Due 2020-04-18
1st ed. 2020, X, 733 p. 6 illus.
Hardcover
ISBN 978-3-030-36137-2
Series : Applied and Numerical Harmonic Analysis
Focusses on the connections between the broad areas of modern
mathematics microlocal analysis and time-frequency analysis
Reflects the development of the area from the beginnings up to the present
Gathers contributions by experts and collaborators of Luigi Rodino
The present volume gathers contributions to the conference Microlocal and Time-Frequency
Analysis 2018 (MLTFA18), which was held at Torino University from the 2nd to the 6th of July
2018. The event was organized in honor of Professor Luigi Rodino on the occasion of his 70th
birthday. The conferencefs focus and the contents of the papers reflect Luigifs various research
interests in the course of his long and extremely prolific career at Torino University
Due 2020-04-15
1st ed. 2020, X, 530 p. 4 illus.
Hardcover
ISBN 978-3-030-35913-3
Series : Trends in Mathematics
Compiles a wide range of applications of transmutation theory in one volume
Leads to new research areas and problems
Provides material that may be used for teaching, as parts of university
courses and programs
Transmutation operators in differential equations and spectral theory can be used to reveal the
relations between differentproblems, and often make it possible to transform difficult problems
into easier ones. Accordingly, they represent an important mathematical tool in the theory of
inverse and scattering problems, of ordinary and partial differential equations, integral
transforms and equations, special functions, harmonic analysis, potential theory, and
generalized analytic functions. This volume explores recent advances in the construction and
applications of transmutation operators, while also sharing some interesting historical notes on
the subject
https://doi.org/10.1142/11628 | November 2019
Pages: 232
ISBN: 978-981-121-291-8 (hardcover)
There are connections between invariant theory and modular forms since the times of Felix Klein, in the 19th century, connections between codes and lattices since the 1960's. The aim of the book is to explore the interplay between codes and modular forms. Here modular form is understood in a wide sense (Jacobi forms, Siegel forms, Hilbert forms). Codes comprises not only linear spaces over finite fields but modules over some commutative rings. The connection between codes over finite fields and lattices has been well documented since the 1970s. Due to an avalanche of results on codes over rings since the 1990's there is a need for an update at book level.
Codes vs Lattices: A Dictionary
Modular Forms in One Variable
Siegel Modular Forms
Jacobi Forms
Automorphic Forms over Number Fields
Construction of Self-dual Codes of Higher Lengths over ?2m and Determination of Jacobi Forms
Byte Weight Enumerators of Codes and Modular Forms of Genus g
Byte Weight Enumerators of Codes over ??p and Modular Forms over a Totally Real Field
Graduate students and researchers.
https://doi.org/10.1142/q0232 | March 2020
Pages: 300
ISBN: 978-1-78634-783-1 (hardcover)
ISBN: 978-1-78634-784-8 (softcover)
This book enables STEMM researchers to write effective papers for publication as well as other research-related texts such as a doctoral thesis, technical report, or conference abstract.
Science Research Writing uses a reverse-engineering approach to writing developed from extensive work with STEMM researchers at Imperial College London. This approach unpacks current models of STEMM research writing and helps writers to generate the writing tools needed to operate those models effectively in their own field. The reverse-engineering approach also ensures that writers develop future-proof strategies that will evolve alongside the coming changes in research communication platforms.
The Second Edition has been extensively revised and updated to represent current practice and focuses on the writing needs of both early-stage doctoral STEMM researchers and experienced professional researchers at the highest level, whether or not they are native speakers of English. The book retains the practical, user-friendly format of the First Edition, and now contains seven units that deal separately with the components of written STEMM research communication: Introduction, Method, Results, Discussion, Conclusion, Abstract and Title, as well as extensive FAQ responses and a new Checklist and Tips section. Each unit analyses extracts from recent published STEMM journal papers to enable researchers to discover not only what to write, but, crucially, how to write it.
The global nature of science research requires fast, accurate communication of highly complex information that can be understood by all participants. Like the First Edition, the Second Edition is intended as a clear, do-it-yourself guide to make both the process and the product of STEMM research writing more effective.
Preface to the Second Edition
Introduction
How to Write the Introduction
How to Write about Methods
How to Write about Results
How to Write the Discussion
How to Write the Conclusion Section
How to Write an Abstract
Creating a Title
Checklist and Tips
Writing Skills Index
Language Index
Sources and Credits
Both native and non-native speakers of English including science writers, postgraduate students, researchers and teachers.