EMS Series of Lectures in Mathematics
ISBN print 978-3-03719-163-7
DOI 10.4171/163
October 2016, 307 pages, softcover, 17 x 24 cm.
Sub-Riemannian manifolds model media with constrained dynamics: motion at any point is only allowed along a limited set of directions, which are prescribed by the physical problem. From the theoretical point of view, sub-Riemannian geometry is the geometry underlying the theory of hypoelliptic operators and degenerate diffusions on manifolds.
In the last twenty years, sub-Riemannian geometry has emerged as an independent research domain, with extremely rich motivations and ramifications in several parts of pure and applied mathematics, such as geometric analysis, geometric measure theory, stochastic calculus and evolution equations together with applications in mechanics, optimal control and biology.
The aim of the lectures collected here is to present sub-Riemannian structures for the use of both researchers and graduate students.
Keywords: Sub-Riemannian geometry, hypoelliptic operators, non-holonomic constraints, optimal control, rough paths
Panoramas et Syntheses, Volume: 48
2016; 174 pp; Softcover
MSC: Primary 57;
Print ISBN: 978-2-85629-842-8
This monograph contains three lecture series from the SMF school Geometric and Quantum Topology in Dimension 3, which was held at CIRM in June 2014. These lectures present recent progress on the study of 3-manifold and link invariants. Thang Le describes the state of the art about the AJ conjecture, which relates generalizations of the Jones polynomial to the Cooper, Culler, Gillet, Long and Shalen A-polynomial, which is defined from SL2(C)
Graduate students and research mathematicians interested in geometry and topology.
Published: 1 September 2016
Publisher: International Press of Boston, Inc.
Paperback
784 pages
2016 softcover re-issue of the original 2002 publication.
Motives, Polylogarithms and Hodge Theory is a two-volume collection of works exploring motivic cohomology and motivic homotopy theory, the periods of modular forms, and the variational aspects of Hodge theory.
Topics include: outstanding open questions in the stable homotopy theory of motives (V. Voevodsky); motivic cohomology, Galois cohomology, and algebraic differential characters (A. Beilinson, S. Bloch, F. Bogomolov, H. Esnault, and Y. Tschinkel); traces of the values of modular functions at quadratic irrationalities (D. Zagier); and theory of classical and elliptic polylogarithms (A. Goncharov and A. Levin). Also presented are papers by J. Wildeshaus and by Z. Wojkowiak, describing the recent progress towards a proof of various versions of Zagier's conjecture; a foundational paper by C. Simpson on geometric n-stacks and their applications to non-abelian Hodge structures; and papers on the geometric applications of non-abelian Hodge theory by D. Arapura, L. Katzarkov, T. Pantev, A. Reznikov, and C. Teleman.
ISBN: 978-1-119-16896-6
968 pages
November 2016
Provides a one-stop resource for engineers learning biostatistics using MATLAB and WinBUGS
Through its scope and depth of coverage, this book addresses the needs of the vibrant and rapidly growing bio-oriented engineering fields while implementing software packages that are familiar to engineers. The book is heavily oriented to computation and hands-on approaches so readers understand each step of the programming. Another dimension of this book is in parallel coverage of both Bayesian and frequentist approaches to statistical inference. It avoids taking sides on the classical vs. Bayesian approach, and many examples in this book are solved using both methods. The results are then compared and commented upon. Readers have the choice of MATLAB for classical data analysis and WinBUGS/OpenBUGS for Bayesian data analysis. Every chapter starts with a box highlighting what is covered in that chapter and ends with exercises, a list of software scripts, datasets, and references.
Engineering Biostatistics: An Introduction using MATLAB and WinBUGS also includes:
parallel coverage of classical and Bayesian approaches, where appropriate
substantial coverage of Bayesian approaches to statistical inference
material classroom tested in an introductory statistics course in bioengineering over several years
exercises at the end of each chapter and an accompanying website with full solutions to even-numbered exercises, hints for odd-numbered exercises, and additional materials and examples
ISBN-13: 9780444637895
Pub Date: 11/25/2016
Pages: Approx 666 Pages
Product Type: Hardcover
Provides detailed, cutting-edge background explanations of existing algorithms and their analysis
Ideal for readers working on the theoretical aspects of algorithm development and its numerical analysis
Presents a method of different algorithms for specific applications and the relative advantages and limitations of different algorithms for engineers or readers involved in applications
Written by leading subject experts in each field who provide breadth and depth of content coverage
Pub Date: 02/01/2017
Pages: Approx 525 Pages
Product Type: Hardcover
Provides detailed, cutting-edge background explanations of existing algorithms and their analysis
Presents a method of different algorithms for specific applications and the relative advantages and limitations of different algorithms for engineers or those involved in applications
Written by leading subject experts in each field, the volumes provide breadth and depth of content coverage