Calculus (Book): Difference between revisions

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{{Stub}}
{{Stub}}
{{InfoboxBook
{{InfoboxBook
|title=Basic Mathematics
|title=Calculus
|image=[[File:Lang Basic Mathematics Cover.jpg]]
|image=[[File:Apostol Calculus V1 Cover.jpg]]
|author=[https://en.wikipedia.org/wiki/Serge_Lang Serge Lang]
|author=[https://en.wikipedia.org/wiki/Tom_M._Apostol Tom Apostol]
|language=English
|language=English
|series=
|series=
|genre=
|genre=
|publisher=Springer
|publisher=Wiley
|publicationdate=1 July 1988
|publicationdate=16 January 1991
|pages=496
|pages=666
|isbn10=0387967877
|isbn10=0471000051
|isbn13=978-0387967875
|isbn13=978-0471000051
}}
}}
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 '''''Calculus''''' by [https://en.wikipedia.org/wiki/Tom_M._Apostol Tom Apostol] introduces calculus.  
 
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" | I. INTRODUCTION
|-
|-
! colspan="3" | Chapter 1: Numbers
! colspan="3" | Part 1: Historical Introduction
|-
|-
| 1 || The integers || 5
| I 1.1 || The two basic concepts of calculus || 1
|-
|-
| 2 || Rules for addition || 8
| I 1.2 || Historical background || 2
|-
|-
| 3 || Rules for multiplication || 14
| I 1.3 || The method of exhaustion for the area of a parabolic segment || 3
|-
|-
| 4 || Even and odd integers; divisibility || 22
| <nowiki>*</nowiki>I 1.4 || Exercises || 8
|-
|-
| 5 || Rational numbers || 26
| I 1.5 || Rational numbers || 8
|-
|-
| 6 || Multiplicative inverses || 42
| I 1.6 || Multiplicative inverses || 10
|-  
|-  
! colspan="3" | Chapter 2: Linear Equations
! colspan="3" | Chapter 2: Linear Equations