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|title=Basic Mathematics
|title=Basic Mathematics
|image=[[File:Lang Basic Mathematics Cover.jpg]]
|image=[[File:Lang Basic Mathematics Cover.jpg]]
|author=[https://en.wikipedia.org/wiki/Serge_Lang Serge Lang]
|author=[https://en.wikipedia.org/wiki/Georgiy_Shilov Georgi Shilov]
|language=English
|language=English
|series=
|series=
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|isbn13=978-0387967875
|isbn13=978-0387967875
}}
}}
The textbook '''''Basic Mathematics''''' by [https://en.wikipedia.org/wiki/Serge_Lang Serge Lang] provides an overview of mathematical topics usually encountered through the end of high school/secondary school, specifically arithmetic, algebra, trigonometry, logic, and geometry. It serves as a solid review no matter how far along one may be in their studies, be it just beginning or returning to strengthen one's foundations.
The textbook '''''Linear Algebra''''' by [https://en.wikipedia.org/wiki/Georgiy_Shilov Georgi Shilov] provides a thorough introduction to linear algebra.
 
Reading the Foreword and the Interlude is recommended for those unfamiliar with reading math texts.


== Table of Contents ==
== Table of Contents ==
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! Chapter/Section # !! Title !! Page #
! Chapter/Section # !! Title !! Page #
|-  
|-  
! colspan="3" | PART I: ALGEBRA
! colspan="3" | Chapter 1: Determinants
|-
|-
! colspan="3" | Chapter 1: Numbers
| 1.1 || Number Fields || 1
|-
|-
| 1 || The integers || 5
| 1.2 || Problems of the Theory of Systems of Linear Equations || 3
|-
|-
| 2 || Rules for addition || 8
| 1.3 || Determinants of Order \(n\) || 5
|-
|-
| 3 || Rules for multiplication || 14
| 1.4 || Properties of Determinants || 8
|-
|-
| 4 || Even and odd integers; divisibility || 22
| 1.5 || Cofactors and Minors || 12
|-
|-
| 5 || Rational numbers || 26
| 1.6 || Practical Evaluation of Determinants || 16
|-
|-
| 6 || Multiplicative inverses || 42
| 1.7 || Cramer's Rule || 18
|-
| 1.8 || Minors of Arbitrary Order. Laplace's Theorem || 20
|-  
| 1.9 || Multiplicative inverses || 23
|-
| colspan="2" | Problems || 28
|-  
|-  
! colspan="3" | Chapter 2: Linear Equations
! colspan="3" | Chapter 2: Linear Equations
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