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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.
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.
Author: M. Ram Murty Publisher: American Mathematical Soc. ISBN: 0821847740 Category : Number theory Languages : en Pages : 149
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.
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.
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.
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.
Author: Terence Tao Publisher: American Mathematical Soc. ISBN: 1470466406 Category : Education Languages : en Pages : 206
Book Description
This is a graduate text introducing the fundamentals of measure theory and integration theory, which is the foundation of modern real analysis. The text focuses first on the concrete setting of Lebesgue measure and the Lebesgue integral (which in turn is motivated by the more classical concepts of Jordan measure and the Riemann integral), before moving on to abstract measure and integration theory, including the standard convergence theorems, Fubini's theorem, and the Carathéodory extension theorem. Classical differentiation theorems, such as the Lebesgue and Rademacher differentiation theorems, are also covered, as are connections with probability theory. The material is intended to cover a quarter or semester's worth of material for a first graduate course in real analysis. There is an emphasis in the text on tying together the abstract and the concrete sides of the subject, using the latter to illustrate and motivate the former. The central role of key principles (such as Littlewood's three principles) as providing guiding intuition to the subject is also emphasized. There are a large number of exercises throughout that develop key aspects of the theory, and are thus an integral component of the text. As a supplementary section, a discussion of general problem-solving strategies in analysis is also given. The last three sections discuss optional topics related to the main matter of the book.
Author: Alessandro Teta Publisher: Springer ISBN: 3319778935 Category : Science Languages : en Pages : 265
Book Description
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.
Author: Christopher Heil
Author: Christopher Heil
Author: Christopher Heil
Author: Jason L. Speyer
Author: John L. Bell
Author: M. Ram Murty
Author: Kenneth Allan
Author: Kevin B. Smith
Author: Hugh D. Barlow
Author: Terence Tao
Author: Alessandro Teta