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Free Basic Mathematics 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 Basic Mathematics, some of the resources in this section can be viewed online and some of them can be downloaded.

Basic Mathematics Books
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Advanced High School Mathematics

PDF | 435 Pages | English
This note explains the following topics: Advanced Euclidean Geometry, Discrete Mathematics, Inequalities and constrained extrema, Abstract algebra, Series and Differential Equations, Inferential statistics.

 
Mathematics Government of Tamil Nadu

PDF | 180 Pages | English
Deeper understanding of basic principles and problem solving are the two important components of learning mathematics. This book is a step in this direction. It is intended to help the students to grasp the fundamentals of mathematics and apply them in problem solving. Topics covered includes: Sets And Functions, Sequences And Series Of Real Numbers, Algebra, Matrices, Coordinate Geometry, Geometry, Trigonometry, Mensuration, Practical Geometry, Graphs, Statistics And Probability.

 
Notes on Mathematics

PDF | 255 Pages | English
This book explains the following topics: Linear Algebra, Matrices, Linear System of Equations, Finite Dimensional Vector Spaces, Linear Transformations, Inner Product Spaces, Eigenvalues, Eigenvectors and Diagonalization, Ordinary Differential Equation, Laplace Transform, Numerical Applications, Newton’s Interpolation Formulae, Lagrange’s Interpolation Formula and Numerical Differentiation and Integration.

 
Practical mathematics

Online | 652 Pages | English
The aim of this book has been to illustrate the use of mathematics in constructing diagrams, in measuring areas, volumes, strengths of materials, in calculating latitudes and longitudes on the earth's surface, and in solving similar problems. One great branch of Practical Mathematics, that dealing with electricity and magnetism, has not been included in this book.

 
Engineering Math III

PDF | 78 Pages | English
This note covers the following topics: Power Series: Sequences and Series, Convergence and Divergence, A Test for Divergence, Comparison Tests for Positive Series, The Ratio Test for Positive Series, Absolute Convergence, Power Series, Special Functions: Bessel's Equation and Bessel's Functions, The Gamma Function, Solution of Bessel's Equation in Terms of the Gamma Function and Partial Di erential Equations.

 
Higher Mathematics For Engineers And Physicists

Online | 537 Pages | English
This book is considered as a great reference book for beginners. The chief purpose of the book is to help to bridge the gap which separates many engineers from mathematics by giving them a bird's-eye view of those mathematical topics which are indispensable in the study of the physical sciences.

 
Mathematics Reference Book for Scientists and Engineers

Online | NA Pages | English
These are the sample pages from the textbook, 'Mathematics Reference Book for Scientists and Engineers'. Fundamental principles are reviewed and presented by way of examples, figures, tables and diagrams. It condenses and presents under one cover basic concepts from several different applied mathematics topics.

 
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