Donald Knuth's influence in computer science
ranges from the
mathematical analysis of algorithms to the
creation of the TeX
and METAFONT systems for desktop publishing.
His award-winning
textbooks have become classics that are often
credited for
shaping the field; his scientific papers
are widely referenced
and stand as milestones of development over
a wide range of
topics. The present volume, which is the
fifth in a series of his
collected works, deals with the languages
that millions of
programmers use daily to communicate with
computers.
Two dozen of Knuth's classic papers on the
subject are collected
in this volume, brought up to date with supplementary
material,
and augmented by a previously unpublished
essay on language
design. Of particular interest are his fascinating
and definitive
survey of the twenty languages for programming
that preceded
FORTRAN I, along with three of his fundamental
papers that each
launched significant subfields of computer
science: (1) The
theories of LL(k) and LR(k) parsing; (2)
attribute grammars to
define the meaning of languages; (3) empirical
studies of user
programs and profile-based optimization.
Every chapter is self-contained
and accessible to computer programmers with
varied backgrounds.
Readers will be able to participate vicariously
in the creation
of concepts that have now become thoroughly
integrated into
modern software systems.
8/1/2003
ISBN (Paperback): 1575863820
ISBN (Cloth): 1575863812
ISBN: 1-57146-102-7
Binding: Hardcover
Page Number: 289
Year Published: 2003
These are the proceedings of the joint seminar
by M.LT. and
Harvard on the current
Developments in mathematics for the year
2002. Established in
1995, this seminar has
been continued on the third weekend of November
every year. The
organizing committee
for the seminar consisted of distinguished
mathematicians from
the mathematics departments of both institutions:
Barry Mazur,
Wilfried Schmid, and S.T. Yau from Harvard,
and David
Jerison, TomMrowka, and Richard Stanley from
M.LT. This year, the
seminar was dedicated to Prof. Wilfried Schmid
and Prof. George
Lusztig.
The 2002 speakers included Albert Bressan,
Mark Haiman, Richard
Hain, Stephen Kudla,
Yair Minsky, John Morgan, Leslie Saper, Kari
Vilonen, and David
Vogan.
We would like to thank each of the contributors:
without their
participations, the seminar would not have
been possible. We
trust that these proceedings will be of interest
to many
mathematicians. And we hope that many of
you will be able to join
us for future seminars.
Contents
One Dimensional Hyperbolic Systems of Conservation
Laws - Alberto
Bressan .1
Combinatorics, symmetric functions and Hilbert
schemes - Mark
Haiman .39
Periods of Limit Mixed Hodge Structures -
Richard Hain 113
Modular forms and arithmetic geometry - Stephen
S. Kudla 135
End Invariants and the Classification of
Hyperbolic 3-Manifolds -
Yair N. Minsky . 181
On the Cohomology of Locally Symmetric Spaces
and of their
Compactifications - Leslie Saper. 219
ISBN: 975-403-279-3
Binding: Hardcover
Page Number: 250
Year Published: 2003
From the editors
Since its inception in 1992, the Gokova conference
has been a
premiere Turkish mathematics event sponsored
by the Scientific
and Technical Research Council of Turkey.
The participants
include some of the top mathematicians in
the world, and this
year's book reflects their valuable contributions.
Table of Contents
Fiber sums of genus 2 Lefschetz fibrations
D Auroux
Galois symmetry on Floer cohomology K Fukaya
Affine Manifolds, Log Structures, & Mirror
Symmetry M Gross
& B Siebert
Duality & Fibratios on G2 Manifolds S
Gukov, S-T Yau & E
Zaslow
U(1)-invariant special Lagrangian 3-folds
in C3 & special
Lagrangian fibrations D Joyce
On confinite subgroups of mapping class groups
M Korkmaz
A monopole homology for integral homology
3-spheres W Li
Adjunction inequality & coverings of
Stein surfaces S
Nemirovski
Polyhedral approximations of Riemannian manifolds
A Petrunin
Comparing open book and Heegaard decompositions
of 3-manifolds J
H Rubinstein
Abelian fibred holomorphic symplectic manifolds
J Sawon
Symplectic surgeries from singularities I
Smith & R Thomas
ISBN: 1-57146-109-4
Binding: Hardcover
Page Number: 286
Year Published: 2003
Based on lectures held at the Morningside
Center of Mathematics,
at the Chinese Academy of Sciences, Beijing
from April 1st to
September 30th, 1999. This volume cotains
both survey and
creative papers dealing with Morse Theory,
Minimax theory,
Iteration theory of Maslov-type index and
critical minimization
problems.
The book particularly emphasizes applications
to nonlinear
differential equations including semilinear
elliptic boundry
problems, P-Laplacian systems, periodic,
homoclinic and
hereoclinic orbits of Hamiltonian systems
and symplectic geometry.
Table of Contents
Preface
The Difference of Topology at Infinity for
the Case of Two Masses
in Changing Sign Yamabe Problems on S3 -
Abbas Bahri & Sagun
Chanillo
Linking, Positive Invariance and Localization
of Critical Points
- Thomas Bartsch
Is There Failure of the Inverse Function
Theorem? - Haim Brezis
Blow-up of Solutions of Nonlinear Parabolic
Problems - Chao-Nien
Chen
Variational Problems Which are Nonquadratic
at Infinity - David G
Costa
Homoclinic Orbits of Hamiltonian Systems,
Yanheng Ding
Self-adjointness of Hamiltonian Operator
and Some Problems in
Symplectic Geometry - Mei-Yue Jiang
Dirichlet Problem of p-Laplacian with Nonlinear
Term f(x, u) ~u p-1
at Infinity ? Gongbao Li & Huan-Song
Zhou
Some Advances in Morse Theory and Minimax
Theory - Shujie Li
On a Class of Elliptic Eigenvalue Problems
with Constraint -
Yongqing Li
Iteration Theory of Maslov-type Index and
its Applications -
Chungen Liu
Number of Invariant Sets of Descending Flow
with Applications in
Critical Point Theory - Zhaoli Liu and Jingxian
Sun
The Maslov-type Index and its Iteration Theory
with Applications
to Hamiltonian Systems - Yiming Long
The Spectrum of p-Laplacian Systems under
Dirichlet, Neumann and
Periodic Boundary Conditions - Raul Manasevich
and Jean Mawhin
A Note on Hamiltonian Systems of Multiple
Pendulum Type - Paul H.
Rabinowitz
Nontrivial Critical Points for Asymptotically
Quadratic
Functional at Resonance - Jiabao Su
Positive Solutions Having Prescribed Symmetry
for Nonlinear
Elliptic Problems - Zhi-Qiang Wang
A Decomposition Lemma and Critical Minimization
Problems - Michel
Willem
The Effect of Sublinear Term at Origin in
Some Elliptic Problems
- Shaoping Wu
Positive Mass Theorem for Modified Energy
Condition - Xiao Zhang
**
ISBN: 1-57146-110-8
Binding: Hardcover
Page Number: 545
Year Published: 2003
From the editors
The Ricci flow is currently a hot topic at
the forefront of
mathematics research. The recent developments
of Grisha Perelman
on Richard Hamilton's program for Ricci flow
are exciting. The
collection is intended to make readily available,
in one book, to
a wider audience the work of Hamilton and
others on Ricci flow.
Ricci flow as an approach to the Geometrization
Conjecture has
recently received attention in the popular
press with articles
appearing in the New York Times and other
newspapers and
magazines.
In the past two decades the Ricci flow, and
in particular Richard
Hamilton's work in it, has received attention
as both having a
profound influence on geometric evolution
equations and as a
possible approach to studying Thurston's
Geometrization
Conjecture. This selection of papers on the
Riemannian Ricci flow
is intended for a variety of purposes. The
graduate student or
researcher unfamiliar with the Ricci flow
may use it as an
introduction to the Ricci flow quickly leading
to current
research topics and open problems. Geometers
already familiar
with the Ricci flow may use it as a handy
reference which
contains almost all of Richard Hamilton's
papers on the subject
to date (2002).
Table of contents
The formation of singularities in the Ricci
flow, Richard S.
Hamilton
Three-manifolds with positive Ricci curvature,
Richard S.
Hamilton
Deforming metrics in the direction of their
Ricci tensors Dennis
DeTurck
Ricci deformation of the metric on a Riemannian
manifold Gerhard
Huisken
Four-manifolds with positive curvature operator
Richard S.
Hamilton
The Ricci flow on surfaces Richard S. Hamilton
The Ricci flow on the 2-sphere Bennett Chow
On the entropy estimate for the Ricci flow
on compact
2-orbifolds Bennett Chow
An isoperimetric estimate for the Ricci flow
on surfaces Richard
S. Hamilton
The Harnack estimate for the Ricci flow Richard
S. Hamilton
Eternal solutions to the Ricci flow Richard
S. Hamilton
A geometric interpretation of Hamilton s
Harnack
inequality for the Ricci flow Bennett Chow
& S.C.Chu
A compactness property for solutions of the
Ricci flow Richard S.
Hamilton
Non-singular solutions of the Ricci flow
on three-manifolds
Richard S. Hamilton
Four-manifolds with positive isotrophic curvature
Richard S.
Hamilton
The Harnack estimate for the Ricci flow on
a surface--
Revisited Richard S. Hamilton & S.T.
Yau
On the parabolic kernel of the Schrodinger
operator Peter Li
& S.T. Yau
Existence of incompressible minimal surfaces
and the
topology of three-dimensional manifolds with
non-negative scalar curvature R. Schoen &
S.T. Yau
Embedded minimal surfaces, exotic spheres,
and
manifolds with positive Ricci curvature Wm.
Meeks, L. Simon &
S.T. Yau
Complete Riemannian manifolds with pointwise
pinched curvature B.L.
Chen & X. P Zhu
Three-Orbifolds with positive Ricci curvature
Richard Hamilton
The Ricci flow on complete noncompact Kahler
Manifolds Xi-Ping
Zhu