Cantitate/Preț
Produs
Total produse
Vezi coșul
Representation Theory of Finite Groups: An Introductory Approach de Benjamin Steinberg

Representation Theory of Finite Groups: An Introductory Approach: Universitext

Autor Benjamin Steinberg
en Limba Engleză Paperback – 22 oct 2011
This book is intended to present group representation theory at a level accessible to mature undergraduate students and beginning graduate students. This is achieved by mainly keeping the required background to the level of undergraduate linear algebra, group theory and very basic ring theory. Module theory and Wedderburn theory, as well as tensor products, are deliberately avoided. Instead, we take an approach based on discrete Fourier Analysis. Applications to the spectral theory of graphs are given to help the student appreciate the usefulness of the subject. A number of exercises are included. This book is intended for a 3rd/4th undergraduate course or an introductory graduate course on group representation theory. However, it can also be used as a reference for workers in all areas of mathematics and statistics.
Citește tot Restrânge

Din seria Universitext

  • 13% Probability Essentials
    Preț: 35348 lei
  • 15% Probability Theory: A Comprehensive Course
    Preț: 53464 lei
  • 15% Submanifold Theory: Beyond an Introduction
    Preț: 54404 lei
  • Differential Geometry and Homogeneous Spaces
    Preț: 36093 lei
  • 17% Introduction to Matrix Analysis and Applications
    Preț: 42732 lei
  • Convex and Stochastic Optimization
    Preț: 45781 lei
  • 17% Algebraic Geometry and Commutative Algebra
    Preț: 36600 lei
  • Groups and Symmetries: From Finite Groups to Lie Groups
    Preț: 35246 lei
  • A Fixed-Point Farrago
    Preț: 66212 lei
  • 15% Mathematical Analysis II
    Preț: 49721 lei
  • 15% Fundamentals of Functional Analysis
    Preț: 72504 lei
  • 17% Ordinary Differential Equations
    Preț: 42768 lei
  • Knots and Primes: An Introduction to Arithmetic Topology
    Preț: 38052 lei
  • 17% Around the Unit Circle: Mahler Measure, Integer Matrices and Roots of Unity
    Preț: 36456 lei
  • Real Algebra: A First Course
    Preț: 39653 lei
  • A Course in the Calculus of Variations: Optimization, Regularity, and Modeling
    Preț: 37198 lei
  • 13% Probability: An Introduction Through Theory and Exercises
    Preț: 35551 lei
  • 17% Functional Analysis for the Applied Sciences
    Preț: 36481 lei
  • Stochastic Analysis for Finance with Simulations
    Preț: 35677 lei
  • 17% Introduction to the Theory of Lie Groups
    Preț: 42676 lei
  • Stochastic Partial Differential Equations: An Introduction
    Preț: 62372 lei
  • Discrete Stochastic Processes and Applications
    Preț: 47977 lei
  • 20% Cohomology of Sheaves
    Preț: 56954 lei
  • 20% Geometric and Analytic Number Theory
    Preț: 62822 lei
  • 15% Representation Theory of Finite Monoids
    Preț: 50102 lei
  • 17% An Introduction to Homological Algebra
    Preț: 36906 lei
  • Functional Analysis: An Introductory Course
    Preț: 41164 lei
  • 17% Logic and Structure
    Preț: 39441 lei
  • Stochastic Differential Equations: An Introduction with Applications
    Preț: 37286 lei
  • Number Fields
    Preț: 28894 lei
  • Probability Theory: An Advanced Course
    Preț: 37351 lei
  • Differential Forms and Applications
    Preț: 43841 lei
  • Topics in Complex Analysis
    Preț: 37596 lei
  • 15% Algebraic Surfaces and Holomorphic Vector Bundles
    Preț: 52475 lei
  • 15% Matrix Groups
    Preț: 48768 lei
  • 15% Theory of Probability and Random Processes
    Preț: 46684 lei
  • Heights of Polynomials and Entropy in Algebraic Dynamics
    Preț: 38318 lei
  • Techniques of Constructive Analysis
    Preț: 47598 lei
  • 15% Understanding and Using Linear Programming
    Preț: 46159 lei
  • 15% A Course in Constructive Algebra
    Preț: 63264 lei
  • Abstract Linear Algebra
    Preț: 40806 lei
  • 15% Numerical Treatment of Partial Differential Equations
    Preț: 59212 lei
  • 20% Comprehensive Mathematics for Computer Scientists 1: Sets and Numbers, Graphs and Algebra, Logic and Machines, Linear Geometry
    Preț: 50167 lei
  • 15% A Short Course on Operator Semigroups
    Preț: 57846 lei
  • Mathematical Modeling for the Life Sciences
    Preț: 37521 lei
  • Numerical Solution of SDE Through Computer Experiments
    Preț: 48166 lei
  • Geometry
    Preț: 48563 lei
  • 20% Frontiers of Numerical Analysis: Durham 2004
    Preț: 32668 lei
  • 15% Riemannian Geometry
    Preț: 46538 lei

Preț: 43992 lei

Nou

Puncte Express: 660
Preț estimativ în valută:
8419€ • 8793$ • 6980£

Carte tipărită la comandă

Livrare economică 11-25 februarie 25

 Adaugă în coș

Wish list
Gift list
Am citit!
Adaugă în listă
Preluare comenzi: 021 569.72.76

Specificații

ISBN-13: 9781461407751
ISBN-10: 1461407753
Pagini: 172
Ilustrații: XIII, 157 p. 4 illus.
Dimensiuni: 155 x 235 x 15 mm
Greutate: 0.25 kg
Ediția:2012
Editura: Springer
Colecția Springer
Seria Universitext

Locul publicării:New York, NY, United States

Public țintă

Graduate

Cuprins

-Preface.-Introduction.-Review of Linear Algebra.-Group Representations.-Character Theory.-Fourier Analysis on Finite Groups.-Burnside's Theorem.-Permutation Representations.-Induced Representations.-Another Theorem of Burnside.-The Symmetric Group.-Bibliography.-Index.

Recenzii

From the reviews:
“The aim of the author is to give an introductory text on (ordinary) representation theory of finite groups which is accessible for advanced undergraduates already. And Steinberg manages this outstandingly well. … a book which is ideally suited for beginners in math as well as physicists, engineers and so on, who need a concise, well conceived and easy comprehensible introduction into representation theory.” (G. Kowol, Monatshefte für Mathematik, Vol. 167 (3-4), September, 2012)
“Steinberg … provides a one-semester course on representation theory with just linear algebra and a beginning course in abstract algebra (primarily group theory) as prerequisites. … the author covers most of the standard introductory topics in representation theory. The exercises provide more examples and further common results. It is the applications that Steinberg uses to motivate the subject that make this text both interesting and valuable. … Overall, a very user-friendly text with many examples and copious details. Summing Up: Recommended. Upper-division undergraduates through researchers/faculty.” (J. T. Zerger, Choice, Vol. 49 (11), August, 2012)
“The book consists of 157 pages spread over 11 chapters. … This book is an introductory course and it could be used by mathematicians and students who would like to learn quickly about the representation theory and character theory of finite groups, and for non-algebraists, statisticians and physicists who use representation theory.” (Jamshid Moori, Mathematical Reviews, Issue 2012 j)
“The required background as to this introductory course on group representations, is in the level of linear algebra, group theory and some ring theory. … the book under review is a welcome one for students at an advanced undergraduate or introductory graduate level course, also for those people like physicists, statisticians and non-algebraically oriented mathematicians who need representation theory in their work.” (R. W. van der Waall, Zentralblatt MATH, Vol. 1243, 2012)
“The author has, by combining clear writing with an accessible and minimal-prerequisite approach to group representations, created a book that may well help bring group representation theory into the undergraduate curriculum. This is an impressive and useful text, and should be looked at by anybody with an interest in the subject.” (Mark Hunacek, The Mathematical Association of America, February, 2012)

Notă biografică

Benjamin Steinberg is a professor at City College of New York and the CUNY graduate center. He received my Ph.D. at the University of California, Berkeley. Steinberg is an algebraist interested in a broad range of areas including semigroups, geometric group theory and representation theory. Other research interests include automata theory, finite state Markov chains and algebras associated to etale groupoids. Steinberg is the co-author of a 2009 Springer publication in the SMM series entitled "The q-theory of Finite Semigroups". This book has had good pre- and post-publication reviews. Ben Steinberg is also an active editorial board member of the Semigroup Forum journal.

Textul de pe ultima copertă

Representation Theory of Finite Groups presents group representation theory at a level accessible to advanced undergraduate students and beginning graduate students. The required background is maintained to the level of linear algebra, group theory, and very basic ring theory and avoids prerequisites in analysis and topology by dealing exclusively with finite groups. Module theory and Wedderburn theory, as well as tensor products, are deliberately omitted. Instead, an approach based on discrete Fourier Analysis is taken, thereby demanding less background from the reader.
The main topics covered in this text include character theory, the group algebra and Fourier analysis, Burnside's pq-theorem and the dimension theorem, permutation representations, induced representations and Mackey's theorem, and the representation theory of the symmetric group. For those students who have an elementary knowledge of probability and statistics, a chapter on random walks onfinite groups serves as an illustration to link finite stochastics and representation theory. Applications to the spectral theory of graphs are given to help the student appreciate the usefulness of the subject and the author provides motivation and a gentle style throughout the text. A number of exercises add greater dimension to the understanding of the subject and some aspects of a combinatorial nature are clearly shown in diagrams.
This text will engage a broad readership due to the significance of representation theory in diverse branches of mathematics, engineering, and physics, to name a few. Its primary intended use is as a one semester textbook for a third or fourth year undergraduate course or an introductory graduate course on group representation theory. The content can also be of use as a reference to researchers in all areas of mathematics, statistics, and several mathematical sciences.

Caracteristici

Concise focus enables the author to avoid prerequisites in analysis and topology Provides a simple context for students to understand group representation theory Author provides a gentle approach for students as well as the necessary motivation and exercises Includes supplementary material: sn.pub/extras