Current Developments in Mathematics 2013

Current Developments in Mathematics 2013 PDF Author: David Jerison
Publisher:
ISBN: 9781571462718
Category : Mathematics
Languages : en
Pages : 203

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Book Description

Current Developments in Mathematics 2013

Current Developments in Mathematics 2013 PDF Author: David Jerison
Publisher:
ISBN: 9781571462718
Category : Mathematics
Languages : en
Pages : 203

Get Book Here

Book Description


Recent Developments in Mathematical, Statistical and Computational Sciences

Recent Developments in Mathematical, Statistical and Computational Sciences PDF Author: D. Marc Kilgour
Publisher: Springer Nature
ISBN: 3030635910
Category : Mathematics
Languages : en
Pages : 728

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Book Description
This book constitutes an up-to-date account of principles, methods, and tools for mathematical and statistical modelling in a wide range of research fields, including medicine, health sciences, biology, environmental science, engineering, physics, chemistry, computation, finance, economics, and social sciences. It presents original solutions to real-world problems, emphasizes the coordinated development of theories and applications, and promotes interdisciplinary collaboration among mathematicians, statisticians, and researchers in other disciplines. Based on a highly successful meeting, the International Conference on Applied Mathematics, Modeling and Computational Science, AMMCS 2019, held from August 18 to 23, 2019, on the main campus of Wilfrid Laurier University, Waterloo, Canada, the contributions are the results of submissions from the conference participants. They provide readers with a broader view of the methods, ideas and tools used in mathematical, statistical and computational sciences.

Groups, Modules, and Model Theory - Surveys and Recent Developments

Groups, Modules, and Model Theory - Surveys and Recent Developments PDF Author: Manfred Droste
Publisher: Springer
ISBN: 331951718X
Category : Mathematics
Languages : en
Pages : 493

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Book Description
This volume focuses on group theory and model theory with a particular emphasis on the interplay of the two areas. The survey papers provide an overview of the developments across group, module, and model theory while the research papers present the most recent study in those same areas. With introductory sections that make the topics easily accessible to students, the papers in this volume will appeal to beginning graduate students and experienced researchers alike. As a whole, this book offers a cross-section view of the areas in group, module, and model theory, covering topics such as DP-minimal groups, Abelian groups, countable 1-transitive trees, and module approximations. The papers in this book are the proceedings of the conference “New Pathways between Group Theory and Model Theory,” which took place February 1-4, 2016, in Mülheim an der Ruhr, Germany, in honor of the editors’ colleague Rüdiger Göbel. This publication is dedicated to Professor Göbel, who passed away in 2014. He was one of the leading experts in Abelian group theory.

Numerical Mathematics and Advanced Applications - ENUMATH 2013

Numerical Mathematics and Advanced Applications - ENUMATH 2013 PDF Author: Assyr Abdulle
Publisher: Springer
ISBN: 3319107054
Category : Computers
Languages : en
Pages : 759

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Book Description
This book gathers a selection of invited and contributed lectures from the European Conference on Numerical Mathematics and Advanced Applications (ENUMATH) held in Lausanne, Switzerland, August 26-30, 2013. It provides an overview of recent developments in numerical analysis, computational mathematics and applications from leading experts in the field. New results on finite element methods, multiscale methods, numerical linear algebra and discretization techniques for fluid mechanics and optics are presented. As such, the book offers a valuable resource for a wide range of readers looking for a state-of-the-art overview of advanced techniques, algorithms and results in numerical mathematics and scientific computing.

Recent Developments in Commutative Algebra

Recent Developments in Commutative Algebra PDF Author: Claudia Polini
Publisher: Springer Nature
ISBN: 3030650642
Category : Mathematics
Languages : en
Pages : 127

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Book Description
This book presents four lectures on Rees rings and blow-ups, Koszul modules with applications to syzygies, Gröbner bases and degenerations, and applications of Adams operations. Commutative Algebra has witnessed a number of spectacular developments in recent years, including the resolution of long-standing problems; the new techniques and perspectives are leading to an extraordinary transformation in the field. The material contained in this volume, based on lectures given at a workshop held in Levico Terme, Trento, in July 2019, highlights some of these developments. The text will be a valuable asset to graduate students and researchers in commutative algebra and related fields.

Recent Developments in Fixed-Point Theory

Recent Developments in Fixed-Point Theory PDF Author: Mudasir Younis
Publisher: Springer Nature
ISBN: 9819995469
Category :
Languages : en
Pages : 392

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Book Description


Harmonic Maass Forms and Mock Modular Forms: Theory and Applications

Harmonic Maass Forms and Mock Modular Forms: Theory and Applications PDF Author: Kathrin Bringmann
Publisher: American Mathematical Soc.
ISBN: 1470419440
Category : Mathematics
Languages : en
Pages : 409

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Book Description
Modular forms and Jacobi forms play a central role in many areas of mathematics. Over the last 10–15 years, this theory has been extended to certain non-holomorphic functions, the so-called “harmonic Maass forms”. The first glimpses of this theory appeared in Ramanujan's enigmatic last letter to G. H. Hardy written from his deathbed. Ramanujan discovered functions he called “mock theta functions” which over eighty years later were recognized as pieces of harmonic Maass forms. This book contains the essential features of the theory of harmonic Maass forms and mock modular forms, together with a wide variety of applications to algebraic number theory, combinatorics, elliptic curves, mathematical physics, quantum modular forms, and representation theory.

Mathematics and Computing

Mathematics and Computing PDF Author: Sk. Md. Abu Nayeem
Publisher:
ISBN: 9788184873214
Category : Mathematics
Languages : en
Pages : 0

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Book Description
Consists of sixteen articles chosen from different thrust areas of research on mathematics and computing. Fuzzy mathematics has now become a tool for reconstructing the foundation of several mathematical structures. Some articles in this volume concentrate on fuzzy aspects of analysis (statistical convergence of sequences) and algebra (H-ideals in BCK/ BCI algebras, and matrices over distributive lattices). An article on modern algebra, discussing on endomorphism rings of reduced modules, and another article on some convolution properties of analytic functions possessing fractional derivatives are also included. The environmental pollution issues in the frameworks of dynamical systems and of fuzzy mathematics are discussed in two articles. Some selected articles on fluid mechanics, solid mechanics and astrophysics are included here, as these are considered as some key components of computational and applied mathematics.

Current Trends in Symmetric Polynomials with Their Applications Ⅱ

Current Trends in Symmetric Polynomials with Their Applications Ⅱ PDF Author: Taekyun Kim
Publisher: MDPI
ISBN: 3036503609
Category : Mathematics
Languages : en
Pages : 206

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Book Description
The special issue contains research papers with various topics in many different branches of mathematics, applied mathematics, and mathematical physics. Each paper presents mathematical theory, methods, and their application based on current and recent developing symmetric polynomials. Also, each one aims to provide the full understanding of current research problems, theories, and applications on the chosen topics and contains the most recent advances made in the area of symmetric functions and polynomials.

Sources in the Development of Mathematics

Sources in the Development of Mathematics PDF Author: Ranjan Roy
Publisher: Cambridge University Press
ISBN: 1139497758
Category : Mathematics
Languages : en
Pages : 1139

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Book Description
The discovery of infinite products by Wallis and infinite series by Newton marked the beginning of the modern mathematical era. It allowed Newton to solve the problem of finding areas under curves defined by algebraic equations, an achievement beyond the scope of the earlier methods of Torricelli, Fermat and Pascal. While Newton and his contemporaries, including Leibniz and the Bernoullis, concentrated on mathematical analysis and physics, Euler's prodigious accomplishments demonstrated that series and products could also address problems in algebra, combinatorics and number theory. In this book, Ranjan Roy describes many facets of the discovery and use of infinite series and products as worked out by their originators, including mathematicians from Asia, Europe and America. The text provides context and motivation for these discoveries, with many detailed proofs, offering a valuable perspective on modern mathematics. Mathematicians, mathematics students, physicists and engineers will all read this book with benefit and enjoyment.