Series: SpringerBriefs in Mathematics
Softcover
ISBN 978-3-319-33641-1
* The book is written in a style accessible to young and experienced
researchers alike
* All results discussed are proved in detail
* No similar work is currently available
This book presents a unified approach to studying the stability of both elliptic Cauchy
problems and selected inverse problems. Based on elementary Carleman inequalities,
it establishes three-ball inequalities, which are the key to deriving logarithmic stability
estimates for elliptic Cauchy problems and are also useful in proving stability estimates for
certain elliptic inverse problems.
The book presents three inverse problems, the first of which consists in determining
the surface impedance of an obstacle from the far field pattern. The second problem
investigates the detection of corrosion by electric measurement, while the third concerns
the determination of an attenuation coefficient from internal data, which is motivated by
a problem encountered in biomedical imaging.
Series: SpringerBriefs in Mathematics
1st ed. 2016, X, 130 p. 28 illus., 6 illus. in color.
Softcover
ISBN 978-3-319-33827-9
* Brings together results, conjectures, and open problems on
generalized connectivity
* Features theoretical and practical analysis for generalized (edge-)
connectivity
* Contains essential proofs
Noteworthy results, proof techniques, open problems and conjectures in generalized
(edge-) connectivity are discussed in this book. Both theoretical and practical analyses
for generalized (edge-) connectivity of graphs are provided. Topics covered in this book
include: generalized (edge-) connectivity of graph classes, algorithms, computational
complexity, sharp bounds, Nordhaus-Gaddum-type results, maximum generalized local
connectivity, extremal problems, random graphs, multigraphs, relations with the Steiner
tree packing problem and generalizations of connectivity.
This book enables graduate students to understand and master a segment of graph
theory and combinatorial optimization. Researchers in graph theory, combinatorics,
combinatorial optimization, probability, computer science, discrete algorithms,
complexity analysis, network design, and the information transferring models will find this
book useful in their studies.
Series: Sources and Studies in the History of Mathematics and Physical Sciences
1st ed. 2016, X, 280 p. 15 illus., 9 illus. in color.
Hardcover
ISBN 978-3-319-31992-6
* Provides a critical edition of one of the most important treatises
composed on Islamic/Ptolemaic theoretical astronomy, as well an
English translation
* Contains a survey of introductory accounts of astronomy before
Jaghm*n*, both Ancient and Islamic
* Situates the Mulakhkha* within the broader context of the genre of
literature termed ilm al-haya
This book provides the only critical edition and English translation of Ma*m*d al-
Jaghminisfs Mulakhkhas al-hay*a al-bas**a, the most widely circulated Arabic
treatise on Ptolemaic astronomy ever written. Composed in the early 13th century,
this introductory textbook played a crucial role in the teaching, dissemination, and
institutional instruction of Islamic astronomy well into the 19th century (and beyond).
Establishing the base text is a fundamental prerequisite for gaining insights into what was
considered an elementary astronomical textbook in Islam and also for understanding the
extensive commentary tradition that built upon it.
Within this volume, the Mulakhkha is situated within the broader context of the genre
of literature termed ilm al-haya, which has become the subject of intensive research
over the past 25 years. In so doing, it provides a survey of summary accounts of theoretical
astronomy of Jaghmnfs predecessors, both Ancient and Islamic, which could have
served as potential sources for the Mulakhkha. Jaghmfs dates (which until now
remained unsettled) are established, and it is definitively shown that he composed not
only the Mulakhkha* but also other scientific treatises, including the popular medical
treatise al-Q*n*n*a, during a period that has been deemed one of scientific decline and
stagnation in Islamic lands. The book will be of particular interest to scholars engaged
in the study of Islamic theoretical astronomy, but is accessible to a general readership
interested in learning what constituted an introduction to Ptolemaic astronomy in Islamic lands.
Series: Mathematiques et Applications, Vol. 78
1ere ed. 2016, XIII, 398 p. 59 ill.
Softcover
ISBN 978-3-662-49767-8
Ce recueil puise sa source dans les cours de master de mathematiques appliquees et de
preparation a lfepreuve de modelisation de lfagregation de mathematiques. Le parti pris
de cet ouvrage est de polariser la redaction par les modeles plutot que par les outils, et de
consacrer chaque chapitre a un modele. Le premier public vise est celui des enseignantschercheurs
en probabilites, debutants ou confirmes. De nombreux chapitres peuvent
egalement beneficier directement a des etudiants de master ou preparant lfagregation.
Collected Stochastic Models
This collection was inspired by applied mathematics Master classes in stochastic
modeling. The focus is on models rather than on tools, and each chapter is devoted to
a specific model. Though the book is primarily intended for academics in the field of
probability theory, beginners and experienced researchers alike, many chapters will also
benefit students preparing to pursue their Master degree in mathematics.
Series: Springer Texts in Statistics
1st ed. 2016, XIV, 412 p. 4 illus., 2 illus. in color.
Hardcover
ISBN 978-1-4939-4030-1
* Large Sample theory with many worked examples, numerical
calculations, and simulations to illustrate theoryAppendices
provide ready access to a number of standard results, with many
proofsSolutions given to a number of selected exercises from Part
IPart II exercises with a certain level of difficulty appear with detailed
hints
This graduate-level textbook is primarily aimed at graduate students of statistics,
mathematics, science, and engineering who have had an undergraduate course in
statistics, an upper division course in analysis, and some acquaintance with measure
theoretic probability. It provides a rigorous presentation of the core of mathematical
statistics.
Part I of this book constitutes a one-semester course on basic parametric mathematical
statistics. Part II deals with the large sample theory of statistics * parametric and
nonparametric, and its contents may be covered in one semester as well. Part III provides
brief accounts of a number of topics of current interest for practitioners and other
disciplines whose work involves statistical methods.
* Large Sample theory with many worked examples, numerical calculations, and
simulations to illustrate theory
* Appendices provide ready access to a number of standard results, with many proofs
* Solutions given to a number of selected exercises from Part I
* Part II exercises with a certain level of difficulty appear with detailed hints
Rabi Bhattacharya, PhD,has held regular faculty positions at UC, Berkeley; Indiana
University; and the University of Arizona. He is a Fellow of the Institute of Mathematical
Statistics and a recipient of the U.S. Senior Scientist Humboldt Award and of a
Guggenheim Fellowship. He has served on editorial boards of many international journals
and has published several research monographs and graduate texts on probability
and statistics, including Nonparametric Inference on Manifolds, co-authored with A.Bhattacharya.