ISBN: 978-0-470-09699-4
Hardcover
332 pages
December 2007, Wiley-IEEE Computer Society Press
A self-contained treatment of the fundamentals of quantum computing
This clear, practical book takes quantum computing out of the realm of theoretical physics and teaches the fundamentals of the field to students and professionals who have not had training in quantum computing or quantum information theory, including computer scientists, programmers, electrical engineers, mathematicians, physics students, and chemists. The author cuts through the conventions of typical jargon-laden physics books and instead presents the material through his unique "how-to" approach and friendly, conversational style.
A number of worked examples are included so readers can see how quantum computing is done with their own eyes, while answers to similar end-of-chapter problems are provided for readers to check their own work as they learn to master the information.
Ideal for professionals and graduate-level students alike, Quantum Computing Explained delivers the fundamentals of quantum computing readers need to be able to understand current research papers and go on to study more advanced quantum texts.
Contents
Chapter 1: A Brief Introduction to Information Theory.
Chapter 2: Qubits and Quantum States.
Chapter 3: Matrices and Operators.
Chapter 4: Tensor Products.
Chapter 5: The Density Operator for a Pure state.
Chapter 6: Quantum Measurement Theory.
Chapter 7: Entanglement.
Chapter 8: Classical Logic Gates.
Chapter 9: Quantum Algorithms.
Chapter 10: Applications of Entanglement.
Chapter 11: Quantum Cryptography.
Chapter 12: Quantum Noise and Error Correction.
Chapter 13: Tools of Quantum Information Theory.
Annual Reviews of Nonlinear Dynamics and Complexity (Volume 1)
1. Edition - February 2008
2008. XII, 214 Pages, Hardcover
- Monograph -
ISBN-10: 3-527-40729-4
ISBN-13: 978-3-527-40729-3
Short description
An overview of the most important results on various fields of research on nonlinear phenomena. Enables researchers in both natural and social sciences and engineering to access their scientific neighbours' work by using a common language.
From the contents
Nonlinear Dynamics of Nanomechanical and Micromechanical Resonators
Delay Stabilization of Rotating Waves Without Odd Number Limitation
Random Boolean Networks
Return Intervals and Extreme Events in Persistant Time Series
Factorizable Language: From Dynamics to Biology
Controlling Collective Synchrony by Feedback
Series: Spectrum
Hardback (ISBN-13: 9780883855652)
Page extent: 312 pages
Size: 253 x 177 mm
Weight: 0.72 kg
Leonhard Euler (1707?1783) was the most important mathematician of the 18th century. His collected works, which number more than 800 books and articles, fill over 70 large volumes. He revolutionised real analysis and mathematical physics, single-handedly established the field of analytic number theory, and made important contributions to almost every other branch of mathematics. A great pedagogue as well as a great researcher, his textbooks educated the next generation of mathematicians. This book compiles over 20 papers, based on some of the most memorable contributions from mathematicians and historians of mathematics at academic meetings across the USA and Canada, in the years approaching Leonhard Euler's tercentenary. These papers will appeal not only to those who already have an interest in the history of mathematics, but will also serve as a compelling introduction to the subject, focused on the accomplishments of one of the greatest mathematical minds of all time.
? Accessible to a broad mathematical audience ? Contains over 20 contributions from mathematicians and mathematical historians, honouring Euler’s life and work ? Topics include analysis - especially Euler's fearless and masterful manipulations of power series - geometry, algebra, probability, astronomy and mechanics
Contents
Introduction; Leonhard Euler, the decade 1750?1760 Rudiger Thiele; Euler's fourteen problems C. Edward Sandifer; The Euler archive: giving Euler to the world Dominic Klyve and Lee Stemkoski; The Euler-Bernoulli proof of the fundamental theorem of algebra Christopher Baltus; The quadrature of Lunes, from Hippocrates to Euler Stacy G. Langton; What is a function? Rudiger Thiele; Enter, stage center: the early drama of the hyperbolic functions Janet Heine Barnett; Euler's solution of the Basel problem - the longer story C. Edward Sandifer; Euler and elliptic integrals Lawrence D'Antonio; Euler's observations on harmonic progressions Mark McKinzie; Origins of a classic formalist argument: power series expansions of the logarithmic and exponential functions Mark McKinzie; Taylor and Euler: linking the discrete and continuous Dick Jardine; Dances between continuous and discrete: Euler's summation formula David J. Pengelley; Some combinatorics in Jacob Bernoulli's Ars Conjectandi Stacy G. Langton; The Genoese lottery and the partition function Robert E. Bradley; Parallels in the work of Leonhard Euler and Thomas Clausen Carolyn Lathrop and Lee Stemkoski; Three bodies? Why not four? The motion of the Lunar Apsides Robert E. Bradley; ‘The fabric of the universe is most perfect’: Euler's research on elastic curves Lawrence D'Antonio; The Euler advection equation Roger Godard; Euler rows the boa C. Edward Sandifer; Lambert, Euler, and Lagrange as map makers George W. Heine, III; Index.
(Hardback)
ISBN-13: 978-0-19-920651-3
(Paperback)
ISBN-13: 978-0-19-920652-0
Estimated publication date: March 2008
304 pages, 234x156 mm
Series: Oxford Graduate Texts in Mathematics
Description
Interesting and wide ranging selection of topics
Emphasis on examples and applications will make this text attractive to a wide readership
Well respected author team
Rational homotopy is a very powerful tool for differential topology and geometry. This text aims to provide graduates and researchers with the tools necessary for the use of rational homotopy in geometry. Algebraic Models in Geometry has been written for topologists who are drawn to geometrical problems amenable to topological methods and also for geometers who are faced with problems requiring topological approaches and thus need a simple and concrete introduction to rational homotopy. This is essentially a book of applications. Geodesics, curvature, embeddings of manifolds, blow-ups, complex and Kahler manifolds, symplectic geometry, torus actions, configurations and arrangements are all covered. The chapters related to these subjects act as an introduction to the topic, a survey, and a guide to the literature. But no matter what the particular subject is, the central theme of the book persists; namely, there is a beautiful connection between geometry and rational homotopy which both serves to solve geometric problems and spur the development of topological methods.
Readership: Graduates and researchers in mathematics
Contents
1. Lie Groups and Homogeneous Spaces
2. Minimal Models
3. Manifolds
4. Complex and Symplectic Manifolds
5. Geodesics
6. Curvature
7. G-Spaces
8. Blow-ups and Intersection Products
9. A Florilege of Geometric Applications
Appendices
A. De Rham Forms
B. Spectral Sequences
C. Basic Homotopy Recollections
NEW IN PAPERBACK
(Paperback)
ISBN-13: 978-0-19-953548-4
Estimated publication date: April 2008
336 pages, 234x156 mm
Review(s) from previous edition:
'The strengths of the book lie in its broad survey of the complexity of Hamiltonian dynamics and its focus on interesting physical examples. The book has many excellent figures and illustrations as well as an extensive bibliography. Each chapter has a modest collection of associated exercises.' - William Satzer, Zentralblatt Math
'Zaslavsky examines the new and realistic image of the origins of dynamic chaos and randomness by considering the Hamiltonian theory of chaos and such applications as the cooling of particles and signals, the control and erasing of chaos, polynomial complexity and Maxwell's Demon.' - SciTech Book News
Description
Written in a pedagogical style, richly illustrated, plenty of applications, examples, and problem sets.
Presents some of the most complex and important features of Hamiltonian chaos.
Comprehensive discussion of space-time fractality of chaotic dynamics.
Includes detailed analysis of the foundations of statistical mechanics and Maxwell's demon.
Includes unique material on non-KAM systems, symmetry of plane tilings, erasing of chaos, and cooling of particles.
The dynamics of realistic Hamiltonian systems has unusual microscopic features that are direct consequences of its fractional space-time structure and its phase space topology. The book deals with the fractality of the chaotic dynamics and kinetics, and also includes material on non-ergodic and non-well-mixing Hamiltonian dynamics. The book does not follow the traditional scheme of most of today's literature on chaos. The intention of the author has been to put together some of the most complex and yet open problems on the general theory of chaotic systems. The importance of the discussed issues and an understanding of their origin should inspire students and researchers to touch upon some of the deepest aspects of nonlinear dynamics.
The book considers the basic principles of the Hamiltonian theory of chaos and some applications including for example, the cooling of particles and signals, control and erasing of chaos, polynomial complexity, Maxwell's Demon, and others. It presents a new and realistic image of the origin of dynamical chaos and randomness. An understanding of the origin of randomness in dynamical systems, which cannot be of the same origin as chaos, provides new insights in the diverse fields of physics, biology, chemistry, and engineering.
Readership: Graduate students, researchers and professionals working in physics, applied mathematics and engineering.
Contents
Chaotic Dynamics
1. Hamiltonian dynamics
2. Examples of Hamiltonian dynamics
3. Perturbed dynamics
4. Chaotic dynamics
5. Physical models of chaos
6. Separatrix chaos
7. Chaos and symmetry
8. Beyond the KAM-theory
9. Phase space of chaos
Fractality of chaos
10. Fractals and chaos
11. Poincare recurrences
12. Dynamical traps
13. Fractal time
Kinetics
14. General principles of kinetics
15. Levy processes and levy flights
16. Fractional kinetic equation (FKE)
17. Renormalization group of kinetics (RGK)
18. Fractional kinetics equation solutions and modifications
19. Pseudochaos
Applications
20. Complexity and entropy of dynamics
21. Complexity and entropy functions
22. Chaos and foundation of statistical mechanics
23. Chaotic advection (dynamics of tracers)
24. Advection by point vortices
25. Appendix 1
26. Appendix 2
27. Appendix 3
28. Appendix 4
29. Notes
30. Problems