Algebra

Linear Algebra and Linear Models comprises a concise and rigorous introduction to linear algebra required for statistics followed by the basic aspects of the theory of linear estimation and hypothesis testing.

Identity Based Encryption (IBE) is a type of public key encryption and has been intensely researched in the past decade.

The projectors are considered as simple but important type of matrices and operators.

Beginning from scratch and developing the standard topics of Linear Algebra, this book is intended as a text for a first course on the subject.

A Polynomial Approach to Linear Algebra is a text which is heavily biased towards functional methods.

This book is written as an introduction to higher algebra for students with a background of a year of calculus.

The constructive approach to mathematics has enjoyed a renaissance, caused in large part by the appearance of Errett Bishop's book Foundations of constr"e;uctiue analysis in 1967, and by the subtle influences of the proliferation of powerful computers.

Despite five decades of research, parallel computing remains an exotic, frontier technology on the fringes of mainstream computing.

A First Course in Noncommutative Rings, an outgrowth of the author's lectures at the University of California at Berkeley, is intended as a textbook for a one-semester course in basic ring theory.

We have inserted, in this edition, an extra chapter (Chapter X) entitled "e;Some Applications and Recent Developments.

In this book, Denis Serre begins by providing a clean and concise introduction to the basic theory of matrices.

The Yang-Mills theory of gauge interactions is a prime example of interdisciplinary mathematics and advanced physics.

"e;Proofs and Fundamentals: A First Course in Abstract Mathematics"e; 2nd edition is designed as a "e;transition"e; course to introduce undergraduates to the writing of rigorous mathematical proofs, and to such fundamental mathematical ideas as sets, functions, relations, and cardinality.

The Art of Proof is designed for a one-semester or two-quarter course.

Commutative algebra is a rapidly growing subject that is developing in many different directions.

Descriptor linear systems theory is an important part in the general field of control systems theory, and has attracted much attention in the last two decades.

Alladi Ramakrishnan (1923-2008) was an eminent scientist who had a wide range of research interests in theoretical and mathematical physics.

This book can be divided into two parts.

From the reviews:"e;Lattice-ordered rings and modules are of interest both to algebraists and to functional analysts.

This IMA Volume in Mathematics and its Applications TOWARDS HIGHER CATEGORIES contains expository and research papers based on a highly successful IMA Summer Program on n-Categories: Foundations and Applications.

An original motivation for algebraic geometry was to understand curves and surfaces in three dimensions.

This is a collection of essays based on lectures that author has given on various occasions on foundation of quantum theory, symmetries and representation theory, and the quantum theory of the superworld created by physicists.

Let N be the set of nonnegative integers.

This book is based on the author's mini course delivered at Tokyo University of Marine Science and Technology in March 2019.

The new "e;sine"e; of mathematical geekdom!

Master the building blocks of mathematics!

Whether you need help solving equations or determining the slope of a line, this guide gives you the tools you need to find your answers!

Emphasizes a Problem Solving ApproachA first course in combinatoricsCompletely revised, How to Count: An Introduction to Combinatorics, Second Edition shows how to solve numerous classic and other interesting combinatorial problems.

Using mathematical tools from number theory and finite fields, Applied Algebra: Codes, Ciphers, and Discrete Algorithms, Second Edition presents practical methods for solving problems in data security and data integrity.

Useful Concepts and Results at the Heart of Linear AlgebraA one- or two-semester course for a wide variety of students at the sophomore/junior undergraduate levelA Modern Introduction to Linear Algebra provides a rigorous yet accessible matrix-oriented introduction to the essential concepts of linear algebra.

Group inverses for singular M-matrices are useful tools not only in matrix analysis, but also in the analysis of stochastic processes, graph theory, electrical networks, and demographic models.

Near Rings, Fuzzy Ideals, and Graph Theory explores the relationship between near rings and fuzzy sets and between near rings and graph theory.

This book investigates the geometry of quaternion and octonion algebras.

The Geometry Toolbox takes a novel and particularly visual approach to teaching the basic concepts of two- and three-dimensional geometry.

A comprehensive study of the main research done in polynomial identities over the last 25 years, including Kemer's solution to the Specht problem in characteristic O and examples in the characteristic p situation.

This carefully prepared manuscript presents elimination theory in weighted projective spaces over arbitrary noetherian commutative base rings.

This text presents the concepts of higher algebra in a comprehensive and modern way for self-study and as a basis for a high-level undergraduate course.

This study in combinatorial group theory introduces the concept of automatic groups.

The strength of this textbook lies in the careful exposition of mathematical thinking, basic set-theoretic notions, and proof techniques combined with contemporary numerical methods used throughout the book.

This classic, written by two young instructors who became giants in their field, has shaped the understanding of modern algebra for generations of mathematicians and remains a valuable reference and text for self study and college courses.

Written by an algebraic topologist motivated by his own desire to learn, this well-written book represents the compilation of the most essential and interesting results and methods in the theory of polynomial invariants of finite groups.

Starting with the most basic notions, Universal Algebra: Fundamentals and Selected Topics introduces all the key elements needed to read and understand current research in this field.

Combinatorics of Spreads and Parallelisms covers all known finite and infinite parallelisms as well as the planes comprising them.

With Barron's, learning algebra becomes fun.

Essential core elements of mathematics to support early learning, continued development, and as a reference to review during and after building a strong foundation.

In college or college bound, the importance of algebra in an academic career is so large it can determine your future path and college major.

Best-selling guide for over 20 years, filled with essential elements of mathematics from properties of real numbers to beginning algebra in just 6 laminated pages.

In college or college bound, the importance of the Algebra struggle is real.

This guide outlines basic algebraic equations, formulas, properties & operations.