Linear Algebra (Book): Difference between revisions

Linear Algebra (Book) (edit)

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 |title=Basic Mathematics
 |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
 |series=
@@ Line 13: / Line 13: @@
 |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 ==
@@ Line 23: / Line 21: @@
 ! 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