Course Ma2c03, Hilary Term 2014 Section 7: Periodic Series and Functions
نویسنده
چکیده
7 Periodic Series and Functions 128 7.1 Basic Trigonometric Identities . . . . . . . . . . . . . . . . . . 128 7.2 Basic Trigonometric Integrals . . . . . . . . . . . . . . . . . . 130 7.3 Basic Properties of Complex Numbers . . . . . . . . . . . . . 131 7.4 Complex Numbers and Trigonometrical Identities . . . . . . . 133 7.5 The Exponential of a Complex Number . . . . . . . . . . . . . 133 7.6 Euler’s Formula . . . . . . . . . . . . . . . . . . . . . . . . . . 134 7.7 Multiplication of Complex Exponentials . . . . . . . . . . . . 135 7.8 Complex Roots of Unity . . . . . . . . . . . . . . . . . . . . . 136 7.9 The Discrete Fourier Transform . . . . . . . . . . . . . . . . . 137 7.10 Periodic Functions and Fourier Series . . . . . . . . . . . . . . 141
منابع مشابه
Course Ma2c03, Hilary Term 2014 Section 9: Introduction to Number Theory and Cryptography
9 Introduction to Number Theory 168 9.1 Subgroups of the Integers . . . . . . . . . . . . . . . . . . . . 168 9.2 Greatest Common Divisors . . . . . . . . . . . . . . . . . . . . 168 9.3 The Euclidean Algorithm . . . . . . . . . . . . . . . . . . . . . 169 9.4 Prime Numbers . . . . . . . . . . . . . . . . . . . . . . . . . . 172 9.5 The Fundamental Theorem of Arithmetic . . . . . . . . . . . . ...
متن کاملCourse Ma2c03, Hilary Term 2014 Section 8: Vectors and Quaternions
8 Vectors and Quaternions 145 8.1 Vectors . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 145 8.2 Displacement Vectors . . . . . . . . . . . . . . . . . . . . . . . 145 8.3 The Parallelogram Law of Vector Addition . . . . . . . . . . . 146 8.4 The Length of Vectors . . . . . . . . . . . . . . . . . . . . . . 147 8.5 Scalar Multiples of Vectors . . . . . . . . . . . . . . . . . . ....
متن کاملCourse MA2C03, Michaelmas Term 2014 Section 2: Abstract Algebra
2 Abstract Algebra 24 2.1 Binary Operations on Sets . . . . . . . . . . . . . . . . . . . . 24 2.2 Commutative Binary Operations . . . . . . . . . . . . . . . . 24 2.3 Associative Binary Operations . . . . . . . . . . . . . . . . . . 24 2.4 Semigroups . . . . . . . . . . . . . . . . . . . . . . . . . . . . 25 2.5 The General Associative Law . . . . . . . . . . . . . . . . . . 26 2.6 Identity el...
متن کاملCourse MA2C03, Michaelmas Term 2014 Section 1: Sets and Functions
1 Sets and Functions 1 1.1 Sets . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1 1.2 Unions, Intersections and Complements of Sets . . . . . . . . . 1 1.3 Subsets and Power Sets . . . . . . . . . . . . . . . . . . . . . . 3 1.4 The Specification of Sets . . . . . . . . . . . . . . . . . . . . . 5 1.5 Binary Relations . . . . . . . . . . . . . . . . . . . . . . . . . 6 1.6 Congr...
متن کاملCourse MA2C03, Michaelmas Term 2013 Section 2: Sets and Functions
2 Sets and Functions 10 2.1 Sets . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 10 2.2 Unions, Intersections and Complements of Sets . . . . . . . . . 10 2.3 Subsets and Power Sets . . . . . . . . . . . . . . . . . . . . . . 12 2.4 The Specification of Sets . . . . . . . . . . . . . . . . . . . . . 14 2.5 Binary Relations . . . . . . . . . . . . . . . . . . . . . . . . . 15 2.6...
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