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A Basis Theory Primer

A Basis Theory Primer PDF Author: Christopher Heil
Publisher: Springer Science & Business Media
ISBN: 0817646868
Category : Mathematics
Languages : en
Pages : 549

Book Description
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.

A Basis Theory Primer

A Basis Theory Primer PDF Author: Christopher Heil
Publisher: Springer Science & Business Media
ISBN: 0817646868
Category : Mathematics
Languages : en
Pages : 549

Book Description
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.

A Basis Theory Primer

A Basis Theory Primer PDF Author: Christopher Heil
Publisher:
ISBN:
Category : Banach spaces
Languages : en
Pages : 93

Book Description


Introduction to $p$-adic Analytic Number Theory

Introduction to $p$-adic Analytic Number Theory PDF Author: M. Ram Murty
Publisher: American Mathematical Soc.
ISBN: 0821847740
Category : Mathematics
Languages : en
Pages : 162

Book Description
This book is an elementary introduction to $p$-adic analysis from the number theory perspective. With over 100 exercises included, it will acquaint the non-expert to the basic ideas of the theory and encourage the novice to enter this fertile field of research. The main focus of the book is the study of $p$-adic $L$-functions and their analytic properties. It begins with a basic introduction to Bernoulli numbers and continues with establishing the Kummer congruences. These congruences are then used to construct the $p$-adic analog of the Riemann zeta function and $p$-adic analogs of Dirichlet's $L$-functions. Featured is a chapter on how to apply the theory of Newton polygons to determine Galois groups of polynomials over the rational number field. As motivation for further study, the final chapter introduces Iwasawa theory.

Primer on Optimal Control Theory

Primer on Optimal Control Theory PDF Author: Jason L. Speyer
Publisher: SIAM
ISBN: 0898716942
Category : Mathematics
Languages : en
Pages : 316

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

A Primer in Social and Sociological Theory

A Primer in Social and Sociological Theory PDF Author: Kenneth Allan
Publisher: SAGE
ISBN: 1452235651
Category : Social Science
Languages : en
Pages : 288

Book Description
Organized around the discourses of modernity, democracy, and citizenship, A Primer in Social and Sociological Theory: Toward a Sociology of Citizenship helps readers to develop skills in critical thinking and theory analysis as they explore nine central ideas of thought: modernity, society, self, religion, capitalism, power, gender, race, and globalization. Each chapter concludes with a section that discusses the craft of citizenship as it relates to the chapter content.

The Public Policy Theory Primer

The Public Policy Theory Primer PDF Author: Kevin B. Smith
Publisher: Routledge
ISBN: 0429973985
Category : Political Science
Languages : en
Pages : 288

Book Description
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.

A Primer on Mapping Class Groups

A Primer on Mapping Class Groups PDF Author: Benson Farb
Publisher: Princeton University Press
ISBN: 0691147949
Category : Mathematics
Languages : en
Pages : 490

Book Description
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.

A Primer of Infinitesimal Analysis

A Primer of Infinitesimal Analysis PDF Author: John L. Bell
Publisher: Cambridge University Press
ISBN: 0521887186
Category : Mathematics
Languages : en
Pages : 7

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

Explaining Crime

Explaining Crime PDF Author: Hugh D. Barlow
Publisher: Rowman & Littlefield
ISBN: 9780742565104
Category : Education
Languages : en
Pages : 210

Book Description
This book provides a concise but comprehensive review of the full range of classic and contemporary theories of crime. With separate chapters on the nature and use of criminological theory as well as theoretical application, the authors render the difficult task of explaining crime more understandable to the introductory student. All of the main theories in criminology are reviewed including classical and rational choice, biological, psychological, and evolutionary, social structural, social process, critical, general, and integrated approaches. Copious examples of the spirit of the theories are supplied, many with a popular culture (e.g., film and music) connection.

Primer for Point and Space Groups

Primer for Point and Space Groups PDF Author: Richard Liboff
Publisher: Springer Science & Business Media
ISBN: 1468493833
Category : Science
Languages : en
Pages : 232

Book Description
Written in the spirit of Liboff's acclaimed text on Quantum Mechanics, this introduction to group theory offers an exceptionally clear presentation with a good sense of what to explain, which examples are most appropriate, and when to give a counter-example.