Abstract

Ernst Witt (1911-1991) was one of the most ingenious mathematicians of his century and has decisively shaped the development of various mathematical fields like algebra, number theory, group theory, combinatorics and Lie theory. Among his most important...

Ernest Rutherford (New Zealand-British physicist, 1871-1937), the 1908 Nobel Laureate who discovered the existence of atomic nuclei, is famously quoted as having said: "Physics is the only real science. All the rest is butter?y collecting." Or something...

This book, together with Linear Algebra, constitutes a curriculum for an algebra program addressed to undergraduates. The separation of the hnear algebra from the other basic algebraic structures fits all existing tendencies affecting undergraduate...

An Invitation to Representation Theory offers an introduction to groups and their representations, suitable for undergraduates. In this book, the ubiquitous symmetric group and its natural action on polynomials are used as a gateway to representation...

This book consists of three parts, rather different in level and purpose: The first part was originally written for quantum chemists. It describes the correspondence, due to Frobenius, between linear representations and charac ters. This is a...

The theory of algebraic groups results from the interaction of various basic techniques from field theory, multilinear algebra, commutative ring theory, algebraic geometry and general algebraic representation theory of groups and Lie algebras. It is thus...

This updated and revised edition of David Joyner's entertaining "hands-on" tour of group theory and abstract algebra brings life, levity, and practicality to the topics through mathematical toys. Joyner uses permutation puzzles such as the Rubik's Cube...

This carefully written textbook provides an accessible introduction to the representation theory of algebras, including representations of quivers.The book starts with basic topics on algebras and modules, covering fundamental results such as the...

Higher category theory is generally regarded as technical and forbidding, but part of it is considerably more tractable: the theory of infinity-categories, higher categories in which all higher morphisms are assumed to be invertible. In Higher Topos...

Apologies but we at Booksplease don't have a full description for this book.Book InformationISBN 9780486824536Author Claude ChevalleyFormat PaperbackPage Count 224Imprint Dover Publications Inc.Publisher Dover Publications Inc.Weight(grams)...

Groups are important because they measure symmetry. This text, designed for undergraduate mathematics students, provides a gentle introduction to the highlights of elementary group theory. Written in an informal style, the material is divided into short...

'Functional Analysis Revisited' is not a first course in functional analysis - although it covers the basic notions of functional analysis, it assumes the reader is somewhat acquainted with them. It is by no means a second course either: there are too...

In spite of some recent applications of ultraproducts in algebra, they remain largely unknown to commutative algebraists, in part because they do not preserve basic properties such as Noetherianity. This work wants to make a strong case against these...

Apologies but we at Booksplease don't have a full description for this book.Book InformationISBN 9781944325190Author Thomas JudsonFormat HardbackPage Count 426Imprint Orthogonal Publishing L3cPublisher Orthogonal Publishing L3cWeight(grams)...

Providing a concise introduction to abstract algebra, this work unfolds some of the fundamental systems with the aim of reaching applicable, significant results.Book InformationISBN 9780471368793Author I. N. HersteinFormat PaperbackPage Count 272Imprint...

This book is an introduction to the ideas from general topology that are used in elementary analysis. It is written at a level that is intended to make the bulk of the material accessible to students in the latter part of their first year of study at a...

Apologies but we at Booksplease don't have a full description for this book.Book InformationISBN 9781848904163Author Afrodita IorgulescuFormat PaperbackPage Count 694Imprint College PublicationsPublisher College PublicationsWeight(grams)...

This textbook is an introduction to the theory of infinity-categories, a tool used in many aspects of modern pure mathematics. It treats the basics of the theory and supplies all the necessary details while leading the reader along a streamlined path...

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This textbook offers an elementary introduction to noncommutative rings and algebras. Beginning with the classical theory of finite-dimensional algebras, it then develops a more general structure theory of rings, grounded in modules and tensor products...

This updated edition of a classic title studies identical relations in Lie algebras and also in other classes of algebras, a theory with over 40 years of development in which new methods and connections with other areas of mathematics have arisen. New...

Analysis on metric spaces emerged in the 1990s as an independent research field providing a unified treatment of first-order analysis in diverse and potentially nonsmooth settings. Based on the fundamental concept of upper gradient, the notion of a...

This book presents the notes originating from five series of lectures given at the CRM Barcelona in 21-25 June, 2021, during the "Higher homotopical structures" programme. Since their introduction 60 years ago, the notions of infinity algebras...

Redesigned for the 11th edition of Contemporary Abstract Algebra, Student Solutions Manual, written by the author, has comprehensive solutions for all odd-numbered exercises and a large number of even-numbered exercises. This Manual also offers many...

This monograph is a continuation of several themes presented in my previous books [146, 149]. In those volumes, I was concerned primarily with the properties of semirings. Here, the objects of investigation are sets of the form RA, where R is a semiring...

The modular representation theory of Iwahori-Hecke algebras and this theory's connection to groups of Lie type is an area of rapidly expanding interest; it is one that has also seen a number of breakthroughs in recent years. In classifying the...

First year, undergraduate, mathematics students in Japan have for many years had the opportunity of a unique experience---an introduction, at an elementary level, to some very advanced ideas in mathematics from one of the leading mathematicians of the...

This book introduces readers to key concepts in group theory through engaging puzzles. The early sections of the book show how the rules of group theory emerge naturally from solving puzzles. Different classes of groups, such as cyclic, dihedral and...

Targeted at undergraduate mathematics students, this book aims to cover courses in group theory. Based on lectures in group theory, it includes many illustrations and examples, numerous solved exercises and detailed proofs of theorems. The book acts as a...

This book presents four topics related to undergraduate courses, typically not covered in standard lectures. Written in a clear and careful style, these four "pearls" aim at complementing and deepening the knowledge of students and instructors by...

This book comprises an overview of twelve months of intense activity of the research group Geometry, Topology, Algebra, and Applications (GEOMVAP) at the Universitat Politecnica de Catalunya (UPC). Namely, it contains extended abstracts of the group...

This textbook provides an undergraduate introduction to Galois theory and its most notable applications. Galois theory was born in the 19th century to study polynomial equations. Both powerful and elegant, this theory was at the origin of a...

Many fundamental processes in analysis are best understood by studying and comparing the summability of series in various modes of convergence. This text provides the beginning graduate student, one with basic knowledge of real and functional analysis,...

The original goal of writing this book was to introduce the reader to the tools of combinatorics from an applied point of view. This third edition of Applied Combinatorics was substantially rewritten. There are many new examples and exercises. References...

'Functional Analysis Revisited' is not a first course in functional analysis - although it covers the basic notions of functional analysis, it assumes the reader is somewhat acquainted with them. It is by no means a second course either: there are too...

Apologies but we at Booksplease don't have a full description for this book.Book InformationISBN 9781647254629Author Alma AdamsFormat HardbackPage Count 251Imprint NY Research PressPublisher NY Research PressWeight(grams) 875gDimensions(mm) 279mm * 216mm...

Apologies but we at Booksplease don't have a full description for this book.Book InformationISBN 9781647285296Author Alma AdamsFormat HardbackPage Count 245Imprint Willford PressPublisher Willford PressWeight(grams) 862gDimensions(mm) 279mm * 216mm * 16mm

This book is written particularly for mathematics students and, of course, for mathematicians interested in set theory. Only some fun- mental parts of naive set theory are presupposed, - not more than is treated in a textbook on set theory, even if this...

Apologies but we at Booksplease don't have a full description for this book.Book InformationISBN 9780750326469Author Steven DuplijFormat HardbackPage Count 464Imprint Institute of Physics PublishingPublisher Institute of Physics PublishingWeight(grams)...

When this book was written, methods of algebraic topology had caused revolutions in the world of pure algebra. To clarify the advances that had been made, Cartan and Eilenberg tried to unify the fields and to construct the framework of a fully fledged...