eBook Math Explained: The Britannica Guide to Algebra and Trigonometry, 1st Edition

  • Published By:
  • ISBN-10: 1615302190
  • ISBN-13: 9781615302192
  • DDC: 512
  • Grade Level Range: 9th Grade - 12th Grade
  • 288 Pages | eBook
  • Original Copyright 2011 | Published/Released April 2012
  • This publication's content originally published in print form: 2011
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About

Overview

Calculating and manipulating the unknown has been the enterprise of the field of algebra since its earliest inception in Babylon and ancient Egypt. Trigonometry draws on principles presented in algebra and uses angle measurements to elaborate on geometric calculations. Essential to further mathematical and scientific study, both algebra and trigonometry provide crucial tools in managing variables and understanding the relationships between them. This volume presents the fundamentals of these fascinating areas of mathematics while chronicling their respective histories.

Table of Contents

Front Cover.
Half Title Page.
Title Page.
Copyright Page.
Contents.
Introduction.
1: Algebra.
2: History of Algebra.
3: Branches of Algebra.
4: Great Algebraists.
5: Early Algebraists (Through the 16th Century).
6: Classical Algebraists (17th–19th Centuries).
7: Algebraists of the Structural Period (20th–21st Centuries).
8: Algebraic Terms and Concepts.
9: Algebraic Equation.
10: Algebraic Number.
11: Associative Law.
12: Automorphism.
13: Binomial Theorem.
14: Boolean Algebra.
15: Commutative Law.
16: Complex Number.
17: Cramer’s Rule.
18: Degree of Freedom.
19: Determinant.
20: Discriminant.
21: Distributive Law.
22: Eigenvalue.
23: Equation.
24: Factor.
25: Fundamental Theorem of Algebra.
26: Gauss Elimination.
27: Group.
28: Group Theory.
29: Hodge Conjecture.
30: Homomorphism.
31: Ideal.
32: Imaginary Number.
33: Injection.
34: Irrational Number.
35: Linear Equation.
36: Liouville Number.
37: Matrix.
38: Multinomial Theorem.
39: Parameter.
40: Pascal’s Triangle.
41: Polynomial.
42: Quadratic Equation.
43: Quaternion.
44: Rational Number.
45: Ring.
46: Root.
47: Square Root.
48: Surjection.
49: Synthetic Division.
50: System of Equations.
51: Variable.
52: Vector.
53: Vector Operations.
54: Vector Space.
55: Trigonometry.
56: History of Trigonometry.
57: Principles of Trigonometry.
58: Great Trigonometricians.
59: Aryabhata I.
60: Al-Battānı̄.
61: Abraham De Moivre.
62: Leonhard Euler.
63: James Gregory.
64: Hipparchus.
65: Menelaus of Alexandria.
66: Ptolemy.
67: Regiomontanus.
68: Naṣı̄r Al-Dı̄n Al-Ṭūsı̄.
69: Trigonometric Terms and Concepts.
70: Alfonsine Tables.
71: Almagest.
72: Law of Cosines.
73: Fourier Series.
74: Hyperbolic Function.
75: Law of Sines.
76: Trigonometric Function.
77: Trigonometry Table.
78: Triangulation.
Glossary.
Bibliography.
Index.