Books, Papers and Presentations

New Series

My Recent Books and Monographs ('*' indicates I was a contributor)

(2015) Tools and Mathematics (Springer, Maths Education)
(2015) * The Human Face of Computing.
Interviews with famous computer scientists. (Imperial College)
(2015) * Mathematics, Substance and Surmise.
Views on the meaning and ontology of mathematics. (Springer)
(2015) * The Future of Mathematics 1965--2065.
Pp. 313--329 in A Century of Advancing Mathematics (MAA)
(2015) * Who We Are? Ch. 12 in I, Mathematician (MAA)
(2014) Neverending Fractions (AustMS-CUP)
(2013) Computational and Analytical Mathematics
In Honour of JMB's 60th (Springer)
(2013) Lattice Sums Then and Now (CUP, Flier)
(2013) Number Theory and Related Fields:
in Memory of Alf van der Poorten (Springer, May, Flier)
(2012) Writings on Exploratory Experimentation (PsiPress)
(2011) Modern Mathematical Computation with Maple (Springer)
(2012) Mathematica version
CARMA Web page also Preface of book and Amazon
(2011) Selected Writings on Computational Mathematics (PsiPress)
(2010) Convex Functions (Cambridge University Press, Flier)
(2008) The Computer as Crucible (Amazon and Flier)
(2010) Experimentelle Mathematik
(2009) Japanese edition
(2008) Communicating Math in the Digital Era (My chapter and Amazon)
(2008)* Proof & Other Dilemmas, MAA (My chapter and Amazon).
(2007) Experimental Mathematics in Action (AK Peters) (Amazon).
(2006)* Math and the Aesthetic (my chapter), Contents (Amazon).
(2005) Convex Analysis and Nonlinear Optimization (2nd Ed, Amazon).
(2010) Paperback
(2005) Techniques of Variational Analysis (Springer-Verlag, Amazon)
(2010) Paperback
(2004) Pi: A Sourcebook (Amazon) (3ed cover) Selecta and My Pi Files.
(2004) Experimental Math Books (MR1,MR2): Our Website, an Extended Selection and: Vol I and Vol II from Amazon.
(2008) Math by Experiment (Expanded Edition) (Amazon).
(2006) Combined Active CD version (Amazon)
(2002) Dictionary of Mathematics (UK Second Edition (2002)).
(2006) North American Smithsonian Edition
(2006) MathResource interactive download version with Maple.
My Other Books and Monographs (linked PDF).

Current Lectures and Presentations

2014 and 2015

17. Convex analysis on groups and semigroups (Sept 2015)
16. Brailey and me (and you) (August 2015)
15. A short walk can be beautiful (March -- Sept 2015)
14. Five lectures on reflection methods (March 2015)
13. I Prefer Pi a talk for Big Pi Day (March 2015)
12. Monotone inclusions and Fitzpatrick functions (Feb 2015)
11. Visual Theorems (and walking on numbers) (Nov 2014)
10. Short walks in many dimensions (Nov 2014 - June 2015)
9. Character polylogarithms and MTW sums (October 2014)
8. Monotonicity of Riemann sums (July 2014)
7. A complicated proof of the minimax theorem (June 2014)
6. CARMA and Me (May 2014)
5. Experimental computation and visual theorems
Extended Abstract (May 2014)
4. Maitland Digital City and Pi lecture (April 2014)
3. Pi and its Day, and smaller PDF (Mar 2014)
2. Walking on Numbers (March 14), and smaller PDF
1. Entropy Methods for Inverse Problems (Dec 13)

2012 and 2013

27. Seven Lectures on Variational Analysis (Nov 13)
26. Douglas-Rachford for Matrix Completion Problems (Oct 13-Nov 14)
25. Walking on Numbers AustMS version (Short version, Sept 13)
24. Modelling and simulating seasonal rainfall (July 2013)
23. Set the default to reproducible (PPT) and PDF (July 2013)
22. Symmetric Variational analysis (Smaller PDF) (July 2013)
21. Three sets of Lectures for Thailand and Abstracts (April 2013)
20. Cyclic Douglas-Rachford iterations (M. Tam, April-May 2013)
19. A Planet Earth Talk for Pi Day, and smaller PDF (Mar 2013)
18. Best Approximation in Banach space (Mar 2013)
17. Walking on Numbers , smaller PDF and Animations (Dec 12-June 13)
16. Exploratory Experimentation in Maths (Dec 12-May 13)
15. CARMA and Me (Oct 12)
14. MTW sums and log Gamma integrals (Sept 2012) and paper
13. Interdisciplinarity, Innovation, Collaboration, Creativity (Aug 12)
11. CARMA Annual Retreat (Aug 12)
10. Communicating with the Public and Media (Aug 12)
9. Expectations on fractal sets (July 12)
8. Linear Mean Iterations (June 12)
7. Entropy & Projection Methods for Inverse Problems (May 12)
6. Theory and computation of MTW sums (April 2012) and paper
5. Structure of maximal monotone operators (April 2012) and paper
4. Pathological monotone operators (Mar 2012) and paper
3. Measures, walks and integrals (May 11- Mar 2012) and paper
2. A talk for Pi Day in the USA and Canada (Feb 2012).
1. Recent results of 50 years of maximal monotonicity (Jan-Sept 2012).

2010 and 2011

19. Meetings with Special Functions (Oct 2011- Nov 2012)
18. Teaching and Learning with Technology (Sept 2011)
17. A sinc that sank (Sept 2011)
16. Entropy and Projection Methods (June 2011) and paper
15. CARMA and Me (May-July 2011)
14. Measures, walks and integrals (May-Sept 2011)and paper
13. A Talk for Pi Day (Mar 2011)
12. On difference-convex functions (Jan 2011) [1975 paper]
11. Densities of Short Walks (JMM) (Jan 2011)
10. Ramanujan's AGM Continued Fraction (Oct 2010)
9. Closed Forms: What and Why (Sept 10-Aug 11) (paper)
8. Ramanujan's Alternative Elliptic Integrals (August 2010)
7. Densities of Random Walks (July 2010)
6. Arithmetic of Random Walks (April-Sept 2010)
5. Thirty Two Goldbach Variations (and MZVs) (Mar-Oct 2010)
4. Entropy & Projection Methods for Inverse Problems (Mar 10-May 12)
3. The Life of Pi (Associated chapter) (Mar10 - Jan11)
2. Exploratory Exper & Comp (PDF, JMM PDF) (Paper) (Mar 10 - Jan 11)
1. Non-convex Douglas-Rachford iterations (PDF) (Jan 10 - Oct 11)

2007-2009

22. Why Convex? (Dec 2009)
21. PSLQ and applications (Nov 2009)
20. Compressed sensing (Nov 2009 -Jan 2011)
19. Innovation and Creativity (Nov 2009)
18. Alex Rubinov Memorial Lecture (Nov 2009)
17. Fifty years of maximal monotonicity (Sept 2009)
16. Inverse Symbolic Computation (Sept 2009)
15. Exploratory Experimentation and Computation (PDF) (Sept 2009) and Associated Paper
14. Integer Relation Methods an introduction (July 2009)
13. International Maths in the 21st Century (PDF) (June 2009)
12. Digitally-assisted Discovery & Proof ICMI 19 (PDF) (May 2009)
11. Remote Collaboration (PPT) (April 2009)
10. The past 60 years in Mathematics (Dec 2008)
9. Future Challenges for Variational Analysis (Nov 2008 -Dec 2009)
8. Digitally-assisted Discovery & Proof PartI, PartII (Sept-Nov 2008)
7. Entropy & Proj. Methods for Inverse Probs.(Sept 08-Mar 09)
6. Convex Functions: Constructions, Characterizations and Counterexamples (PDF) (Sept 2008)
5. My Experiences with Math Software (September 2008)
4. What's New: ICE-ME (PPT 27Mb) (August 2008)
3. Peter Borwein Revisited (PPT 50Mb) (May 2008)
2. Experimental Mathematics: an Introduction (PPT) (Sept 2007)
1. Computing Bessel Functions via Arc-exp Methods (July-Dec 2007)

2006-2007

9. Interdisciplinarity: What Works, What Doesn't (June 2007)
8. Calculating Bessel Functions (May 2007)
7. Finding Funding in the Sciences (PDF) (March 2007)
6. Some Convexity Results (PDF) (March 07-Dec 08)
5. What's New, What's Possible, What's Coming?(PDF) (Feb-Dec 2007)
4. Effective Laguerre Asymptotics (Feb 2007)
3. The C2C Seminar and Remote Collaboration (Feb 2007)
2. Computer-assisted Discovery & Proof of Gen. Functions (Dec 06-07)
1. High Performance Mathematics and its Management. (Nov 06)

2005-2006

10. Advanced Collaborative Environments (Powerpoint) (May 06)
9. Computer Assisted Mathematics (May 06)
8. Effective Bounds for Quadrature (In ppt) (April 06)
7. Four Lectures on Variational Principles (Feb-April 06)
6. Computer-assisted discovery and proof of g.f's (Jan 06)
5. 32 Goldbach Variations on Zeta(2,1) (November 05)
4. Visualisation and Other Math Learning Tools (Sept 05)
3. The Life of Pi: from Archimedes to ENIAC and Beyond (August 2005-March 2010) (Associated book chapter)
2. Hilbert's Inequality and Witten's Zeta (August 05)
1. Maximal Monotonicity via Convexity (August 05-April 06)
2004-2005
11. What is HPM? (ORION, June 05) and Full version (PDF, June 05)
10. Media Light Paths (at Dalhousie) (June 05)
9. High Performance Mathematics (HPCS05, May 05)
8. Lists and Challenges in computational mathematics (April 05)
7. ACCESS to the WDML: MSRI presentation (April 05)
6. East meets West: IRMACS opening presentation (power point)
5. 2005 Clifford Lecture 1, Lecture 2, Lecture 3, Lecture 4 on Experimental Mathematics (March 05)
Combined version (Sept 05, PDF)
4. Math Circles Talk on Experimental Mathematics (March 05)
3. Phil Implications of Experimental Math (March 05)
2. Maximum Entropy Methods for Inverse Problems (Oct 04-06)
1. Slices, Bumps, and Cusps: Underpinnings of Nonsmooth Analysis
Extended version (August 04)

2003-2004

7. Advanced Collaborative and Visualization Environments European Congress Version (May 04)
6. Ramanujan's AGM Continued Fractions and Dynamics
Dynamics and Generalizations (Mar-Aug 04)
5. On Maximizing Surprise (March 04-October 05)
4. Math by Experiment Plausible Reasoning in the 21st Century
Full version (October 04) and Science News
3. Asplund Decompositions of Monotone Operators (April 04)
2. A One Function Variational Principle and Applications (May 04)
1993-2003
Past Lectures (1993-2003 in PDF)

2012-2015 Preprints

Generalisations and Examples in Analysis and Optimisation (Nov 2015)
Discovery of large minimal polynomials (Oct 2015)
Convergence rate analysis and Holder regularity (Oct 2015)
Expectations of iterated function systems (Sept 2015)
Locally convex topological groups (August 2015)
Convexity in groups and semigroups (July 2015)
Nonconvex Douglas-Rachford methods (June 2015)
A Backtest Overfitting Tool (April 2015)
A short walk can be beautiful (March 2015)
On Short walks in higher dimensions (Feb 2015)
Monotonicity of Symmetric Riemann Sums (Jan 2015)
Modelling of seasonal rainfall with copulas (May 2014)

Papers below red line are published, in press, or reports (see CV) while papers immediately above are in revision.
Density of uniform random walks in odd dimensions (May 2015)
Nearest points and DC functions (May 2015)
A variational approach to Lagrange multipliers (May 2015)
Monotone inclusions and Fitzpatrick functions (April 2015)
On High Precision Arithmetic and Math Physics (April 2015)
The probability of backtest overfitting (March 2015)
I prefer Pi an anthology (February 2015)
Crandall's Lerch computation and applications (Jan 2015)
Experimental Maths in Society of the Future (Jan 2015)
Reflection methods for Protein conformation (August 2014)
Facilitating Reproducibility in Scientific Computing (July 2014)
Report on Challenges for Experimental Maths (Report, Aug 2014)
The Trademarking of Pi (June 2014)
Homo Habilis Mathematicus (Book Chapter, May 2014)
Experimental Computation and Visual Theorems (May 2014)
A very complicated proof of the Minimax Theorem (April 2014)
Computation as Ontological Game Changer (April 2014)
Origins of Mathematical Words Book Review (April 2014)
On High Precision Arithmetic (Report, February 2014)
Character polylogarithms and applications (February 2014)
Mordell-Tornheim-Witten sums II (Jan-July 2014)
Norm convergence of Realistic Feasibility Probs (Dec 13 - May 14)
Reflection methods for Infeasible Feasibility Problems (Oct 2013)
Alternating projections on semialgebraic convex sets (April 2013)
Copulas for modelling seasonal rainfall (Aug 12 - Dec 13)
The Legacy of Kurt Mahler (November 2013)
Financial Charlatanism (Sept 2013 -- Feb 2014)
Lattice sums and Wigner limits (July 2013)
Douglas-Rachford Methods for Comb Probs (May -- Sept 2013)
Reflection Methods for Matrix Completion (August 2013)
Auto-simplifying symbolic expressions (Code) (Sep 12-Jul 13)
Interview with Cris Calude (July 2013)
Modelling and simulation of seasonal rainfall (June 2013)
Sum theorems for (FPV) monotone operators (May 2013)
Pi Day and the Normality of Pi (May 2013)
Publishing Standards for Computational Science (May 2013)
Legendre and convex integral functions (April 2013)
New Sinc Results Derived From Old (March 2013)
Set the default to 'open' (March 2013)
The Future of Mathematics (April 2013)
A cyclic Douglas-Rachford method (March 2013)
Giuga's conjecture on primality (Feb 2013)
Report on Reliability and Reproducibility (Feb 2013)
Applications of Convex Analysis within Maths (Feb 2013)
Relations for Nielsen polylogarithms (Jan 2013)
Variational methods in the presence of symmetry (Dec 12)
Compressed Lattice Sums originating with Poisson (Dec 12)
Maximality of the sum when one operator is linear (Dec 12)
Conditions for zero duality gap (Dec 12)
Lattice Sums originating with Poisson equation (Nov 12)
Recent progress on monotone operator theory (Oct 12)
Mordell-Tornheim-Witten sums (April-July 2012)
Expectations on fractal sets (Aug 2012)
Experimental applied mathematics (July 2012)
Walking on real numbers (July 2012)
Three approaches to Linear mean iterations (May 2012)
Near convexity of monotone operator domains(May 2012)
Ramanujan and Pi (for his 125th birthday) (April 2012)
Structure of max monotone operators (March 2012)
Convergence of a nonconvex Douglas-Rachford alg. (Mar 2012)
On the Eulerian log gamma integrals (February 2012)
On the Normality of Pi and Extended version (February 2012)
Abnormality of Stoneham Numbers (January 2012)
Proof of some Conjectured formulas for Pi (January 2012)

2007-2011 Preprints

: Brezis-Browder in general Banach space (Oct-Dec 2011)

: Nonenlargeable monotone operators (October 2011)

: Loving and Hating Math: Extended Review (Sept 2011)

: Walks, Mahler Measures and Logsin Integrals (Sept 2011)

: Normal numbers and number generators (Sept 2011)

: Copulas and Rain, Rain, Rain (Sept 2011)

: Remote Collaboration: 6 Years of the C2C Series (Aug 2011)

: Max monotones & bigger conjugate functions (Aug 2011)

: Entropy & Feasibility Methods for Inverse Probs (Aug 2011)

: A sinc that sank (July-Sept 2011)

: Monotone Operators of Type D (July 2011)

: Organic Mathematics: then and now (July 2011)

: Ancient Indian Square Roots (May-Sept 2011)

: FP implies D for maximal monotones (April 2011)

: Monotone Adjoint Relations (April 2011)

: Log-sine evaluations of Mahler measures: II (March 2011)

: Computing inaccessible digits of Pi² and G (March 2011)

: Special values of log-sine integrals (Jan 2011)

: Bregman firmly nonexpansive mappings (Dec 2010)

: Log-sine evaluations of Mahler measures: I (Nov 2010)

: Densities of short random walks (Oct 2010 - July 2011)

: Combat with 1000 digit integrals (Oct 2010)

: Implicit Functions and Solution Mappings: A Review (Oct 2010)

: Moments of generalized elliptic integrals (Aug 2010)

: Maximum entropy copulas (July 2010)

: Three and Fourstep Random Walks (May-Oct 2010)

: Closed Forms: What They Are (April-Aug 2010)

: Entropic Regularization of the 0-norm (April 2010)

: Exploratory Experimentation and Computation (Feb-Aug 2010)

: Stability of linear images of cones (II) (Feb 2010)

: Positional notation(Feb-April 2010)

: The Life of Pi (Feb 10 - Oct 11)

: Higher-dimensional box integrals (Jan 2010)

: Nonconvex Douglas-Rachford algorithms (Nov 2009)

: 50 years of maximal monotonicity (Nov 09-Jan 10)

: Who we are? (November 2009)

: Difference convex functions (Oct 09-Jan 10)

: Uniformly convex functions (October 2009)

: Random walk integrals (Oct 2009-May 2011)

: Duality and convex programming (Oct 2009 - April 10)

: Exp Math, Dynamics & Math Phys (Sept 09 - Dec 2010)

: Exp Math and Math Physics (Sept 2009)

#399: Prox-regular Functions in Hilbert space (July 2009)

#398: Fréchet-Legendre Functions (July 2009)

#396: Challenges for Variational Analysis (May 2009)

#395: Exploratory Experimentation and Computation (Sept 2009)

#394. Digitally Assisted Mathematics (May 2009)

#393: Exploratory Experimentation (ICMI19) (May09-Sept10)

#392: Princeton Comp. to Math ( SIAM Feature Rev (May 09)

#391: Computation with Oscillatory Integrals (May 2009)

#389: More Box Integrals (March-Dec 2009)

#388: p-norms and the sinc function (March 2009)

#387: Digitally-assisted discovery (ICMI 19) (February 2009)

#386: High precision computation in physics (Nov 2008)

#385: A function with subdifferential the ball (July-Oct 2008)

#38x: Banach spaces of type (NI) (June 2008) (Withdrawn)

#384: Stability of linear images of cones (April-Sept 2008)

#383: Differentiability of conjugate functions April 2008)

#382: High precision numerical integration (Feb 08- July 09)

#381: Duality in tails of multiple zeta values (Jan 2008)

#380: Elliptic forms for Bessel moments (Jan 2008)

#348: 2nd order cones via representative functions. (-Nov 2007)

#372: Euler and Boole Summation Revisited (July-Dec 2007)

#371: Exp-arc Evals of Bessel Functions (July-Sept 2007)

#346: A Recursion for Bessel Moments (June-August 2007)

#345: Resolving a Nonlinear Physics Constant (June 2007)

#340: Uniformly Convex Functions (March 2007)

#339: Retro-enhancement of Recent Math (March 2007)

#338: Computer Assisted Discovery and Proof (Feb-Nov 2007)

#335: Uniform Bounds for Incomplete Gamma (Feb 2007)

#334: Effective Laguerre Asymptotics (Jan 07--May 2008)

#332: Some Sinc Sums (Jan-July 2007)

2006 Preprints

#331: The C2C Seminar Galleys (Dec 06-July 08)
#326: Hypergeometric forms for Ising-class integrals (July 2006)
#324: Integrals of the Ising class (June 2006)
#323: Proximality and Chebyshev sets (May 2006)
#322: A sum rule in Banach space (May 2006)
#321: Decompositions of monotone operators (April-July 2006)
#320: Box Integrals (April-June 2006)
#319: Fitzpatrick Functions of Linear Operators (March 2006)
#317: Some Open Problems in Topology (January 2006)
#315: Quad Convergence of `Tanh-sinh' Quadrature (Jan 2006)

2005 Preprints

#309: Hilbert's inequality and Witten's zeta function (Dec 2005-June 2007)
#308: Fitzpatrick functions, cyclic monotonicity ... (Dec 2005)
#307: Symbolic Convex Analysis (Nov 2005)
#305: Prospects for Computationally-assisted Math (Oct 2005)
#301: 32 Goldbach Variations on Zeta(2,1) (Aug 2005)
#300: Oxford Users' Guide to Math: SIAM Feature Rev (Aug 05)
#302: Maximal Subgradients are Staunch (August 2005)
#281: Maximal Monotonicity via Convex Analysis (August 2005)
#280: Implications of Experimental Math for Math Phil. (June 05)
#297: Effective bounds for Euler-Maclaurin Quadrature (June 05)
#295: Experimentally found Identities for Zeta(2n+2) (May 2005)
#294: Parallel Numerical Quadrature (April 2005)
#287: Integer Powers of Arcsin (April 2005 - Feb 2007)
#288: Boundedness, Differentiability & Extensions (March 2005)
#285: 100 Digits Challenge: an Extended Review (March 2005)
#284: Federated World Directory of Mathematicians (Feb 2005)
#275: Van der Pol Expansions of L-Series (Jan 2005)
#282: Maximality of Sums of Monotone Operators (April 2005)
#279: Two Fundamental Identities for Euler Sums (Jan 05)
#269: Experimental Math: Examples, Methods & Directions (Oct 04-Jan 05)

2004 Preprints

Earlier Preprints

Really old:

Boole Summation (1991)
Convex Relations (1981)
Optimization with respect to partial orderings (DPhil, Oxon, 1974)
Monotone operators and nonlinear functional analysis (MSc, Oxon, 1972)