Series
Springer Proceedings in Mathematics & Statistics
Due 2018-12-27
1st ed. 2018, X, 352 p. 51
illus., 24 illus. in color.
Hardcover
ISBN 978-3-319-96940-4
Updates the reader on cutting-edge research in nonparametric statistics
Features the latest findings on high-dimensional data, machine learning, data
mining, big data and resampling methods, as well as statistical computing
Addresses advanced students and researchers alike
This volume presents the latest advances and trends in nonparametric statistics, and gathers
selected and peer-reviewed contributions from the 3rd Conference of the International Society
for Nonparametric Statistics (ISNPS), held in Avignon, France on June 11-16, 2016. It covers a
broad range of nonparametric statistical methods, from density estimation, survey sampling,
resampling methods, kernel methods and extreme values, to statistical learning and
classification, both in the standard i.i.d. case and for dependent data, including big data. The
International Society for Nonparametric Statistics is uniquely global, and its international
conferences are intended to foster the exchange of ideas and the latest advances among
researchers from around the world, in cooperation with established statistical societies such as
the Institute of Mathematical Statistics, the Bernoulli Society and the International Statistical
Institute. The 3rd ISNPS conference in Avignon attracted more than 400 researchers from
around the globe, and contributed to the further development and dissemination of
nonparametric statistics knowledge.
Due 2018-11-12
1st ed. 2018, X, 247 p. 28 illus.
Hardcover
ISBN 978-3-319-97845-1
Offers a comprehensive and accessible exposition of Euclidean Distance
Matrices (EDMs) and rigidity theory of bar-and-joint frameworks
Highlights two parallel approaches to rigidity theory that lend themselves
easily to semidefinite programming machinery
Includes numerous examples that illustrate important theorems and concepts
This book offers a comprehensive and accessible exposition of Euclidean Distance Matrices
(EDMs) and rigidity theory of bar-and-joint frameworks. It is based on the one-to-one
correspondence between EDMs and projected Gram matrices. Accordingly the machinery of
semidefinite programming is a common thread that runs throughout the book. As a result, two
parallel approaches to rigidity theory are presented. The first is traditional and more intuitive
approach that is based on a vector representation of point configuration. The second is based
on a Gram matrix representation of point configuration. Euclidean Distance Matrices and Their
Applications in Rigidity Theory begins by establishing the necessary background needed for the
rest of the book. The focus of Chapter 1 is on pertinent results from matrix theory, graph
theory and convexity theory, while Chapter 2 is devoted to positive semidefinite (PSD) matrices
due to the key role these matrices play in our approach. Chapters 3 to 7 provide detailed
studies of EDMs, and in particular their various characterizations, classes, eigenvalues and
geometry. Chapter 8 serves as a transitional chapter between EDMs and rigidity theory.
Chapters 9 and 10 cover local and universal rigidities of bar-and-joint frameworks.
Series
Undergraduate Texts in Mathematics
Due 2018-11-09
Approx. 550 p.
Hardcover
ISBN 978-3-030-01399-8
Offers a unified exposition of singlevariable calculus and classical real analysis
Contains a new chapter on sequences and series of realvalued functions of a
real variable, and their continuous analogue: improper integrals depending on a parameter
Features two new appendices that offer a construction of real numbers, and a
proof of the Fundamental Theorem of Algebra
Offering a unified exposition of calculus and classical real analysis, this textbook presents a
meticulous introduction to singlevariable calculus. Throughout, the exposition makes a
distinction between the intrinsic geometric definition of a notion and its analytic
characterization, establishing firm foundations for topics often encountered earlier without
proof. Each chapter contains numerous examples and a large selection of exercises, as well as
a “Notes and Comments” section, which highlights distinctive features of the exposition and
provides additional references to relevant literature.This second edition contains substantial
revisions and additions, including several simplified proofs, new sections, and new and revised
figures and exercises. A new chapter discusses sequences and series of realvalued functions of
a real variable, and their continuous counterpart: improper integrals depending on a parameter.
Two new appendices cover a construction of the real numbers using Cauchy sequences, and a
selfcontained proof of the Fundamental Theorem of Algebra. In addition to the usual
prerequisites for a first course in singlevariable calculus, the reader should possess some
mathematical maturity and an ability to understand and appreciate proofs. This textbook can
be used for a rigorous undergraduate course in calculus, or as a supplement to a later course
in real analysis. The authors’ A Course in Multivariable Calculus is an ideal companion volume,
offering a natural extension of the approach developed here to the multivariable setting. From
reviews: [The first edition is] a rigorous, well-presented and original introduction to the core of
undergraduate mathematics ? first-year calculus.
Due 2018-11-11
1st ed. 2018, Approx. 740 p.
30 illus., 15 illus. in color.
Hardcover
ISBN 978-3-319-99027-9
Presents the laureates of the third five year period of the Abel Prize, which is
one of the premier international prizes in mathematics
Autobiographical essay by each laureate, followed by an extensive review of
their work
Two of the Laureates (John Nash and Andrew Wiles) are known to a very wide
audience also outside mathematics
Interesting photographs
The book presents the winners of the Abel Prize in mathematics for the period 2013?17:
Pierre Deligne (2013); Yakov G. Sinai (2014); John Nash Jr. and Louis Nirenberg (2015); Sir
Andrew Wiles (2016); and Yves Meyer (2017). The profiles feature autobiographical information
as well as a scholarly description of each mathematician’s work.In addition,each profile
containsa Curriculum Vitae, a complete bibliography, and the full citation from the prize
committee. The book also includes photos for the period 2003?2017 showing many of the
additional activities connected with the Abel Prize. As an added feature, video interviews with
the Laureates as well as videos from the prize ceremony are provided at an accompanying
website (http://extras.springer.com/). This book follows onThe Abel Prize: 2003-2007. The First
Five Years(Springer, 2010) and The Abel Prize 2008-2012 (Springer 2014), which profile the
work of the previous Abel Prize winners.
Series
Undergraduate Texts in Mathematics
Due 2018-11-26
2nd ed. 2018, X, 265 p. 60 illus.
Hardcover
ISBN 978-3-030-00631-0
Presents sophisticated ideas in algebra and geometry in an elementary fashion
Includes exercises of varying difficulty to help motivate and teach the reader
Develops mathematical thinking that will be useful for future mathematics
teachers and mathematics majors
Solutions to selected exercises are freely available in PDF
Designed for an undergraduate course or for independent study, this text presents
sophisticated mathematical ideas in an elementary and friendly fashion. The fundamental
purpose of this book is to teach mathematical thinking while conveying the beauty and
elegance of mathematics. The book contains a large number of exercises of varying difficulty,
some of which are designed to help reinforce basic concepts and others of which will
challenge virtually all readers. The sole prerequisite for reading this text is high school algebra.
Topics covered include: * mathematical induction * modular arithmetic * the Fundamental
Theorem of Arithmetic * Fermat's Little Theorem * RSA encryption * the Euclidean algorithm *
rational and irrational numbers * complex numbers * cardinality * Euclidean plane geometry *
constructibility (including a proof that an angle of 60 degrees cannot be trisected with a
straightedge and compass)* infinite series * higher dimensional spaces. This textbook is
suitable for a wide variety of courses and for a broad range of students of mathematics and
other subjects. Mathematically inclined senior high school students will also be able to read
this book. From the reviews of the first edition: “It is carefully written in a precise but readable
and engaging style… I thoroughly enjoyed reading this recent addition to the Springer
Undergraduate Texts in Mathematics series and commend this clear, well-organised, unfussy
text to its target audiences.” (Nick Lord,The Mathematical Gazette, Vol. 100 (547), 2016) “The
book is an introduction to real mathematics and is very readable. … The book is indeed a joy to
read, and would be an excellent text for an ‘appreciation of mathematics’ course, among other
possibilities.” (G.A.