Books, Papers and Presentations
New Series
My Recent Books and Monographs ('*' indicates I was only a contributor)
(2009)
Convex Functions
(Cambridge University Press,
Flier
)
(2008)
The Computer as Crucible
(
Amazon
and
Flier
)
(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
).
(2005)
Techniques of Variational Analysis
(Springer-Verlag,
Amazon
)
(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
2007-2009
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-Dec 2008)
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 2008)
(
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 Lectures
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
(Jan 04)
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)
2007-2009 Preprints
#396
:
Challenges for Variational Analysis
(May 2009)
#395
:
Exploratory Experimentation and Computation
(May 2009)
#394.
Digitally Assisted Mathematics
(May 2009)
#393
:
Exploratory Experimentation
(ICMI 19 Plenary) (May 2009)
#392
:
Princeton Companion to Math
(SIAM Review) (May 2009)
#391
:
Computation with Oscillatory Integrals
(May 2009)
#389
:
More Box Integrals
(March 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)
#384
:
Stability of linear images of cones
(April-Sept 2008)
#383
:
Differentiability of conjugate functions
April 2008)
#382
:
High precision numerical integration
(Feb-Oct 2008)
#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 Coast-to-Coast 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)
Optimization with respect to partial orderings
(DPhil, Oxon, 1974)
Last revised: 06/01/06:
TIME
That's Math
(song and
text
)