Linear Algebra
This is a book for the second course in linear algebra whereby students are assumed to be familiar with calculations using real matrices. To facilitate a smooth transition into rigorous proofs, it combines abstract theory with matrix calculations.This book presents numerous examples and proofs of particular cases of important results before the general versions are formulated and proved. The knowledge gained from a particular case, that encapsulates the main idea of a general theorem, can be easily extended to prove another particular case or a general case. For some theorems, there are two or even three proofs provided. In this way, students stand to gain and study important results from different angles and, at the same time, see connections between different results presented in the book.
Algebra for the Use of Colleges and Schools
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Elements of Quaternions; Volume 1
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Algebra for Beginners
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A Primer of Quaternions
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Algebra for Colleges and Schools
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High School Algebra
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The Theory of Equations
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The Algebraic Solution of Equations of any Degree
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The Madison Colloquium 1913; I. On Invariants and the Theory of Numbers
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Vektoranalysis
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Tracts On the Resolution of Affected Algebr瓣ick Equations by Dr. Halley's, Mr. Raphson's, and Sir Isaac Newton's, Methods of Approximation
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The Madison Colloquium 1913; I. On Invariants and the Theory of Numbers
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Introduction to Algebra
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The Algebraic Solution of Equations of any Degree
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An Elementary Treatise on the Planetary Theory
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An Elementary Treatise on the Planetary Theory
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Actions of Groups
Using the unifying notion of group actions, this second course in modern algebra introduces the deeper algebraic tools needed to get into topics only hinted at in a first course, like the successful classification of finite simple groups and how groups play a role in the solutions of polynomial equations. Because groups may act as permutations of a set, as linear transformations on a vector space, or as automorphisms of a field, the deeper structure of a group may emerge from these viewpoints, two different groups can be distinguished, or a polynomial equation can be shown to be solvable by radicals. By developing the properties of these group actions, readers encounter essential algebra topics like the Sylow theorems and their applications, Galois theory, and representation theory. Warmup chapters that review and build on the first course and active learning modules help students transition to a deeper understanding of ideas.
Actions of Groups
Using the unifying notion of group actions, this second course in modern algebra introduces the deeper algebraic tools needed to get into topics only hinted at in a first course, like the successful classification of finite simple groups and how groups play a role in the solutions of polynomial equations. Because groups may act as permutations of a set, as linear transformations on a vector space, or as automorphisms of a field, the deeper structure of a group may emerge from these viewpoints, two different groups can be distinguished, or a polynomial equation can be shown to be solvable by radicals. By developing the properties of these group actions, readers encounter essential algebra topics like the Sylow theorems and their applications, Galois theory, and representation theory. Warmup chapters that review and build on the first course and active learning modules help students transition to a deeper understanding of ideas.
The Elements of the Theory of Algebraic Numbers
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Algebra for the Use of Colleges and Schools
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Introduction to Algebra
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Tracts On the Resolution of Affected Algebr瓣ick Equations by Dr. Halley's, Mr. Raphson's, and Sir Isaac Newton's, Methods of Approximation
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An Introduction to Graphical Algebra for the Use of High Schools
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An Introduction to Graphical Algebra for the Use of High Schools
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First Course in Algebra
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A Treatise on Algebra
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The Teaching of Algebra
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College Algebra With Applications
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History of the Theory of Numbers; Volume 2
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College Algebra With Applications
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Exercise Book in Algebra
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An Introductory Algebra
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History of the Theory of Numbers; Volume 2
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An Introductory Algebra
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A Treatise on Algebra
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Courageous Leadership
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Analytische Geometrie Der Kegelschnitte
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A Practical System of Algebra in Theory and Practice in Two Parts
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Analytische Geometrie Der Kegelschnitte
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Algebra
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Algebra
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