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Cambridge Pre-U Mathematics Coursebook
Cambridge Pre-U Mathematics offers a comprehensive resource for students to develop the thinking skills and logic required of the Cambridge Pre-U Mathematics syllabus (9794). This Cambridge Pre-U Mathematics Coursebook provides a comprehensive resource to prepare students for the high level of mathematical knowledge expected for progression through the Pre-U syllabus. The chapters have been arranged to provide logical progression through the course, and includes clear explanation of concepts, detailed worked examples and focused exercises to help practice and consolidate skills.
Quantum Mechanics
These notes present a rigorous mathematical formulation of quantum mechanics based on the algebraic framework of observables and states. The underlying mathematics is that of topological algebras, locally convex spaces and distribution theory.
Mathematical Aspects of Weyl Quantization and Phase
This book analyzes in considerable generality the quantization-dequantization integral transform scheme of Weyl and Wigner, and considers several phase operator theories. It features: a thorough treatment of quantization in polar coordinates; dequantization by a new method of "motes"; a discussion of Moyal algebras; modifications of the transform method to accommodate operator orderings; a rigorous discussion of the Dieke laser model for one mode, fully quantum, in the thermodynamic limit; analysis of quantum phase theories based on the Toeplitz operator, the coherent state operator, the quantized phase space angle, and a sequence of finite rank operators.
Mamba
What is it like to be suddenly rich beyond your wildest dreams? What is it like to discover how deeply your hatred of rapist is? What is it like to become a government assassin to fill that hatred? Discover the dangers of being rich as you follow birth and growth of Mamba through these discoveries. Paula Fisher is a strikingly beautiful dark haired woman with a deep hatred of all men. Alone in the jungle of darkest Africa she is attacked by a rich Baron. Killing her attacker, Paula suddenly finds herself rich beyond her wildest dreams. She discovers that her hatred of men has changed when she falls in love. Paula assumes a new persona to match her new hatred. As Mamba she sets out on a quest to kill all the rich rapist she can. With the help of her new found love and a killer for hire she begins her quest only to find confusion and despair as she fights for her life and fortune.
Quantum Mechanics, Algebras, and Distributions
A contribution to the axiomatics of quantum mechanics. The objective of the authors is not to attempt any kind of radical reconstruction, but to bring algebraic clarity to the fundamentals of the orthodox theory; they work within the Copenhagen interpretation, and have produced a kind of "updated Dirac". Readers are presumed to be mathematically fairly sophisticated, but to have only rudimentary knowledge of quantum physics. Readers in the reversed situation are encouraged to work "backwards from the axioms (presented on p.220), considering only as much of the mathematics as seems reasonable". Some interesting points are developed here very clearly. (NW) Annotation copyrighted by Book News, Inc., Portland, OR
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Knots and Physics
This invaluable book is an introduction to knot and link invariants as generalised amplitudes for a quasi-physical process. The demands of knot theory, coupled with a quantum-statistical framework, create a context that naturally and powerfully includes an extraordinary range of interrelated topics in topology and mathematical physics. The author takes a primarily combinatorial stance toward knot theory and its relations with these subjects. This stance has the advantage of providing direct access to the algebra and to the combinatorial topology, as well as physical ideas.
The Interface of Knots and Physics
This text is the result of an AMS Short Course on Knots and Physics that was held in San Francisco in January 1994. The authors use ideas and methods of mathematical physics to extract topological information about knots and manifolds. The book features a basic introduction to knot polynomials in relation to statistical link invariants as well as concise introductions to topological quantum field theories and to the role of knot theory in quantum gravity.
