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Author : Wolfgang Metzler,Stephan Rosebrock
Publisher : Cambridge University Press
Page : 193 pages
File Size : 44,9 Mb
Release : 2018
Category : Mathematics
ISBN : 9781316600900
Presents the current state of knowledge in all aspects of two-dimensional homotopy theory. Useful for both students and experts.
Author : Cynthia Hog-Angeloni,Wolfgang Metzler,Allan J. Sieradski
Publisher : Unknown
Page : 428 pages
File Size : 54,7 Mb
Release : 1994
Category : Combinatorial group theory
ISBN : 1107366844
This book considers the current state of knowledge in the geometric and algebraic aspects of two-dimensional homotopy theory.
Author : Konrad K. Dabrowski,Maximilien Gadouleau,Nicholas Georgiou,Matthew Johnson,George B. Mertzios,Daniël Paulusma
Publisher : Cambridge University Press
Page : 379 pages
File Size : 54,5 Mb
Release : 2021-06-24
Category : Mathematics
ISBN : 9781009018883
These nine articles provide up-to-date surveys of topics of contemporary interest in combinatorics.
Author : Anthony Nixon,Sean Prendiville
Publisher : Cambridge University Press
Page : 257 pages
File Size : 49,8 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 : Fosco Loregian
Publisher : Cambridge University Press
Page : 331 pages
File Size : 43,6 Mb
Release : 2021-07-22
Category : Mathematics
ISBN : 9781108746120
This easy-to-cite handbook gives the first systematic treatment of the (co)end calculus in category theory and its applications.
Author : Gerardo Arizmendi Echegaray,Luis Hernández-Lamoneda,Rafael Herrera Guzmán
Publisher : Springer Nature
Page : 119 pages
File Size : 44,6 Mb
Release : 2022-10-27
Category : Mathematics
ISBN : 9783030992989
This volume is devoted to various aspects of Alexandrov Geometry for those wishing to get a detailed picture of the advances in the field. It contains enhanced versions of the lecture notes of the two mini-courses plus those of one research talk given at CIMAT. Peter Petersen’s part aims at presenting various rigidity results about Alexandrov spaces in a way that facilitates the understanding by a larger audience of geometers of some of the current research in the subject. They contain a brief overview of the fundamental aspects of the theory of Alexandrov spaces with lower curvature bounds, as well as the aforementioned rigidity results with complete proofs. The text from Fernando Galaz-García’s minicourse was completed in collaboration with Jesús Nuñez-Zimbrón. It presents an up-to-date and panoramic view of the topology and geometry of 3-dimensional Alexandrov spaces, including the classification of positively and non-negatively curved spaces and the geometrization theorem. They also present Lie group actions and their topological and equivariant classifications as well as a brief account of results on collapsing Alexandrov spaces. Jesús Nuñez-Zimbrón’s contribution surveys two recent developments in the understanding of the topological and geometric rigidity of singular spaces with curvature bounded below.
Author : Alexander A. Ivanov
Publisher : Cambridge University Press
Page : 584 pages
File Size : 52,6 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 : Felix Fischer,Robert Johnson
Publisher : Cambridge University Press
Page : 305 pages
File Size : 50,6 Mb
Release : 2024-06-13
Category : Mathematics
ISBN : 9781009490535
This volume contains surveys of current research directions in combinatorics written by leading researchers in their fields.
Author : Aurelian Gheondea
Publisher : Cambridge University Press
Page : 511 pages
File Size : 50,8 Mb
Release : 2022-07-28
Category : Mathematics
ISBN : 9781108969031
Presents a modern, readable introduction to spaces with indefinite inner product and their operator theory.
Author : Jeffrey Shallit
Publisher : Cambridge University Press
Page : 376 pages
File Size : 49,5 Mb
Release : 2022-09-30
Category : Computers
ISBN : 9781108786973
Automatic sequences are sequences over a finite alphabet generated by a finite-state machine. This book presents a novel viewpoint on automatic sequences, and more generally on combinatorics on words, by introducing a decision method through which many new results in combinatorics and number theory can be automatically proved or disproved with little or no human intervention. This approach to proving theorems is extremely powerful, allowing long and error-prone case-based arguments to be replaced by simple computations. Readers will learn how to phrase their desired results in first-order logic, using free software to automate the computation process. Results that normally require multipage proofs can emerge in milliseconds, allowing users to engage with mathematical questions that would otherwise be difficult to solve. With more than 150 exercises included, this text is an ideal resource for researchers, graduate students, and advanced undergraduates studying combinatorics, sequences, and number theory.
Author : David Jordan,Nadia Mazza,Sibylle Schroll
Publisher : Cambridge University Press
Page : 407 pages
File Size : 43,5 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 : Scott Balchin,David Barnes,Magdalena Kędziorek,Markus Szymik
Publisher : Cambridge University Press
Page : 357 pages
File Size : 43,9 Mb
Release : 2021-11-18
Category : Mathematics
ISBN : 9781108931946
A collection of research papers, both new and expository, based on the interests of Professor J. P. C. Greenlees.
Author : Edgard A. Pimentel
Publisher : Cambridge University Press
Page : 204 pages
File Size : 51,5 Mb
Release : 2022-06-30
Category : Mathematics
ISBN : 9781009103121
Presenting the basics of elliptic PDEs in connection with regularity theory, the book bridges fundamental breakthroughs – such as the Krylov–Safonov and Evans–Krylov results, Caffarelli's regularity theory, and the counterexamples due to Nadirashvili and Vlăduţ – and modern developments, including improved regularity for flat solutions and the partial regularity result. After presenting this general panorama, accounting for the subtleties surrounding C-viscosity and Lp-viscosity solutions, the book examines important models through approximation methods. The analysis continues with the asymptotic approach, based on the recession operator. After that, approximation techniques produce a regularity theory for the Isaacs equation, in Sobolev and Hölder spaces. Although the Isaacs operator lacks convexity, approximation methods are capable of producing Hölder continuity for the Hessian of the solutions by connecting the problem with a Bellman equation. To complete the book, degenerate models are studied and their optimal regularity is described.
Author : Joppe Bos,Martijn Stam
Publisher : Cambridge University Press
Page : 400 pages
File Size : 49,5 Mb
Release : 2021-12-02
Category : Language Arts & Disciplines
ISBN : 9781108795937
A guide to cryptanalysis and the implementation of cryptosystems, written for students and security engineers by leading experts.
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 : 44,5 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.
