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Author : Tyler Taerum
Publisher :
ISBN 13 :
Total Pages : 0 pages
Book Rating : 4.:/5 (466 download)
Download or read book Extending Conjugation in 2-dimensions written by Tyler Taerum and published by . This book was released on 2008 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Tommaso Baldacchini
Publisher : William Andrew
ISBN 13 : 0128178280
Total Pages : 766 pages
Book Rating : 4.1/5 (281 download)
Download or read book Three-Dimensional Microfabrication Using Two-Photon Polymerization written by Tommaso Baldacchini and published by William Andrew. This book was released on 2019-10-31 with total page 766 pages. Available in PDF, EPUB and Kindle. Book excerpt: Three-Dimensional Microfabrication Using Two-Photon Polymerization, Second Edition offers a comprehensive guide to TPP microfabrication and a unified description of TPP microfabrication across disciplines. It offers in-depth discussion and analysis of all aspects of TPP, including the necessary background, pros and cons of TPP microfabrication, material selection, equipment, processes and characterization. Current and future applications are covered, along with case studies that illustrate the book's concepts. This new edition includes updated chapters on metrology, synthesis and the characterization of photoinitiators used in TPP, negative- and positive-tone photoresists, and nonlinear optical characterization of polymers. This is an important resource that will be useful for scientists involved in microfabrication, generation of micro- and nano-patterns and micromachining. Discusses the major types of nanomaterials used in the agriculture and forestry sectors, exploring how their properties make them effective for specific applications Explores the design, fabrication, characterization and applications of nanomaterials for new Agri-products Offers an overview of regulatory aspects regarding the use of nanomaterials for agriculture and forestry
Author : Peter West
Publisher : World Scientific Publishing Company
ISBN 13 : 981310371X
Total Pages : 439 pages
Book Rating : 4.8/5 (131 download)
Download or read book Introduction To Supersymmetry And Supergravity (Revised And Extended 2nd Edition) written by Peter West and published by World Scientific Publishing Company. This book was released on 1990-05-01 with total page 439 pages. Available in PDF, EPUB and Kindle. Book excerpt: The publication of the first edition of “Introduction to Supersymmetry and Supergravity” was a remarkable success. This second edition contains a substantial amount of new material especially on two-dimensional supersymmetry algebras, their irreducible representations as well as rigid and local (i.e. supergravity) theories of 2-dimensional supersymmetry both in x-space and superspace. These theories include the actions for the superstring and the heterotic string. In addition, a chapter is devoted to a discussion on superconformal algebras in two dimensions and contains an account of super operator product expansion.
Author : Serge? Vladimirovich Ketov
Publisher : World Scientific
ISBN 13 : 9810216084
Total Pages : 502 pages
Book Rating : 4.8/5 (12 download)
Download or read book Conformal Field Theory written by Serge? Vladimirovich Ketov and published by World Scientific. This book was released on 1995 with total page 502 pages. Available in PDF, EPUB and Kindle. Book excerpt: Conformal field theory is an elegant and powerful theory in the field of high energy physics and statistics. In fact, it can be said to be one of the greatest achievements in the development of this field. Presented in two dimensions, this book is designed for students who already have a basic knowledge of quantum mechanics, field theory and general relativity. The main idea used throughout the book is that conformal symmetry causes both classical and quantum integrability. Instead of concentrating on the numerous applications of the theory, the author puts forward a discussion of the general methods of conformal field theory as a physical theory. Hence the book provides in a self-contained way the necessary knowledge and ?conformal? intuition which underline the various applications of conformal field theory. It is aimed to assist students and professionals in the study of the theory from its first principles and in applying the methods in their own research. The first of its kind, this book promises to give a detailed and comprehensive insight into the workings of conformal field theory.
Author : John N. Bray
Publisher : Cambridge University Press
ISBN 13 : 0521138604
Total Pages : 453 pages
Book Rating : 4.5/5 (211 download)
Download or read book The Maximal Subgroups of the Low-Dimensional Finite Classical Groups written by John N. Bray and published by Cambridge University Press. This book was released on 2013-07-25 with total page 453 pages. Available in PDF, EPUB and Kindle. Book excerpt: Classifies the maximal subgroups of the finite groups of Lie type up to dimension 12, using theoretical and computational methods.
Author : Erhard Neher
Publisher : American Mathematical Soc.
ISBN 13 : 082185237X
Total Pages : 226 pages
Book Rating : 4.8/5 (218 download)
Download or read book Geometric Representation Theory and Extended Affine Lie Algebras written by Erhard Neher and published by American Mathematical Soc.. This book was released on 2011 with total page 226 pages. Available in PDF, EPUB and Kindle. Book excerpt: Lie theory has connections to many other disciplines such as geometry, number theory, mathematical physics, and algebraic combinatorics. The interaction between algebra, geometry and combinatorics has proven to be extremely powerful in shedding new light on each of these areas. This book presents the lectures given at the Fields Institute Summer School on Geometric Representation Theory and Extended Affine Lie Algebras held at the University of Ottawa in 2009. It provides a systematic account by experts of some of the exciting developments in Lie algebras and representation theory in the last two decades. It includes topics such as geometric realizations of irreducible representations in three different approaches, combinatorics and geometry of canonical and crystal bases, finite $W$-algebras arising as the quantization of the transversal slice to a nilpotent orbit, structure theory of extended affine Lie algebras, and representation theory of affine Lie algebras at level zero. This book will be of interest to mathematicians working in Lie algebras and to graduate students interested in learning the basic ideas of some very active research directions. The extensive references in the book will be helpful to guide non-experts to the original sources.
Author : Emil Artin
Publisher : American Mathematical Soc.
ISBN 13 : 9780821869512
Total Pages : 206 pages
Book Rating : 4.8/5 (695 download)
Download or read book Class Field Theory written by Emil Artin and published by American Mathematical Soc.. This book was released on 1968 with total page 206 pages. Available in PDF, EPUB and Kindle. Book excerpt: This classic book, originally published in 1968, is based on notes of a year-long seminar the authors ran at Princeton University. The primary goal of the book was to give a rather complete presentation of algebraic aspects of global class field theory ... In this revised edition, two mathematical additions complementing the exposition of the original text are made. The new edition also contains several new footnotes, additional references, and historical comments.
Author : Boris Khesin
Publisher : Springer Science & Business Media
ISBN 13 : 3540772634
Total Pages : 304 pages
Book Rating : 4.5/5 (47 download)
Download or read book The Geometry of Infinite-Dimensional Groups written by Boris Khesin and published by Springer Science & Business Media. This book was released on 2008-09-28 with total page 304 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph gives an overview of various classes of infinite-dimensional Lie groups and their applications in Hamiltonian mechanics, fluid dynamics, integrable systems, gauge theory, and complex geometry. The text includes many exercises and open questions.
Author : Grant Walker
Publisher : Cambridge University Press
ISBN 13 : 1108355927
Total Pages : 381 pages
Book Rating : 4.1/5 (83 download)
Download or read book Polynomials and the mod 2 Steenrod Algebra: Volume 2, Representations of GL (n,F2) written by Grant Walker and published by Cambridge University Press. This book was released on 2017-11-09 with total page 381 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the first book to link the mod 2 Steenrod algebra, a classical object of study in algebraic topology, with modular representations of matrix groups over the field F of two elements. The link is provided through a detailed study of Peterson's `hit problem' concerning the action of the Steenrod algebra on polynomials, which remains unsolved except in special cases. The topics range from decompositions of integers as sums of 'powers of 2 minus 1', to Hopf algebras and the Steinberg representation of GL(n, F). Volume 1 develops the structure of the Steenrod algebra from an algebraic viewpoint and can be used as a graduate-level textbook. Volume 2 broadens the discussion to include modular representations of matrix groups.
Author : Alex Lubotzky
Publisher : Springer Science & Business Media
ISBN 13 : 3034603320
Total Pages : 201 pages
Book Rating : 4.0/5 (346 download)
Download or read book Discrete Groups, Expanding Graphs and Invariant Measures written by Alex Lubotzky and published by Springer Science & Business Media. This book was released on 2010-02-17 with total page 201 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the last ?fteen years two seemingly unrelated problems, one in computer science and the other in measure theory, were solved by amazingly similar techniques from representation theory and from analytic number theory. One problem is the - plicit construction of expanding graphs («expanders»). These are highly connected sparse graphs whose existence can be easily demonstrated but whose explicit c- struction turns out to be a dif?cult task. Since expanders serve as basic building blocks for various distributed networks, an explicit construction is highly des- able. The other problem is one posed by Ruziewicz about seventy years ago and studied by Banach [Ba]. It asks whether the Lebesgue measure is the only ?nitely additive measure of total measure one, de?ned on the Lebesgue subsets of the n-dimensional sphere and invariant under all rotations. The two problems seem, at ?rst glance, totally unrelated. It is therefore so- what surprising that both problems were solved using similar methods: initially, Kazhdan’s property (T) from representation theory of semi-simple Lie groups was applied in both cases to achieve partial results, and later on, both problems were solved using the (proved) Ramanujan conjecture from the theory of automorphic forms. The fact that representation theory and automorphic forms have anything to do with these problems is a surprise and a hint as well that the two questions are strongly related.
Author : Grant Walker (Mathematician)
Publisher : Cambridge University Press
ISBN 13 : 1108414451
Total Pages : 381 pages
Book Rating : 4.1/5 (84 download)
Download or read book Polynomials and the mod 2 Steenrod Algebra written by Grant Walker (Mathematician) and published by Cambridge University Press. This book was released on 2018 with total page 381 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the first book to link the mod 2 Steenrod algebra, a classical object of study in algebraic topology, with modular representations of matrix groups over the field F of two elements. The link is provided through a detailed study of Peterson's 'hit problem' concerning the action of the Steenrod algebra on polynomials, which remains unsolved except in special cases. The topics range from decompositions of integers as sums of 'powers of 2 minus 1', to Hopf algebras and the Steinberg representation of GL(n,F). Volume 1 develops the structure of the Steenrod algebra from an algebraic viewpoint and can be used as a graduate-level textbook. Volume 2 broadens the discussion to include modular representations of matrix groups.
Author : Ali Reza Ashrafi
Publisher : Springer Science & Business Media
ISBN 13 : 9400764138
Total Pages : 584 pages
Book Rating : 4.4/5 (7 download)
Download or read book Topological Modelling of Nanostructures and Extended Systems written by Ali Reza Ashrafi and published by Springer Science & Business Media. This book was released on 2013-05-19 with total page 584 pages. Available in PDF, EPUB and Kindle. Book excerpt: Topological Modelling of Nanostructures and Extended Systems completes and expands upon the previously published title within this series: The Mathematics and Topology of Fullerenes (Vol. 4, 2011) by gathering the latest research and advances in materials science at nanoscale. It introduces a new speculative area and novel concepts like topochemical reactions and colored reactive topological indices and provides a better understanding of the physical-chemical behaviors of extended systems. Moreover, a charming new family of space-filling fullerenic crystals is here analyzed for the first time. Particular attention is given to the fundamental influences exercised by long-range connectivity topological mechanisms on the chemical and physical properties of carbon nanostructures. Systems consisting in graphenic layers with structural and topological defects are investigated in their electronic and magnetic behaviors also in presence of metallic particles. More specifically, the book focuses on: - Electronic Properties of low dimensional nanostructures including negatively-curved carbon surfaces; Pariser-Parr-Pople model hamiltonian approach to graphene studies; - Topochemistry and Toporeactcivity of extended sp2-nanocarbons: PAH, fullerenes, nanoribbons, Moebius-like nanoribbons, nanotubes and grapheme; - Novel class of crystal networks arising from spanning fullerenes; - Nanostructures and eigenvectors of matrices and an extended treatise of topological invariants; - Enumeration hetero-fullerenes by Polya theory. Topological Modelling of Nanostructures and Extended Systems represents a valuable resource to advances graduates and researchers working in mathematics, chemistry, physics and material science.
Author : Daniel S. Freed
Publisher : American Mathematical Soc.
ISBN 13 : 1470452065
Total Pages : 186 pages
Book Rating : 4.4/5 (74 download)
Download or read book Lectures on Field Theory and Topology written by Daniel S. Freed and published by American Mathematical Soc.. This book was released on 2019-08-23 with total page 186 pages. Available in PDF, EPUB and Kindle. Book excerpt: These lectures recount an application of stable homotopy theory to a concrete problem in low energy physics: the classification of special phases of matter. While the joint work of the author and Michael Hopkins is a focal point, a general geometric frame of reference on quantum field theory is emphasized. Early lectures describe the geometric axiom systems introduced by Graeme Segal and Michael Atiyah in the late 1980s, as well as subsequent extensions. This material provides an entry point for mathematicians to delve into quantum field theory. Classification theorems in low dimensions are proved to illustrate the framework. The later lectures turn to more specialized topics in field theory, including the relationship between invertible field theories and stable homotopy theory, extended unitarity, anomalies, and relativistic free fermion systems. The accompanying mathematical explanations touch upon (higher) category theory, duals to the sphere spectrum, equivariant spectra, differential cohomology, and Dirac operators. The outcome of computations made using the Adams spectral sequence is presented and compared to results in the condensed matter literature obtained by very different means. The general perspectives and specific applications fuse into a compelling story at the interface of contemporary mathematics and theoretical physics.
Author : Robert M. Metzger
Publisher : Springer Science & Business Media
ISBN 13 : 1489920889
Total Pages : 729 pages
Book Rating : 4.4/5 (899 download)
Download or read book Lower-Dimensional Systems and Molecular Electronics written by Robert M. Metzger and published by Springer Science & Business Media. This book was released on 2013-11-11 with total page 729 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume represents the written account of the NATO Advanced Study Institute "Lower-Dimensional Systems and Molecular Electronics" held at Hotel Spetses, Spetses Island, Greece from 12 June to 23 June 1989. The goal of the Institute was to demonstrate the breadth of chemical and physical knowledge that has been acquired in the last 20 years in inorganic and organic crystals, polymers, and thin films, which exhibit phenomena of reduced dimensionality. The interest in these systems started in the late 1960's with lower-dimensional inorganic conductors, in the early 1970's with quasi-one-dimensional crystalline organic conductors. which by 1979 led to the first organic superconductors, and, in 1977, to the fITSt conducting polymers. The study of monolayer films (Langmuir-Blodgett films) had progressed since the 1930's, but reached a great upsurge in . the early 1980's. The pursuit of non-linear optical phenomena became increasingly popular in the early 1980's, as the attention turned from inorganic crystals to organic films and polymers. And in the last few years the term "moleculw' electronics" has gained ever-increasing acceptance, although it is used in several contexts. We now have organic superconductors with critical temperatures in excess of 10 K, conducting polymers that are soluble and processable, and used commercially; we have films of a few monolayers that have high in-plane electrical conductivity, and polymers that show great promise in photonics; we even have a few devices that function almost at the molecular level.
Author : Peter Robert Kotiuga
Publisher : American Mathematical Soc.
ISBN 13 : 082188381X
Total Pages : 418 pages
Book Rating : 4.8/5 (218 download)
Download or read book A Celebration of the Mathematical Legacy of Raoul Bott written by Peter Robert Kotiuga and published by American Mathematical Soc.. This book was released on 2010-01-01 with total page 418 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Michael A. Dritschel
Publisher : Springer Science & Business Media
ISBN 13 : 3764379804
Total Pages : 405 pages
Book Rating : 4.7/5 (643 download)
Download or read book The Extended Field of Operator Theory written by Michael A. Dritschel and published by Springer Science & Business Media. This book was released on 2007-06-25 with total page 405 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains contributions originating from the International Workshop on Operator Theory and Its Applications (IWOTA) held in Newcastle upon Tyne in July 2004. The articles expertly cover a broad range of material at the cutting edge of functional analysis and its applications. The works are written by world authorities in their specialities.
Author : Olivier Collin
Publisher : American Mathematical Soc.
ISBN 13 : 147045209X
Total Pages : 353 pages
Book Rating : 4.4/5 (74 download)
Download or read book Characters in Low-Dimensional Topology written by Olivier Collin and published by American Mathematical Soc.. This book was released on 2020-12-14 with total page 353 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the proceedings of a conference celebrating the work of Steven Boyer, held from June 2–6, 2018, at Université du Québec à Montréal, Montréal, Québec, Canada. Boyer's contributions to research in low-dimensional geometry and topology, and to the Canadian mathematical community, were recognized during the conference. The articles cover a broad range of topics related, but not limited, to the topology and geometry of 3-manifolds, properties of their fundamental groups and associated representation varieties.
