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Free Higher Algebra Books

Abstract Algebra
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Linear Algebra
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Commutative Algebra
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Complex Algebra
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Elliptic Curves
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Geometric Algebra
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Groups Theory
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Higher Algebra
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Homological Algebra
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Lie Algebra
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Differential Algebra
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Rings and Fileds
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Geometry
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Algebraic Geometry
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Differential Geometry
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Fractals
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Riemannian Geometry
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Mathematical Analysis
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Complex Analysis
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Functional Analysis
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Differential Analysis
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Fourier Analysis
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Harmonic Analysis
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Numerical Analysis
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Real Analysis
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Topology
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Algebraic Topology
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Differential Topology
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Geometric Topology
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K-theory
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Applied Mathematics
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Calculus
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Differential Equations
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Combinatorics
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Discrete Mathematics
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Graph Theory
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Number Theory
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Probability Theory
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Set Theory
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Trigonometry
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Category Theory
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Constants & Numerical Sequences
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Basic Mathematics
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Classical Analysis
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History of Mathematics
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Arithmetic Geometry
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Mathematical Series
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Modern Geometry
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Basic Algebra
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Differential Equations
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This section contains free e-books and guides on Higher Algebra, some of the resources in this section can be viewed online and some of them can be downloaded.

Higher Algebra Books
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Higher algebra, a sequel to elementary algebra for schools

Online | 593 Pages | English
This book is intended as a sequel to our Elementary Algebra for Schools. The first few chapters are devoted to a fuller discussion of Ratio, Proportion, Variation, and the Progressions, and then introduced theorems with examples.

 
Homotopical and Higher Algebra
Higher Algebra II (PDF 950P)

PDF | 950 Pages | English
This note covers the following topics: Disintegration and Assembly, Associative Algebras and Their Modules, Algebras and Modules over alpha operads, Little Cubes and Factorizable Sheaves, Algebraic Structures on alpha Categories, Algebra in the Stable Homotopy Category.

 
Tools From Higher Algebra (PDF 42P)

PDF | 42 Pages | English
This note covers the following topics: group theory and graphs with large girth, expanders and superconcentrators, character sums and pseudo-random graphs, real varieties and sign patterns of polynomials, The Chevalley-Warning theorem, Abelian groups and regular graphs, hyperbolic geometry and triangulations of polytopes and polygons, the Erdos-Mozer conjecture and the hard Lefschetz theorem.

 
A Guide to Arithmetic
Elementary Algebra Course Notes

Online | NA Pages | English
These notes are designed for students who have done very little mathematics in high school and, in particular, have never done any calculus. Topics covered includes: Real Numbers, Inequalities and Absolute Values, Arithmetic and Geometric Series, Probability and the Binomial Theorem, Logs and Exponentials, Trigonometric Functions, Complex Numbers, Polynomials and Systems of Linear Equations.

 
Higher Algebra Lecture Notes
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