-
Notifications
You must be signed in to change notification settings - Fork 1
/
calculus.tex~
executable file
·261 lines (200 loc) · 5.77 KB
/
calculus.tex~
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
228
229
230
231
232
233
234
235
236
237
238
239
240
241
242
243
244
245
246
247
248
249
250
251
252
253
254
255
256
257
258
259
260
\documentclass[b5paper,12pt]{book}
\usepackage{xltxtra}
\usepackage{geometry}
% setting page parameters
\geometry{
textwidth=6.in,
textheight=9.25in,
marginparsep=7pt,
marginparwidth=.6in
}
\usepackage{colortbl}
\usepackage{relsize}
% font packages
\usepackage[urw-garamond]{mathdesign}
\usepackage{garamondx}
\setmonofont{Latin Modern Mono Light}
\usepackage{nimbussans}
\DeclareTextCommandDefault{\nobreakspace}{\leavevmode\nobreak\ }
\usepackage{fullpage}
\usepackage[ colorlinks=true]{hyperref}
\hypersetup{
colorlinks,
linkcolor=Tomato,
linktoc=all
}
% for customising ToC
\usepackage{tocloft}
% set the font for the toc
\renewcommand{\cfttoctitlefont}{\Large\bfseries\color{CornflowerBlue}}
\renewcommand\cftchappagefont{\color{SteelBlue}}
% set the distance between the section number and section title
\setlength{\cftsecnumwidth}{2em}
% symbols
\usepackage{amsmath}
% fancy verbose environment
\usepackage{fancyvrb}
% better fractions
\usepackage{nicefrac}
% boxes
\usepackage{mdframed}
% for epigraphs and quotes
\usepackage{dirtytalk}
\usepackage{epigraph}
\renewcommand{\epigraphrule}{0pt}
\setlength{\epigraphwidth}{0.75\textwidth}
\renewcommand{\epigraphsize}{\smaller}
\setlength{\parskip}{0.5\baselineskip}
%\usepackage{pstricks}
\setlength{\parindent}{0pt}
\renewcommand{\baselinestretch}{1.3}
\newenvironment{psmallmatrix}
{\left(\begin{smallmatrix}}
{\end{smallmatrix}\right)}
% standardised units
\usepackage{siunitx}
\sisetup{text-celsius = \degree\kern-\scriptspace C}
\makeatletter
\def\@seccntformat#1{%
\expandafter\ifx\csname c@#1\endcsname\c@section\else
\csname the#1\endcsname\quad
\fi}
\makeatother
\usepackage[svgnames,table]{xcolor}
\usepackage{sectsty}
\chapterfont{\normalfont\color{IndianRed}} % sets colour of chapters
\sectionfont{\color{DodgerBlue}}
\newcolumntype{A}{%
>{\color{black}\columncolor{LightYellow}[0.9\tabcolsep]%
\raggedright}c}
\newcommand\txthead[1]{%
\textcolor{Tomato}{\textbf{#1}}}
\usepackage[inline,shortlabels]{enumitem}
% tables
\usepackage{booktabs}
\usepackage{url}
\urlstyle{rm}
\usepackage{tikz}
\usetikzlibrary{arrows}
\usetikzlibrary{trees}
\usetikzlibrary{positioning}
\usetikzlibrary{shapes,arrows}
\usetikzlibrary{decorations.text}
\newcommand*\circled[1]{\tikz[baseline=(char.base)]{
\node[shape=circle,draw,inner sep=2pt] (char) {#1};}}
\usepackage{tcolorbox}
\tcbuselibrary{breakable}
\usepackage{mhchem}
\usepackage{chngcntr}
\counterwithout{figure}{chapter}
\counterwithout{equation}{chapter}
\allowdisplaybreaks
\makeatletter % add "\color{blue}" to argument of "\maketag@@@"
\def\tagform@#1{\maketag@@@{\color{IndianRed}(\ignorespaces#1\unskip\@@italiccorr)}}
\makeatother
\newcommand*\athr{\textcolor{IndianRed}{\textsc{Author: }}}
\newcommand*\rdr{\textcolor{DodgerBlue}{\textsc{Reader: }}}
\newcommand*\prtnr{\textcolor{DodgerBlue}{\textsc{Partner: }}}
\newcommand*\answr{\textcolor{DodgerBlue}{\textsc{Answer: }}}
\makeatletter
\renewcommand{\@chapapp}{Dialogue}
\makeatother
\newtcolorbox{defn}[1][breakable]{colback=white,colframe=DodgerBlue!75!black,title=Definition}
\tcbuselibrary{theorems}
\usepackage{amsthm}
\usepackage{latexsym}
%\newtcbtheorem{mytheo}{Theorem}
%{colback=white,colframe=DodgerBlue!75!black,fonttitle=\bfseries}{th}
\newtcolorbox{mytheo}[1]{colback=white,colframe=DodgerBlue!75!black,title={#1}}
\newcommand{\fig}[1]{\hyperref[#1]{Figure \ref{#1}}}
\usepackage[font=small]{caption}
\usepackage{wrapfig}
\usetikzlibrary{calc}
% put color to \boxed math command
\newcommand*{\boxcolor}{IndianRed}
\makeatletter
\renewcommand{\boxed}[1]{\textcolor{black}{%
\tikz[baseline={([yshift=-1ex]current bounding box.center)}] \node [rectangle, minimum width=1ex,rounded corners,draw] {\normalcolor\m@th$\displaystyle#1$};}}
\makeatother
\DeclareMathOperator{\arccot}{arccot}
\newcommand{\ddx}{\dfrac{d}{dx}}
\newcommand{\lmts}[2]{\lim\limits_{#1 \to #2}}
\newcounter{magicrownumbers}
\newcommand\rownumber{\stepcounter{magicrownumbers}\arabic{magicrownumbers}}
\newcommand{\Answer}{\let\oldtheenumi=\theenumi\def\theenumi{\arabic{enumi}}\item[\textcolor{DodgerBlue}{Answer \theenumi}] \leavevmode\let\theenumi\oldtheenumi}
\title{Calculus}
\author{Lev Tarasov}
\date{}
\begin{document}
\arrayrulecolor{gray} % <sets color of the \hline in tables
%\verbatimfontfamily{inconsolata}
\maketitle
\thispagestyle{empty}
\frontmatter
%\thispagestyle{empty}
%11.B. TapaCOB
%OCHOBbl
%KBAHTOBO MEXAHK
%HSA9.TanbCTBO Bwcwafl WKOna MOCKBa
%\newpage
\thispagestyle{empty}
\vspace*{5cm}
\begin{Huge}
\noindent
%\hspace{1cm}
\textsf{Lev Tarasov}\\[1cm]
\noindent
\hspace{1cm}
\textsf{Calculus }\\[1cm]
\end{Huge}
%\vspace{3cm}
%\begin{large}
%\end{large}
\vspace{6.5cm}
\begin{center}
\begin{Huge}
\textbf{MIR Publishers Moscow}
\end{Huge}
\end{center}
\newpage
\thispagestyle{empty}
%\cleardoublepageb
\noindent
\begin{smaller}
Translated from the Russian by \emph{V. Kisin} and \emph{A. Zilberman}\\
First published 1988 \\
\noindent
Revised from the 1984 Russian edition \\[10pt]
\noindent
\begin{tcolorbox}
This First Electronic Version typeset using \XeLaTeX{} by \emph{Damitr Mazanov}. \\
Released on the web by \textcolor{CornflowerBlue}{\url{http://mirtitles.org}} in 2017.
\end{tcolorbox}
\setcounter{tocdepth}{3}
\end{smaller}
\cleardoublepage
%\dominitoc
\tableofcontents
%\begin{savequote}[0.55\linewidth]
%\newline
%\qauthor{F. Engels}
%\end{savequote}
\input{00-preface}
\cleardoublepage
\mainmatter
\input{01-infinite}
\input{02-limit-of-seq}
\input{03-conv-seq}
\input{04-function}
\input{05-more-on-function}
\input{06-limit-of-function}
\input{07-more-on-limit-of-function}
\input{08-velocity}
\input{09-derivative}
\input{10-differentiation}
\input{11-antiderivative}
\input{12-integral}
\input{13-differential-equations}
\input{14-more-on-differential-equations}
\input{15-problems}
\end{document}