Not yet published - available from May 2024
FORMAT: Hardback
ISBN: 9781009283373
Critical coding techniques have developed over the past few decades for data storage,
retrieval and transmission systems, significantly mitigating costs for governments and
corporations that maintain server systems containing large amounts of data.
This book surveys the basic ideas of these coding techniques, which tend not to be covered
in the graduate curricula, including pointers to further reading. Written in an informal style,
it avoids detailed coverage of proofs, making it an ideal refresher or brief introduction for
students and researchers in academia and industry who may not have the time to commit
to understanding them deeply. Topics covered include fountain codes designed for large file downloads;
LDPC and polar codes for error correction; network, rank metric, and subspace codes for the transmission
of data through networks; post-quantum computing; and quantum error correction.
Readers are assumed to have taken basic courses on algebraic coding and information theory.
Essays can be read independently for overviews of specific topics
Promotes understanding by emphasizing basic ideas and results over heavy formalism
Provides guidance to further reading for more advanced coverage of topics
Preface
1. Introduction
2. Coding for erasures and fountain codes
3. Low density parity check codes
4. Polar codes
5. Network codes
6. Coding for distributed storage
7. Locally repairable codes
8. Locally decodable codes
9. Private information retrieval
10. Batch codes
11. Expander codes
12. Rank metric and subspace codes
13. List decoding
14. Sequences sets with low correlation
15. Post-quantum cryptography
16. Quantum error correcting codes
17. Other types of coding
Appendix A: Finite geometries, linearized polynomials and Gaussian coefficients
Appendix B: Hasse derivatives and zeros of multivariate polynomials
References
Index.
Not yet published - available from May 2024
FORMAT: Paperback
ISBN: 9781009446556
Quantum Mechanics will enthuse graduate students and researchers and equip them with effective methodologies f
or challenging applications in atomic, molecular, and optical sciences and in condensed matter and nuclear physics also.
This book attempts to make fundamental principles intuitively appealing. It will assist readers in learning difficult methods.
Exposition of fundamental principles includes a discussion on position-momentum and energy-time uncertainty,
angular momentum algebra, parity, bound and unbound eigenstates of an atom, approximation methods,
time-reversal symmetry in collisions, and on a measurable time delay in scattering. It also provides an early introduction
to Feynman path integrals and to geometric phase. A novel Lambert-W method to solve quantum mechanical problems
is also introduced. It seeks to enable readers gain confidence in applying methods of non-relativistic and relativistic
quantum theory rigorously to problems on atomic structure and dynamics, spectroscopy and quantum collisions,
and problems on introductory quantum information processing and computing.
Rapid yet gentle ramp-up from basic principles like inadequacy of classical mechanics and uncertainty principle to
advanced techniques such as path integral methods, relativistic quantum mechanics, collision physics, quantum computing,
and quantum teleportation
Extensive coverage of topics for thorough understanding
'Funquest' sections within chapters for conceptual pondering over subtle ideas
Solved problems at the end of chapters to provide better insight and self-study
Exercises at the end of chapters for practice
Intricate mathematical details provided in Appendices
List of Figures
Foreword by Eva Lindroth
Preface
Chapter 1. Description of a physical system
Chapter 2. Feynman's formulation of quantum mechanics
Chapter 3. Continuum and bound eigenstates of one-dimensional potentials
Chapter 4. Angular momentum
Chapter 5. The nonrelativistic hydrogen atom
Chapter 6. Approximation methods
Chapter 7. The relativistic hydrogen atom
Chapter 8. Quantum mechanics of spectral transitions
Chapter 9. The many-electron atom
Chapter 10. Quantum collisions
Chapter 11. Introduction to entanglement and quantum computing
Appendix A. Role of symmetry in atomic physics
Appendix B. Schrodinger, Heisenberg and Dirac 'pictures' of quantum dynamics
Appendix C. Spherical harmonics
Appendix D. Occupation number formalism: second quantization
Appendix E. Electron structure studies with qubits
Index.
available from May 2024
FORMAT: Hardback
ISBN: 9781009440783
Building on mathematical structures familiar from quantum mechanics, this book provides an introduction to quantization in a broad context before developing a framework for quantum geometry in Matrix Theory and string theory. Taking a physics-oriented approach to quantum geometry, this framework helps explain the physics of Yang?Mills-type matrix models, leading to a quantum theory of space-time and matter. This novel framework is then applied to Matrix Theory, which is defined through distinguished maximally supersymmetric matrix models related to string theory. A mechanism for gravity is discussed in depth, which emerges as a quantum effect on quantum space-time within Matrix Theory. Using explicit examples and exercises, readers will develop a physical intuition for the mathematical concepts and mechanisms. It will benefit advanced students and researchers in theoretical and mathematical physics, and is a useful resource for physicists and mathematicians interested in the geometrical aspects of quantization in a broader context.
The first comprehensive work on quantum spaces and matrix models, this book provides a systematic and self-contained introduction that makes these subjects accessible to non-experts without having to go through the research literature
Includes intuitive, physics-oriented discussions, explaining the motivation and relation with other approaches so that the basic ideas and physical motivation can be readily understood
Includes a systematic discussion of the mathematical concept of quantization, which is useful to readers interested in the context of quantum mechanics more broadly
Introduces an original approach to quantum gravity via matrix models, including novel techniques of string modes, through a systematic and detailed discussion, providing a useful resource for related research
Preface
The trouble with spacetime
Quantum geometry and Matrix theory
Part I. Mathematical Background:
1. Differentiable manifolds
2. Lie groups and coadjoint orbits
Part II. Quantum Spaces and Geometry:
3. Quantization of symplectic manifolds
4. Quantum spaces and matrix geometry
5. Covariant quantum spaces
Part III. Noncommutative field theory and matrix models:
6. Noncommutative field theory
7. Yang-Mills matrix models and quantum spaces
8. Fuzzy extra dimensions
9. Geometry and dynamics in Yang-Mills matrix models
10. Higher-spin gauge theory on quantum spacetime
Part IV. Matrix Theory and Gravity:
11. Matrix theory: maximally supersymmetric matrix models
12. Gravity as a quantum effect on quantum spacetime
13. Matrix quantum mechanics and the BFSS model
Appendixes
References
Index.
*
Not yet published - available from May 2024
FORMAT: Hardback
ISBN: 9781009343626
Thoroughly revised and expanded, the new edition of this established textbook equips readers with a robust and practical understanding of experimental fluid mechanics. Enhanced features include improved support for students with emphasis on pedagogical instruction and self-learning, end-of-chapter summaries, 127 examples, 165 problems and refined illustrations, plus new coverage of digital photography, frequency analysis of signals and force measurement. It describes comprehensively classical and modern methods for flow visualisation and measuring flow rate, pressure, velocity, temperature, concentration, forces and wall shear stress, alongside supporting material on system response, measurement uncertainty, signal analysis, data analysis, optics, laboratory apparatus and laboratory practice. Instructor resources include lecture slides, additional problems, laboratory support materials and online solutions. Ideal for senior undergraduate and graduate students studying experimental fluid mechanics, this textbook is also suitable for an introductory measurements laboratory, and is a valuable resource for practising engineers and scientists in experimental fluid mechanics.
An up-to-date, comprehensive, combined treatment of practical techniques and the underlying theory, providing readers with a single, authoritative laboratory reference
Worked examples illustrate, and expand upon, core concepts presented within the text, and highlight possible pitfalls
Introduces all the necessary background to get up to speed with modern laboratory techniques in fluid mechanics
Preface
Part I. Background:
1. Flow properties and basic principles
2. Measuring systems
3. Signal conditioning and discretisation
4. Statistical analysis of measurements
5. Frequency analysis of signals
6. Measurement uncertainty
7. Background for optical experimentation
8. Fluid mechanical apparatus and experimental practices
Part II. Measurement Techniques:
9. Measurement of flow pressure
10. Measurement of flow rate
11. Flow visualisation techniques
12. Measurement of local flow velocity
13. Measurement of forces and wall shear stress
14. Measurement of temperature
15. Composition determination
16. Retrospection and outlook
Index.
Part of Mathematical Sciences Research Institute Publications
Not yet published - available from May 2024
FORMAT: Hardback
ISBN: 9781009320719
Dynamical systems that are amenable to formulation in terms of a Hamiltonian function or operator encompass a vast swath of fundamental cases in applied mathematics and physics. This carefully edited volume represents work carried out during the special program on Hamiltonian Systems at MSRI in the Fall of 2018. Topics covered include KAM theory, polygonal billiards, Arnold diffusion, quantum hydrodynamics, viscosity solutions of the Hamilton?Jacobi equation, surfaces of locally minimal flux, Denjoy subsystems and horseshoes, and relations to symplectic topology.
Features the research carried out during the special program on Hamiltonian Systems at MSRI during Fall 2018
Written by leading experts in the field
Reflects the broad interdisciplinary nature of Hamiltonian systems
1. Denjoy subsystems and horseshoes Marie-Claude Arnaud
2. Impact Hamiltonian systems and polygonal billiards L. Becker, S. Elliott, B. Firester, S. Gonen Cohen, Michael Pnueli and Vered Rom-Kedar
3. Some remarks on the classical KAM theorem, following Poschel Abed Bounemoura
4. Some recent developments in Arnold diffusion Chong-Qing Cheng and Jinxin Xue
5. Viscosity solutions of the Hamilton-Jacobi equation on a noncompact manifold Albert Fathi
6. Holonomy and vortex structures in quantum hydrodynamics Michael S. Foskett and Cesare Tronci
7. Surfaces of locally minimal flux Robert S. MacKay
8. A symplectic approach to Arnold diffusion problems Jean-Pierre Marco
9. Hamiltonian ODE, homogenization, and symplectic topology Fraydoun Rezakhanlou.
Not yet published - available from July 2024
FORMAT: Hardback
ISBN: 9781009455626
Matrix theory is the lingua franca of everyone who deals with dynamically evolving systems, and familiarity with efficient matrix computations is an essential part of the modern curriculum in dynamical systems and associated computation. This is a master's-level textbook on dynamical systems and computational matrix algebra. It is based on the remarkable identity of these two disciplines in the context of linear, time-variant, time-discrete systems and their algebraic equivalent, quasi-separable systems. The authors' approach provides a single, transparent framework that yields simple derivations of basic notions, as well as new and fundamental results such as constrained model reduction, matrix interpolation theory and scattering theory. This book outlines all the fundamental concepts that allow readers to develop the resulting recursive computational schemes needed to solve practical problems. An ideal treatment for graduate students and academics in electrical and computer engineering, computer science and applied mathematics.
The new method adheres to classical system- and matrix-theory traditions but applies them in a transparent and appealing way
Focuses on elementary matrix algebra and presents this in the most effective way
Connects linear dynamical systems and matrix algebra to allow readers to explore the methods using available software tools
Table of contents
Part I. Twelve Lectures on Basics, with Examples:
1. A first example: optimal quadratic tracking
2. Dynamical systems
3. LTV (quasi-separable) systems
4. System identification
5. State equivalence, state reduction
6. Elementary operations
7. Inner operators and external factorizations
8. Inner-outer factorization
9. Application: the Kalman filter
10. Polynomial representations
11. Quasi-separable Moore-Penrose inversion
Part II. Further Contributions to Matrix Theory:
12. LU (spectral) factorization
13. Matrix Schur interpolation
14. The scattering picture
15. Constrained interpolation
16. Constrained model reduction
17. Isometric embedding for causal contractions
Appendix. Data model and implementations
Bibliography
Index