- Email: [email protected]
The virtual album of fluid motion
BOOK REPORTS
1782
(R.J. Hughes). IV. Parallel computation. 15. Computing machines in the future (R.P. Feynman). 16. Internetics: Technologies, applications and academic fields (G.C. Fox). 17. Richard Feynman and the connection machine (W.D. Hillis). 18. Crystalline computation (N.H. Margolus). V. Fundamentals. 19. Information, physics, quantum: The search for links (J.A. Wheeler). 20. Feynman, Barton and the reversible Schrodinger difference equation (E. Fredkin). 21. Action, or the fungibility of computation (T. Toffoli). 22. Algorithmic randomness, physical entropy, measurements, and the demon of choice (W. Zurek). Index. Name index. Fewman Lectures on Gravitation. By Richard P. Feynman, Fernando B. Moringo, Edited by Brian Hatfield. Westview Press, Boulder, CO. (2003). 232 pages. $35.
and William
G. Wagner.
Contents: Foreword (J. Preskill and K.S. Thorne). Quantum gravity. Lecture 1. 1.1. A field approach to gravitation. 1.2. The characteristics of gravitational phenomena. 1.3. Quantum effects in gravitation. 1.4. On the philosophical problems in quantizing macroscopic objects. 1.5. Gravitation as a consequence of other fields. Lecture 2. 2.1. Postulates of statistical mechanics. 2.2. Difficulties of speculative theories. 2.3. The exchange of one neutrino. 2.4. The exchange of two neutrinos. Lecture 3. 3.1. The spin of the graviton. 3.2. Amplitudes and polarizations in electrodynamics, our typical field theory. 3.3. Amplitudes for exchange of a graviton. 3.4. Physical interpretation of the terms in the amplitudes. 3.5. The Lagrangian for the gravitational field. 3.6. The equations for the gravitational field. 3.7. Definition of symbols. Lecture 4. 4.1. The connection between the tensor rank and the sign of a field. 4.2. The stress-energy tensor for scalar matter. 4.3. Amplitudes for scattering (scalar theory). 4.4. Detailed properties of plane waves. Compton effect. 4.5. Nonlinear diagrams for gravitons. 4.6. The classical equations of motion of a gravitating particle. 4.7. Orbital motion of a particle about a star. Lecture 5. 5.1. Planetary orbits and the precession of mercury. 5.2. Time dilation in a gravitational field. 5.3. Cosmological effects of the time dilation. Mach’s principle. 5.4. Mach’s principle in quantum mechanics. 5.5. The self energy of the gravitational field. Lecture 6. 6.1. The bilinear terms of the stress-energy tensor. 6.2. Formulation of a theory correct to all orders. 6.3. The construction of invariants with respect to infinitesimal transformations. 6.4. The Lagrangian of the theory correct to all orders. 6.5. The Einstein equation for the stress-energy tensor. Lecture 7. 7.1. The principle of equivalence. 7.2. Some consequences of the principle of equivalence. 7.3. Maximum clock rates in gravity fields. 7.4. The proper time in general coordinates. 7.5. The geometrical interpretation of the metric tensor. 7.6. Curvatures in two and four dimensions. 7. 7 The number of quantities invariant under general transformations. Lecture 8. 8.1. Transformations of tensor components in nonorthogonal coordinates. 8.2. The equations to determine invariants of g@,,. 8.3. On the assumption that space is truly flat, 8.4. On the relations between different approaches to gravity theory. 8.5. The curvatures as referred to tangent spaces. 8.6. The curvatures referred to arbitrary coordinates. 8.7. Properties of the grand curvature tensor. Lecture 9. 9.1. Modifications of electrodynamics required by the principle of equivalence. 9.2. Covariant derivatives of tensors. 9.3. Parallel displacement of a vector. 9.4. The connection between curvatures and matter. Lecture 10. 10.1. The field equations of gravity. 10.2. The action for classical particles in a gravitational field. 10.3. The action for matter fields in a gravitational field. Lecture 11. 11.1. The curvature in the vicinity of a spherical star. 11.2. On the connection between matter and the curvatures. 11.3. The Schwarzschild metric, the field outside a spherical star. 11.4. The Schwarzschild singularity. 11.5. Speculations of the wormhole concept. 11.6. Problems for theoretical investigations of the wormholes. Lecture 12. 12.1. Problems of cosmology. 12.2. Assumptions leading to cosmological models. 12.3. The interpretation of the cosmological metric. 12.4. The measurements of cosmological distances. 12.5. On the characteristics of a bounded or open universe. Lecture 13. 13.1. On the role of the density of the universe in cosmology. 13.2. On the possibility of a nonuniform and nonspherical universe. 13.3. Disappearing galaxies and energy conservation. 13.4. Mach’s principle and boundary conditions. 13.5. Mysteries in the heavens. Lecture 14. 14.1. The problem of superstars in general relativity. 14.2. The significance of solutions and their parameters. 14.3. Some numerical results. 14.4. Projects and conjectures for future investigations of superstars. Lecture 15. 15.1. The physical topology of the Schwarzschild solutions. 15.2. Particle orbits in a Schwarzschild field. 15.3. On the future of geometrodynamics. Lecture 16. 16.1. The coupling between matter fields and gravity. 16.2. Completion of the theory: A simple example of gravitational radiation. 16.3. Radiation of gravitons with particle delays. 16.4. Radiation of gravitons with particle scattering. 16.5. The sources of classical gravitational waves. Bibliography. Index. The Virtual Album of Fluid Motion. By Susanne Kilian and Stefan Turek. Springer Electronic Media, Dortmund, Germany. (2002). CD Ram. $79.95. Contents:
I. Incompressible flow in fixed 2D domains. II. Incompressible flow in moving 2D domains. III. Incompressible non-Newtonian flow in fixed 2D domains. IV. Incompressible flow in fixed 3D domains. V. Incompressible flow in moving 3D domains. Appendix. Special highlights. Geometric
Numerical Inteoration:
Structure-Preseruinq
Algorithms for Ordinam~ Differential Equations.
By E.
Hairer, C. Lubich, and G. Wanner. Springer, Berlin. (2002). 515 pages. $84.95. Contents: Preface. I. Examples and numerical experiments. 1.1. Two-dimensional problems. 1.1.1. The Lotka-Volterra model. 1.1.2. Hamiltonian systems-The pendulum. 1.2. The Kepler problem and the outer solar system. 1.2.1. Ex-
1782
(R.J. Hughes). IV. Parallel computation. 15. Computing machines in the future (R.P. Feynman). 16. Internetics: Technologies, applications and academic fields (G.C. Fox). 17. Richard Feynman and the connection machine (W.D. Hillis). 18. Crystalline computation (N.H. Margolus). V. Fundamentals. 19. Information, physics, quantum: The search for links (J.A. Wheeler). 20. Feynman, Barton and the reversible Schrodinger difference equation (E. Fredkin). 21. Action, or the fungibility of computation (T. Toffoli). 22. Algorithmic randomness, physical entropy, measurements, and the demon of choice (W. Zurek). Index. Name index. Fewman Lectures on Gravitation. By Richard P. Feynman, Fernando B. Moringo, Edited by Brian Hatfield. Westview Press, Boulder, CO. (2003). 232 pages. $35.
and William
G. Wagner.
Contents: Foreword (J. Preskill and K.S. Thorne). Quantum gravity. Lecture 1. 1.1. A field approach to gravitation. 1.2. The characteristics of gravitational phenomena. 1.3. Quantum effects in gravitation. 1.4. On the philosophical problems in quantizing macroscopic objects. 1.5. Gravitation as a consequence of other fields. Lecture 2. 2.1. Postulates of statistical mechanics. 2.2. Difficulties of speculative theories. 2.3. The exchange of one neutrino. 2.4. The exchange of two neutrinos. Lecture 3. 3.1. The spin of the graviton. 3.2. Amplitudes and polarizations in electrodynamics, our typical field theory. 3.3. Amplitudes for exchange of a graviton. 3.4. Physical interpretation of the terms in the amplitudes. 3.5. The Lagrangian for the gravitational field. 3.6. The equations for the gravitational field. 3.7. Definition of symbols. Lecture 4. 4.1. The connection between the tensor rank and the sign of a field. 4.2. The stress-energy tensor for scalar matter. 4.3. Amplitudes for scattering (scalar theory). 4.4. Detailed properties of plane waves. Compton effect. 4.5. Nonlinear diagrams for gravitons. 4.6. The classical equations of motion of a gravitating particle. 4.7. Orbital motion of a particle about a star. Lecture 5. 5.1. Planetary orbits and the precession of mercury. 5.2. Time dilation in a gravitational field. 5.3. Cosmological effects of the time dilation. Mach’s principle. 5.4. Mach’s principle in quantum mechanics. 5.5. The self energy of the gravitational field. Lecture 6. 6.1. The bilinear terms of the stress-energy tensor. 6.2. Formulation of a theory correct to all orders. 6.3. The construction of invariants with respect to infinitesimal transformations. 6.4. The Lagrangian of the theory correct to all orders. 6.5. The Einstein equation for the stress-energy tensor. Lecture 7. 7.1. The principle of equivalence. 7.2. Some consequences of the principle of equivalence. 7.3. Maximum clock rates in gravity fields. 7.4. The proper time in general coordinates. 7.5. The geometrical interpretation of the metric tensor. 7.6. Curvatures in two and four dimensions. 7. 7 The number of quantities invariant under general transformations. Lecture 8. 8.1. Transformations of tensor components in nonorthogonal coordinates. 8.2. The equations to determine invariants of g@,,. 8.3. On the assumption that space is truly flat, 8.4. On the relations between different approaches to gravity theory. 8.5. The curvatures as referred to tangent spaces. 8.6. The curvatures referred to arbitrary coordinates. 8.7. Properties of the grand curvature tensor. Lecture 9. 9.1. Modifications of electrodynamics required by the principle of equivalence. 9.2. Covariant derivatives of tensors. 9.3. Parallel displacement of a vector. 9.4. The connection between curvatures and matter. Lecture 10. 10.1. The field equations of gravity. 10.2. The action for classical particles in a gravitational field. 10.3. The action for matter fields in a gravitational field. Lecture 11. 11.1. The curvature in the vicinity of a spherical star. 11.2. On the connection between matter and the curvatures. 11.3. The Schwarzschild metric, the field outside a spherical star. 11.4. The Schwarzschild singularity. 11.5. Speculations of the wormhole concept. 11.6. Problems for theoretical investigations of the wormholes. Lecture 12. 12.1. Problems of cosmology. 12.2. Assumptions leading to cosmological models. 12.3. The interpretation of the cosmological metric. 12.4. The measurements of cosmological distances. 12.5. On the characteristics of a bounded or open universe. Lecture 13. 13.1. On the role of the density of the universe in cosmology. 13.2. On the possibility of a nonuniform and nonspherical universe. 13.3. Disappearing galaxies and energy conservation. 13.4. Mach’s principle and boundary conditions. 13.5. Mysteries in the heavens. Lecture 14. 14.1. The problem of superstars in general relativity. 14.2. The significance of solutions and their parameters. 14.3. Some numerical results. 14.4. Projects and conjectures for future investigations of superstars. Lecture 15. 15.1. The physical topology of the Schwarzschild solutions. 15.2. Particle orbits in a Schwarzschild field. 15.3. On the future of geometrodynamics. Lecture 16. 16.1. The coupling between matter fields and gravity. 16.2. Completion of the theory: A simple example of gravitational radiation. 16.3. Radiation of gravitons with particle delays. 16.4. Radiation of gravitons with particle scattering. 16.5. The sources of classical gravitational waves. Bibliography. Index. The Virtual Album of Fluid Motion. By Susanne Kilian and Stefan Turek. Springer Electronic Media, Dortmund, Germany. (2002). CD Ram. $79.95. Contents:
I. Incompressible flow in fixed 2D domains. II. Incompressible flow in moving 2D domains. III. Incompressible non-Newtonian flow in fixed 2D domains. IV. Incompressible flow in fixed 3D domains. V. Incompressible flow in moving 3D domains. Appendix. Special highlights. Geometric
Numerical Inteoration:
Structure-Preseruinq
Algorithms for Ordinam~ Differential Equations.
By E.
Hairer, C. Lubich, and G. Wanner. Springer, Berlin. (2002). 515 pages. $84.95. Contents: Preface. I. Examples and numerical experiments. 1.1. Two-dimensional problems. 1.1.1. The Lotka-Volterra model. 1.1.2. Hamiltonian systems-The pendulum. 1.2. The Kepler problem and the outer solar system. 1.2.1. Ex-