Richard P. Feynman,
shared the Nobel Prize in Physics in 1965 for his work on quantum electrodynamics
Feynman Lectures on Computation
Hardcover
Availability Date: 06/16/00
Available Jun 2000
Perseus Publishing
ISBN: 0-7382-0296-7
Edited by Anthony J. G Hey, University of Southampton, England and Robin W. Allen, University of Southampton, England
Description
From 1983 to 1986, the legendary physicist and teacher Richard Feynman gave a course at Caltech called "Potentialities and Limitations of Computing Machines." Although the lectures are over ten years old, most of the material is timeless and presents a "Feynmanesque" overview of many standard and some not-so-standard topics in computer science. These include computability, Turing machines (or as Feynman said, "Mr. Turing's machines"), information theory, Shannon's Theorem, reversible computation, the thermodynamics of computation, the quantum limits to computation, and the physics of VLSI devices. Taken together, these lectures represent a unique exploration of the fundamental limitations of digital computers.
Feynman's philosophy of learning and discovery comes through strongly in these lectures. He constantly points out the benefits of playing around with concepts and working out solutions to problems on your own-before looking at the back of the book for the answers. As Feynman says in the lectures: "If you keep proving stuff that others have done, getting confidence, increasing complexities of your solutions-for the fun of it-then one day you'll turn around and discovers that nobody actually did that one! And that's the way to become a computer scientist."
Biography
The late Richard P. Feynman was Richard Chace Tolman Professor of Theoretical Physics at the California Institute of Technology. Feynman made many fundamental contributions to physics, particularly to quantum electrodynamics, quantum field theory, and particle physics. He is best known for the development of Feynman diagrams and path integrals. Feynman shared the Nobel Prize in Physics in 1965 for his work on quantum
electrodynamics.
Number of pages: 320
Trim Size: 6-1/8X9-1/4
Edited by Yavuz Nutku,
Feza Gursey Institute, Cihan Saclioglu, Bogazici University and Teoman Turgut, Bogazici University
Conformal Field Theory
New Non-Perturbative Methods in String and Field Theory
Hardcover
Availability Date: 08/18/00
Available Aug 2000
Perseus Publishing
ISBN: 0-7382-0204-5
Description
Conformal Field Theory consists of pedagogical lectures delivered at the Feza Gursey Institute, Istanbul, in the summer of 1998 on the following topics: "Non-perturbative dynamics of 4-dimensional Field theories" (P. Argyres, Cornell University), "2-Dimensional QCD, Grassmanians and M(atrix) Models" (S. Rajeev, University of Rochester), "Affine Kac-Moody algebras and CFT" (M. Walton, Lethbridge), "CFT and Vertex Operator algebras" (T. Gannon, York), and "Meromorphic CFT" (M. Gaberdiel, Cambridge). The book is suitable for advanced graduate students and researchers in theoretical particle or statistical physics as well as pure mathematicians.
Biography
Yavuz Nutku is a professor of physics and the director of the Feza Gursey Institute. Cihan Saclioglu is a professor of physics at Bogazici University and a member of the Feza Gursey Institute. Teoman Turgut is an assistant professor of physics at Bogazici University.
Number of pages: 352
Trim Size: 6-1/8X9-1/4
Edited by
ROBERT CUMMINS, University of California at Davis
DENISE CUMMINS, University of California at Davis
Minds, Brains, Computers: The Foundations of Cognitive Science
An Anthology
Series : Blackwell Philosophy Anthologies
Hardback (155786876X)
Format: 171 x 246mm , 6.75 x 9.75in
Pages: 576
Paperback (1557868778)
Description:
This book presents a vital resource - the most comprehensive interdisciplinary selection of seminal papers in the foundations of cognitive science, from leading figures in Artificial Intelligence, Linguistics, Philosophy and Cognitive Psychology.
The collection is organized around three broad conceptions of the mind: the mind as computer program, the mind as a connectionist network, and the mind as brain. Each category includes papers that articulate the conception in question, papers that illustrate it, papers that interpret or criticize it, and papers that provide necessary technical background.
Finally, there is a section of classic papers on four broad questions which have shaped contemporary thinking in cognitive science:
What is innate in the mind?
Is the mind a seamless whole, or is it made up of independent modules that differ significantly from each other?
Are our ordinary mental concepts, such as belief, desire, and intention, a good starting place for a scientific understanding of the mind, or are they artefacts of a pre-scientific conception that should be discarded?
How should biology generally, and the evolution of animals in particular, constrain our theories about mental phenomena?
Taken together, these papers give a sense of the history of the field as well as its contents by presenting the arguments, models, data, and experiments that most crucially influenced theory and practice in cognitive science.
Contents:
Preface.
Acknowledgments.
Part I: The Mind as Computer: Introduction:
1. A History of Thinking: D. D. Cummins.
2. Minds and Machines: H. Putnam.
3. Semantic Engines: An Introduction to Mind Design: J. Haugeland.
4. The Language of Thought: J. A. Fodor
5. Vision: D. Marr.
6. GPS, A Program that Simulates Human Thought: A. Newell and H. Simon.
7. A Procedural Model of Language Understanding: T. Winograd.
8. A General Learning Theory and its Application to Schema Abstraction: J. R. Anderson and P. J. Kline.
9. Minds, Brains, and Programs: J. R. Searle.
10. Computing, Machinery, and Intelligence: M. Turing.
Part II: The Mind as Neural Network: Introduction:
11. The Perceptron: A Probabilistic Model for Information Storage and Organization in the Brian: F. Rosenblatt.
12. Cognitive Activity in Artificial Neural Networks: P. M. Churchland.
13. Cooperative Computation of Stereo Disparity: D. Marr and T. Poggio.
14. On Learning the Past Tenses of English Verbs: D. E. Rumelhart and J. L. McClelland.
15. Parallel Networks that Learn to Pronounce English Text: T. J. Sejnowski and C. R. Rosenberg.
16. Connectionism and the Problem of Systematicity: Why Smolensky's Solution Won't Work: J. A. Fodor and B. P. McLaughlin.
17. Connectionism and the Language of Thought: P. Smolensky.
18. Rules and Connections in Human Language: S. Pinker and A. Prince.
Part III: The Mind as Brain: Introduction:
19. The Organization of Behavior: D. O. Hebb.
20. In Search of the Engram: K. Lashley.
21. A Logical Calculus of the Ideas Immanent in Nervous Activity: W. S. McCulloch and W. H. Pitts.
22. Is Consciousness a Brain Process?: U. T. Place.
23. The Computational Brain: Appendix: P. S. Churchland and T. J. Sejnowski.
24. What the Frog's Eye Tells the Frog's Brain: J. Y. Lettvin, H. K. Maturana, W. S. McCulloch, and W. H. Pitts.
25. Positron Emission: Tomographic Studies of the Cortical Anatomy of Single-word Processing: S. E. Petersen, P. T. Fox, M. I. Posner, M. Minton,
and M. E. Raichle.
26. Computational Neuroscience: T. J. Sejnowski, C. Koch, and P. S. Churchland.
27. Two Cortical Visual Systems: L. G. Ungerleider and M. Mishkin.
Part IV: Special Topics: Introduction:
28. Recent Contributions to the Theory of Innate Ideas: N. Chomsky.
29. The 'Innateness Hypothesis' and the Explanatory Models in Linguistics: H. Putnam.
30. Linguistics and Philosophy: N. Chomsky.
31. Initial Knowledge: Six Suggestions: E. Spelke.
32. Pr?cis of the Modularity of Mind: J. A. Fodor.
33. Eliminative Materialism and the Propositional Attitudes: P. M. Churchland.
34. The Social Function of Intellect: N. Humphrey.
35. Origins of Domain Specificity: The Evolution of Functional Organization: L. Cosmides and J. Tooby.
Index.
Spencer J. Bloch, University of Chicago, IL
Higher Regulators, Algebraic K-Theory, and Zeta Functions of Elliptic Curves
Description
This book is the long-awaited publication of the famous Irvine lectures by Spencer Bloch. Delivered in 1978 at the University of California at Irvine, these lectures turned out to be an entry point to several intimately-connected new branches of arithmetic algebraic geometry, such as: regulators and special values of L-functions of algebraic varieties, explicit formulas for them in terms of polylogarithms, the theory of algebraic cycles, and eventually the general theory of mixed motives which unifies and underlies all of the above (and much more). In the 20 years since then, the importance of Bloch's lectures has not diminished. A lucky group of people working in the above areas had the good fortune to possess a copy of old typewritten notes of these lectures. Now everyone can have their own copy of this classic.
Contents
Introduction
Tamagawa numbers
Tamagawa numbers. Continued
Continuous cohomology
A theorem of Borel and its reformulation
The regulator map. I
The dilogarithm function
The regulator map. II
The regulator map and elliptic curves. I
The regulator map and elliptic curves. II
Elements in $K_2(E)$ of an elliptic curve $E$
A regulator formula
Bibliography
Index
Details:
Series: CRM Monograph Series, ISSN: Volume: 11
Publication Year: 2000
ISBN: 0-8218-2114-8
Paging: 97 pp.
Binding: Hardcover
Joseph A. Cima, University of North Carolina, Chapel Hill, NC,
William T. Ross, University of Richmond, VA
The Backward Shift on the Hardy Space
Description
Shift operators on Hilbert spaces of analytic functions play an important role in the study of bounded linear operators on Hilbert spaces since they often serve as models for various classes of linear operators. For example, "parts" of direct sums of the backward shift operator on the classical Hardy space $H^2$ model certain types of contraction operators and potentially have connections to understanding the invariant subspaces of a general linear operator.
This book is a thorough treatment of the characterization of the backward shift invariant subspaces of the well-known Hardy spaces $H^{p}$. The characterization of the backward shift invariant subspaces of $H^{p}$ for $1 < p < \infty$ was done in a 1970 paper of R. Douglas, H. S. Shapiro, and A. Shields, and the $0 < p \le 1$ was done in a 1979 paper of A. B. Aleksandrov which is not well known in the West. This material is pulled together in this single volume and includes all the necessary background material needed to understand (especially for the $0 < p < 1$ case) the proofs of these results.
Several proofs of the Douglas-Shapiro-Shields result are provided so readers can get acquainted with different operator theory and theory techniques: applications of these proofs are also provided for understanding the backward shift operator on various other spaces of analytic functions. The results are thoroughly examined. Other features of the volume include a description of applications to the spectral properties of the backward shift operator and a treatment of some general real-variable
techniques that are not taught in standard graduate seminars. The book includes references to works by Duren, Garnett, and Stein for proofs and a bibliography for further exploration in the areas of operator theory and functional analysis.
Contents
Introduction
Classical boundary value results
The Hardy spaces of the disk
The Hardy spaces of the upper-half plane
The backward shift on $H^p$ for $p \in [1,\infty)$
The backward shift on $H^p$ for $p \in (0,1)$
Bibliography
Index
Details:
Series: Mathematical Surveys and Monographs, Volume: 79
Publication Year: 2000
ISBN: 0-8218-2083-4
Paging: 199 pp.
Binding: Hardcover
Edited by: A. G. Ramm, Kansas State University, Manhattan, KS,
P. N. Shivakumar, University of Manitoba, Winnipeg, MB, Canada,
and A. V. Strauss, Ul'yanovsk Pedagogical University, Russia
Operator Theory and Its Applications
Description
This volume contains a selection of papers presented at an international conference on operator theory and its applications held in Winnipeg. The papers chosen for this volume are intended to illustrate that operator theory is the language of modern analysis and its applications. Together with the papers on the abstract operator theory are many papers on the theory of differential operators, boundary value problems, inverse scattering and other inverse problems, and on applications to biology, chemistry, wave propagation, and many other areas.
The volume is dedicated to the late A. V. Strauss, whose principal areas of research were spectral theory of linear operators in Hilbert spaces, extension theory for symmetric linear operators, theory of the characteristic functions and functional models of linear operators, and boundary value problems with boundary conditions depending on spectral parameter. The bibliography of publications by A. V. Strauss combined with the papers from the conference provide both historical perspective and contemporary research on the field of operator theory and its applications.
Contents
A. Strauss -- Functional models of regular symmetric operators
A. G. Ramm -- Property C for ODE and applications to inverse problems
Ya. I. Alber -- Decomposition theorems in Banach spaces
R. Airapetyan -- On a new statement of inverse problem of quantum scattering theory
R. G. Airapetyan, A. G. Ramm, and A. B. Smirnova -- Continuous methods for solving nonlinear ill-posed problems
D. Alpay and Y. Peretz -- Quasi-coisometric realizations of upper triangular matrices
J. A. Ball -- Linear systems, operator model theory and scattering: Multivariable generalizations
J. A. Ball and N. J. Young -- Problems on the realization of functions
S. Belyi and E. Tsekanovskii -- Multiplication theorems for $J$-contractive operator-valued functions
Y. M. Berezansky -- Spectral theory of commutative Jacobi fields: Direct and inverse problems
G. F. Crosta -- The forward propagation method applied to the inverse obstacle problem of electromagnetics
J. Eisner and M. Kucera -- Spatial patterning in reaction-diffusion systems with nonstandard boundary conditions
A. Etkin -- On an abstract boundary value problem with the eigenvalue parameter in the boundary condition
F. Gesztesy and K. A. Makarov -- Some applications of the spectral shift operator
S. Gutman and A. G. Ramm -- Application of the hybrid stochastic-deterministic minimization method to a surface data inverse scattering problem
W. J?ger and P. Rejto -- On a theorem of Mochizuki and Uchiyama about long range oscillating potentials I
V. Khatskevich and V. Senderov -- Basic properties of linear fractional mappings of operator balls: Schroeder's equation
E. Ya. Khruslov and L. S. Pankratov -- Homogenization of the Dirichlet variational problems in Orlicz-Sobolev spaces
B. V. Loginov, D. G. Rakhimov, and N. A. Sidorov -- Development of M. K. Gavurin's pseudoperturbation method
J. L?pez-G?mez -- A bridge between operator theory and mathematical biology
M. Matvejchuk -- Measures on effects and on projections in spaces with indefinite metric
T. Nagai -- Concentration behavior of solutions to a chemotaxis system
R. Plato -- The solution of linear semidefinite ill-posed problems by the conjugate residual method
A. G. Ramm -- Justification of the limiting absorption principle in $\mathbb R^2$
A. G. Ramm -- Krein's method in inverse scattering
A. G. Ramm and M. Sammartino -- Existence and uniqueness of the scattering solutions in the exterior of rough domains
S. Ruan and J. C. Clements -- Existence and uniqueness of solutions of retarded quasilinear wave equations
E. I. Shifrin and B. Brank -- On solution of elliptical interface crack problem
A. Shklyar -- Some new effects for complete second order linear differential equations in Hilbert spaces
V. A. Trenogin -- Abstract boundary value problems for operator equations
A. V. Tsyganov -- On spectral decompositions of a restriction of a differential operator
N. N. Voitovich, Yu. P. Topolyuk, and O. O. Reshnyak -- Approximation of compactly supported functions with free phase by functions with bounded spectrum
A. Yagola and K. Dorofeev -- Sourcewise representation and a Posteriori error estimates for ill-posed problems
Y. Yamada -- Coexistence states for Lotka-Volterra systems with cross-diffusion
M. Yamaguchi and H. Yoshida -- Nonhomogeneous string problem with periodically moving boundaries
Details:
Series: Fields Institute Communications, Volume: 25
Publication Year: 2000
ISBN: 0-8218-1990-9
Paging: 574 pp.
Binding: Hardcover
Edited by: Rudi Weikard and Gilbert Weinstein, University of Alabama, Birmingham, AL
Differential Equations and Mathematical Physics
Description
This volume contains the proceedings of the 1999 International Conference on Differential Equations and Mathematical Physics. The contributions selected for this volume represent some of the most important presentations by scholars from around the world on developments in this area of research. The papers cover topics in the general area of linear and nonlinear differential equations and their relation to mathematical physics, such as multiparticle Schr?dinger operators, stability of matter, relativity theory, fluid dynamics, spectral and scattering theory including inverse problems.
Titles in this series are co-published with International Press, Cambridge, MA.
Contents
A. A. Balinsky and W. D. Evans -- On the Brown-Ravenhall relativistic Hamiltonian and the stability of matter
R. Bartnik -- Assessing accuracy in a numerical Einstein solver
R. D. Benguria and M. C. Depassier -- Variational principle for the limit cycle of Rayleigh's equation
B. K. Berger -- Approach to the singularity in spatially inhomogeneous cosmologies
M. Sh. Birman and T. A. Suslina -- On the absolute continuity of the periodic Schr?dinger and Dirac operators with magnetic potential
T. Bodineau and B. Helffer -- Correlations, spectral gap and log-Sobolev inequalities for unbounded spins systems
R. Brummelhuis, M. B. Ruskai, and E. Werner -- One dimensional regularizations of the Coulomb potential with application to atoms in strong magnetic fields
D. Chae and O. Yu. Imanuvilov -- Construction of a solution to the semilinear elliptic equation in Chern-Simons gauge theory
M. Christ, A. Kiselev, and Y. Last -- Approximate eigenvectors and spectral theory
D. Christodoulou -- The initial value problem in the large and spacetime singularities
L. Erd?s and J. P. Solovej -- On the kernel of $Spin^c$ Dirac operators on $\mathbb S^3$ and $\mathbb{R}^3$
R. Froese and I. Herbst -- Realizing holonomic constraints in classical and quantum mechanics
F. Gesztesy and H. Holden -- A combined sine-Gordon and modified Korteweg-de Vries hierarchy and its algebro-geometric solutions
M. Griesemer -- A minimax principle for eigenvalues in spectral gaps
G. A. Hagedorn and A. Joye -- Semiclassical dynamics and exponential asymptotics
R. Hempel and K. Lienau -- Genericity of the band-gap structure of periodic media in the large coupling limit
A. M. Hinz -- Distribution of eigenvalues in the dense point spectrum of Schr?dinger operators
P. D. Hislop -- On the distribution of scattering resonances for asymptotically hyperbolic manifolds
T. Hupfer, H. Leschke, and S. Warzel -- The multiformity of Lifshits tails caused by random Landau Hamiltonians with repulsive impurity potentials of different
decay at infinity
W. Karwowski and V. Koshmanenko -- Schr?dinger operator perturbed by dynamics of lower dimension
Y. V. Kurylev and M. Lassas -- Hyperbolic inverse problem with data on a part of the boundary
Y. Li -- Best Sobolev inequalities on Riemannian manifolds
E. H. Lieb and M. Loss -- Self-energy of electrons in non-perturbative QED
E. H. Lieb and J. Yngvason -- The ground state energy of a dilute Bose gas
M. Ohmiya -- Trace formulae and completely integrable Hamiltonians
Y. Pinchover -- On the maximum and anti-maximum principles
T. C. Sideris -- The null condition and global existence of nonlinear elastic waves
H. Siedentop -- The Hartree-Fock approximation in quantum electrodynamics-Positivity of the energy
J. A. Smoller and J. B. Temple -- Shock-wave cosmology
S. B. Sontz -- On some reverse inequalities in the Segal-Bargmann space
G. Teschl -- On the initial value problem of the Toda and Kac-van Moerbeke hierarchies
V. Tkachenko -- A class of non-selfadjoint Hill's operators with analytic potentials
M. M. Tom -- Regularized long wave-KP models
C. Tretter -- Spectral issues for block operator matrices
J. A. Viaclovsky -- Some fully nonlinear equations in conformal geometry
R. Weder -- $L^p - L^{\acute{p}}$ estimates for the Schr?dinger equation and inverse scattering
G. Wolanski -- Stationary states of Vlasov system
Details:
Series: AMS/IP Studies in Advanced Mathematics, Volume: 16
Publication Year: 2000
ISBN: 0-8218-2157-1
Paging: approximately 472 pp.
Binding: Softcover