Linear algebra with applications 1. Matrices and Systems of Equations 1.1 Systems of Linear Equations 1.2 Row Echelon Form 1.3 Matrix Arithmetic 1.4 Matrix Algebra 1.5 Elementary Matrices 1.6 Partitioned Matrices 2. Determinants 2.1 The Determinant of a Matrix 2.2 Properties of Determinants 2.3 Additional Topics and Applications 3. Vector Spaces 3.1 Definition and Examp…
Contents: 1. REAL NUMBERS AND THEIR BASIC PROPERTIES Real Numbers and Their Graphs. Fractions. Exponents and Order of Operations. Adding and Subtracting Real Numbers. Multiplying and Dividing Real Numbers. Algebraic Expressions. Properties of Real Numbers. 2. EQUATIONS AND INEQUALITIES Solving Basic Linear Equations in One Variable. Solving More Linear Equations in One Varia…
CONTENTS: 1. History of Finite Fields 2. Introduction to Finite Fields 3. Irreducible Polynomials 4. Primitive Polynomials 5. Bases 6. Exponential and Character Sums 7. Equations over Finite Fields 8. Permutation Polynomials 9. Special Functions over Finite Fields 10. Sequences over Finite Fields 11. Algorithms 12. Curves over Finite Fields 13. Miscellaneous Theoretical Topics …
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