Classical Complex Analysis

Scattering theory provides a framework for understanding the scattering of waves and particles. This book presents a simple physical picture of diffractive nuclear scattering in terms of semi-classical trajectories, illustrated throughout with examples and case studies. Trajectories in a complex impact parameter plane are discussed, and it stresses the importance of the analytical properties of the phase shift function in this complex impact plane in the asymptotic limit. Several new rainbow phenomena are also discussed and illustrated. Written by Nobel Prize winner Roy J. Glauber, and Per Osland, an expert in the field of particle physics, the book illustrates the transition from quantum to classical scattering, and provides a valuable resource for researchers using scattering theory in nuclear, particle, atomic and molecular physics.

This is the first book to provide a comprehensive overview of foundational results and recent progress in the study of random matrices from the classical compact groups, drawing on the subject's deep connections to geometry, analysis, algebra, physics, and statistics. The book sets a foundation with an introduction to the groups themselves and six different constructions of Haar measure. Classical and recent results are then presented in a digested, accessible form, including the following: results on the joint distributions of the entries; an extensive treatment of eigenvalue distributions, including the Weyl integration formula, moment formulae, and limit theorems and large deviations for the spectral measures; concentration of measure with applications both within random matrix theory and in high dimensional geometry; and results on characteristic polynomials with connections to the Riemann zeta function. This book will be a useful reference for researchers and an accessible introdu

Intractability is a growing concern across the cognitive sciences: while many models of cognition can describe and predict human behavior in the lab, it remains unclear how these models can scale to situations of real-world complexity. Cognition and Intractability is the first book to provide an accessible introduction to computational complexity analysis and its application to questions of intractability in cognitive science. Covering both classical and parameterized complexity analysis, it introduces the mathematical concepts and proof techniques that can be used to test one's intuition of (in)tractability. It also describes how these tools can be applied to cognitive modeling to deal with intractability, and its ramifications, in a systematic way. Aimed at students and researchers in philosophy, cognitive neuroscience, psychology, artificial intelligence, and linguistics who want to build a firm understanding of intractability and its implications in their modeling work, it is an id

Intractability is a growing concern across the cognitive sciences: while many models of cognition can describe and predict human behavior in the lab, it remains unclear how these models can scale to situations of real-world complexity. Cognition and Intractability is the first book to provide an accessible introduction to computational complexity analysis and its application to questions of intractability in cognitive science. Covering both classical and parameterized complexity analysis, it introduces the mathematical concepts and proof techniques that can be used to test one's intuition of (in)tractability. It also describes how these tools can be applied to cognitive modeling to deal with intractability, and its ramifications, in a systematic way. Aimed at students and researchers in philosophy, cognitive neuroscience, psychology, artificial intelligence, and linguistics who want to build a firm understanding of intractability and its implications in their modeling work, it is an id

Classical field theory predicts how physical fields interact with matter, and is a logical precursor to quantum field theory. This introduction focuses purely on modern classical field theory, helping graduates and researchers build an understanding of classical field theory methods before embarking on future studies in quantum field theory. It describes various classical methods for fields with negligible quantum effects, for instance electromagnetism and gravitational fields. It focuses on solutions that take advantage of classical field theory methods as opposed to applications or geometric properties. Other fields covered includes fermionic fields, scalar fields and Chern–Simons fields. Methods such as symmetries, global and local methods, Noether theorem and energy momentum tensor are also discussed, as well as important solutions of the classical equations, in particular soliton solutions.

Of all the divinities of classical antiquity, the Greek Hermes (Mercury in his Roman alter ego) is the most versatile, enigmatic, complex, and ambiguous. The runt of the Olympian litter, he is the god

Providing an in-depth introduction to fundamental classical and non-classical logics, this textbook offers a comprehensive survey of logics for computer scientists. Logics for Computer Science&nb

This monograph develops an operator viewpoint for functional equations in classical function spaces of analysis, thus filling a void in the mathematical literature. Major constructions or operati

This book brings the state-of-the-science together for Distributed Cognition (DCOG) in complex socio-technical systems. It introduces the latest thinking on the Event Analysis of Systemic Teamwork (EA

In Mughal Occidentalism, Mika Natif elucidates the meaningful and complex ways in which Mughal artists repurposed Christian and Renaissance visual idioms to embody themes from classical Persian litera

This book introduces recent results on output synchronization of complex dynamical networks with single and multiple weights. It discusses novel research ideas and a number of definitions in complex d

In such a vast and complex country, studying regional development is a useful tool for understanding China. This book covers the development of Beijing, providing a comprehensive analysis of the regio

This monograph offers an introduction to finite Blaschke products and their connections to complex analysis, linear algebra, operator theory, matrix analysis, and other fields. Old favorites suc

Building on the best-selling tradition of previous editions, Classical Mythology, Eleventh Edition, is the most comprehensive survey of classical mythology available--and the first full-color textbook

This volume compiles notes from four mini courses given at the summer school on asymptotic analysis in general relativity, held at the Institut Fourier in Grenoble, France. It contains an up-to-date panorama of modern techniques in the asymptotic analysis of classical and quantum fields in general relativity. Accessible to graduate students, these notes gather results that were not previously available in textbooks or monographs and will be of wider interest to researchers in general relativity. The topics of these mini courses are: the geometry of black hole spacetimes; an introduction to quantum field theory on curved spacetimes; conformal geometry and tractor calculus; and microlocal analysis for wave propagation.

Evidence-based Clinical Chinese Medicine provides a "whole evidence" analysis of the Chinese medicine management of allergic rhinitis. Evidence from the classical Chinese medicine literature

An engaging, thought-provoking, illustrated analysis of the classical principles of ethics applied to everyday dilemmas.Ethics: The Art of Character is the quintessential little book of big ideas. It

This book explores the idea of social class in the liberal tradition. It collects classical and contemporary texts illustrating and examining the liberal origins of class analysis—often associated wit

This two-volume text provides a complete overview of the theory of Banach spaces, emphasising its interplay with classical and harmonic analysis (particularly Sidon sets) and probability. The authors give a full exposition of all results, as well as numerous exercises and comments to complement the text and aid graduate students in functional analysis. The book will also be an invaluable reference volume for researchers in analysis. Volume 1 covers the basics of Banach space theory, operatory theory in Banach spaces, harmonic analysis and probability. The authors also provide an annex devoted to compact Abelian groups. Volume 2 focuses on applications of the tools presented in the first volume, including Dvoretzky's theorem, spaces without the approximation property, Gaussian processes, and more. Four leading experts also provide surveys outlining major developments in the field since the publication of the original French edition.

This two-volume text provides a complete overview of the theory of Banach spaces, emphasising its interplay with classical and harmonic analysis (particularly Sidon sets) and probability. The authors give a full exposition of all results, as well as numerous exercises and comments to complement the text and aid graduate students in functional analysis. The book will also be an invaluable reference volume for researchers in analysis. Volume 1 covers the basics of Banach space theory, operatory theory in Banach spaces, harmonic analysis and probability. The authors also provide an annex devoted to compact Abelian groups. Volume 2 focuses on applications of the tools presented in the first volume, including Dvoretzky's theorem, spaces without the approximation property, Gaussian processes, and more. In volume 2, four leading experts also provide surveys outlining major developments in the field since the publication of the original French edition.

Evidence-based Clinical Chinese Medicine provides a "whole evidence" analysis of the Chinese medicine management of herpes zoster and post-herpetic neuralgia. Evidence from the classical Chi

In contrast to orthodox theory, Howard Botwinick uses a classical Marxist analysis of real capitalist competition to show that substantial patterns of wage disparity among similar workers can persist

This textbook is designed to give an engaging introduction to statistics and the art of data analysis. The unique scope includes, but also goes beyond, classical methodology associated with the normal

The International Encyclopedia of Communication Research Methods covers all communication research methods, from data collection to data analysis, from qualitative to quantitative, and from classical

NMR Case Studies: Data Analysis of Complicated Molecules provides a detailed discussion of the full logical flow associated with assigning the NMR spectra of complex molecules, also helping readers fu

Over the past decade, Cognitive Work Analysis (CWA) has been one of the popular human factors approaches for complex systems evaluation and design applications. This is reflected by a diverse range of

Evidence-based Clinical Chinese Medicine provides a "whole evidence" analysis of the Chinese medicine management of insomnia. Evidence from the classical Chinese medicine literature, contemp

The Classical Guitar Collection contains 48 classical guitar solos from classical greats such as Mozart, Grieg, Purcell, and J. S. Bach. This collection features many of Julian Bream's classic arrange

Evidence-based Clinical Chinese Medicine: Adult Asthma provides a "whole evidence" analysis of the Chinese medicine management of adult asthma. Evidence from the classical Chinese medicine l

Evidence-based Clinical Chinese Medicine: Adult Asthma provides a "whole evidence" analysis of the Chinese medicine management of adult asthma. Evidence from the classical Chinese medicine l

A classical, contemporary example of the theological mind at its clearest is Nicholas Lash’s Easter in Ordinary. This complex, distilled, but deeply affecting study of William James, Newman, von Hügel

The "cocktail party" is the classical example of a complex listening environment. Listeners attempt to understand the speech stream from a selected talker amidst a cacophony of speech sounds from othe

Summarizing a half century of work on the problem of identifying units of analysis for complex human behaviour, this book introduces modes of practice as a unit of analysis for the science and design

Psychology of Learning and Motivation publishes empirical and theoretical contributions in cognitive and experimental psychology, ranging from classical and instrumental conditioning, to complex learn

Broadly organized around the applications of Fourier analysis, "Methods of Applied Mathematics with a MATLAB Overview" covers both classical applications in partial differential equations and bou

An H(b) space is defined as a collection of analytic functions that are in the image of an operator. The theory of H(b) spaces bridges two classical subjects, complex analysis and operator theory, which makes it both appealing and demanding. Volume 1 of this comprehensive treatment is devoted to the preliminary subjects required to understand the foundation of H(b) spaces, such as Hardy spaces, Fourier analysis, integral representation theorems, Carleson measures, Toeplitz and Hankel operators, various types of shift operators and Clark measures. Volume 2 focuses on the central theory. Both books are accessible to graduate students as well as researchers: each volume contains numerous exercises and hints, and figures are included throughout to illustrate the theory. Together, these two volumes provide everything the reader needs to understand and appreciate this beautiful branch of mathematics.

This updated book includes meiosis methods ranging from classical genetic approaches with budding yeast to high resolution microscopy and computational methods for the analysis of recombination and mo

Psychology of Learning and Motivation publishes empirical and theoretical contributions in cognitive and experimental psychology, ranging from classical and instrumental conditioning, to complex learn

Evidence-based Clinical Chinese Medicine provides a "whole evidence" analysis of the Chinese medicine management of chronic urticaria. The inclusion of classical Chinese medicine literature,

Evidence-based Clinical Chinese Medicine provides a "whole evidence" analysis of the Chinese medicine management of chronic urticaria. The inclusion of classical Chinese medicine literature,