Structured Ring Spectra PDF Download

Author: Andrew Baker
Publisher: Cambridge University Press
ISBN: 9780521603058
Category : Mathematics
Languages : en
Pages : 246

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Book Description
This book contains some important new contributions to the theory of structured ring spectra.

Author: Lloyd N. Trefethen
Publisher: Princeton University Press
ISBN: 0691213100
Category : Mathematics
Languages : en
Pages : 626

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Book Description
Pure and applied mathematicians, physicists, scientists, and engineers use matrices and operators and their eigenvalues in quantum mechanics, fluid mechanics, structural analysis, acoustics, ecology, numerical analysis, and many other areas. However, in some applications the usual analysis based on eigenvalues fails. For example, eigenvalues are often ineffective for analyzing dynamical systems such as fluid flow, Markov chains, ecological models, and matrix iterations. That's where this book comes in. This is the authoritative work on nonnormal matrices and operators, written by the authorities who made them famous. Each of the sixty sections is written as a self-contained essay. Each document is a lavishly illustrated introductory survey of its topic, complete with beautiful numerical experiments and all the right references. The breadth of included topics and the numerous applications that provide links between fields will make this an essential reference in mathematics and related sciences.

Author: Murray A. Marshall
Publisher: Springer
ISBN: 3540699961
Category : Mathematics
Languages : en
Pages : 191

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Book Description
This book is of interest to students as well as experts in the area of real algebraic geometry, quadratic forms, orderings, valuations, lattice ordered groups and rings, and in model theory. The original motivation comes from orderings on fields and commutative rings. This is explained as is the important application to minimal generation of semi-algebraic sets. Many results in the new theory of abstract real spectra (also called spaces of signs) appear here for the first time. The reader needs elementary knowledge of commutative rings, ordered fields and real closed fields and valuations.

Author: Michael Demuth
Publisher: Springer Science & Business Media
ISBN: 0817644393
Category : Mathematics
Languages : en
Pages : 224

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Book Description
This work focuses on various known criteria in the spectral theory of selfadjoint operators. The concise, unified presentation is aimed at graduate students and researchers working in the spectral theory of Schrodinger operators with either fixed or random potentials. But given the large gap this book fills in the literature, it will serve a wider audience of mathematical physicists in its contribution to works in spectral theory.

Author: E. Brian Davies
Publisher: Cambridge University Press
ISBN: 1139464337
Category : Mathematics
Languages : en
Pages : 436

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Book Description
This wide ranging but self-contained account of the spectral theory of non-self-adjoint linear operators is ideal for postgraduate students and researchers, and contains many illustrative examples and exercises. Fredholm theory, Hilbert-Schmidt and trace class operators are discussed, as are one-parameter semigroups and perturbations of their generators. Two chapters are devoted to using these tools to analyze Markov semigroups. The text also provides a thorough account of the new theory of pseudospectra, and presents the recent analysis by the author and Barry Simon of the form of the pseudospectra at the boundary of the numerical range. This was a key ingredient in the determination of properties of the zeros of certain orthogonal polynomials on the unit circle. Finally, two methods, both very recent, for obtaining bounds on the eigenvalues of non-self-adjoint Schrodinger operators are described. The text concludes with a description of the surprising spectral properties of the non-self-adjoint harmonic oscillator.

Author: Peter F. Bernath
Publisher: Oxford University Press
ISBN: 0190095415
Category : Science
Languages : en
Pages : 542

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Book Description
This fourth edition of Peter Bernath's successful Spectra of Atoms and Molecules is designed to provide advanced undergraduate and graduate students a working knowledge of the vast field of spectroscopy. Also of interest to chemists, physicists, astronomers, atmospheric scientists, and engineers, this volume emphasizes the fundamental principles of spectroscopy with the primary goal of teaching the interpretation of spectra. Features include a presentation of group theory as needed to understand spectroscopy, detailed worked examples and a large number of excellent problems at the end of each chapter. Bernath provides a large number of diagrams and spectra which have been specifically recorded for this book. Molecular symmetry, matrix representation of groups, quantum mechanics, and group theory are among the topics covered; atomic, rotational, vibrational, electronic and Raman spectra are analyzed as well. Bernath's treatment clears the confusing topic of line strengths as needed for quantitative applications. Responding to student requests, the fourth addition features detailed and worked examples in each chapter. This book has also been updated to include the 2018 CODATA revision of physical constants and a large number of corrections and clarifications. New chapters on atmospheric and astronomical spectroscopy have been added. Spectra of Atoms and Molecules demystifies spectroscopy by showing readers the intermediate steps in a derivation, as well as the final result.

Author: Edward Maslowsky, Jr.
Publisher: John Wiley & Sons
ISBN: 1119404657
Category : Science
Languages : en
Pages : 730

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Book Description
A comprehensive compilation of the available experimental and theoretical vibrational data for organometallic compounds and its role in evaluating the structures, bonding, and properties of these key compounds This unique book offers a thorough review of the literature dealing with vibrational data obtained using various phases, including matrices, reported for organometallic compounds from infrared spectra, Raman spectra, and several other techniques. It is the only one that compiles the available experimental and theoretical vibrational data on these compounds, and which discusses the importance of this information and its role in evaluating structures, bonding, and other important properties. It also treats the use of DFT and other theoretical calculations to analyze the vibrational data and to predict properties associated with these compounds. The book also includes vibrational data for organic species that form on metal and other surfaces. Vibrational Spectra of Organometallics: Theoretical and Experimental Data offers complete coverage of: Carbide, Alkylidyne, Alkylidene, Alkyl, and Alkane Derivatives; Noncyclic Carbon Clusters and Unsaturated Hydrocarbon Derivatives; and Cyclic, Unsaturated Organometallic Derivatives. By summarizing work that has already been done on organometallic compounds, it serves as an important reference for those studying their vibrational spectra and will, in the end, lead to a clearer understanding of other research that needs to be done in order to help researchers determine new research directions. An important reference for those studying the vibrational spectra of organometallic compounds Gathers the existing experimental and theoretical vibrational data and discusses its significance in assessing structures, bonding, and other principle properties Includes DFT methods for the interpretation of spectra, which has been one of the major developments of the last two decades Vibrational Spectra of Organometallics: Theoretical and Experimental Data is an important reference for researchers and practitioners in the areas of inorganic, organometallic, organic, and surface chemistry who have an interest in using vibrational data to characterize the bonding, composition, reactions, and structures of organometallic compounds, and organic species that are formed on various surfaces.

Author: Michael I. Gil
Publisher: Springer
ISBN: 3540452257
Category : Mathematics
Languages : en
Pages : 261

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Book Description
Operator Functions and Localization of Spectra is the first book that presents a systematic exposition of bounds for the spectra of various linear nonself-adjoint operators in a Hilbert space, having discrete and continuous spectra. In particular bounds for the spectra of integral, differential and integro-differential operators, as well as finite and infinite matrices are established. The volume also presents a systematic exposition of estimates for norms of operator-valued functions and their applications.

Author: Piet Van Mieghem
Publisher: Cambridge University Press
ISBN: 1009366785
Category : Computers
Languages : en
Pages : 538

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Book Description
This concise and self-contained introduction builds up the spectral theory of graphs from scratch, including linear algebra and the theory of polynomials. Covering several types of graphs, it provides the mathematical foundation needed to understand and apply spectral insight to real-world communications systems and complex networks.

Author: Jonelle Harvey
Publisher: Springer Science & Business Media
ISBN: 3319029762
Category : Science
Languages : en
Pages : 184

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Book Description
Jonelle Harvey's book outlines two related experimental techniques, threshold photoelectron spectroscopy and threshold photoelectron photoion coincidence techniques, which are utilised to investigate small halogenated molecules. All the experiments were conducted at the vacuum ultraviolet beamline of the Swiss Light Source, a synchrotron photon source, which has the advantage over popular laser photon-sources of extreme ease of tunability. Three studies are presented which combine experimental and computational ab initio approaches: studying the fast dissociations of halogenated methanes in order to construct a self-consistent thermochemical network; investigating the fragmentations of fluoroethenes from timebombs, which break apart very slowly but explosively, to fast dissociators; and uncovering how vital conical interactions underpin both the results of photoelectron spectra and dissociation patterns. The details included in this thesis are useful for researchers working in the same field and those readers wishing to obtain a solid introduction into the types of systems encountered in threshold photoelectron photoion coincidence spectroscopy.