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Algebraic equations are a great tool for rationalizing almost any relationship in the real and unreal worlds. The incorporation of algebra allows anyone to relate any one thing to another using a defined and...

Concise and authoritative, this monograph is geared toward advanced undergraduate and graduate students. The main theorems whose proofs are given here were first formulated by Lefschetz and have since turned...

Math can be a difficult subject that will require a person to both learn some important skills, and they will also have to memorize things like different kinds of formulas. The more that a students spends doing...

One exceptionally important part of knowing how to do algebra is knowing all of the equations. This can be very difficult for a student who is first learning how to do algebra, and it can be very difficult for...

A thorough first course in linear algebra, this two-part treatment begins with the basic theory of vector spaces and linear maps, including dimension, determinants, eigenvalues, and eigenvectors. The second...

This text focuses on the basics of algebraic theory, giving detailed explanations of integral functions, permutations, and groups, and Lagrange and Galois theory. Many numerical examples with complete solutions....

Three-part approach, with notes and references for each section, covers linear algebra and finite dimensional systems, operators in Hilbert space, and linear systems in Hilbert space. 1981 edition.

Straightforward explanation of abstract principles common to science and math, including Euclid's algorithm; congruences; polynomials; complex numbers and algebraic fields; algebraic integers, ideals, and *p*-adic...

This work examines the 1st part of Riemann's Theory of Abelian Functions and is extremely useful in its formulations of the topological equivalents of Riemann's surfaces. 1893 edition. Includes 43 figures.

Accessible, undergraduate-level text illustrates the role of algebras of holomorphic functions in the stabilization of a linear control system. Concise, self-contained treatment avoids advanced mathematics....

Relations between groups and sets, results and methods of abstract algebra in terms of number theory and geometry, and noncommutative and homological algebra. Solutions. 2006 edition.

Classic monograph, suitable for advanced undergraduates and graduate students. Topics include calculus of permutations and tableaux, semi-normal representation, orthogonal and natural representations, group...

This groundbreaking monograph in advanced algebra addresses crossed products, which involve group and ring theory and the study of infinite group algebras, group-graded rings, and the Galois theory of noncommutative...

Versatile, time-tested, and widely used, this text requires only two years of high school algebra. Suitable for one-year or single-semester courses. Each chapter features sample tests with answers. 1978 edition....

A world-famous mathematician explores Moore's theory of experiments, Kleene's theory of regular events and expressions, differential calculus of events, the factor matrix, theory of operators, much more. Solutions....

This witty and engaging stylebook presents the fundamentals of mathematical operations: number systems, first steps in algebra and algebraic notation, common fractions and equations, and much more. 1958 edition....

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...

Rigorous, self-contained coverage of determinants, vectors, matrices and linear equations, quadratic forms, more. Elementary, easily readable account with numerous examples and problems at the end of each chapter....

Excellent textbook provides undergraduates with an accessible introduction to the basic concepts of abstract algebra and to the analysis of abstract algebraic systems. Features many examples and problems.

Excellent introductory text focuses on complex numbers, determinants, orthonormal bases, symmetric and hermitian matrices, first order non-linear equations, linear differential equations, Laplace transforms,...