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Author : Anonim
Publisher : Unknown
Page : 128 pages
File Size : 55,9 Mb
Release : 2013
Category : Electronic books
ISBN : 1139616900
Author : Society for the Foundation of Computational Mathematics
Publisher : Cambridge University Press
Page : 249 pages
File Size : 51,5 Mb
Release : 2013
Category : Computers
ISBN : 9781107604070
A diverse collection of articles by leading experts in computational mathematics, written to appeal to established researchers and non-experts.
Author : Luis M. Pardo,Jose Luis Montaña
Publisher : American Mathematical Soc.
Page : 202 pages
File Size : 41,6 Mb
Release : 2014-11-12
Category : Computers
ISBN : 9780821891506
This volume is composed of six contributions derived from the lectures given during the UIMP-RSME Lluis Santalo Summer School on ``Recent Advances in Real Complexity and Computation'', held July 16-20, 2012, in Santander, Spain. The goal of this Summer School was to present some of the recent advances on Smale's 17th Problem: ``Can a zero of $n$ complex polynomial equations in $n$ unknowns be found approximately, on the average, in polynomial time with a uniform algorithm?'' These papers cover several aspects of this problem: from numerical to symbolic methods in polynomial equation solving, computational complexity aspects (both worse and average cases and both upper and lower complexity bounds) as well as aspects of the underlying geometry of the problem. Some of the contributions also deal with either real or multiple solutions solving.
Author : Joppe Bos,Martijn Stam
Publisher : Unknown
Page : 402 pages
File Size : 45,6 Mb
Release : 2021-12-09
Category : Language Arts & Disciplines
ISBN : 9781108848428
The area of computational cryptography is dedicated to the development of effective methods in algorithmic number theory that improve implementation of cryptosystems or further their cryptanalysis. This book is a tribute to Arjen K. Lenstra, one of the key contributors to the field, on the occasion of his 65th birthday, covering his best-known scientific achievements in the field. Students and security engineers will appreciate this no-nonsense introduction to the hard mathematical problems used in cryptography and on which cybersecurity is built, as well as the overview of recent advances on how to solve these problems from both theoretical and practical applied perspectives. Beginning with polynomials, the book moves on to the celebrated Lenstra-Lenstra-Lovász lattice reduction algorithm, and then progresses to integer factorization and the impact of these methods to the selection of strong cryptographic keys for usage in widely used standards.
Author : Felipe Cucker,Joseph Maurice Rojas
Publisher : World Scientific
Page : 488 pages
File Size : 50,9 Mb
Release : 2002
Category : Mathematics
ISBN : 9812778039
This invaluable book contains 19 papers selected from those submitted to a conference held in Hong Kong in July 2000 to celebrate the 70th birthday of Professor Steve Smale. It may be regarded as a continuation of the proceedings of SMALEFEST 1990 ("From Topology to Computation") held in Berkeley, USA, 10 years before, but with the focus on the area in which Smale worked more intensively during the '90's, namely the foundations of computational mathematics.
Author : Michael W. Mahoney,John C. Duchi,Anna C. Gilbert
Publisher : American Mathematical Soc.
Page : 325 pages
File Size : 42,8 Mb
Release : 2018-11-15
Category : Big data
ISBN : 9781470435752
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Author : Michele Benzi,Dario Bini,Daniel Kressner,Hans Munthe-Kaas,Charles Van Loan
Publisher : Springer
Page : 406 pages
File Size : 53,5 Mb
Release : 2017-01-24
Category : Mathematics
ISBN : 9783319498874
Focusing on special matrices and matrices which are in some sense `near’ to structured matrices, this volume covers a broad range of topics of current interest in numerical linear algebra. Exploitation of these less obvious structural properties can be of great importance in the design of efficient numerical methods, for example algorithms for matrices with low-rank block structure, matrices with decay, and structured tensor computations. Applications range from quantum chemistry to queuing theory. Structured matrices arise frequently in applications. Examples include banded and sparse matrices, Toeplitz-type matrices, and matrices with semi-separable or quasi-separable structure, as well as Hamiltonian and symplectic matrices. The associated literature is enormous, and many efficient algorithms have been developed for solving problems involving such matrices. The text arose from a C.I.M.E. course held in Cetraro (Italy) in June 2015 which aimed to present this fast growing field to young researchers, exploiting the expertise of five leading lecturers with different theoretical and application perspectives.
Author : Susan D'Agostino,Sarah Bryant,Amy Buchmann,Michelle Craddock Guinn,Leona Harris
Publisher : Springer Nature
Page : 390 pages
File Size : 46,7 Mb
Release : 2019-08-31
Category : Mathematics
ISBN : 9783030194864
The Enhancing Diversity in Graduate Education (EDGE) Program began twenty years ago to provide support for women entering doctoral programs in the mathematical sciences. With a steadfast commitment to diversity among participants, faculty, and staff, EDGE initially alternated between Bryn Mawr and Spelman Colleges. In later years, EDGE has been hosted on campuses around the nation and expanded to offer support for women throughout their graduate school and professional careers. The refereed papers in A Celebration of the EDGE Program’s Impact on the Mathematics Community and Beyond range from short memoirs, to pedagogical studies, to current mathematics research. All papers are written by former EDGE participants, mentors, instructors, directors, and others connected to EDGE. Together, these papers offer compelling testimony that EDGE has produced a diverse new generation of leaders in the mathematics community. This volume contains technical and non-technical works, and it is intended for a far-reaching audience, including mathematicians, mathematics teachers, diversity officers, university administrators, government employees writing educational or science policy, and mathematics students at the high school, college, and graduate levels. By highlighting the scope of the work done by those supported by EDGE, the volume offers strong evidence of the American Mathematical Society’s recognition that EDGE is "a program that makes a difference.” This volume offers unique testimony that a 20-year old summer program has expanded its reach beyond the summer experience to produce a diverse new generation of women leaders, nearly half of whom are underrepresented women. While some books with a women-in-math theme focus only on one topic such as research or work-life balance, this book's broad scope includes papers on mathematics research, teaching, outreach, and career paths.
Author : Alexander A. Ivanov
Publisher : Cambridge University Press
Page : 584 pages
File Size : 42,7 Mb
Release : 2023-08-17
Category : Mathematics
ISBN : 9781009338059
Covering, arguably, one of the most attractive and mysterious mathematical objects, the Monster group, this text strives to provide an insightful introduction and the discusses the current state of the field. The Monster group is related to many areas of mathematics, as well as physics, from number theory to string theory. This book cuts through the complex nature of the field, highlighting some of the mysteries and intricate relationships involved. Containing many meaningful examples and a manual introduction to the computer package GAP, it provides the opportunity and resources for readers to start their own calculations. Some 20 experts here share their expertise spanning this exciting field, and the resulting volume is ideal for researchers and graduate students working in Combinatorial Algebra, Group theory and related areas.
Author : David Jordan,Nadia Mazza,Sibylle Schroll
Publisher : Cambridge University Press
Page : 407 pages
File Size : 49,5 Mb
Release : 2023-08-17
Category : Mathematics
ISBN : 9781009097352
Expanding upon the material delivered during the LMS Autumn Algebra School 2020, this volume reflects the fruitful connections between different aspects of representation theory. Each survey article addresses a specific subject from a modern angle, beginning with an exploration of the representation theory of associative algebras, followed by the coverage of important developments in Lie theory in the past two decades, before the final sections introduce the reader to three strikingly different aspects of group theory. Written at a level suitable for graduate students and researchers in related fields, this book provides pure mathematicians with a springboard into the vast and growing literature in each area.
Author : Aurelian Gheondea
Publisher : Cambridge University Press
Page : 128 pages
File Size : 52,8 Mb
Release : 2022-07-28
Category : Mathematics
ISBN : 9781108981279
This modern introduction to operator theory on spaces with indefinite inner product discusses the geometry and the spectral theory of linear operators on these spaces, the deep interplay with complex analysis, and applications to interpolation problems. The text covers the key results from the last four decades in a readable way with full proofs provided throughout. Step by step, the reader is guided through the intricate geometry and topology of spaces with indefinite inner product, before progressing to a presentation of the geometry and spectral theory on these spaces. The author carefully highlights where difficulties arise and what tools are available to overcome them. With generous background material included in the appendices, this text is an excellent resource for researchers in operator theory, functional analysis, and related areas as well as for graduate students.
Author : Chris Godsil,Hanmeng Zhan
Publisher : Cambridge University Press
Page : 151 pages
File Size : 48,7 Mb
Release : 2022-12-31
Category : Computers
ISBN : 9781009261685
Explore the mathematics arising from discrete quantum walks in this introduction to a rapidly developing area.
Author : Carolina Araujo,Ana-Maria Castravet,Ivan Cheltsov,Kento Fujita,Anne-Sophie Kaloghiros,Jesus Martinez-Garcia,Constantin Shramov,Hendrik Süß,Nivedita Viswanathan
Publisher : Cambridge University Press
Page : 451 pages
File Size : 55,9 Mb
Release : 2023-06-30
Category : Mathematics
ISBN : 9781009193399
This book determines whether the general element of each family of Fano threefolds is K-polystable, a major problem in mathematics.
Author : Anthony Nixon,Sean Prendiville
Publisher : Cambridge University Press
Page : 257 pages
File Size : 46,6 Mb
Release : 2022-06-09
Category : Mathematics
ISBN : 9781009096225
This volume contains surveys of current research directions in combinatorics written by leading researchers in their fields.
Author : Vladimir Dotsenko,Sergey Shadrin,Bruno Vallette
Publisher : Cambridge University Press
Page : 187 pages
File Size : 40,6 Mb
Release : 2023-08-31
Category : Mathematics
ISBN : 9781108965644
Covering an exceptional range of topics, this text provides a unique overview of the Maurer-Cartan methods in algebra, geometry, topology, and mathematical physics. It offers a new conceptual treatment of the twisting procedure, guiding the reader through various versions with the help of plentiful motivating examples for graduate students as well as researchers. Topics covered include a novel approach to the twisting procedure for operads leading to Kontsevich graph homology and a description of the twisting procedure for (homotopy) associative algebras or (homotopy) Lie algebras using the biggest deformation gauge group ever considered. The book concludes with concise surveys of recent applications in areas including higher category theory and deformation theory.