ISBN: 978-1-119-95137-7 January 2022 208 Pages
A thorough treatment of the statistical methods used to analyze doubly truncated data
In The Statistical Analysis of Doubly Truncated Data, an expert team of statisticians delivers an up-to-date review of existing methods used to deal with randomly truncated data, with a focus on the challenging problem of random double truncation. The authors comprehensively introduce doubly truncated data before moving on to discussions of the latest developments in the field.
The book offers readers examples with R code along with real data from astronomy, engineering, and the biomedical sciences to illustrate and highlight the methods described within. Linear regression models for doubly truncated responses are provided and the influence of the bandwidth in the performance of kernel-type estimators, as well as guidelines for the selection of the smoothing parameter, are explored.
Fully nonparametric and semiparametric estimators are explored and illustrated with real data. R code for reproducing the data examples is also provided. The book also offers:
A thorough introduction to the existing methods that deal with randomly truncated data
Comprehensive explorations of linear regression models for doubly truncated responses
Practical discussions of the influence of bandwidth in the performance of kernel-type estimators and guidelines for the selection of the smoothing parameter
In-depth examinations of nonparametric and semiparametric estimators
Perfect for statistical professionals with some background in mathematical statistics, biostatisticians, and mathematicians with an interest in survival analysis and epidemiology, The Statistical Analysis of Doubly Truncated Data is also an invaluable addition to the libraries of biomedical scientists and practitioners, as well as postgraduate students studying survival analysis.
Jacobo de U!a-!lvarez is Professor at the Department of Statistics and Operations Research, University of Vigo in Spain.
Carla Moreira is Associate Researcher at the Centre of Mathematics -School of Sciences, University of Minho in Portugal. She is also affiliated to the Statistical Inference, Decision and Operations Research group, University of Vigo, Spain, and to the Epidemiology Research unit- Institute of Public Health, University of Porto, Portugal.
Rosa M. Crujeiras is Associate Professor at the Department of Statistics, Mathematical Analysis and Optimization, University of Santiago de Compostela, Spain.
Incorporates the use of Infinitesimal methods, including newly developed notation and procedures for calculation
Exercises are included to aid student understanding of when methods are and are not applicable
Marginal notes are used to supplement student understanding
Calculus Set Free: Infinitesimals to the Rescue is a single-variable calculus textbook that incorporates the use of infinitesimal methods. The procedures used throughout make many of the calculations simpler and the concepts clearer for undergraduate students, heightening success and easing a significant burden of entry into STEM disciplines.
This text features a student-friendly exposition with ample marginal notes, examples, illustrations, and more. The exercises include a wide range of difficulty levels, stretching from very simple "rapid response" questions to the occasional exercise meant to test knowledge. While some exercises require the use of technology to work through, none are dependent on any specific software. The answers to odd-numbered exercises in the back of the book include both simplified and non-simplified answers, hints, or alternative answers.
Throughout the text, notes in the margins include comments meant to supplement understanding, sometimes including line-by-line commentary for worked examples. Without sacrificing academic rigor, Calculus Set Free offers an engaging style that helps students to solidify their understanding on difficult theoretical calculus.
Hardback
Published: 30 November 2021 (Estimated)
1,280 Pages | 149
246x189mm
ISBN: 9780192895592
Paperback ISBN: 9780192895608
Covers the classical theory of functions of a single complex variable with
depth, precision, and rigor
Presents the subject from an authoritative historical perspective, containing
more than 2,000 references
Offers an exemplary resource for those doing scholarly work on the subject
This authoritative text presents the classical theory of functions of a single complex variable in
complete mathematical and historical detail. Requiring only minimal, undergraduate-level
prerequisites, it covers the fundamental areas of the subject with depth, precision, and rigor.
Standard and novel proofs are explored in unusual detail, and exercises ? many with helpful
hints ? provide ample opportunities for practice and a deeper understanding of the material. In
addition to the mathematical theory, the author also explores how key ideas in complex
analysis have evolved over many centuries, allowing readers to acquire an extensive view of the
subjectfs development. Historical notes are incorporated throughout, and a bibliography
containing more than 2,000 entries provides an exhaustive list of both important and
overlooked works. Classical Analysis in the Complex Plane will be a definitive reference for
both graduate students and experienced mathematicians alike, as well as an exemplary
resource for anyone doing scholarly work in complex analysis. The authorfs expansive
knowledge of and passion for the material is evident on every page, as is his desire to impart a
lasting appreciation for the subject. gI can honestly say that Robert Burckelfs book has
profoundly influenced my view of the subject of complex analysis. It has given me a sense of
the historical flow of ideas, and has acquainted me with byways and ancillary results that I
never would have encountered in the ordinary course of my work. The care exercised in each
of his proofs is a model of clarity in mathematical writingcAnyone in the field should have this
book on [their bookshelves] as a resource and an inspiration.h - From the Foreword by Steven
G. Krantz
Due 2021-10-30
1st ed. 2021, XXIX, 1123 p.
Hardcover
ISBN 978-1-0716-1963-6
Product category : Graduate/advanced undergraduate textbook
Series : Cornerstones
Mathematics : Functions of a Complex Variable
Covers the latest achievements in nonsmooth analysis, with applications in
mechanics, engineering and game theory
Presents a set of arguments for investigating (smooth or nonsmooth) elliptic PDEs
Provides a detailed background in the appendices, making the book selfcontained
This book provides a modern and comprehensive presentation of a wide variety of problems
arising in nonlinear analysis, game theory, engineering, mathematical physics and contact
mechanics. It includes recent achievements and puts them into the context of the existing
literature. The volume is organized in four parts. Part I contains fundamental mathematical
results concerning convex and locally Lipschits functions. Together with the Appendices, this
foundational part establishes the self-contained character of the text. As the title suggests, in
the following sections, both variational and topological methods are developed based on
critical and fixed point results for nonsmooth functions. The authors employ these methods to
handle the exemplary problems from game theory and engineering that are investigated in
Part II, respectively Part III. Part IV is devoted to applications in contact mechanics. The book
will be of interest to PhD students and researchers in applied mathematics as well as
specialists working in nonsmooth analysis and engineering.
1st ed. 2021, XVI, 446 p. 3 illus. in color.
Softcover ISBN 978-3-030-81670-4
Product category : Monograph
Series : Frontiers in Mathematics
Mathematics : Analysis
New work by two of the most renowned philosophers from Brazil
Explores which mathematical universe is required for the description of
concrete physical events
Stresses that classical mechanics in its Lagrangian formulation is the formal
backbone of theoretical physics
This book explores the premise that a physical theory is an interpretation of the analytico?
canonical formalism. Throughout the text, the investigation stresses that classical mechanics in
its Lagrangian formulation is the formal backbone of theoretical physics. The authors start
from a presentation of the analytico?canonical formalism for classical mechanics, and its
applications in electromagnetism, Schrodinger's quantum mechanics, and field theories such as
general relativity and gauge field theories, up to the Higgs mechanism. The analysis uses the
main criterion used by physicists for a theory: to formulate a physical theory we write down a
Lagrangian for it. A physical theory is a particular instance of the Lagrangian functional. So,
there is already an unified physical theory. One only has to specify the corresponding
Lagrangian (or Lagrangian density); the dynamical equations are the associated Euler?Lagrange
equations. The theory of Suppes predicates as the main tool in the axiomatization and
examples from the usual theories in physics. For applications, a whole plethora of results from
logic that lead to interesting, and sometimes unexpected, consequences. This volume looks at
where our physics happen and which mathematical universe we require for the description of
our concrete physical events. It also explores if we use the constructive universe or if we need
set?theoretically generic spacetimes.
Due 2021-11-24
1st ed. 2022, X, 186 p.
Hardcover
ISBN 978-3-030-83836-2
Product category : Monograph
Series : Synthese Library
Philosophy : Philosophy of Science
Offers a concise overview of substructural logics and their semantics
Useful to graduate students and young researchers
Is an exciting mix of survey papers and new research results
This volume is dedicated to Hiroakira Ono lifefs work on substructural logics. Chapters, written
by well-established academics, cover topics related to universal algebra, algebraic logic and the
Full Lambek calculus; the book includes a short biography about Hiroakira Ono. The book
starts with detailed surveys on universal algebra, abstract algebraic logic, topological dualities,
and connections to computer science. It further contains specialised contributions on
connections to formal languages (recognizability in residuated lattices and connections to the
finite embedding property), covering systems for modal substructural logics, results on the
existence and disjunction properties and finally a study of conservativity of expansions. This
book will be primarily of interest to researchers working in algebraic and non-classical logic.
Due 2021-12-05
1st ed. 2022, XII, 373 p. 28 illus.
Hardcover
ISBN 978-3-030-76919-2
Product category : Contributed volume
Series : Outstanding Contributions to Logic
Philosophy : Philosophy (general)
Presents approximation properties of certain operators that have not yet
been collected in book form
Contains many new results together with proofs
Covers recent developments in the study of exponential type operators
This brief studies recent work conducted on certain exponential type operators and other
integral type operators. It consists of three chapters: the first on exponential type operators,
the second a study of some modifications of linear positive operators, and the third on
difference estimates between two operators. It will be of interest to students both graduate
and undergraduate studying linear positive operators and the area of approximation theory.
Due 2021-11-18
1st ed. 2021, VI, 114 p.
Softcover
ISBN 978-3-030-85562-8
Product category : Brief
Series : SpringerBriefs in Mathematics
Mathematics : Approximations and Expansions
Enthalt die einflussreichsten Artikel von Martin Kneser
Einschlieslich zweier Rezensionen von Knesers Arbeiten von fuhrenden
Experten
Prasentiert eine unveroffentlichte Arbeite zum ersten Mal
This volume presents the collection of mathematical articles by Martin Kneser, reprinted in the
original language ? mostly German ?, including one yet unpublished. Moreover, also included is
an article by Raman Parimala, discussing Kneserfs work concerning algebraic groups and the
Hasse principle, which has been written especially for this volume, as well as an article by
Rudolf Scharlau about Kneserfs work on quadratic forms, published elsewhere before. Another
commentary article, written by Gunter M. Ziegler especially for this volume, describes the
astounding influence on the field of combinatorics of what was published as gAufgabe 360h
and its subsequent solution in 1955 resp. 1957 in the gJahresbericht der Deutschen
Mathematiker-Vereinigungh. However, as the titles of the articles show, Kneserfs mathematical
interests were much broader, which is beautifully discussed in an obituary by Ulrich Stuhler,
included as well in this volume.
Due 2021-11-19
1st ed. 2021, X, 750 p. 34 illus.
Hardcover
ISBN 978-3-030-81624-7
Product category : Collected works
Series : Contemporary Mathematicians
Mathematics : Number Theory