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CSCI-6050 (Spring '03: Groton)
PROFESSIONAL
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Links of Interest
Professional
Societies
Business
Problem-Solving Environments
ACADEMIC
Homepage
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RH Faculty
Links of Interest
Societies
Computability &
Complexity
Algorithmics
Dynamical
Systems
Numerical Analysis
Problem-Solving
Environments
Cool People &
Places
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Academic
Links of Interest
| Professional
Societies |
|
| SIAM |
Society
of Industrial and Applied Mathematics |
| AMS |
American
Mathematical Society |
| IEEE |
Institute
of Electrical and Electronics Engineers, Inc. |
|
| Computability
& Complexity (Books & Articles) |
|
| Hopcroft,
Motwani & Ullman |
Introduction
to Automata Theory, Languages, and Computation,
2nd Edition, Addison Wesley, 2001 |
| Kozen |
Automata
and Computability, Springer-Verlag, 1997. |
| Martin |
Introduction
to Languages and the Theory of Computation,
2nd Edition, McGraw-Hill, 1997. |
| Papadimitriou |
Computational
Complexity, Addison-Wesley, 1994. |
| Sipser |
Introduction
to the Theory of Computation, PWS Publishing,
1997. |
| Taylor |
Models
of Computation and Formal Languages, Oxford
University Press, 1998. |
| Traub,
Wasilkowski and Wozniakowski |
Information-Based
Complexity, Academic Press, 1988. |
|
| Algorithmics
(Books & Articles) |
|
| Aho,
Hopcroft and Ullman |
The
Design and Analysis of Computer Algorithms,
Addison-Wesley, 1974. |
| Cormen,
Leiserson & Rivest |
Introduction
to Algorithms, MIT Press, 1990. |
| Kozen |
The
Design and Analysis of Algorithms, Springer-Verlag,
1992. |
| Harel |
Algorithmics:
The Spirit of Computing, Addison-Wesley, 1987. |
| Knuth |
Selected
Papers on Analysis of Algorithms, CSLI Lecture
Notes, Vol 102, 2000. |
| Sedgewick |
Algorithms
in C++, Third Edition, Addison-Wesley, 1998. |
| Schneier |
Applied
Cryptography, Second Edition, John Wiley &
Sons, 1996. |
| Stinson |
Cryptography;
Theory and Practice, CRC Press, 1995. |
|
| Dynamical
Systems (Books & Articles) |
|
| Arnold |
The
Theory of Singularities and Its Applications,
Cambridge University Press, 1991 |
| Chow
& Hale |
Methods
of Bifurcation Theory, Springer, 1982. |
| Golubitsky,
Stewart & Schaeffer |
Singularities
and Groups in Bifurcation Theory, Volumes I
and II, Springer-Verlag, 1988 (Vol II). |
| Grasman |
Asymptotic
Methods for Relaxation Oscillations and
Applications, Series in Applied Mathematical
Sciences, Vol 63, Springer-Verlag, 1987. |
| Guckenheimer
and Holmes |
Nonlinear
Oscillations, Dynamical Systems, and Bifurcations
of Vector Fields, Springer-Verlag, Series in
Mathematical Sciences, Vol 42, 1983. |
| Hale
and Kocak |
Dynamics
and Bifurcations, Texts in Applied
Mathematics, Vol 3, Springer-Verlag, 1991. |
| Hirsch
& Smale |
Differential
Equations, Dynamical Systems and Linear Algebra,
Academic Press, 1974. |
| Lichtenberg
and Lieberman |
Regular
and Chaotic Dynamics, Series in Applied
Mathematical Sciences, Vol 38, Springer-Verlag,
1991. |
| Marsden |
Lectures
on Geometric Methods in Mathematical Physics,
CBMS-NSF Regional Conference Series in Applied
Mathematics, Vol 37, 1981. |
| Marsden
& Ratiu |
Introduction
to Mechanics and Symmetry, Texts in Applied
Mathematics Vol 17, Springer-Verlag, 1994. |
| Oksendal |
Stochastic
Differential Equations: An Introduction With
Applications, Third Edition, Springer-Verlag,
1980. |
| Ruelle |
Elements
of Differentiable Dynamics and Bifurcation Theory,
Academic Press, 1989. |
| Sanders
& Verhulst |
Averaging
Methods in Nonlinear Dynamical Systems,
Applied Mathematical Sciences Series, Vol 59,
Springer-Verlag, 1985. |
|
| Numerical
Analysis (Books & Articles) |
|
| Ascher
& Petzold |
Computer
Methods for Ordinary Differential Equations and
Differential-Algebraic Equations, SIAM, 1998. |
| Blum |
Numerical
Analysis and Computation: Theory and Practice,
Addison-Wesley, 1972. |
| Ciarlet
& Lions |
Handbook
of Numerical Analysis: Techniques of Scientific
Computing (Part 2), Volume V, Elsevier, 1997. |
| Ciarlet
& Lions |
Handbook
of Numerical Analysis: Solution of Equations in Rn
(Part 4), Techniques of Scientific Computing (Part
4), Numerical Methods for Fluids (Part 2),
Volume VIII, Elsevier, 2002. |
| Harier,
Norsett & Wanner |
Solving
Ordinary Differential Equations II: Nonstiff
Problems, Springer Series in Computational
Mathematics, Vol 8, Springer-Verlag, 1983. |
| Harier
& Wanner |
Solving
Ordinary Differential Equations II: Stiff and
Differential-Algebraic Problems, Springer
Series in Computational Mathematics, Vol 14,
Springer-Verlag, 1991. |
| Keller |
Numerical
Solution of Two Point Boundary Value Problems,
CBMS-NSF Regional Conference Series in Applied
Mathematics, Vol 24, 1990. |
| Kloeden
& Platen |
Numerical
Solution of Stochastic Differential Equations,
Serries in Applications of Mathematics, Vol 23,
Springer, 1995. |
| Ortega
& Rheinboldt |
Iterative
Solution of Nonlinear Equations in Several
Variables, Academic Press, 1970. (Also
Classics in Applied Mathematics, Vol 30, SIAM,
2000.) |
| Rabier
& Rheinboldt |
Nonholonomic
Motion of Rigid Mechanical Systems From A DAE
Viewpoint, SIAM, 2000. |
| Rheinboldt |
Numerical
Analysis of Parameterized Nonlinear Equations,
Univ. Arkansas Lecture Notes in the Mathematical
Sciences, Vol 7, John Wiley, 1986. |
| Stoer
& Bulirsch |
Introduction
to Numerical Analysis, Second Edition, Texts
in Applied Mathematics, Vol 12, Springer-Verlag,
1991. |
|
| Problem-Solving
Environments |
|
| The
MathWorks |
Creators
of the MATLAB software and toolboxes |
| The
Math Wizards |
Math
computation tools compatible with MATLAB syntax |
| MathTools |
Extension
libraries for MATLAB programming |
| PSE |
Creators
of gPROMS |
| Waterloo
Maple Software |
Creators
of the Maple symbolic algebra software |
| Wolfram
Research |
Makers
of the Mathematica symbolic algebra software |
| Mathsoft |
Makers
of the MathCad, Axum and S-Plus software packages |
| LabVIEW |
Data
acquisition and analysis software from National
Instruments |
| OPNET |
Communications
network modeling and simulation software from MIL3 |
|
| Cool
People & Places |
|
| Doyle,
John |
Professor,
Control and
Dynamical Systems and Electrical
Engineering, California
Institute of Technology |
| Guckenheimer,
John |
Professor,
Applied
Mathematics and Theoretical
& Applied Mechanics, Cornell
University |
| Marsden,
Jerrold E. |
Professor,
Control and
Dynamical Systems, Division
of Engineering
& Applied Science, California
Institute of Technology |
| Holmes,
Phillip |
Professor,
Program
in Applied and Computational Mathematics and Mechanical
and Aerospace Engineering Department, Princeton
University |
| Mezic,
Igor |
Professor,
Mechanical &
Environmental Engineering, University
of California, Santa Barbara |
| Murray,
Richard |
Division
Chair, Engineering
& Applied Science, and Professor, Mechanical
Engineering, California
Institute of Technology |
| Pantelides,
Costas |
Professor,
Chemical
Engineering Department, Imperial
College, London and CTO, Process
Systems Enterprise, LTD |
|
| CDS,
Caltech |
Program
in Control & Dynamical Systems, California
Institute of Technology |
| CIMMS,
Caltech |
Center
for Integrative Multiscale Modeling &
Simulation, California
Institute of Technology |
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