Advances in Sequence Analysis: Theory, Method, Applications

Life Course Research and Social Policies

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This book gives a general view of sequence analysis, the statistical study of successions of states or events. It includes innovative contributions on life course studies, transitions into and out of employment, contemporaneous and historical careers, and political trajectories. The approach presented in this book is now central to the life-course perspective and the study of social processes more generally.

This volume promotes the dialogue between approaches to sequence analysis that developed separately, within traditions contrasted in space and disciplines. It includes the latest developments in sequential concepts, coding, atypical datasets and time patterns, optimal matching and alternative algorithms, survey optimization, and visualization.

Field studies include original sequential material related to parenting in 19th-century Belgium, higher education and work in Finland and Italy, family formation before and after German reunification, French Jews persecuted in occupied France, long-term trends in electoral participation, and regime democratization.

Overall the book reassesses the classical uses of sequences and it promotes new ways of collecting, formatting, representing and processing them. The introduction provides basic sequential concepts and tools, as well as a history of the method. Chapters are presented in a way that is both accessible to the beginner and informative to the expert.

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Additional Information

Publisher
Springer
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Published on
Jul 2, 2014
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Pages
304
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ISBN
9783319049694
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Language
English
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Genres
Political Science / General
Political Science / History & Theory
Social Science / Methodology
Social Science / Research
Social Science / Sociology / General
Social Science / Sociology / Marriage & Family
Social Science / Statistics
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Content Protection
This content is DRM protected.
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This open access wide-ranging collation of papers examines a host of issues in studying second-generation immigrants, their life courses, and their relations with older generations. Tightly focused on methodological aspects, both quantitative and qualitative, the volume features the work of authors from numerous countries, from differing disciplines, and approaches. A key addition in a corpus of literature which has until now been restricted to studying the childhood, adolescence and youth of the children of immigrants, the material includes analysis of longitudinal and transnational efforts to address challenges such as defining the population to be studied, and the difficulties of follow-up research that spans both time and geographic space. In addition to perceptive reviews of extant literature, chapters also detail work in surveying the children of immigrants in Europe, the USA, and elsewhere. Authors address key questions such as the complexities of surveying each generation in families where parents have migrated and left children in their country of origin, and the epistemological advances in methodology which now challenge assumptions based on the Westphalian nation-state paradigm. The book is in part an outgrowth of temporal factors (immigrants’ children are now reaching adulthood in more significant numbers), but also reflects the added sophistication and sensitivity of social science surveys. In linking theoretical and methodological factors, it shows just how much the study of these second generations, and their families, can be enriched by evolving methodologies.​This book is open access under a CC BY license
The second edition of this textbook presents the basic mathematical knowledge and skills that are needed for courses on modern theoretical physics, such as those on quantum mechanics, classical and quantum field theory, and related areas. The authors stress that learning mathematical physics is not a passive process and include numerous detailed proofs, examples, and over 200 exercises, as well as hints linking mathematical concepts and results to the relevant physical concepts and theories. All of the material from the first edition has been updated, and five new chapters have been added on such topics as distributions, Hilbert space operators, and variational methods.

The text is divided into three parts:

- Part I: A brief introduction to (Schwartz) distribution theory. Elements from the theories of ultra distributions and (Fourier) hyperfunctions are given in addition to some deeper results for Schwartz distributions, thus providing a rather comprehensive introduction to the theory of generalized functions. Basic properties and methods for distributions are developed with applications to constant coefficient ODEs and PDEs. The relation between distributions and holomorphic functions is considered, as well as basic properties of Sobolev spaces.

- Part II: Fundamental facts about Hilbert spaces. The basic theory of linear (bounded and unbounded) operators in Hilbert spaces and special classes of linear operators - compact, Hilbert-Schmidt, trace class, and Schrödinger operators, as needed in quantum physics and quantum information theory – are explored. This section also contains a detailed spectral analysis of all major classes of linear operators, including completeness of generalized eigenfunctions, as well as of (completely) positive mappings, in particular quantum operations.

- Part III: Direct methods of the calculus of variations and their applications to boundary- and eigenvalue-problems for linear and nonlinear partial differential operators. The authors conclude with a discussion of the Hohenberg-Kohn variational principle.

The appendices contain proofs of more general and deeper results, including completions, basic facts about metrizable Hausdorff locally convex topological vector spaces, Baire’s fundamental results and their main consequences, and bilinear functionals.

Mathematical Methods in Physics is aimed at a broad community of graduate students in mathematics, mathematical physics, quantum information theory, physics and engineering, as well as researchers in these disciplines. Expanded content and relevant updates will make this new edition a valuable resource for those working in these disciplines.

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