Surveys in Contemporary Mathematics

Surveys in Contemporary Mathematics PDF Author: Nicholas Young
Publisher: Cambridge University Press
ISBN: 0521705649
Category : Education
Languages : en
Pages : 370

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Book Description
A collection of articles showcasing the achievements of young Russian researchers in combinatorial and algebraic geometry and topology.

Surveys in Contemporary Mathematics

Surveys in Contemporary Mathematics PDF Author: Nicholas Young
Publisher: Cambridge University Press
ISBN: 0521705649
Category : Education
Languages : en
Pages : 370

Get Book Here

Book Description
A collection of articles showcasing the achievements of young Russian researchers in combinatorial and algebraic geometry and topology.

Open Problems and Surveys of Contemporary Mathematics

Open Problems and Surveys of Contemporary Mathematics PDF Author: Lizhen Ji
Publisher:
ISBN: 9781571462787
Category : Geometry, Differential
Languages : en
Pages : 477

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Book Description


Surveys in Modern Mathematics

Surveys in Modern Mathematics PDF Author: Viktor Vasilʹevich Prasolov
Publisher: Cambridge University Press
ISBN: 0521547938
Category : Mathematics
Languages : en
Pages : 360

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Book Description
Topics covered range from computational complexity, algebraic geometry, dynamics, through to number theory and quantum groups.

Contemporary Design Theory

Contemporary Design Theory PDF Author: Jeffrey H. Dinitz
Publisher: John Wiley & Sons
ISBN: 9780471531418
Category : Mathematics
Languages : en
Pages : 660

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Book Description
Foremost experts in their field have contributed articles resulting in a compilation of useful and timely surveys in this ever-expanding field. Each of these 12 original papers covers important aspects of design theory including several in areas that have not previously been surveyed. Also contains surveys updating earlier ones where research is particularly active.

Synthetic Philosophy of Contemporary Mathematics

Synthetic Philosophy of Contemporary Mathematics PDF Author: Fernando Zalamea
Publisher: National Geographic Books
ISBN: 0956775012
Category : Philosophy
Languages : en
Pages : 0

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Book Description
A panoramic survey of the vast spectrum of modern and contemporary mathematics and the new philosophical possibilities they suggest. A panoramic survey of the vast spectrum of modern and contemporary mathematics and the new philosophical possibilities they suggest, this book gives the inquisitive non-specialist an insight into the conceptual transformations and intellectual orientations of modern and contemporary mathematics. The predominant analytic approach, with its focus on the formal, the elementary and the foundational, has effectively divorced philosophy from the real practice of mathematics and the profound conceptual shifts in the discipline over the last century. The first part discusses the specificity of modern (1830–1950) and contemporary (1950 to the present) mathematics, and reviews the failure of mainstream philosophy of mathematics to address this specificity. Building on the work of the few exceptional thinkers to have engaged with the “real mathematics” of their era (including Lautman, Deleuze, Badiou, de Lorenzo and Châtelet), Zalamea challenges philosophy's self-imposed ignorance of the “making of mathematics.” In the second part, thirteen detailed case studies examine the greatest creators in the field, mapping the central advances accomplished in mathematics over the last half-century, exploring in vivid detail the characteristic creative gestures of modern master Grothendieck and contemporary creators including Lawvere, Shelah, Connes, and Freyd. Drawing on these concrete examples, and oriented by a unique philosophical constellation (Peirce, Lautman, Merleau-Ponty), in the third part Zalamea sets out the program for a sophisticated new epistemology, one that will avail itself of the powerful conceptual instruments forged by the mathematical mind, but which have until now remained largely neglected by philosophers.

Recent Developments in Quantum Affine Algebras and Related Topics

Recent Developments in Quantum Affine Algebras and Related Topics PDF Author: Naihuan Jing
Publisher: American Mathematical Soc.
ISBN: 0821811991
Category : Mathematics
Languages : en
Pages : 482

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Book Description
This volume reflects the proceedings of the International Conference on Representations of Affine and Quantum Affine Algebras and Their Applications held at North Carolina State University (Raleigh). In recent years, the theory of affine and quantum affine Lie algebras has become an important area of mathematical research with numerous applications in other areas of mathematics and physics. Three areas of recent progress are the focus of this volume: affine and quantum affine algebras and their generalizations, vertex operator algebras and their representations, and applications in combinatorics and statistical mechanics. Talks given by leading international experts at the conference offered both overviews on the subjects and current research results. The book nicely presents the interplay of these topics recently occupying "centre stage" in the theory of infinite dimensional Lie theory.

75 Years of Mathematics of Computation

75 Years of Mathematics of Computation PDF Author: Susanne C. Brenner
Publisher: American Mathematical Soc.
ISBN: 1470451638
Category : Education
Languages : en
Pages : 378

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Book Description
The year 2018 marked the 75th anniversary of the founding of Mathematics of Computation, one of the four primary research journals published by the American Mathematical Society and the oldest research journal devoted to computational mathematics. To celebrate this milestone, the symposium “Celebrating 75 Years of Mathematics of Computation” was held from November 1–3, 2018, at the Institute for Computational and Experimental Research in Mathematics (ICERM), Providence, Rhode Island. The sixteen papers in this volume, written by the symposium speakers and editors of the journal, include both survey articles and new contributions. On the discrete side, there are four papers covering topics in computational number theory and computational algebra. On the continuous side, there are twelve papers covering topics in machine learning, high dimensional approximations, nonlocal and fractional elliptic problems, gradient flows, hyperbolic conservation laws, Maxwell's equations, Stokes's equations, a posteriori error estimation, and iterative methods. Together they provide a snapshot of significant achievements in the past quarter century in computational mathematics and also in important current trends.

Geometry and Topology Down Under

Geometry and Topology Down Under PDF Author: Craig D. Hodgson
Publisher: American Mathematical Soc.
ISBN: 0821884808
Category : Mathematics
Languages : en
Pages : 395

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Book Description
This book contains the proceedings of the conference Geometry & Topology Down Under, held July 11-22, 2011, at the University of Melbourne, Parkville, Australia, in honour of Hyam Rubinstein. The main topic of the book is low-dimensional geometry and topology. It includes both survey articles based on courses presented at the conferences and research articles devoted to important questions in low-dimensional geometry. Together, these contributions show how methods from different fields of mathematics contribute to the study of 3-manifolds and Gromov hyperbolic groups. It also contains a list of favorite problems by Hyam Rubinstein.

Recent Advances in Scientific Computing and Applications

Recent Advances in Scientific Computing and Applications PDF Author: Jichun Li
Publisher: American Mathematical Soc.
ISBN: 0821887378
Category : Mathematics
Languages : en
Pages : 397

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Book Description
This volume contains the proceedings of the Eighth International Conference on Scientific Computing and Applications, held April 1-4, 2012, at the University of Nevada, Las Vegas. The papers in this volume cover topics such as finite element methods, multiscale methods, finite difference methods, spectral methods, collocation methods, adaptive methods, parallel computing, linear solvers, applications to fluid flow, nano-optics, biofilms, finance, magnetohydrodynamics flow, electromagnetic waves, the fluid-structure interaction problem, and stochastic PDEs. This book will serve as an excellent reference for graduate students and researchers interested in scientific computing and its applications.

Concepts of Modern Mathematics

Concepts of Modern Mathematics PDF Author: Ian Stewart
Publisher: Courier Corporation
ISBN: 0486134954
Category : Mathematics
Languages : en
Pages : 367

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Book Description
In this charming volume, a noted English mathematician uses humor and anecdote to illuminate the concepts of groups, sets, subsets, topology, Boolean algebra, and other mathematical subjects. 200 illustrations.