Series
Lecture Notes in Mathematics
Due 2018-11-07
1st ed. 2018, X, 140 p. 25
illus., 2 illus. in color.
Softcover
ISBN 978-3-030-01287-8
Offers a clearly written, timely addition to the literature
Provides concrete results complementing the more philosophical ideas of
Sakellaridis Reviews many recent results and reformulates them in a more natural form
This book focuses on a conjectural class of zeta integrals which arose from a program born in
the work of Braverman and Kazhdan around the year 2000, the eventual goal being to prove
the analytic continuation and functional equation of automorphic L-functions. Developing a
general framework that could accommodate Schwartz spaces and the corresponding zeta
integrals, the author establishes a formalism, states desiderata and conjectures, draws
implications from these assumptions, and shows how known examples fit into this framework,
supporting Sakellaridis' vision of the subject. The collected results, both old and new, and the
included extensive bibliography, will be valuable to anyone who wishes to understand this
program, and to those who are already working on it and want to overcome certain frequently
occurring technical difficulties.
Series
CMS Books in Mathematics
Due 2018-12-07
1st ed. 2018, X, 510 p.
Hardcover
ISBN 978-3-030-01402-5
Provides an up-to-date compendium of results
Helps the reader to envision what is explained in the text
Introduces the reader to several tools and disciplines which are applicable in
the study of cubic fields
The objective of this book is to provide tools for solving problems which involve cubic number
fields. Many such problems can be considered geometrically; both in terms of the geometry of
numbers and geometry of the associated cubic Diophantine equations that are similar in many
ways to the Pell equation. With over 50 geometric diagrams, this book includes illustrations of
many of these topics. The book may be thought of as a companion reference for those
students of algebraic number theory who wish to find more examples, a collection of recent
research results on cubic fields, an easy-to-understand source for learning about Voronoi’s unit
algorithm and several classical results which are still relevant to the field, and a book which
helps bridge a gap in understanding connections between algebraic geometry and number
theory. The exposition includes numerous discussions on calculating with cubic fields including
simple continued fractions of cubic irrational numbers, arithmetic using integer matrices, ideal
class group computations, lattices over cubic fields, construction of cubic fields with a given
discriminant, the search for elements of norm 1 of a cubic field with rational parametrization,
and Voronoi's algorithm for finding a system of fundamental units. Throughout, the discussions
are framed in terms of a binary cubic form that may be used to describe a given cubic field.
This unifies the chapters of this book despite the diversity of their number theoretic topics.
Series
Trends in Mathematics
Due 2018-12-26
Approx. 75 p.
Softcover
ISBN 978-3-030-01152-9
Offers a selection of short papers based on the presentations that were made
at the 8th International Workshop on MUlti-Rate Processes and HYSteresis
and 3rd International Workshop on Hysteresis and Slow-Fast Systems
Focuses on multiple scale phenomena, singular perturbations, phase
transitions, and hysteresis phenomena
This volume contains extended abstracts outlining selected presentations given by participants
of the joint international multidisciplinary workshop MURPHYS-HSFS-2016 (MUltiRate Processes
and HYSteresis; Hysteresis and Slow-Fast Systems), which was dedicated to the mathematical
theory and applications of multiple scale systems and systems with hysteresis, and held at the
Centre de Recerca Matematica (CRM) in Barcelona fromJune 13th to 17th, 2016. The collection
includes brief research articles on new results, preliminary work, open problems, and the
outcomes of group work initiated during the workshop. The book addresses multiple scale
phenomena, singular perturbations, phase transitions, and hysteresis phenomena occurring in
mathematical, physical, economic, engineering and information systems. Its scope includes
both new results in the theory of hysteresis, singularly perturbed systems and dynamical
systems in general; and applications to the physical, chemical, biological, microbiological,
economic, and engineering sciences, such as: elasto-plasticity and mechanical structures,
damage processes, magnetic materials, photonics and optoelectronics, energy storage systems,
hydrology, biology, semiconductor lasers, and shock phenomena in economic modeling. Given
its breadth of coverage, the book offers a valuable resource for established researchers, as
well as for PhD and postdoctoral students who want to learn more about the latest advances
in these highly active research areas.
Series
Trends in Mathematics
Due 2018-12-15
1st ed. 2018, XI, 504 p. 310
illus., 242 illus. in color.
Hardcover
ISBN 978-3-030-01122-2
This volume is the first of two containing selected papers from the International Conference on
Advances in Mathematics (ICAMS), held at the Vellore Institute of Technology in December
2017. This meeting brought together researchers from around the world to share their work,
with the aim of promoting collaboration as a means of solving various problems in modern
science and engineering. The authors of each chapter present a research problem, techniques
suitable for solving it, and a discussion of the results obtained. These volumes will be of
interest to both theoretical- and application-oriented individuals in academia and industry.
Papers in Volume I are dedicated to active and open areas of research in algebra, analysis,
operations research, and statistics, and those of Volume II consider differential equations, fluid
mechanics, and graph theory.
Series
Trends in Mathematics
Due 2018-12-15
1st ed. 2018, XIV, 396 p. 72
illus., 32 illus. in color.
Hardcover
ISBN 978-3-030-01119-2
This volume is the first of two containing selected papers from the International Conference on
Advances in Mathematical Sciences, Vellore, India, December 2017 - Volume I. This meeting
brought together researchers from around the world to share their work, with the aim of
promoting collaboration as a means of solving various problems in modern science and
engineering. The authors of each chapter present a research problem, techniques suitable for
solving it, and a discussion of the results obtained. These volumes will be of interest to both
theoretical- and application-oriented individuals in academia and industry. Papers in Volume I
are dedicated to active and open areas of research in algebra, analysis, operations research,
and statistics, and those of Volume II consider differential equations, fluid mechanics, and
graph theory.
Due 2018-12-29
1st ed. 2018, XIV, 233 p. 41 illus.
Hardcover
ISBN 978-3-319-91628-6
Introduces beginning undergraduate students to Quantum Theory and
developments in QIC, without exposure to upper-level physics and
mathematics
Allows a broad-range of course offerings spanning Physics, Engineering, Math
and Computer Science
Integrates Mathematica-based software examples and projects into the
textbook, which offers a “hands-on" experience and facilitates navigation of
difficult abstract concepts
This book addresses and introduces new developments in the field of Quantum Information
and Computing (QIC) for a primary audience of undergraduate students. Developments over
the past few decades have spurred the need for QIC courseware at major research institutions.
This book broadens the exposure of QIC science to the undergraduate market. The subject
matter is introduced in such a way so that it is accessible to students with only a first-year
calculus background. Greater accessibility allows a broader range of academic offerings.
Courses, based on this book, could be offered in the Physics, Engineering, Math and Computer
Science departments. This textbook incorporates Mathematica-based examples into the book. In
this way students are allowed a hands-on experience in which difficult abstract concepts are
actualized by simulations. The students can ‘turn knobs" in parameter space and explore how
the system under study responds. The incorporation of symbolic manipulation software into
course-ware allows a more holistic approach to the teaching of difficult concepts. Mathematica
software is used here because it is easy to use and allows a fast learning curve for students
who have limited experience with scientific programming.