A Basis Theory Primer
A Basis Theory Primer

Author: Christopher Heil

Publisher: Springer Science & Business Media

Published: 2011

Total Pages: 549

ISBN-13: 0817646868

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This textbook is a self-contained introduction to the abstract theory of bases and redundant frame expansions and their use in both applied and classical harmonic analysis. The four parts of the text take the reader from classical functional analysis and basis theory to modern time-frequency and wavelet theory. Extensive exercises complement the text and provide opportunities for learning-by-doing, making the text suitable for graduate-level courses. The self-contained presentation with clear proofs is accessible to graduate students, pure and applied mathematicians, and engineers interested in the mathematical underpinnings of applications.

Primer on Optimal Control Theory
Primer on Optimal Control Theory

Author: Jason L. Speyer

Publisher: SIAM

Published: 2010-05-13

Total Pages: 316

ISBN-13: 0898716942

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A rigorous introduction to optimal control theory, which will enable engineers and scientists to put the theory into practice.

Learning RFT
Learning RFT

Author: Niklas Torneke

Publisher: New Harbinger Publications

Published: 2010-11-01

Total Pages: 290

ISBN-13: 1572249080

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Relational frame theory, or RFT, is the little-understood behavioral theory behind a recent development in modern psychology: the shift from the cognitive paradigm underpinning cognitive behavioral therapy to a new understanding of language and cognition. Learning RFT presents a basic yet comprehensive introduction to this fascinating theory, which forms the basis of acceptance and commitment therapy. The book also offers practical guidance for directly applying it in clinical work. In the book, author Niklas Törneke presents the building blocks of RFT: language as a particular kind of relating, derived stimulus relations, and transformation of stimulus functions. He then shows how these concepts are essential to understanding acceptance and commitment therapy and other therapeutic models. Learning RFT shows how to use experiential exercises and metaphors in psychological treatment and explains how they can help your clients. This book belongs on the bookshelves of psychologists, psychotherapists, students, and others seeking to deepen their understanding of psychological treatment from a behavioral perspective.

A Primer to the Theory of Critical Phenomena
A Primer to the Theory of Critical Phenomena

Author: Jurgen M. Honig

Publisher: Elsevier

Published: 2018-02-05

Total Pages: 256

ISBN-13: 0128048360

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A Primer to the Theory of Critical Phenomena provides scientists in academia and industry, as well as graduate students in physics, chemistry, and geochemistry with the scientific fundamentals of critical phenomena and phase transitions. The book helps readers broaden their understanding of a field that has developed tremendously over the last forty years. The book also makes a great resource for graduate level instructors at universities. - Provides a thorough and accessible treatment of the fundamentals of critical phenomena - Offers an in-depth exposition on renormalization and field theory techniques - Includes experimental observations of critical effects - Includes live examples illustrating the applications of the theoretical material

A Mathematical Primer on Quantum Mechanics
A Mathematical Primer on Quantum Mechanics

Author: Alessandro Teta

Publisher: Springer

Published: 2018-04-17

Total Pages: 265

ISBN-13: 3319778935

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This book offers a rigorous yet elementary approach to quantum mechanics that will meet the needs of Master’s-level Mathematics students and is equally suitable for Physics students who are interested in gaining a deeper understanding of the mathematical structure of the theory. Throughout the coverage, which is limited to single-particle quantum mechanics, the focus is on formulating theory and developing applications in a mathematically precise manner. Following a review of selected key concepts in classical physics and the historical background, the basic elements of the theory of operators in Hilbert spaces are presented and used to formulate the rules of quantum mechanics. The discussion then turns to free particles, harmonic oscillators, delta potential, and hydrogen atoms, providing rigorous proofs of the corresponding dynamical properties. Starting from an analysis of these applications, readers are subsequently introduced to more advanced topics such as the classical limit, scattering theory, and spectral analysis of Schrödinger operators. The main content is complemented by numerous exercises that stimulate interactive learning and help readers check their progress.

A Primer on Mapping Class Groups
A Primer on Mapping Class Groups

Author: Benson Farb

Publisher: Princeton University Press

Published: 2012

Total Pages: 490

ISBN-13: 0691147949

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The study of the mapping class group Mod(S) is a classical topic that is experiencing a renaissance. It lies at the juncture of geometry, topology, and group theory. This book explains as many important theorems, examples, and techniques as possible, quickly and directly, while at the same time giving full details and keeping the text nearly self-contained. The book is suitable for graduate students. A Primer on Mapping Class Groups begins by explaining the main group-theoretical properties of Mod(S), from finite generation by Dehn twists and low-dimensional homology to the Dehn-Nielsen-Baer theorem. Along the way, central objects and tools are introduced, such as the Birman exact sequence, the complex of curves, the braid group, the symplectic representation, and the Torelli group. The book then introduces Teichmüller space and its geometry, and uses the action of Mod(S) on it to prove the Nielsen-Thurston classification of surface homeomorphisms. Topics include the topology of the moduli space of Riemann surfaces, the connection with surface bundles, pseudo-Anosov theory, and Thurston's approach to the classification.

Perturbation Theory for Linear Operators
Perturbation Theory for Linear Operators

Author: Aref Jeribi

Publisher: Springer Nature

Published: 2021-07-28

Total Pages: 509

ISBN-13: 981162528X

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This book discusses the important aspects of spectral theory, in particular, the completeness of generalised eigenvectors, Riesz bases, semigroup theory, families of analytic operators, and Gribov operator acting in the Bargmann space. Recent mathematical developments of perturbed non-self-adjoint operators are discussed with the completeness of the space of generalized eigenvectors, bases on Hilbert and Banach spaces and asymptotic behavior of the eigenvalues of these operators. Most results in the book are motivated by physical problems, such as the perturbation method for sound radiation by a vibrating plate in a light fluid, Gribov operator in Bargmann space and other applications in mathematical physics and mechanics. This book is intended for students, researchers in the field of spectral theory of linear non self-adjoint operators, pure analysts and mathematicians.

A Primer of Infinitesimal Analysis
A Primer of Infinitesimal Analysis

Author: John L. Bell

Publisher: Cambridge University Press

Published: 2008-04-07

Total Pages: 7

ISBN-13: 0521887186

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A rigorous, axiomatically formulated presentation of the 'zero-square', or 'nilpotent' infinitesimal.

The Public Policy Theory Primer
The Public Policy Theory Primer

Author: Kevin B. Smith

Publisher: Routledge

Published: 2018-05-15

Total Pages: 266

ISBN-13: 0429973985

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Public policy is a broad and interdisciplinary area of study and research in the field tends to reflect this. Yet for those teaching and studying public policy, the disjointed nature of the field can be confusing and cumbersome. This text provides a consistent and coherent framework for uniting the field of public policy. Authors Kevin B. Smith and Christopher W. Larimer offer an organized and comprehensive overview of the core questions and concepts, major theoretical frameworks, primary methodological approaches, and key controversies and debates in each subfield of policy studies from the policy process and policy analysis to program evaluation and policy implementation. The third edition has been updated throughout to include the latest scholarship and approaches in the field, including new and expanded coverage of behavioral economics, the narrative policy framework, Fourth Generation implementation studies, the policy regime approach, field experiments, and the debate of program versus policy implementation studies. Now with an appendix of sample comprehensive exam questions, The Public Policy Theory Primer remains an indispensable text for the systematic study of public policy.

Wavelet Structure and Design
Wavelet Structure and Design

Author: Daniel J. Greenhoe

Publisher: Abstract Space Publishing

Published: 2013-08-21

Total Pages: 451

ISBN-13: 0983801134

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This book presents the structure of wavelets, principles of wavelet design, and mathematical structure that supports wavelet theory.