analysis, Yair Censor and Simeon Reich editors, Contemporary Mathematics, 204, Amer. Math. Soc., 1997.

  76. J.M. Borwein and E. Wong, ``A survey of results relating to Giuga's conjecture on primality,'' Advances in the Mathematical Sciences--CRM's 25 Years , (L. Vinet, ed.) CRM Proc. Lecture Notes, 11, Amer. Math. Soc., Providence, RI, (1997), 13-27.


  77. J.M. Borwein and D.M. Bradley, ``On searching symbolically for Apéry-like formulae for values of the Riemann zeta function,'' Sigsam Bulletin: Communications in Computer Algebra, 116, June 1996 . [CECM Research Report 96:076]


  78. J.M. Borwein and S. Fitzpatrick, ``Characterization of Clarke subgradients among one-dimensional multifunctions,'' pp. 61-73 in Proceedings of the Optimization Miniconference II, Univ Ballarat Press, 1995. .

  79. D.H. Bailey, J.M. Borwein and R. Girgensohn, ``Finding new identities with supercomputers,'' Extended abstract for SIAM Conference on Parallel Computing, San Francisco, Feb. 1995.

  80. J.M. Borwein, ``A survey of examples of convex functions and the classification of Banach spaces,'' pp. 260-271 in Recent Developments in Optimization: VII Colloque Franco-Allemand d'Optimisation, Lecture Notes in Economic and Mathematical Systems, R. Durier and C. Michelot eds, Springer-Verlag, 1995 .

  81. J.M. Borwein and K.R. Davidson, ``Mathematics in Canada. The Future of Mathematics in Canada 50 years later,'' pp. 231-248 (pp. 249-268 francais) in Canadian Mathematical Society 50th Anniversary Volume 1, CMS Publications, 1995 .


  82. J.M. Borwein and M.A. Limber, ``Underdetermined moment problems: a case for convex analysis,'' SIAG/OPT, no. 5, Fall 1994, 9-13. (Invited.)


  83. J.M. Borwein and A.S. Lewis, ``A survey of convergence results for maximum entropy,'' pp. 39-48 in ``Maximum entropy and Bayesian Methods,'' A. Mohammad-Djafari and G. Demoments (Eds.), Fund. Theories Phys., 53, Kluwer Acad. Publ., Dordrecht, 1993. . [Research Report CORR 92-32]


  84. J.M. Borwein and P.B. Borwein, ``Some observations on computer assisted analysis'', Notices Amer. Math. Soc. 39 (1992), 825-829 .

  85. J.M. Borwein and M.A. Limber, ``Maple as a high precision calculator,'' Maple News Letter, 8 (1992), 39-44.

  86. J.M. Borwein, ``A survey of differentiability properties of convex, Lipschitz and lsc functions,'' pp. 39-52 in Optimization and Nonlinear Analysis, Pitman Research Notes, A. Ioffe, M. Marcus and S. Reich editors (Longman, Essex, 1992). Proceedings of the Technion Special Semester on Nonlinear Analysis (Spring 1990), .

  87. J.M. Borwein and A. Ben Tal, M. Teboulle, ``Spectral estimation via convex programming,'' pp. 275-290 in Systems and Management Science by extremal methods: research honoring Abraham Charnes at age 70, J. Rousseau ed., Kluwer Academic Publishers, 1992 .


  88. J.M. Borwein, ``A survey of differentiability properties of convex, of Lipschitz and of lsc functions,'' Seminaire d'initiation á l'analyzed, Choquet et al, 30e Année 1990/91 11 pp., Publ. Math. Univ. Pierre et Marie Curie, 104, .

  89. J.M. Borwein and A.S. Lewis, ``Practical conditions for Fenchel duality in infinite dimensions,'' pages 83-90 in Fixed Point Theory and its Applications, J-B. Baillon and M. Thera eds, Pitman Lecture Notes in Mathematics (Longman, Essex, 1991)

  90. J.M. Borwein, ``Minimal cuscos and subgradients of Lipschitz functions,'' pages 57-82 in Fixed Point Theory and its Applications, J-B. Baillon and M. Thera eds, Pitman Lecture Notes in Mathematics (Longman, Essex, 1991)


  91. J.M. Borwein and P.B. Borwein, ``A remarkable cubic iteration,'' in Computational Methods and Function Theory, pp. 27-31 in Springer Lecture Notes in Mathematics, #1435, 1990.

  92. J.M. Borwein and P.B. Borwein, ``Approximating pi with Ramanujan's solvable modular equations,'' Proceedings of the 1986 Edmonton conference on Constructive Function Theory, Rocky Mountain J., 19 (1989), 93-102.

  93. J.M. Borwein and P.B. Borwein, ``More Ramanujan-type series for 1/$ \pi$ ,'' pp. 359-374 in Ramanujan Revisited [Proceedings of the 1987 Illinois Ramanujan Centenary Conference], Academic Press (1988) .

  94. J.M. Borwein and P.B. Borwein, ``Ramanujan's rational and algebraic series for 1/$ \pi$ ,'' J. Indian Math. Soc., (Ramanujan Centennial Issue) 51 (1988), 147-160 .

  95. J.M. Borwein and P.B. Borwein, ``Explicit Ramanujan-type approximations to pi of high order,'' Centennial Issue ofProceedings of the Indian Academy of Science, 97 (1987), 53-60 .

  96. J.M. Borwein, ``Cones, minimality notions and consequences,'' pp. 62-85 in: Recent Advances and Historic Development of Vector Optimization, Springer-Verlag, (1987) .

  97. J.M. Borwein, ``Alternative theorems for complementarity problems,'' in: Infinite Programming, Springer-Verlag, (1985).

  98. J.M. Borwein and P.B. Borwein, ``Explicit algebraic Nth order approximations to $ \pi$ ,'' pp. 247-256, in: Approximation Theory and Spline Functions, D. Reidel, (1984).

  99. J.M. Borwein, ``On the existence of eigenvalues for Hermitian matrices,'' APICS Proceedings, (1984), 1-5.

  100. J.M. Borwein, ``How special is semi-infinite programming?'' pp. 139-172, in: Semi-infinite Programming, Springer-Verlag, (1983).

  101. J.M. Borwein, ``Convex relations in optimization and analysis,'' pp. 335-377, in: Generalized Convexity in Optimization and Economics, Academic Press, (1981).

  102. J.M. Borwein and H. Wolkowicz, ``Cone convex programming, stability and affine constraints,'' pp. 379-392, in: Generalized Convexity in Optimization and Economics, Academic Press, (1981).

  103. J.M. Borwein, ``The minimum of a family of programs,'' Proceedings of the Third European Operations Research Symposium, Band 31 (1978), 99-111.

Published blogs et al

  1. D.H. Bailey and J.M. Borwein, ``Why Are So Many Mathematicians Also Musicians?" Huffington Post, www.huffingtonpost.com/jonathan-m-borwein/. May 3, 2016.

  2. J.M. Borwein, ``Pi Day 2016," http://www.rhodeshouse.ox.ac.uk/blog/pi-day-2016. April 8, 2016.

  3. D.H. Bailey and J.M. Borwein, ``Pi Day 2016," Huffington Post, www.huffingtonpost.com/jonathan-m-borwein/. March 14, 2016.

  4. J.M. Borwein, ``How pi became part of the most beautiful formula in mathematics." The Conversation, https://theconversation.edu.au/profiles/jon-borwein-101. March 14 , 2016.

  5. J.M. Borwein, ``Ramanujan - The man who knew infinity," Rhodes Scholar Blog, http://www.rhodeshouse.ox.ac.uk/blog/ramanujan-the-man-who-knew-infinity. February 23, 2016.


  6. D.H. Bailey and J.M. Borwein, ``Will computers replace humans in mathematics" The Conversation, https://theconversation.edu.au/profiles/jon-borwein-101. June 2, 2016.

  7. D.H. Bailey and J.M. Borwein, ``Data vs Theory: The Mathematical Battle for the Soul of Physics," Huffington Post, www.huffingtonpost.com/jonathan-m-borwein/. December 30, 2015.

  8. J.M. Borwein, ``The Man Who Knew Infinity: a mathematician's life comes to the movies." The Conversation, https://theconversation.edu.au/profiles/jon-borwein-101. November 18, 2015.

  9. D.H. Bailey and J.M. Borwein, ``Interview With Andrea Rossi, LENR Energy Pioneer," Huffington Post, www.huffingtonpost.com/jonathan-m-borwein/. October 7, 2015.

  10. D.H. Bailey and J.M. Borwein, ``Cold Fusion Heats Up: Fusion Energy and LENR Update," Huffington Post, www.huffingtonpost.com/jonathan-m-borwein/. August 27, 2015.

  11. D.H. Bailey and J.M. Borwein, ``Does Gun Control Encourage Crime? The Science of Crime Statistics," Huffington Post, www.huffingtonpost.com/jonathan-m-borwein/. August 3, 2015.

  12. D.H. Bailey and J.M. Borwein, ``Moore's Law is 50 years old but will it continue?" The Conversation, https://theconversation.edu.au/profiles/jon-borwein-101. July 20 , 2015.

  13. D.H. Bailey and J.M. Borwein, ``How Well Do Individuals Understand Social Security (And Its Overseas Counterparts)?" Huffington Post, www.huffingtonpost.com/jonathan-m-borwein/. June 25, 2015.

  14. J.M. Borwein ``The 'train wreck' continues: another social science retraction," The Conversation, https://theconversation.edu.au/profiles/jon-borwein-101. May 29, 2015.

  15. D.H. Bailey and J.M. Borwein, ``Lessons From the "Flash Crash" Regulatory Fiasco," Huffington Post, www.huffingtonpost.com/jonathan-m-borwein/. April 27, 2015.

  16. D.H. Bailey and J.M. Borwein, ``Desperately Seeking ET: Fermi's Paradox Turns 65 (Part II)," Huffington Post, www.huffingtonpost.com/jonathan-m-borwein/. April 17, 2015.

  17. J.M. Borwein, ``It's often the puzzles that baffle that go viral." The Conversation, https://theconversation.edu.au/profiles/jon-borwein-101. April 16, 2015.

  18. D.H. Bailey and J.M. Borwein, ``Where is ET? Fermi's Paradox Turns 65," Huffington Post, www.huffingtonpost.com/jonathan-m-borwein/. April 10, 2015.

  19. D.H. Bailey and J.M. Borwein, ``Prepared for Pi Day? This year it's a once in a century celebration." The Conversation, https://theconversation.edu.au/profiles/jon-borwein-101. March 13, 2015.


  20. D.H. Bailey and J.M. Borwein, ``How Have 2014 Market Prophets Fared?" Huffington Post, www.huffingtonpost.com/jonathan-m-borwein/. December 9, 2014.

  21. D.H. Bailey and J.M. Borwein, ``Low Energy Nuclear Reactions: Papers and Patents." Huffington Post, www.huffingtonpost.com/jonathan-m-borwein/. November 28, 2014.

  22. D.H. Bailey and J.M. Borwein, `` The significance of digits: just how reliable are reported numbers?" The Conversation, https://theconversation.edu.au/profiles/jon-borwein-101. November 27, 2014.

  23. D.H. Bailey and J.M. Borwein, ``Dubious Digits: Is This Data Really That Accurate?" Huffington Post, www.huffingtonpost.com/jonathan-m-borwein/. November 10, 2014.

  24. J.M. Borwein and M. Rose, ``How betting works and why the Melbourne Cup skews the odds." The Conversation, https://theconversation.edu.au/profiles/jon-borwein-101. October 30, 2014.

  25. D.H. Bailey and J.M. Borwein, ``Fusion Energy: Hope or Hype?" Huffington Post, www.huffingtonpost.com/jonathan-m-borwein/. October 23, 2014.

  26. J.M. Borwein and M. Rose, ``Explainer: clearing up confusion between correlation and causation." The Conversation, https://theconversation.edu.au/profiles/jon-borwein-101. Sept 23, 2014.

  27. D.H. Bailey and J.M. Borwein, ``To frack or not to frack: That is the question." Huffington Post, www.huffingtonpost.com/jonathan-m-borwein/. Sept 9, 2014.

  28. J.M. Borwein, ``Meet the winners of the Fields medal: the `Nobel prize of maths' . " The Conversation, https://theconversation.edu.au/profiles/jon-borwein-101, August 13, 2014.

  29. D.H. Bailey and J.M. Borwein, ``How Financially Literate Is the Investing Public?." Huffington Post, www.huffingtonpost.com/jonathan-m-borwein/. July 29, 2014.

  30. D.H. Bailey and J.M. Borwein, ``Can Pi be Patented." Huffington Post, www.huffingtonpost.com/jonathan-m-borwein/. June 20, 2014.

  31. J.M. Borwein. ``Budget 2014: there's more to science than medical research." The Conversation, https://theconversation.edu.au/profiles/jon-borwein-101. May 13, 2014.

  32. D.H. Bailey and J.M. Borwein. ``When science and philosophy collide in a 'fine-tuned' universe. The Conversation, https://theconversation.edu.au/profiles/jon-borwein-101. April 3, 2014.

  33. D.H. Bailey and J.M. Borwein, ``Pi day 3.14 (14)." Huffington Post, www.huffingtonpost.com/jonathan-m-borwein/. March 15, 2014.

  34. D.H. Bailey and J.M. Borwein, ``We can't get enough pi ... but why?" The Conversation, https://theconversation.edu.au/profiles/jon-borwein-101. March 14, 2014.

  35. D.H. Bailey and J.M. Borwein, ``Why mathematics is beautiful and why that matters." Huffington Post, www.huffingtonpost.com/jonathan-m-borwein/February 18, 2014.


  36. J.M. Borwein and Michael Rose. ``Tipsy tottering, sunlight and the smell of coffee: it’s all random." https://theconversation.edu.au/profiles/jon-borwein-101. December 19, 2013 .

  37. J.M. Borwein, ``Don't let politics drive research goals." https://theconversation.edu.au/profiles/jon-borwein-101. Newcastle Herald, page 11 November 26, 2013. Available at http://www.theherald.com.au/story/1931600/opinion-dont-let-politics-drive-research-goals/?cs=308.

  38. J.M. Borwein, ``Australia needs fundamental research to build a great country." https://theconversation.edu.au/profiles/jon-borwein-101, November 11, 2013.

  39. D.H. Bailey and J.M. Borwein, ``When Skepticism Becomes Denial: The Unholy Alliance Between Science Denial Movements." Huffington Post, www.huffingtonpost.com/jonathan-m-borwein/. November 5, 2013.

  40. D.H. Bailey and J.M. Borwein, ``Please mess with Texas: Texas textbook fiasco threatens US science." Huffington Post, www.huffingtonpost.com/jonathan-m-borwein/. September 18, 2013.

  41. D.H. Bailey and J.M. Borwein, ``Glum and glummer: Australia vs US on science literacy results." https://theconversation.edu.au/profiles/jon-borwein-101. July 19, 2013.

  42. D.H. Bailey and J.M. Borwein, ``You wait forever for number theory results ... then two come along at once." https://theconversation.edu.au/profiles/jon-borwein-101. June 3, 2013.

  43. D.H. Bailey and J.M. Borwein, ``Hype Now, Hide Later: No Way to Do Scientific Research." Huffington Post, www.huffingtonpost.com/jonathan-m-borwein/. May 28, 2013.

  44. D.H. Bailey and J.M. Borwein, ``Stupid science funding decisions? Australia's not the only dunce." https://theconversation.edu.au/profiles/jon-borwein-101. May 13, 2013.

  45. D.H. Bailey and J.M. Borwein, ``The Colorful Life of the Four-color Theorem: A Tribute to Kenneth Appel." Huffington Post, www.huffingtonpost.com/jonathan-m-borwein/. May 8, 2013 .

  46. D.H. Bailey and J.M. Borwein, ``Scientific fraud, sloppy science – yes, they happen." The Conversation, https://theconversation.edu.au/profiles/jon-borwein-101. May 6, 2013.

  47. D.H. Bailey and J.M. Borwein, ``The Reinhart-Rogoff error – or how not to Excel at economics." The Conversation, https://theconversation.edu.au/profiles/jon-borwein-101. April 23, 2013.

  48. D.H. Bailey and J.M. Borwein, ``Why E.O. Wilson is wrong." Huffington Post, www.huffingtonpost.com/jonathan-m-borwein/. April 17, 2013.

  49. D.H. Bailey and J.M. Borwein, ``Are the digits of Pi normal?" Huffington Post, www.huffingtonpost.com/jonathan-m-borwein/. April 16, 2013.

  50. D.H. Bailey and J.M. Borwein, ``A Higgs, the Higgs ... is maths at the root of reality?" The Conversation, https://theconversation.edu.au/profiles/jon-borwein-101. March 21, 2013 .

  51. D.H. Bailey and J.M. Borwein, ``Smart Meters, Dumb Science." The Conversation, https://theconversation.edu.au/profiles/jon-borwein-101. February 28, 2013 .

  52. D.H. Bailey and J.M. Borwein, ``Danger, you're at serious risk of ... no, sorry, it's all relative." The Conversation, https://theconversation.edu.au/profiles/jon-borwein-101. February 15, 2013 .

  53. D.H. Bailey and J.M. Borwein, ``Set the default to “open”: Reproducible science in the computer age." Huffington Post, www.huffingtonpost.com/jonathan-m-borwein/. February 7, 2013.


  54. D.H. Bailey and J.M. Borwein, ``Is Believing in Climate Change "An Insult to God"? Huffington Post, www.huffingtonpost.com/jonathan-m-borwein/. December 7, 2012.

  55. David Bailey and Jonathan Borwein, ``Just out of Curiosity, did life on Earth come from Mars?" The Conversation, https://theconversation.edu.au/profiles/jon-borwein-101. December 4, 2012.

  56. D.H. Bailey and J.M. Borwein, ``What on earth were they thinking? U.S. politicians on the age of the planet." Huffington Post, www.huffingtonpost.com/jonathan-m-borwein/. November 20, 2012.

  57. Jonathan Borwein and Michael Rose, ``Explainer: what is Chaos Theory." The Conversation, https://theconversation.edu.au/profiles/jon-borwein-101. Nov 19, 2012 .

  58. David Bailey and Jonathan Borwein, ``Newly calculated: maths anxiety triggers pain in the brain." The Conversation, https://theconversation.edu.au/profiles/jon-borwein-101. Nov 2, 2012.

  59. David Bailey and Jonathan Borwein, ``How to stop the media reporting science fiction as fact." The Conversation, https://theconversation.edu.au/profiles/jon-borwein-101. Oct 23, 2012.

  60. David Bailey and Jonathan Borwein, ``Smart meters are about as dangerous as ... ." The Conversation, https://theconversation.edu.au/profiles/jon-borwein-101. Sept 25, 2012.

  61. D.H. Bailey and J.M. Borwein, ``Numerical nonsense in the U.S. presidential campaign." Huffington Post, www.huffingtonpost.com/jonathan-m-borwein/. August 18, 2012 .

  62. D.H. Bailey and J.M. Borwein, ``Algebra is essential in a 21st century economy" Huffington Post, www.huffingtonpost.com/jonathan-m-borwein/. August 1, 2012 .

  63. David Bailey and Jonathan Borwein, ``School maths is failing children -– a US and Australian perspective." The Conversation, https://theconversation.edu.au/profiles/jon-borwein-101. July 25, 2012 .

  64. David Bailey and Jonathan Borwein, ``Bad numbers make for killer headlines - and dodgy news." The Conversation, https://theconversation.edu.au/profiles/jon-borwein-101. June 26, 2012 .

  65. David Bailey and Jonathan Borwein, ``How to sell green energy in an era of abundant gas and oil." The Conversation, https://theconversation.edu.au/profiles/jon-borwein-101. June 15, 2012 .

  66. D.H. Bailey and J.M. Borwein, ``Is modern science `forever tentative' and `socially constructed?' No Way!" Huffington Post, www.huffingtonpost.com/jonathan-m-borwein/, June 7th, 2012 .

  67. David A. Bailey and Jonathan M. Borwein, ``2011: A Apace Odyssey: Art versus 2012 reality." Huffington Post, www.huffingtonpost.com/jonathan-m-borwein/, May 9, 2012.

  68. David Bailey and Jonathan Borwein, ``Person or computer: could you pass the Turing Test?" The Conversation, http://theconversation.edu.au. May 3, 2012 .

  69. David A. Bailey and Jonathan M. Borwein, ``Are computers playing games with us?" Huffington Post, April 2, 2012 .

  70. David Bailey and Jonathan Borwein, ``How old is Earth? A word to sceptics on the dating game." The Conversation, http://theconversation.edu.au. March 22, 2012 .

  71. Jonathan M. Borwein, ``Pi Day in America." Huffington Post, March 15, 2012 .

  72. David Bailey and Jonathan Borwein, ``Doctor, doctor: why so few scientists in politics?." The Conversation, http://theconversation.edu.au. February 29, 2012 .

  73. David Bailey and Jonathan Borwein, ``"Hot and bothered: the uncertain mathematics of global warming." The Conversation, http://theconversation.edu.au. February 17, 2012 .

  74. David Bailey and Jonathan Borwein, ``Make mine a double: Moore's law and the future of mathematics." The Conversation, http://theconversation.edu.au. January 28, 2012.

  75. J.M. Borwein, ``Chiropractic: crackers now, and crackers way back when." The Conversation, http://theconversation.edu.au. December 23, 2011.

  76. David Bailey and Jonathan Borwein, ``Danger of death: are we programmed to miscalculate risk?" The Conversation, http://theconversation.edu.au. December 8, 2011.

  77. David Bailey and Jonathan Borwein, ``When things don't add up: statistics, maths and scientific fraud." The Conversation, http://theconversation.edu.au. As part of series on The State Of Science November 14, 2011.

  78. David Bailey and Jonathan Borwein, ``How far away is everybody? Climbing the cosmic ladder." The Conversation, http://theconversation.edu.au, October 24, 2011 .

  79. David Bailey and Jonathan Borwein, ``Where is everybody? Doing the maths on extraterrestrial life." The Conversation, http://theconversation.edu.au, September 15, 2011 .

  80. David Bailey and Jonathan Borwein, ``Magic numbers: counting the blessings of decimal notation." The The Conversation, http://theconversation.edu.au, August 23, 2011 .

  81. Jonathan Borwein, ``If I had a blank cheque I'd turn IBM Watson into a maths genius." The The Conversation, http://theconversation.edu.au, July 8, 2011.

  82. J.M. Borwein, ``Why are mathematics papers so dull?" Letter in SIAM News, p. 7, July/August 2011.

  83. J.M. Borwein, ``Are Pi's Days Numbered?" The Conversation, http://theconversation.edu.au, May 6, 2011.

  84. Jonathan M. Borwein, ``The infinite appeal of Pi." ABC Science March 10, 2011, http://www.abc.net.au/science/articles/2011/03/10/3158045.htm.


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