Mathematical / Computational / Theoretical physics Books

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  • LEGARE STREET PR Elementary Principles in Statistical Mechanics Developed With Especial Reference to the Rational Fo

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  • LEGARE STREET PR An Elementary Treatise on Fouriers Series And Spherical Cylindrical And

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  • LEGARE STREET PR An Elementary Treatise on Fouriers Series And Spherical Cylindrical And

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  • LEGARE STREET PR The Propagation of Disturbances in Dispersive Media

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  • LEGARE STREET PR The Propagation of Disturbances in Dispersive Media

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  • LEGARE STREET PR Recherches Sur La Théorie Des Surfaces Élastiques...

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  • LEGARE STREET PR Recherches Sur La Théorie Des Surfaces Élastiques...

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  • LEGARE STREET PR An Introduction to the Kinetic Theory of Gases

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  • LEGARE STREET PR The Scientific Papers Of J. Willard Gibbs Ph.d.

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    Book Synopsis

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  • LEGARE STREET PR Elements of Vector Analysis

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  • Legare Street Press Leonhardi Euleri Mechanica Sive Motus Scientia Analytice Exposita

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  • Legare Street Press Statistical Mechanics of Stationary Homogeneous Hydromagnetic Turbulence

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  • Legare Street Press Philosophiae Naturalis Principian Mathematica

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  • Legare Street Press Die Potentialfunction und das Potential

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  • Legare Street Press The Elements of Dynamics

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  • Legare Street Press Existence and Uniqueness Theory of the Vlasov Equation

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  • Legare Street Press Analytical Theory of Turbulent Diffusion

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  • Legare Street Press A A Short Comment On Sir I. Newtons Principia

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  • Legare Street Press Wave and Vortex Motion

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  • Legare Street Press Mathematische Physik

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  • Creative Media Partners, LLC The Principles of Theoretical Chemistry

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  • Creative Media Partners, LLC The Principles of Theoretical Chemistry

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  • Creative Media Partners, LLC Handbuch Der Theoretischen Physik

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  • Creative Media Partners, LLC Handbuch Der Theoretischen Physik

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  • Creative Media Partners, LLC On the Kinetic Theory of Steady gas Flows

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  • Creative Media Partners, LLC On the Kinetic Theory of Steady gas Flows

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  • Cambridge University Press Strong Interactions of Hadrons at High Energies

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  • Springer NonEquilibrium Entropy and Irreversibility Mathematical Physics Studies 5

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    Book Synopsis1. Introduction and Summary.- 2. Dynamics and Work.- 3. Information Entropy.- 3.a Entropy and relative entropy.- 3.b Gibbs states.- 3.c Entropy-increasing processes.- 4. Heat Baths.- 5. Reversible Processes.- 6. Closed Finite Systems.- 6.a Available work.- 6.b Recurrences.- 6.c Entropy functions.- 7. Open Systems.- 7.a Markov description.- 7.b Available work and entropy.- 7.c Master equation models.- 8. External Perturbations.- 8.a Models of the perturbations.- 8.b Classical systems.- 8.c Quantum systems.- 8.d Effects on the entropy functions.- 9. Thermodynamic Limit.- 10. Thermodynamic Entropy.- 10.a Thermodynamic processes and entropy.- 10.b Properties of the entropy functions.- 10.c Irreversibility and approach to equilibrium.- 11. Measurements, Entropy and Work.- 11.a Observations on the system.- 11.b Information and entropy.- 11.c Exchange of work and heat.- 12. Other Approaches.- Appendix A. Quantum Markov Processes.- A.1 Reduced dynamics.- A.2 Markov processes.- A.3 Non-passivitTable of Contents1. Introduction and Summary.- 2. Dynamics and Work.- 3. Information Entropy.- 3.a Entropy and relative entropy.- 3.b Gibbs states.- 3.c Entropy-increasing processes.- 4. Heat Baths.- 5. Reversible Processes.- 6. Closed Finite Systems.- 6.a Available work.- 6.b Recurrences.- 6.c Entropy functions.- 7. Open Systems.- 7.a Markov description.- 7.b Available work and entropy.- 7.c Master equation models.- 8. External Perturbations.- 8.a Models of the perturbations.- 8.b Classical systems.- 8.c Quantum systems.- 8.d Effects on the entropy functions.- 9. Thermodynamic Limit.- 10. Thermodynamic Entropy.- 10.a Thermodynamic processes and entropy.- 10.b Properties of the entropy functions.- 10.c Irreversibility and approach to equilibrium.- 11. Measurements, Entropy and Work.- 11.a Observations on the system.- 11.b Information and entropy.- 11.c Exchange of work and heat.- 12. Other Approaches.- Appendix A. Quantum Markov Processes.- A.1 Reduced dynamics.- A.2 Markov processes.- A.3 Non-passivity of Markov processes.- A.4 Non-KMS property of Markov processes.- A.5 Quantum thermal fluctuations.- Appendix B. Sensitivity of Hyperbolic Motion.- References.- Notation Index.

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  • Digireads.com The Principia

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    Book SynopsisFirst published in Latin in 1687, Mathematical Principles of Natural Philosophy, commonly referred to as The Principia, is the groundbreaking work of science and mathematics by Isaac Newton. Consisting of three books, The Principia was updated twice by Newton during his lifetime, with new editions published in 1713 and 1726, as he further refined and expanded his ideas. The Principia introduced Newton''s laws of motion and his law of universal gravitation that explained the motion of all the bodies in the solar system, an area of science that had previously been incomplete and poorly understood. Newton''s seminal work established the foundation for classical mechanics and is considered one of the most important and influential scientific books ever published. The theories and formulas created and explained in The Principia comprised the basis for a new field of mathematics now known as calculus. While some of his contemporaries were reluctant to accept Newton''s ideas, by the end of

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  • Springer New York Nodal Discontinuous Galerkin Methods Algorithms Analysis and Applications 54 Texts in Applied Mathematics

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    Book SynopsisThis book offers an introduction to the key ideas, basic analysis, and efficient implementation of discontinuous Galerkin finite element methods (DG-FEM) for the solution of partial differential equations.Trade ReviewFrom the reviews: "This book provides comprehensive coverage of the major aspects of the DG-FEM, from derivation, analysis and implementation of the method to simulation of application problems. It is a highly valuable volume in the literature on the DG-FEM. It is also suitable as a textbook for a graduate-level course for students in computational and applied mathematics, physics and engineering." -Mathematical Reviews "The book under review presents basic ideas, theoretical analysis, MATLAB implementation and applications of the DG-FEM. … The representative references quoted are useful for any reader interested in applying the method in a particular area. … This book provides comprehensive coverage of the major aspects of the DG-FEM … . It is a highly valuable volume in the literature on the DG-FEM. It is also suitable as a textbook for a graduate-level course for students in computational and applied mathematics, physics, and engineering." (Weimin Han, Mathematical Reviews, Issue 2008 k) "This book is intended to offer a comprehensive introduction to, and an efficient implementation of discontinuous Galerkin finite element methods … . Each chapter of the book is largely self-contained and is complemented by adequate exercises. … The style of writing is clear and concise … . is an exceptionally complete and accessible reference for graduate students, researchers, and professionals in applied mathematics, physics, and engineering. It may be used in graduate-level courses, as a self-study resource, or as a research reference." (Marius Ghergu, Zentralblatt MATH, Vol. 1134 (12), 2008)Table of ContentsThe key ideas.- Making it work in one dimension.- Insight through theory.- Nonlinear problems.- Beyond one dimension.- Higher-order equations.- Spectral properties of discontinuous Galerkin operators.- Curvilinear elements and nonconforming discretizations.- Into the third dimension.

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    £62.99

  • Springer New York Mathematical Methods of Classical Mechanics 60 Graduate Texts in Mathematics

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    Book SynopsisI Newtonian Mechanics.- 1 Experimental facts.- 2 Investigation of the equations of motion.- II Lagrangian Mechanics.- 3 Variational principles.- 4 Lagrangian mechanics on manifolds.- 5 Oscillations.- 6 Rigid bodies.- III Hamiltonian Mechanics.- 7 Differential forms.- 8 Symplectic manifolds.- 9 Canonical formalism.- 10 Introduction to perturbation theory.- Appendix 1 Riemannian curvature.- Appendix 2 Geodesics of left-invariant metrics on Lie groups and the hydrodynamics of ideal fluids.- Appendix 3 Symplectic structures on algebraic manifolds.- Appendix 4 Contact structures.- Appendix 5 Dynamical systems with symmetries.- Appendix 6 Normal forms of quadratic hamiltonians.- Appendix 7 Normal forms of hamiltonian systems near stationary points and closed trajectories.- Appendix 8 Theory of perturbations of conditionally periodic motion, and Kolmogorov's theorem.- Appendix 9 Poincaré's geometric theorem, its generalizations and applications.- Appendix 10 Multiplicities of characteristic frequencies, and ellipsoids depending on parameters.- Appendix 11 Short wave asymptotics.- Appendix 12 Lagrangian singularities.- Appendix 13 The Korteweg-de Vries equation.- Appendix 14 Poisson structures.- Appendix 15 On elliptic coordinates.- Appendix 16 Singularities of ray systems.Trade ReviewSecond Edition V.I. Arnol’d Mathematical Methods of Classical Mechanics "The book's goal is to provide an overview, pointing out highlights and unsolved problems, and putting individual results into a coherent context. It is full of historical nuggets, many of them surprising . . . The examples are especially helpful; if a particular topic seems difficult, a later example frequently tames it. The writing is refreshingly direct, never degenerating into a vocabulary lesson for its own sake. The book accomplishes the goals it has set for itself. While it is not an introduction to the field, it is an excellent overview." —AMERICAN MATHEMATICAL MONTHLYTable of ContentsI Newtonian Mechanics.- 1 Experimental facts.- 2 Investigation of the equations of motion.- II Lagrangian Mechanics.- 3 Variational principles.- 4 Lagrangian mechanics on manifolds.- 5 Oscillations.- 6 Rigid bodies.- III Hamiltonian Mechanics.- 7 Differential forms.- 8 Symplectic manifolds.- 9 Canonical formalism.- 10 Introduction to perturbation theory.- Appendix 1 Riemannian curvature.- Appendix 2 Geodesics of left-invariant metrics on Lie groups and the hydrodynamics of ideal fluids.- Appendix 3 Symplectic structures on algebraic manifolds.- Appendix 4 Contact structures.- Appendix 5 Dynamical systems with symmetries.- Appendix 6 Normal forms of quadratic hamiltonians.- Appendix 7 Normal forms of hamiltonian systems near stationary points and closed trajectories.- Appendix 8 Theory of perturbations of conditionally periodic motion, and Kolmogorov’s theorem.- Appendix 9 Poincaré’s geometric theorem, its generalizations and applications.- Appendix 10 Multiplicities of characteristic frequencies, and ellipsoids depending on parameters.- Appendix 11 Short wave asymptotics.- Appendix 12 Lagrangian singularities.- Appendix 13 The Korteweg-de Vries equation.- Appendix 14 Poisson structures.- Appendix 15 On elliptic coordinates.- Appendix 16 Singularities of ray systems.

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    £54.99

  • Springer New York Geometry Particles and Fields Graduate Texts in Contemporary Physics

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    Book SynopsisI. Basic Properties of Particles and Fields.- 1. Electromagnetism.- 2. Interaction of Fields and Particles.- 3. Dynamics of Classical Fields.- 4. Solitons.- 5. Path Integrals and Instantons.- II. Basic Principles and Applications of Differential Geometry.- 6. Differentiable Manifolds?Tensor Analysis.- 7. Differential Forms and the Exterior Calculus.- 8. Integral Calculus on Manifolds.- 9. Dirac Monopoles.- 10. Smooth Maps?Winding Numbers.- 11. Symmetries and Conservation Laws.Trade ReviewFROM THE REVIEWS: MATHEMATICAL REVIEWS"It is particularly well-suited as an introductory text, since the author takes great care to anticipate points that may cause confusion…The author does a good job of focusing on the fundamentals…[The first] part of the book works as either a self-contained introduction to classical field theory, or as a complement to a good text on classical electrodynamics…[The second] part of the book is very clear and well planned…works as a self-contained introduction to manifolds and differential forms, or, even better, as a compliment to a concise mathematics text.” PHYSICS TODAY"The present volume is a welcome edition to the growing number of books that develop geometrical language and use it to describe new developments in particle physics ... It provides clear treatment that is accessible to graduate students with a knowledge of advanced calculus and of classical physics.... The second half of the book deals with the principles of differential geometry and its applications, with a mathematical machinery of very wide range. Here clear line drawings and illustrations supplement the multitude of mathematical definitions. This section, in its clarity and pedagogy, is reminiscent of Gravitation by Charles Misner, Kip Thorne and John Wheeler.... Felsager gives a very clear presentation of the use of geometric methods in particle physics.... For those who have resisted learning this new language, his book provides a very good introduction as well as physical motivation. The inclusion of numerous exercises, worked out, renders the book useful for independent study also. I hope this book will be followed by others from authors with equal flair to provide a readable excursion into the next step." Table of ContentsPart I: Basic Properties of Particles and Fields; 1. Electromagnetism; 2. Interaction of Fields and Particles; 3. Dynamics of Classical Fields; 4. Solitons; 5. Path-Integrals and Instantons; Part II: Basic Principles and Applications of Differential Geometry; 6. Differentiable Manifolds-Tensor Analysis; 7. Differential Forms and the Exterior Algebra; 8. Integral Calculus on Manifolds; 9. Dirac Monopoles; 10. Smooth Maps-Winding Numbers; 11. Symmetries and Conservation Laws

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    £75.99

  • Springer New York Multiple Scale and Singular Perturbation Methods 114 Applied Mathematical Sciences

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    Book Synopsis1. Introduction.- 1.1. Order Symbols, Uniformity.- 1.2. Asymptotic Expansion of a Given Function.- 1.3. Regular Expansions for Ordinary and Partial Differential Equations.- References.- 2. Limit Process Expansions for Ordinary Differential Equations.- 2.1. The Linear Oscillator.- 2.2. Linear Singular Perturbation Problems with Variable Coefficients.- 2.3. Model Nonlinear Example for Singular Perturbations.- 2.4. Singular Boundary Problems.- 2.5. Higher-Order Example: Beam String.- References.- 3. Limit Process Expansions for Partial Differential Equations.- 3.1. Limit Process Expansions for Second-Order Partial Differential Equations.- 3.2. Boundary-Layer Theory in Viscous, Incompressible Flow.- 3.3. Singular Boundary Problems.- References.- 4. The Method of Multiple Scales for Ordinary Differential Equations.- 4.1. Method of Strained Coordinates for Periodic Solutions.- 4.2. Two Scale Expansions for the Weakly Nonlinear Autonomous Oscillator.- 4.3. Multiple-Scale Expansions for General Weakly Nonlinear Oscillators.- 4.4. Two-Scale Expansions for Strictly Nonlinear Oscillators.- 4.5. Multiple-Scale Expansions for Systems of First-Order Equations in Standard Form.- References.- 5. Near-Identity Averaging Transformations: Transient and Sustained Resonance.- 5.1. General Systems in Standard Form: Nonresonant Solutions.- 5.2. Hamiltonian System in Standard Form; Nonresonant Solutions.- 5.3. Order Reduction and Global Adiabatic Invariants for Solutions in Resonance.- 5.4. Prescribed Frequency Variations, Transient Resonance.- 5.5. Frequencies that Depend on the Actions, Transient or Sustained Resonance.- References.- 6. Multiple-Scale Expansions for Partial Differential Equations.- 6.1. Nearly Periodic Waves.- 6.2. Weakly Nonlinear Conservation Laws.- 6.3. Multiple-Scale Homogenization.- References.Table of Contents1. Introduction.- 1.1. Order Symbols, Uniformity.- 1.2. Asymptotic Expansion of a Given Function.- 1.3. Regular Expansions for Ordinary and Partial Differential Equations.- References.- 2. Limit Process Expansions for Ordinary Differential Equations.- 2.1. The Linear Oscillator.- 2.2. Linear Singular Perturbation Problems with Variable Coefficients.- 2.3. Model Nonlinear Example for Singular Perturbations.- 2.4. Singular Boundary Problems.- 2.5. Higher-Order Example: Beam String.- References.- 3. Limit Process Expansions for Partial Differential Equations.- 3.1. Limit Process Expansions for Second-Order Partial Differential Equations.- 3.2. Boundary-Layer Theory in Viscous, Incompressible Flow.- 3.3. Singular Boundary Problems.- References.- 4. The Method of Multiple Scales for Ordinary Differential Equations.- 4.1. Method of Strained Coordinates for Periodic Solutions.- 4.2. Two Scale Expansions for the Weakly Nonlinear Autonomous Oscillator.- 4.3. Multiple-Scale Expansions for General Weakly Nonlinear Oscillators.- 4.4. Two-Scale Expansions for Strictly Nonlinear Oscillators.- 4.5. Multiple-Scale Expansions for Systems of First-Order Equations in Standard Form.- References.- 5. Near-Identity Averaging Transformations: Transient and Sustained Resonance.- 5.1. General Systems in Standard Form: Nonresonant Solutions.- 5.2. Hamiltonian System in Standard Form; Nonresonant Solutions.- 5.3. Order Reduction and Global Adiabatic Invariants for Solutions in Resonance.- 5.4. Prescribed Frequency Variations, Transient Resonance.- 5.5. Frequencies that Depend on the Actions, Transient or Sustained Resonance.- References.- 6. Multiple-Scale Expansions for Partial Differential Equations.- 6.1. Nearly Periodic Waves.- 6.2. Weakly Nonlinear Conservation Laws.- 6.3. Multiple-Scale Homogenization.- References.

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    £143.99

  • Springer Spinors in Hilbert Space

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    Book Synopsis1. Hilbert Space.- 2. Spinors.- Finite Number of Dimensions.- 3. Rotations in n Dimensions.- 4. Null Vectors and Null Planes.- 5. The Independence Theorem.- 6. Specification of a Null Plane without Its Coordinates.- 7. Matrix Notation.- 8. Expression of a Rotation in Terms of an Infinitesimal Rotation.- 9. Complex Rotations.- 10. The Noncommutative Algebra.- 11. Rotation Operators.- 12. Fixation of the Coefficients of Rotation Operators.- 13. The Ambiguity of Sign.- 14. Kets and Bras.- 15. Simple Kets.- Even Number of Dimensions.- 16. The Ket Matrix.- 17. The Two-Ket-Matrix Theorem.- 18. The Connection between Two Ket Matrices.- 19. The Representation of Kets.- 20. The Representative of a Simple Ket. General.- 21. The Representative of a Simple Ket. Special Cases.- 22. Fixation of the Coefficients of Simple Kets.- 23. The Scalar Product Formula.- Infinite Number of Dimensions.- 24. The Need for Bounded Matrices.- 25. The Infinite Ket Matrix.- 26. Passage from One Ket Matrix to Another.Table of Contents1. Hilbert Space.- 2. Spinors.- Finite Number of Dimensions.- 3. Rotations in n Dimensions.- 4. Null Vectors and Null Planes.- 5. The Independence Theorem.- 6. Specification of a Null Plane without Its Coordinates.- 7. Matrix Notation.- 8. Expression of a Rotation in Terms of an Infinitesimal Rotation.- 9. Complex Rotations.- 10. The Noncommutative Algebra.- 11. Rotation Operators.- 12. Fixation of the Coefficients of Rotation Operators.- 13. The Ambiguity of Sign.- 14. Kets and Bras.- 15. Simple Kets.- Even Number of Dimensions.- 16. The Ket Matrix.- 17. The Two-Ket-Matrix Theorem.- 18. The Connection between Two Ket Matrices.- 19. The Representation of Kets.- 20. The Representative of a Simple Ket. General.- 21. The Representative of a Simple Ket. Special Cases.- 22. Fixation of the Coefficients of Simple Kets.- 23. The Scalar Product Formula.- Infinite Number of Dimensions.- 24. The Need for Bounded Matrices.- 25. The Infinite Ket Matrix.- 26. Passage from One Ket Matrix to Another.- 27. The Various Kinds of Ket Matrices.- 28. Failure of the Associative Law.- 29. The Fundamental Commutators.- 30. Boson Variables.- 31. Boson Emission and Absorption Operators.- 32. Infinite Determinants.- 33. Validity of the Scalar Product Formula.- 34. The Energy of a Boson.- 35. Physical Application.

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    £94.99

  • Birkhauser Boston Infinite Dimensional Lie Algebras An Introduction Progress in Mathematics 44

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    Table of Contents1. Basic definitions.- 2. The invariant bilinear form and the generalized Casimir operator.- 3. Integrable representations and the Weyl group of a Kac-Moody algebra.- 4. Some properties of generalized Cartan matrices.- 5. Real and imaginary roots.- 6. Affine Lie algebras: the normalized invariant bilinear form, the root system and the Weyl group.- 7. Affine Lie algebras: the realization (case k = 1).- 8. Affine Lie algebras: the realization (case k = 2 or 3). Application to the classification of finite order automorphisms.- 9. Highest weight modules over the Lie algebra g(A).- 10. Integrable highest weight modules: the character formula.- 11. Integrable highest weight modules: the weight system, the contravariant Hermitian form and the restriction problem.- 12. Integrable highest weight modules over affine Lie algebras. Application to ?-function identities.- 13. Affine Lie algebras, theta functions and modular forms.- 14. The principal realization of the basic representation. Application to the KdV-type hierarchies of non-linear partial differential equations.- Index of notations and definitions.- References.

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  • Innovative Eggz LLC Flatland: A Romance of Many Dimensions

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  • Chump Change Flatland: A Romance of Many Dimensions

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    £8.68

  • Morgan & Claypool Publishers The Physics of Noise

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    Book SynopsisFor a physicist, "noise" is not just about sounds, but refers to any random physical process that blurs measurements, and in so doing stands in the way of scientific knowledge.This book deals with the most common types of noise, their properties, and some of their unexpected virtues. The text explains the most useful mathematical concepts related to noise. Finally, the book aims at making this subject more widely known and to stimulate the interest for its study in young physicists.Table of Contents Preface Acknowledgments Author biography Cosmic noise What is noise? Mathematical models of noise The science of Johnson noise Final remarks Further reading

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    £52.25

  • Morgan & Claypool Publishers Introduction to Computational Physics for Undergraduates

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    Book SynopsisThis is an introductory textbook on computational methods and techniques intended for undergraduates at the sophomore or junior level in the fields of science, mathematics, and engineering. It provides an introduction to programming languages such as FORTRAN 90/95/2000 and covers numerical techniques such as differentiation, integration, root finding, and data fitting. The textbook also entails the use of the Linux/Unix operating system and other relevant software such as plotting programs, text editors, and mark up languages such as LaTeX. It includes multiple homework assignments.Table of Contents Preface Acknowledgments Author biographies 1. The Linux/Unix operating system 2. Text editors 3. The Fortran 90 programming language 4. Numerical techniques 5. Problem solving methodologies 6. Worksheet assignments 7. Homework assignments Appendices

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  • arima publishing Differential Forms for Cartan-Klein Geometry

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    £46.95

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