Algebra/Printable version
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https://en.wikibooks.org/wiki/Algebra
Cover
Welcome To Algebra!
editThis Wikibook helps you to learn algebra. If you wish to read this book, click the link above.
Authors
Authors
editThe authors of Algebra include:
- Daniel Ehrenberg
- Anonymous Wikibook Contributors
- H Padleckas has written Algebra/Function Graphing and made contributions to other chapters. Plans to work on other chapters in Algebra about graphics.
- Jaden Mathos
- GoreyCat
Contributors
Completion Scale
edit- Sparse text 0-24%
- Developing text 25=49%
- Maturing text 50-74%
- Developed text 75-99%
- Comprehensive text 100%
Ongoing merging work
editTO DO
Add word problems to multiplication
Add word problems to exponents
Add word problems for possible relationships part of inequalities
Add graphics for multiplying by 1 and -1 to description of special case multiply by -1
Add description for special case Going back to equality (completed by Wikigucoder)
Fill in example of half area function
Fix contents, Clarify Explanation
Move Todos here ... or fill 'em in
Why use standard form vs. Slope Intercept form? Need more context.
Continue Creating Links between pages.
Continue Creating Standard Algebra Heading ... Continue through Table of Contents
Leap in sophistication ... End of the conversational tone. Need to make friendlier, simpler
To be merged/unsorted
- In this book
- Theory (A section pertaining to proofs can potentially can go under Elementary Arithmetic chapter)
- Iteration
- Talk:Algebra/ToInclude
- Arithmetic/Numerical Axioms (Was orphaned from the book, should keep an eye out for others)
- Equalities and Inequalities (Was orphaned from the book)
- Algebra
- Quadratic functions
- Solving equations
- Theory of Equations
- Redirect to another book (why?)
ORPHANED PAGES
Chapter 0
Chapter 0: An Introduction to Mathematics
Sections
edit- What is math, exactly? - And why should I care?
- Who should read this book - And what to expect
- Structure of This Book - And the order to read the book in
Extra
edit
Chapter 1
Chapter 1: Elementary Arithmetic
Sections
edit- The Number Line - (Completed 12 October 2023)
- Operations in Arithmetic - 25% Done
- Operations with Decimals and Fractions - 5% Done
- Exponents and Roots
- Order of Operations
- Factoring and Divisibility
- Applications of Fractions and Decimals
- Units
- Rounding and Estimation
- Introduction to Statistics
- Problem Solving
Extra
edit
Chapter 5
Chapter 5: The Cartesian Plane
Introduction
editSections
editExtra
edit
Chapter 9
Introduction
editSections
edit- Polynomials
- Graphing Quadratic Functions
- Factoring Quadratics
- Completing the Square
- Complex Numbers
- Quadratic Formula
- Quadratic Inequalities
Extra
edit
Chapter 11
Chapter 12
Introduction
editSections
edit
Chapter 13
Introduction
editSections
editExtra
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Chapter 14
Chapter 14: Trigonometry
Sections
edit- Right Triangle Trigonometry
- The Law of Sines
- The Law of Cosines
- The Unit Circle
- Trigonometric Identities
- Sum and Difference Identities
- Double Angle, Half Angle, and Reduction Formulas
- Sum-to-Product and Product-to-Sum Formulas
- Graphs of Trigonometric Functions
- Inverse Trigonometric Functions
- Trigonometric Equations
Extra
edit
Chapter 15
- Mathematical Induction
- Recursive Formulas
- Introduction to Sequences and Series
- Arithmetic Progression (AP)
- Geometric Progression (GP)
- Harmonic Progression (HP)
Chapter 17
Introduction
editSections
edit- The Distance Formula
- Loci of Points
- Conic Sections
- Circles
- Ellipses
- Parabolas
- Hyperbolas
- Rotation of Axes
- Nonlinear Systems
Extra
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Chapter 18
Introduction
editSections
editExtra
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Chapter 19
Introduction
editSections
editExtra
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Chapter 20
Chapter 20: Complex Numbers
Sections
edit- Arithmetic with Complex Numbers
- Powers of Complex Numbers
- Complex Number Algebra
- More about the Quadratic Formula
- More about Polynomials
Extra
edit
Chapter 21
Chapter 21: Approximation Theory
Sections
editExtra
edit
Chapter 22
Chapter 22: Continued Fractions
Sections
edit- Expansion of Rational Numbers
- Diophantine Equations
- Expansion of Irrational Numbers
- Periodic Continued Fractions
- Hurwit's Theorem
Extra
edit
Chapter 23
Chapter 24
Introduction
editSections
editExtra
edit
Chapter 25
Glossary
A
edit- Addition: The process of combining two numbers.
D
edit- Division: The process of sharing an equal amount to a set group.
E
edit- Expression: A mathematical sentence consisting of numbers, variables, and mathematical operators.
M
edit- Multiplication: The process of repeated addition.
S
edit- Subtraction: The process of taking away one number from another to find the difference between them.
Formulas
Area of a rectangle: L x W
Resources
Further Reading
edit
Bibliography
- Carson, Tom (2006) PreAlgebra, Cengage Learning.
- Chrystal, George (1886) Algebra: An Elementary Text-book for the Higher Classes of Secondary Schools and for Colleges
- Courant, Richard; Robbins, Herbert (1978), What is Mathematics?, Oxford University Press.
- Cummings, Jay (2021) Proofs: A Long-Form Mathematics Textbook
- Gonick, Larry (2015) The Cartoon Guide to Algebra
- Liu, Andy (2015) Arithmetical Wonderland, MAA Press.
- Lockhart, Paul (2017) Arithmetic, Harvard University Press.
- Millier, Julie (2011) PreAagebra, McGraw Hill.
- Monahan, Chris (2020) Must Know High School Pre-Calculus, McGraw Hill.
- Patrick, David; Rusczyk, Richard (2011) Prealgebra, Art of Problem Solving (AoPS)
- Tussy, Alan S. (2006) PreAlgebra, Cengage Learning.
Index
A
editB
editC
editD
editE
editF
editG
editH
editI
editJ
editK
editL
editM
editN
editO
editP
editQ
editR
editS
editT
editU
editV
editW
editX
editY
editZ
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