Algebra category: 943 books

This book offers a comprehensive introduction by three of the leading experts in the field, collecting fundamental results and open problems in a single volume. Since Leavitt path algebras were first defined in 2005, interest in these algebras has grown substantially, with ring theorists as...

This book provides a self-contained introduction to algebraic coding theory over finite Frobenius rings. It is the first to offer a comprehensive account on the subject. Coding theory has its origins in the engineering problem of effective electronic communication where the alphabet is generally...

Solve for X, Y, and Z using either substition or elimination methods: 10X + Y + Z = 12; 8X + 2Y +Z  = 11; 20X - 10Y - 2Z = 8

The book offers an original view on channel coding, based on a unitary approach to block and convolutional codes for error correction. It presents both new concepts and new families of codes. For example, lengthened and modified lengthened cyclic codes are introduced as a bridge towards time-invariant...

"Take the following three row vectors: A = (1, 3), B = (7, 9), C = (7, 2) • Find the column vectors V = AT, W = BT, X = CT • Create the Matrix D such that A is the first row, B is the second row, and C is the third row • Create the Matrix E such that V is the first column, W is the second column, X is the third column • Does E = DT? "

Fascinating connections exist between group theory and automata theory, and a wide variety of them are discussed in this text. Automata can be used in group theory to encode complexity, to represent aspects of underlying geometry on a space on which a group acts, and to provide efficient algorithms...

Since the publication of this book’s bestselling predecessor, Mathematica® has matured considerably and the computing power of desktop computers has increased greatly. The Mathematica® typesetting functionality has also become sufficiently robust that the final copy for this edition could be transformed...

"The cost, in millions of dollars, to remove x % of pollution in a lake modeled by  a. What is the cost to remove 99% of the pollutant? b. For what value is this equation undefined? "

Multiplye the rational expressions

Solve the  system of equations for all (x, y) solutions.

The author introduces the supersymmetric localization technique, a new approach for computing path integrals in quantum field theory on curved space (time) defined with interacting Lagrangian.  The author focuses on a particular quantity called the superconformal index (SCI), which is defined...

Only book on Hopf algebras aimed at advanced undergraduates

This book explains techniques that are essential in almost all branches of modern geometry such as algebraic geometry, complex geometry, or non-archimedian geometry. It uses the most accessible case, real and complex manifolds, as a model. The author especially emphasizes the difference between local...

Rich selection of 100 practice problems — with hints and solutions — for students preparing for the William Lowell Putnam and other undergraduate-level mathematical competitions. Features real numbers, differential equations, integrals, polynomials, sets, other topics. Hours of stimulating challenge for math buffs at varying degrees of proficiency. References.