Soft Condensed Matter

Soft Condensed Matter PDF

Author: Richard A.L. Jones

Publisher: Oxford University Press

Published: 2002-06-20

Total Pages: 220

ISBN-13: 9780198505891

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This text offers an introduction to the properties and behaviour of soft matter. It begins with a treatment of the underlying principles, then discusses how the properties of certain substances and systems are treated within this framework.

Fractals, Chaos, Power Laws

Fractals, Chaos, Power Laws PDF

Author: Manfred Schroeder

Publisher: Courier Corporation

Published: 2009-08-21

Total Pages: 450

ISBN-13: 0486472043

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This fascinating book explores the connections between chaos theory, physics, biology, and mathematics. Its award-winning computer graphics, optical illusions, and games illustrate the concept of self-similarity, a typical property of fractals. The author -- hailed by Publishers Weekly as a modern Lewis Carroll -- conveys memorable insights in the form of puns and puzzles. 1992 edition.

Handbook of Geometric Topology

Handbook of Geometric Topology PDF

Author: R.B. Sher

Publisher: Elsevier

Published: 2001-12-20

Total Pages: 1145

ISBN-13: 0080532853

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Geometric Topology is a foundational component of modern mathematics, involving the study of spacial properties and invariants of familiar objects such as manifolds and complexes. This volume, which is intended both as an introduction to the subject and as a wide ranging resouce for those already grounded in it, consists of 21 expository surveys written by leading experts and covering active areas of current research. They provide the reader with an up-to-date overview of this flourishing branch of mathematics.

Infinity Properads and Infinity Wheeled Properads

Infinity Properads and Infinity Wheeled Properads PDF

Author: Philip Hackney

Publisher: Springer

Published: 2015-09-07

Total Pages: 358

ISBN-13: 3319205471

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The topic of this book sits at the interface of the theory of higher categories (in the guise of (∞,1)-categories) and the theory of properads. Properads are devices more general than operads and enable one to encode bialgebraic, rather than just (co)algebraic, structures. The text extends both the Joyal-Lurie approach to higher categories and the Cisinski-Moerdijk-Weiss approach to higher operads, and provides a foundation for a broad study of the homotopy theory of properads. This work also serves as a complete guide to the generalised graphs which are pervasive in the study of operads and properads. A preliminary list of potential applications and extensions comprises the final chapter. Infinity Properads and Infinity Wheeled Properads is written for mathematicians in the fields of topology, algebra, category theory, and related areas. It is written roughly at the second year graduate level, and assumes a basic knowledge of category theory.

Relationships to Infinity

Relationships to Infinity PDF

Author: Jason Levin

Publisher: New Degree Press

Published: 2021-12-20

Total Pages: 124

ISBN-13: 9781637306932

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Relationships to Infinity: The Art and Science of Keeping in Touch is both a social science-based and practical guide to helping you get better at keeping in touch. In Jason Levin's debut book you will learn about the intersection of connection and reconnection. You'll hear stories such as: An accomplished attorney who rekindled prior relationships to land her first public sector General Counsel role. An introverted CPA who built authentic relationships, allowing her to develop a real estate practice leading to an executive role within a Fortune 500 financial services company. An investment banker who co-founded a boutique advisory firm, using an authentic relationship-building approach. Relationships to Infinity belongs on the bookshelf of every executive and aspiring executive who wants to take a fresh approach to networking and build lasting professional relationships.

Photons In Fock Space And Beyond (In 3 Volumes)

Photons In Fock Space And Beyond (In 3 Volumes) PDF

Author: Reinhard Honegger

Publisher: World Scientific

Published: 2015-04-22

Total Pages: 2353

ISBN-13: 9814618853

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The three-volume major reference “Photons in Fock Space and Beyond” undertakes a new mathematical and conceptual foundation of the theory of light emphasizing mesoscopic radiation systems. The quantum optical notions are generalized beyond Fock representations where the richness of an infinite dimensional quantum field system, with its mathematical difficulties and theoretical possibilities, is fully taken into account. It aims at a microscopic formulation of a mesoscopic model class which covers in principle all stages of the generation and propagation of light within a unified and well-defined conceptual frame.The dynamics of the interacting systems is founded — according to original works of the authors — on convergent perturbation series and describes the developments of the quantized microscopic as well as the classical collective degrees of freedom at the same time. The achieved theoretical unification fits especially to laser and microwave applications inheriting objective information over quantum noise.A special advancement is the incorporation of arbitrary multiply connected cavities where ideal conductor boundary conditions are imposed. From there arises a new category of classical and quantized field parts, apparently not treated in Quantum Electrodynamics before. In combination with gauge theory, the additional “cohomological fields” explain topological quantum effects in superconductivity. Further applications are to be expected for optoelectronic and optomechanical systems.

Topology and Geometric Group Theory

Topology and Geometric Group Theory PDF

Author: Michael W. Davis

Publisher: Springer

Published: 2016-09-14

Total Pages: 174

ISBN-13: 3319436740

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This book presents articles at the interface of two active areas of research: classical topology and the relatively new field of geometric group theory. It includes two long survey articles, one on proofs of the Farrell–Jones conjectures, and the other on ends of spaces and groups. In 2010–2011, Ohio State University (OSU) hosted a special year in topology and geometric group theory. Over the course of the year, there were seminars, workshops, short weekend conferences, and a major conference out of which this book resulted. Four other research articles complement these surveys, making this book ideal for graduate students and established mathematicians interested in entering this area of research.

Processes, Terms and Cycles: Steps on the Road to Infinity

Processes, Terms and Cycles: Steps on the Road to Infinity PDF

Author: Aart Middeldorp

Publisher: Springer

Published: 2005-12-11

Total Pages: 655

ISBN-13: 3540324259

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This Festschrift is dedicated to Jan Willem Klop on the occasion of his 60th birthday. The volume comprises a total of 23 scientific papers by close friends and colleagues, written specifically for this book. The papers are different in nature: some report on new research, others have the character of a survey, and again others are mainly expository. Every contribution has been thoroughly refereed at least twice. In many cases the first round of referee reports led to significant revision of the original paper, which was again reviewed. The articles especially focus upon the lambda calculus, term rewriting and process algebra, the fields to which Jan Willem Klop has made fundamental contributions.

Modeling Complex Systems

Modeling Complex Systems PDF

Author: Nino Boccara

Publisher: Springer Science & Business Media

Published: 2004

Total Pages: 398

ISBN-13: 0387404627

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This book explores the process of modelling complex systems, drawing on examples from such diverse fields as ecology, epidemiology, sociology, seismology, as well as economics. This is the first text on the subject to draw comprehensive conclusions from such a wide range of analogous phenomena.