Due 2019-02-09
1st ed. 2018, X, 358 p. 33
illus., 15 illus. in color.
Hardcover
ISBN 978-3-030-05227-0
Texts in Applied Mathematics
Mathematics : Approximations and Expansions
Clear and comprehensible introduction to approximation theory and its
applications
Offers a constructive approach to methods and algorithms
Contains a large number of examples and exercises
This textbook offers an accessible introduction to the theory and numerics of approximation
methods, combining classical topics of approximation with recent advances in mathematical
signal processing, and adopting a constructive approach, in which the development of
numerical algorithms for data analysis plays an important role. The following topics are
covered: * least-squares approximation and regularization methods * interpolation by algebraic
and trigonometric polynomials * basic results on best approximations * Euclidean
approximation * Chebyshev approximation * asymptotic concepts: error estimates and
convergence rates * signal approximation by Fourier and wavelet methods * kernel-based
multivariate approximation * approximation methods in computerized tomography Providing
numerous supporting examples, graphical illustrations, and carefully selected exercises, this
textbook is suitable for introductory courses, seminars, and distance learning programs on
approximation for undergraduate students.
Due 2019-03-10
1st ed. 2019, Approx. 220 p.
44 illus.
Hardcover
ISBN 978-3-030-05419-9
Springer Proceedings in Mathematics & Statistics
Statistics : Statistical Theory and Methods
Offers a comprehensive overview of the current Italian scientific research
linked to the legacy of Corrado Gini
Provides interesting starting points for further research
Intended for researchers interested in theoretical and empirical issues
regarding data science, statistics and demography
This book is devoted to Corrado Gini, father of the Italian statistical school. It celebrates the
50th anniversary of his death by bearing witness to the continuing extraordinary scientific
relevance of his interdisciplinary interests. The book comprises a selection of the papers
presented at the conference of the Italian Statistical Society, Statistics and Demography ? the
Legacy of Corrado Gini, held in Treviso in September 2015. The work covers many topics linked
to Ginifs scientific legacy, ranging from the theory of statistical inference to multivariate
statistical analysis, demography and sociology. In this volume, readers will find many
interesting contributions on entropy measures, permutation procedures for the heterogeneity
test, robust estimation of skew-normal parameters, S-weighted estimator, measures of
multidimensional performance using Ginifs delta, small-sample confidence intervals for Ginifs
gamma index, Bayesian estimation of the Gini-Simpson index, spatial residential patterns of
selected foreign groups, minority segregation processes, dynamic time warping to study cruise
tourism, and financial stress spill over. This book will appeal to all statisticians, demographers,
economists, and sociologists interested in the field.
Due 2019-02-07
1st ed. 2018, XV, 290 p. 1
2 illus., 5 illus. in color.
Hardcover
ISBN 978-3-030-05656-8
Springer Proceedings in Mathematics & Statistics
Mathematics : Functional Analysis
Unique collection of papers in analysis from developing countries
Contains an assessment of the current state of mathematics in Africa
Topics include Fourier analysis, PDE, numerical analysis, integral equations,
pseudo-differential equations, bifurcation theory
This volume presents current trends in analysis and partial differential equations from
researchers in developing countries. The fruit of the project 'Analysis in Developing Countries',
whose aim was to bring together researchers from around the world, the volume also includes
some contributions from researchers from developed countries. Focusing on topics in analysis
related to partial differential equations, this volume contains selected contributions from the
activities of the project at Imperial College London, namely the conference on Analysis and
Partial Differential Equations held in September 2016 and the subsequent Official Development
Assistance Week held in November 2016. Topics represented include Fourier analysis, pseudodifferential
operators, integral equations, as well as related topics from numerical analysis and
bifurcation theory, and the countries represented range from Burkina Faso and Ghana to
Armenia, Kyrgyzstan and Tajikistan, including contributions from Brazil, Colombia and Cuba, as
well as India and China. Suitable for postgraduate students and beyond, this volume offers the
reader a broader, globalperspective of contemporary research in analysis.
Due 2019-03-03
1st ed. 2019, XVIII, 480 p.4 illus.
Hardcover
ISBN 978-3-030-05596-7
Springer Monographs in Mathematics
Mathematics : Abstract Harmonic Analysis
Updated and self-contained exposition of all topics of Gaussian harmonic
analysis that up to now are mostly scattered in research papers and sections
of books
Gaussian harmonic analysis may serve as a good introduction to other
possible harmonic analysis done for orthogonal expansion
A deep understanding of Gaussian harmonic analysis may help one gain
insights into related problems in other non-euclidean settings
Authored by a ranking authority in Gaussian harmonic analysis, this book embodies a state-ofthe-
art entree at the intersection of two important fields of research: harmonic analysis and
probability. The book is intended for a very diverse audience, from graduate students all the
way to researchers working in a broad spectrum of areas in analysis. Written with the graduate
student in mind, it is assumed that the reader has familiarity with the basics of real analysis as
well as with classical harmonic analysis, including Calderon-Zygmund theory; also some
knowledge of basic orthogonal polynomials theory would be convenient. The monograph
develops the main topics of classical harmonic analysis (semigroups, covering lemmas,
maximal functions, Littlewood-Paley functions, spectral multipliers, fractional integrals and
fractional derivatives, singular integrals) with respect to the Gaussian measure. The text provide
an updated exposition, as self-contained as possible, of all the topics in Gaussian harmonic
analysis that up to now are mostly scattered in research papers and sections of books; also an
exhaustive bibliography for further reading. Each chapter ends with a section of notes and
further results where connections between Gaussian harmonic analysis and other connected
fields, points of view and alternative techniques are given. Mathematicians and researchers in
several areas will find the breadth and depth of the treatment of the subject highly useful.
Due 2019-03-15
1st ed. 2019, X, 167 p. 31
illus., 23 illus. in color.
Hardcover
ISBN 978-3-030-10418-4
Series : Springer Proceedings in Mathematics & Statistics
Mathematics : Partial Differential Equations
Presents a unique combination of papers
Covers a wide range of topical modern problems
Includes papers from distinguished mathematicians and mechanists as well
as from promising young scientists
This book presents eleven peer-reviewed papers from the 3rd International Conference on
Applications of Mathematics and Informatics in Natural Sciences and Engineering
(AMINSE2017) held in Tbilisi, Georgia in December 2017. Written by researchers from the
region (Georgia, Russia, Turkey) and from Western countries (France, Germany, Italy,
Luxemburg, Spain, USA), it discusses key aspects of mathematics and informatics, and their
applications in natural sciences and engineering. Featuring theoretical, practical and numerical
contributions, the book appeals to scientists from various disciplines interested in applications
of mathematics and informatics in natural sciences and engineering.