IRMA Lectures in Mathematics and Theoretical Physics Vol. 29
ISBN print 978-3-03719-196-5,
DOI 10.4171/196
February 2019, 475 pages, hardcover, 17 x 24 cm.
This book consists of a series of self-contained essays in non-Euclidean geometry in a broad sense, including the classical geometries of constant curvature (spherical and hyperbolic), de Sitter, anti-de Sitter, co-Euclidean, co-Minkowski, Hermitian geometries, and some axiomatically defined geometries. Some of these essays deal with very classical questions and others address problems that are at the heart of present day research, but all of them are concerned with fundamental topics.
All the essays are self-contained and most of them can be understood by the general educated mathematician. They should be useful to researchers and to students of non-Euclidean geometry, and they are intended to be references for the various topics they present.
Keywords: Non-Euclidean geometry, spherical geometry, hyperbolic geometry, Busemann type geometry, curvature, geographical map, non-euclidean area, non-euclidean volume, Brahmagupta’s formula, Ptolemy’s theorem, Casey’s theorem, Sforza’s formula, Seidel’s problem, infinitesimal rigidity, static rigidity, Pogorelov map, Maxwell?Cremona correspondence, exterior hyperbolic geometry, de Sitter geometry, non-Euclidean conics, bifocal properties, focus-directrix properties, pencils of conics, projective geometry, convexity, duality, transition, Hermitian trigonometry, complex projective trigonometry, shape invariant, metric plane projective-metric plane
Seminaires et Congres Volume: 32
2018; 261 pp; Softcover
MSC: Primary 35; 39; 58; 05; 47; 81; 32;
Print ISBN: 978-2-85629-895-4
A publication of the Societe Mathematique de France
This volume is devoted to the Spectral Theory on Graphs and Manifolds, the CIMPA Research School which took place at Kairouan (Tunisia) in November 2016. The school offered six courses and two conferences.
This volume contains the redaction of five of the presentations: Spectral Theory on Combinatorial and Quantum Graphs, by E. M. Harrell; Introduction to Spectral Theory of Unbounded Operators, by H. Najar; On the Absolute Continuous Spectrum of Discrete Operators, by S. Golenia; Random Schrodinger Operators on Discrete Structures, by C. Rojas-Molina; Critical Points at Infinity Theory on CR Manifolds, by N. Gamara. Geometric Bounds on the Eigenvalues of Graphs, by N. Anantaraman, is just summarized, as it was podcasted and is still available on the Internet.
The volume concludes with the text of L. Hillairet's conference on Two Applications of the Dirichlet-Neumann Bracketing.
Graduate students and research mathematicians interested in spectral theory.
ISBN: 978-1-118-89067-7 February 2019 448 Pages
HARDCOVER
A unique approach to understanding the foundations of statistical quality control with a focus on the latest developments in nonparametric control charting methodologies
Statistical Process Control (SPC) methods have a long and successful history and have revolutionized many facets of industrial production around the world. This book addresses recent developments in statistical process control bringing the modern use of computers and simulations along with theory within the reach of both the researchers and practitioners. The emphasis is on the burgeoning field of nonparametric SPC (NSPC) and the many new methodologies developed by researchers worldwide that are revolutionizing SPC.
Over the last several years research in SPC, particularly on control charts, has seen phenomenal growth. Control charts are no longer confined to manufacturing and are now applied for process control and monitoring in a wide array of applications, from education, to environmental monitoring, to disease mapping, to crime prevention. This book addresses quality control methodology, especially control charts, from a statistician’s viewpoint, striking a careful balance between theory and practice. Although the focus is on the newer nonparametric control charts, the reader is first introduced to the main classes of the parametric control charts and the associated theory, so that the proper foundational background can be laid.
Reviews basic SPC theory and terminology, the different types of control charts, control chart design, sample size, sampling frequency, control limits, and more
Focuses on the distribution-free (nonparametric) charts for the cases in which the underlying process distribution is unknown
Provides guidance on control chart selection, choosing control limits and other quality related matters, along with all relevant formulas and tables
Uses computer simulations and graphics to illustrate concepts and explore the latest research in SPC
Offering a uniquely balanced presentation of both theory and practice, Nonparametric Methods for Statistical Quality Control is a vital resource for students, interested practitioners, researchers, and anyone with an appropriate background in statistics interested in learning about the foundations of SPC and latest developments in NSPC.
ISBN: 978-1-119-51753-5 August 2019 625 Pages
HARDCOVER
This book provides content that is accessible to physics students seeking to better understand the mathematics underlying general relativity. This book contains 22 Chapters, with Chapters 1-10 providing the essential background material on linear and multilinear algebra, general topology, and real analysis in Euclidean m-space. Chapters 11-13 discuss curves and regular surfaces in Euclidean 3-space, first without reference to an ambient scalar product structure, and then with a scalar product included. This anticipates the later discussion of smooth manifolds, which is followed by the material on semi-Riemannian manifolds. Chapter 13 is devoted to developing formulas for graphs of functions and surfaces of revolution, and providing detailed worked examples. Next, Chapters 14-21 introduce smooth manifolds, building on the earlier material presented on Euclidean m-space and regular surfaces in Euclidean 3-space. Additional structure on smooth manifolds, such as connections and metrics, is introduced as needed. Finally, Chapter 22 illustrates the concepts and computational tools developed in earlier chapters, with key examples from physics, culminating in the definition of the Einstein tensor.
Hardback
ISBN: 9780198841296
Paperback
ISBN: 9780198841302
Published: 09 May 2019 (Estimated)
432 Pages
246x189mm
Provides a quick read for the novice student of Bayesian statistics
Assumes some prior knowledge of basic algebra, but all mathematical content and equations are accompanied by explanatory prose
Adopts an informal question and answer approach which make for a fun and light-hearted approach to the topic whilst testing and consolidating student learning
Bayesian statistics is currently undergoing something of a renaissance. At its heart is a method of statistical inference in which Bayes' theorem is used to update the probability for a hypothesis as more evidence or information becomes available. It is an approach that is ideally suited to making initial assessments based on incomplete or imperfect information; as that information is gathered and disseminated, the Bayesian approach corrects or replaces the assumptions and alters its decision-making accordingly to generate a new set of probabilities. As new data/evidence becomes available the probability for a particular hypothesis can therefore be steadily refined and revised. It is very well-suited to the scientific method in general and is widely used across the social, biological, medical, and physical sciences. Key to this book's novel and informal perspective is its unique pedagogy, a question and answer approach that utilizes accessible language, humor, plentiful illustrations, and frequent reference to on-line resources.