EMS Textbooks in Mathematics Volume: 22
2018; 343 pp; Hardcover
MSC: Primary 20; 17;
Print ISBN: 978-3-03719-187-3
The interest in Kac-Moody algebras and groups has grown exponentially in the past decades, both in the mathematical and physics communities, and with it the need for an introductory textbook on the topic.
The aim of this book is twofold: (1) to offer an accessible, reader-friendly, and self-contained introduction to Kac-Moody algebras and groups; and (2) to “clean the foundations” and provide a unified treatment of the theory.
The book starts with an outline of the classical Lie theory, used to set the scene. Part II provides a self-contained introduction to Kac-Moody algebras. The heart of the book is Part III, which develops an intuitive approach to the construction and fundamental properties of Kac?Moody groups. It is complemented by two appendices that offer introductions to affine group schemes and to the theory of buildings.
Many exercises are included. The book assumes only a minimal background in linear algebra and basic topology and is addressed to anyone interested in learning about Kac-Moody algebras and/or groups, from graduate (master) students to specialists.
Graduate students and researchers interested in Kac-Moody algebras.
2018; 901 pp; Hardcover
MSC: Primary 00;
Print ISBN: 978-3-03719-176-7
The European Congress of Mathematics, held every four years, is a well-established major international mathematical event. Following those in Paris (1992), Budapest (1996), Barcelona (2000), Stockholm (2004), Amsterdam (2008), and Krakow (2012), the Seventh European Congress of Mathematics (7ECM) took place in Berlin, Germany, July 18?22, 2016, with about 1100 participants from all over the world.
Ten plenary, thirty-three invited, and four special lectures formed the core of the program. As at all the previous EMS congresses, ten outstanding young mathematicians received the EMS prizes in recognition of their research achievements. In addition, two more prizes were awarded: The Felix Klein Prize for a remarkable solution of an industrial problem, and?for the second time?the Otto Neugebauer Prize for a highly original and influential piece of work in the history of mathematics. The program was complemented by forty-three minisymposia with about 160 talks as well as contributed talks that ranged over all areas of mathematics. Several panel discussions and meetings were organized, covering a variety of issues ranging from the future of mathematical publishing to public awareness of mathematics.
These proceedings present extended versions of most of the plenary and invited lectures delivered during the congress, providing a permanent record of the best of what mathematics offers today.
Graduate students and research mathematicians interested in the lectures discussed at the 2016 European Congress of Mathematicians (7ECM).
Advanced Lectures in Mathematics: Volume 42
Published: 15 August 2018
9781571463630
Paperback
630 pages
The uniformization theorem of Riemann surfaces is one of the most beautiful
and important theorems in mathematics. Besides giving a clean classification
of Riemann surfaces, its proof has motivated many new methods, such as
the Riemann-Hilbert correspondence, Picard?Fuchs equations, and higher-dimensional
generalizations of the uniformization theorem, which include Calabi-Yau
manifolds.
This volume consists of expository papers on the four topics in its title, written by experts from around the world, and is the first to put forth a comprehensive discussion of these topics, and of the relations between them. As such, it is valuable as an introduction for beginners, and as a reference for mathematicians in general.
ISBN: 978-1-118-16401-3
Sep 2018
448 pages
PAPERBACK
Partial Differential Equations: An Introduction, 3rd Edition covers the fundamental properties of partial differential equations (PDEs) and proven techniques useful in analyzing them. The text uses a broad approach to illustrate the rich diversity of phenomena such as vibrations of solids, fluid flow, molecular structure, photon and electron interactions, radiation of electromagnetic waves encompassed by this subject as well as the role PDEs play in modern mathematics, especially geometry and analysis.
ISBN: 978-1-119-52378-9
Oct 2018
560 pages
HARDCOVER
A guide that provides in-depth coverage of modeling techniques used throughout many branches of actuarial science, revised and updated
Now in its fifth edition, Loss Models: From Data to Decisions puts the focus on material tested in the Society of Actuaries (SOA) newly revised Exams STAM (Short-Term Actuarial Mathematics) and LTAM (Long-Term Actuarial Mathematics). Updated to reflect these exam changes, this vital resource offers actuaries, and those aspiring to the profession, a practical approach to the concepts and techniques needed to succeed in the profession. The techniques are also valuable for anyone who uses loss data to build models for assessing risks of any kind.
Loss Models contains a wealth of examples that highlight the real-world applications of the concepts presented, and puts the emphasis on calculations and spreadsheet implementation. With a focus on the loss process, the book reviews the essential quantitative techniques such as random variables, basic distributional quantities, and the recursive method, and discusses techniques for classifying and creating distributions. Parametric, non-parametric, and Bayesian estimation methods are thoroughly covered. In addition, the authors offer practical advice for choosing an appropriate model. This important text:
* Presents a revised and updated edition of the classic guide for actuaries that aligns with newly introduced Exams STAM and LTAM
* Contains a wealth of exercises taken from previous exams
* Includes fresh and additional content related to the material required by the Society of Actuaries (SOA) and the Canadian Institute of Actuaries (CIA)
* Offers a solutions manual available for further insight, and all the data sets and supplemental material are posted on a companion site
Written for students and aspiring actuaries who are preparing to take the SOA examinations, Loss Models offers an essential guide to the concepts and techniques of actuarial science.