% What to do here
\begin{document}
This is good integration.
$$\displaystyle \int x dx = \frac{x^2}{2}$$
\end{document}
我不太了解 LaTeX，所以我需要一些帮助。
我希望文本以普通字体显示。但数学以AMSEuler字体显示。
我不想对文档内部进行任何更改。
答案1
只需将\usepackage{euler}或添加\usepackage{eulervm}到文档的序言中即可：
\documentclass{article}
\usepackage{euler}
\begin{document}
This is good integration.
\[
\int x \,dx = \frac{x^2}{2}+c
\]
\end{document}
该eulervm软件包包含 Zapf 对原始 Euler 字体的许多修订。如果您使用该eulervm软件包，您可能希望使用选项euler-digits和加载它euler-hat-accent，即
\usepackage[euler-digits,euler-hat-accent]{eulervm}
顺便说一句，使用$$ ... $$来生成显示数学方程式已被严重弃用；最好使用\[和\]，就像我在上面的例子中所做的那样。有关此主题的更多信息，请参阅帖子为什么\[ ... \]最好$$和$$、、\[align、equation 和 displaymath之间有什么区别？
附录：没有文本字体这与 完美匹配。如果您在序言中AMS Euler提供指令，您将获得文本字体系列。和在教科书中一起使用（我认为非常成功）\usepackage{concrete}Concrete RomanConcrete RomanAMS Euler具体数学，第一版 1988 年，第二版 1994 年，作者：Ronald Graham、Donald Knuth 和 Oren Patashnik。但是，请注意，这Concrete Roman是一种“光栅字体”，因此在屏幕上看起来不太好。如果以 600 dpi 生成字体，则打印时看起来会很好；只是屏幕上的外观可能会令人失望。已知可以很好地与 配合使用的其他文本字体AMS Euler是Palatino、Aldus和Melior；也许并非巧合，这三种字体都是由赫尔曼·察普夫，字体设计者AMS Euler。要将其设置Palatino为文档的文本字体，您可以例如发出命令\usepackage{newpxtext}。
答案2
现代工具链中的 Euler
欧拉数学
自 2024 年起，CTAN 上提供了 Euler 的 OpenType 版本，即 Euler Math。它是 Khaled Hosny 和 Hermann Zapf 的 Neo Euler 的一个分支。这是在现代 TeX 引擎上使用 Euler 的最简单方法，但我在下面保留了我的原始答案。
使用 Euler Math 的 MWE 以 Zapf 的 TeX Gyre Pagella 克隆版作为文本字体：
\documentclass{article}
\pagestyle{empty}
\usepackage{amsmath}
\DeclareMathOperator\Res{Res}
\newcommand*\diff{\mathop{}\!\mathrm{d}}
\newcommand\upi{\symup{i}}
\usepackage{amsthm}
\newtheorem{theorem}{Theorem}
%%%
% Set up you text and math fonts
%%%
\usepackage[math-style=upright]{unicode-math}
\setmainfont{TeX Gyre Pagella}
\setmathfont{Euler Math}[Scale=MatchLowercase]
\begin{document}
\begin{theorem}[Residue theorem]
Let $f$ be analytic in the region $G$ except for the isolated
singularities $a_1,a_2,\dots,a_m$. If $\gamma$ is a closed
rectifiable curve in $G$ which does not pass through any of the
points $a_k$ and if $\gamma\approx 0$ in $G$, then
\[
\frac{1}{2 \uppi \upi} \int\limits_\gamma f\Bigl(x^{\mathbf{N}\in\mathbb{C}^{N\times 10}}\Bigr)
= \sum_{k=1}^m n(\gamma;a_k)\Res(f;a_k)\,.
\]
\end{theorem}
\begin{theorem}[Maximum modulus]
Let $G$ be a bounded open set in $\BbbC$ and suppose that $f$ is a
continuous function on $G^-$ which is analytic in $G$. Then
\[
\max\{\, |f(z)|:z\in G^- \,\} = \max\{\, |f(z)|:z\in \partial G \,\}\,.
\]
\end{theorem}
First some large operators both in text:
$\iiint\limits_{Q}f(x,y,z) \diff x \diff y \diff z$
and
$\prod_{\gamma\in\Gamma_{\bar{C}}}\partial(\tilde{X}_\gamma)$;\
and also on display
\[
\iiiint\limits_{Q}f(w,x,y,z) \diff w \diff x \diff y \diff z
\leq
\oint_{\partial Q} f'\Biggl(\max\Biggl\{
\frac{\Vert w\Vert}{\vert w^2+x^2\vert};
\frac{\Vert z\Vert}{\vert y^2+z^2\vert};
\frac{\Vert w\oplus z\Vert}{\vert x\oplus y\vert}
\Biggr\}\Biggr)\,.
\]
\end{document}
与这些相匹配的其他字体是 Hermann Zapf 的 Optima（无衬线字体）和 Raph Levien 的 Inconsolata（等宽字体）。
DEK 最初委托 AMS Euler 和 Concrete 共同撰写他的书具体数学：计算机科学的基础。为了复制这种经典外观，您可以使用 CMU Concrete 作为匹配的文本字体。
\documentclass{article}
\pagestyle{empty}
\usepackage{amsmath}
\DeclareMathOperator\Res{Res}
\newcommand*\diff{\mathop{}\!\mathrm{d}}
\newcommand\upi{\symup{i}}
\usepackage{amsthm}
\newtheorem{theorem}{Theorem}
%%%
% Set up you text and math fonts
%%%
\usepackage[math-style=upright]{unicode-math}
\setmainfont{TeX Gyre Pagella}
\setmathfont{Euler Math}[Scale=MatchLowercase]
\begin{document}
\begin{theorem}[Residue theorem]
Let $f$ be analytic in the region $G$ except for the isolated
singularities $a_1,a_2,\dots,a_m$. If $\gamma$ is a closed
rectifiable curve in $G$ which does not pass through any of the
points $a_k$ and if $\gamma\approx 0$ in $G$, then
\[
\frac{1}{2 \uppi \upi} \int\limits_\gamma f\Bigl(x^{\mathbf{N}\in\mathbb{C}^{N\times 10}}\Bigr)
= \sum_{k=1}^m n(\gamma;a_k)\Res(f;a_k)\,.
\]
\end{theorem}
\begin{theorem}[Maximum modulus]
Let $G$ be a bounded open set in $\BbbC$ and suppose that $f$ is a
continuous function on $G^-$ which is analytic in $G$. Then
\[
\max\{\, |f(z)|:z\in G^- \,\} = \max\{\, |f(z)|:z\in \partial G \,\}\,.
\]
\end{theorem}
First some large operators both in text:
$\iiint\limits_{Q}f(x,y,z) \diff x \diff y \diff z$
and
$\prod_{\gamma\in\Gamma_{\bar{C}}}\partial(\tilde{X}_\gamma)$;\
and also on display
\[
\iiiint\limits_{Q}f(w,x,y,z) \diff w \diff x \diff y \diff z
\leq
\oint_{\partial Q} f'\Biggl(\max\Biggl\{
\frac{\Vert w\Vert}{\vert w^2+x^2\vert};
\frac{\Vert z\Vert}{\vert y^2+z^2\vert};
\frac{\Vert w\oplus z\Vert}{\vert x\oplus y\vert}
\Biggr\}\Biggr)\,.
\]
\end{document}
需要指出的是，Concrete 最初没有粗体字重，因此 DEK 最初使用 Computer Modern Sans Semibold Condensed 作为标题。
新欧拉
Euler 还有一个 OpenType 版本，新欧拉，作者 Khaled Hosny。然而，它在 2011 年被废弃了。如果你从 GitHub 页面下载 Neo Euler，它可以与 LuaLaTeX 或 XeLaTeX 一起使用，但也有一些问题。
这篇文章很长，因为我给出了许多复杂的例子，你可以把它们剪切粘贴到你的序言中。它们应该几乎涵盖了我听过任何人推荐的所有用例。
经典外观
Neo Euler 与 AMS Euler 一样，只包含表示直立数学的符号。为了获得经典的外观euler，eulervm包的经典外观，或书籍具体数学，您需要设置unicode-math选项math-style=upright。
然后，您只需加载 Neo Euler 提供的字形，其余部分则使用后备数学字体。在这里，我使用 Khaled Hosny 较新的数学字体 Libertinus Math。它显示出一些来自欧拉的影响，尤其是在其积分方面。最后，确保将希腊字母加载为直立数学字母表，因为unicode-math希望小写希腊字母倾斜。它将euler软件包中的其他字母表（包括 Euler Script）设置为\mathcal和\mathscr，但并非所有字母表都unicode-math支持。旧文档仍应使用此序言进行编译。
对于文本字体，这将设置 Concrete 的 Computer Modern Unicode 版本。（请注意，CMU Concrete Bold 字体是最近添加的。DEK 没有为 Concrete Roman 创建粗体，而是在具体数学而是。beton文档传统上推荐使用 Computer Modern Sans Serif Demibold Condensed。今天，您可以尝试使用 Gill Sans/Gillius ADF，看看是否喜欢它。）
\documentclass{article}
\pagestyle{empty}
\usepackage{amsmath}
\DeclareMathOperator\Res{Res}
\newcommand*\diff{\mathop{}\!\mathup{d}}
\usepackage{amsthm}
\newtheorem{theorem}{Theorem}
\usepackage{unicode-math}
%%%
% Set up you text and math fonts
%%%
\unimathsetup{math-style=upright}
\setmainfont{CMU Concrete}
\defaultfontfeatures{Scale=MatchLowercase}
\setmathfont{Libertinus Math}
\setmathfont[range={"0000-"0001,"0020-"007E,
"00A0,"00A7-"00A8,"00AC,"00AF,"00B1,"00B4-"00B5,"00B7,
"00D7,"00F7,
"0131,
"0237,"02C6-"02C7,"02D8-"02DA,"02DC,
"0300-"030C,"030F,"0311,"0323-"0325,"032E-"0332,"0338,
"0391-"0393,"0395-"03A1,"03A3-"03A8,"03B1-"03BB,
"03BD-"03C1,"03C3-"03C9,"03D1,"03D5-"03D6,"03F5,
"2016,"2018-"2019,"2021,"2026-"202C,"2032-"2037,"2044,
"2057,"20D6-"20D7,"20DB-"20DD,"20E1,"20EE-"20EF,
"210B-"210C,"210E-"2113,"2118,"211B-"211C,"2126-"2128,
"212C-"212D,"2130-"2131,"2133,"2135,"2190-"2199,
"21A4,"21A6,"21A9-"21AA,"21BC-"21CC,"21D0-"21D5,
"2200,"2202-"2209,"220B-"220C,"220F-"2213,"2215-"221E,
"2223,"2225,"2227-"222E,"2234-"2235,"2237-"223D,
"2240-"224C,"2260-"2269,"226E-"2279,"2282-"228B,"228E,
"2291-"2292,"2295-"2299,"22A2-"22A5,"22C0-"22C5,
"22DC-"22DD,"22EF,"22F0-"22F1,
"2308-"230B,"2320-"2321,"2329-"232A,"239B-"23AE,
"23DC-"23DF,
"27E8-"27E9,"27F5-"27FE,"2A0C,"2B1A,
"1D400-"1D433,"1D49C,"1D49E-"1D49F,"1D4A2,"1D4A5-"1D4A6,
"1D4A9-"1D4AC,"1D4AE-"1D4B5,"1D4D0-"1D4E9,"1D504-"1D505,
"1D507-"1D50A,"1D50D-"1D514,"1D516-"1D51C,"1D51E-"1D537,
"1D56C-"1D59F,"1D6A8-"1D6B8,"1D6BA-"1D6D2,"1D6D4-"1D6DD,
"1D6DF,"1D6E1,"1D7CE-"1D7D7
}]{Neo Euler}
\setmathfont[range=up/{greek,Greek}, script-features={}, sscript-features={}
]{Neo Euler}
\setmathfont[range=up/{latin,Latin,num}, script-features={}, sscript-features={}
]{Neo Euler}
\begin{document}
\begin{theorem}[Residue theorem]
Let $f$ be analytic in the region $G$ except for the isolated
singularities $a_1,a_2,\dots,a_m$. If $\gamma$ is a closed
rectifiable curve in $G$ which does not pass through any of the
points $a_k$ and if $\gamma\approx 0$ in $G$, then
\[
\frac{1}{2\symup{\pi i}} \int\limits_\gamma f\Bigl(x^{\mathbf{N}\in\mathbb{C}^{N\times 10}}\Bigr)
= \sum_{k=1}^m n(\gamma;a_k)\Res(f;a_k)\,.
\]
\end{theorem}
\begin{theorem}[Maximum modulus]
Let $G$ be a bounded open set in $\BbbC$ and suppose that $f$ is a
continuous function on $G^-$ which is analytic in $G$. Then
\[
\max\{\, |f(z)|:z\in G^- \,\} = \max\{\, |f(z)|:z\in \partial G \,\}\,.
\]
\end{theorem}
First some large operators both in text:
$\iiint\limits_{Q}f(x,y,z) \diff x \diff y \diff z$
and
$\prod_{\gamma\in\Gamma_{\bar{C}}}\partial(\tilde{X}_\gamma)$;\
and also on display
\[
\iiiint\limits_{Q}f(w,x,y,z) \diff w \diff x \diff y \diff z
\leq
\oint_{\partial Q} f'\Biggl(\max\Biggl\{
\frac{\Vert w\Vert}{\vert w^2+x^2\vert};
\frac{\Vert z\Vert}{\vert y^2+z^2\vert};
\frac{\Vert w\oplus z\Vert}{\vert x\oplus y\vert}
\Biggr\}\Biggr)\,.
\]
\end{document}
使用混凝土扩展至 ISO 样式
如果您想获得全系列的数学字母，您需要将 Euler 数学字体与其他字体组合起来以提供缺失的字形。这是一个选择 ISO 样式的版本（直立的和和乘积符号、常数 π 和 i 以及数字；斜体Γ函数和变量），保留了 Neo Euler 中的直立 ∂，保留了 Neo Euler 中存在的所有数学字母（数字除外，数字应该与文本字体匹配，并且作为上标的间距不好），并提供了 CMU Concrete 系列中缺失的it、bf和bfup部分bfit。
\unimathsetup{math-style=ISO, partial=upright, nabla=upright}
\setmainfont{CMU Concrete}
\defaultfontfeatures{Scale=MatchLowercase}
\setmathfont{Libertinus Math}
\setmathfont[range={"0000-"0001,"0020-"007E,
"00A0,"00A7-"00A8,"00AC,"00AF,"00B1,"00B4-"00B5,"00B7,
"00D7,"00F7,
"0131,
"0237,"02C6-"02C7,"02D8-"02DA,"02DC,
"0300-"030C,"030F,"0311,"0323-"0325,"032E-"0332,"0338,
"0391-"0393,"0395-"03A1,"03A3-"03A8,"03B1-"03BB,
"03BD-"03C1,"03C3-"03C9,"03D1,"03D5-"03D6,"03F5,
"2016,"2018-"2019,"2021,"2026-"202C,"2032-"2037,"2044,
"2057,"20D6-"20D7,"20DB-"20DD,"20E1,"20EE-"20EF,
"210B-"210C,"210E-"2113,"2118,"211B-"211C,"2126-"2128,
"212C-"212D,"2130-"2131,"2133,"2135,"2190-"2199,
"21A4,"21A6,"21A9-"21AA,"21BC-"21CC,"21D0-"21D5,
"2200,"2202-"2209,"220B-"220C,"220F-"2213,"2215-"221E,
"2223,"2225,"2227-"222E,"2234-"2235,"2237-"223D,
"2240-"224C,"2260-"2269,"226E-"2279,"2282-"228B,"228E,
"2291-"2292,"2295-"2299,"22A2-"22A5,"22C0-"22C5,
"22DC-"22DD,"22EF,"22F0-"22F1,
"2308-"230B,"2320-"2321,"2329-"232A,"239B-"23AE,
"23DC-"23DF,
"27E8-"27E9,"27F5-"27FE,"2A0C,"2B1A,
"1D400-"1D433,"1D49C,"1D49E-"1D49F,"1D4A2,"1D4A5-"1D4A6,
"1D4A9-"1D4AC,"1D4AE-"1D4B5,"1D4D0-"1D4E9,"1D504-"1D505,
"1D507-"1D50A,"1D50D-"1D514,"1D516-"1D51C,"1D51E-"1D537,
"1D56C-"1D59F,"1D6A8-"1D6B8,"1D6BA-"1D6D2,"1D6D4-"1D6DD,
"1D6DF,"1D6E1,"1D7CE-"1D7D7
}]{Neo Euler}
\setmathfont[range=up/{greek,Greek}, script-features={}, sscript-features={}
]{Neo Euler}
\setmathfont[range=up/{latin,Latin,num}, script-features={}, sscript-features={}
]{Neo Euler}
\setmathfont[range=up/num]{CMU Concrete}
\setmathfont[range=it/{latin,Latin,greek,Greek}]{CMU Concrete Italic}
\setmathfont[range=bfup/{Greek}]{CMU Concrete Bold}
\setmathfont[range=bfit/{latin,Latin,greek,Greek}]{CMU Concrete Bold Italic}
欧拉加帕拉蒂诺
这是经过多次反复尝试后我最喜欢的版本。
另一个常见的建议（包括在之前的回答中）是将欧拉数学符号与 Palatino 文本结合起来。它将文本字体设置为 Palatino，或者它的众多克隆之一，在本例中为 Pagella（尽管您可能拥有原始的 Palatino 或 Palatino Linotype）。然后，它用另一个 Palatino 克隆 Asana Math 填充 Neo Euler 的所有缺失部分。它设置\mathcal为欧拉脚本，\mathbfcal来自 Asana 的替代样式，\mathbb来自拉丁现代数学（更清晰，更类似于经典amsfonts），来自 Asana 的数字（因为这些需要与正文匹配）和来自 Asana 的欧拉中未定义的所有其他符号。
现在，我们已完全覆盖所有 Unicode 数学符号，这使我们能够以 ISO 样式设置此示例。这将使用斜体数学字母作为默认值，包括大写希腊字母（例如 Gamma 函数），但保留 ∑ 和 ∏ 等符号，并将分母中的常数（例如 2πi）设置为直立。（请注意，它unicode-math足够智能，可以在文本字体中设置\symup{\pi i}为欧拉和\mathrm运算符名称。）它保留了直立的偏导数和 nabla，因为欧拉没有定义草书形式。
您可以改回以math-style=upright获得更经典的外观，同时仍然允许您使用所有的数学字母。
\unimathsetup{math-style=ISO, partial=upright, nabla=upright}
\setmainfont{TeX Gyre Pagella}
\defaultfontfeatures{Scale=MatchLowercase}
\setmathfont{Asana Math}
\setmathfont[range={"0000-"0001,"0020-"007E,
"00A0,"00A7-"00A8,"00AC,"00AF,"00B1,"00B4-"00B5,"00B7,
"00D7,"00F7,
"0131,
"0237,"02C6-"02C7,"02D8-"02DA,"02DC,
"0300-"030C,"030F,"0311,"0323-"0325,"032E-"0332,"0338,
"0391-"0393,"0395-"03A1,"03A3-"03A8,"03B1-"03BB,
"03BD-"03C1,"03C3-"03C9,"03D1,"03D5-"03D6,"03F5,
"2016,"2018-"2019,"2021,"2026-"202C,"2032-"2037,"2044,
"2057,"20D6-"20D7,"20DB-"20DD,"20E1,"20EE-"20EF,
"210B-"210C,"210E-"2113,"2118,"211B-"211C,"2126-"2128,
"212C-"212D,"2130-"2131,"2133,"2135,"2190-"2199,
"21A4,"21A6,"21A9-"21AA,"21BC-"21CC,"21D0-"21D5,
"2200,"2202-"2209,"220B-"220C,"220F-"2213,"2215-"221E,
"2223,"2225,"2227-"222E,"2234-"2235,"2237-"223D,
"2240-"224C,"2260-"2269,"226E-"2279,"2282-"228B,"228E,
"2291-"2292,"2295-"2299,"22A2-"22A5,"22C0-"22C5,
"22DC-"22DD,"22EF,"22F0-"22F1,
"2308-"230B,"2320-"2321,"2329-"232A,"239B-"23AE,
"23DC-"23DF,
"27E8-"27E9,"27F5-"27FE,"2A0C,"2B1A,
"1D400-"1D433,"1D49C,"1D49E-"1D49F,"1D4A2,"1D4A5-"1D4A6,
"1D4A9-"1D4AC,"1D4AE-"1D4B5,"1D4D0-"1D4E9,"1D504-"1D505,
"1D507-"1D50A,"1D50D-"1D514,"1D516-"1D51C,"1D51E-"1D537,
"1D56C-"1D59F,"1D6A8-"1D6B8,"1D6BA-"1D6D2,"1D6D4-"1D6DD,
"1D6DF,"1D6E1,"1D7CE-"1D7D7
}]{Neo Euler}
\setmathfont[range=up/{greek,Greek}, script-features={}, sscript-features={}
]{Neo Euler}
\setmathfont[range=up/{latin,Latin}, script-features={}, sscript-features={}
]{Neo Euler}
\setmathfont[range={bfup/{latin, Latin, greek, Greek}, frak, bffrak, cal},
script-features={}, sscript-features={}
]{Neo Euler}
\setmathfont[range={up/num, bfup/num, it, bfit, scr, bfscr,
sfup, sfit, bfsfup, bfsfit, tt}
]{Asana Math}
\setmathfont[range=bfcal, Scale=MatchUppercase, Alternate]{Asana Math}
\setmathfont[range=bb, Scale=MatchUppercase]{Latin Modern Math}
欧拉符号、帕拉蒂诺字母
此替代方案仅使用 Neo Euler 中的数学符号并覆盖其所有数学字母，以在文本和数学模式之间实现最大的一致性。
\unimathsetup{math-style=ISO, partial=upright, nabla=upright}
\setmainfont{TeX Gyre Pagella}
\defaultfontfeatures{Scale=MatchLowercase}
\setmathfont{Asana Math}
\setmathfont[range={"0000-"0001,"0020-"007E,
"00A0,"00A7-"00A8,"00AC,"00AF,"00B1,"00B4-"00B5,"00B7,
"00D7,"00F7,
"0131,
"0237,"02C6-"02C7,"02D8-"02DA,"02DC,
"0300-"030C,"030F,"0311,"0323-"0325,"032E-"0332,"0338,
"0391-"0393,"0395-"03A1,"03A3-"03A8,"03B1-"03BB,
"03BD-"03C1,"03C3-"03C9,"03D1,"03D5-"03D6,"03F5,
"2016,"2018-"2019,"2021,"2026-"202C,"2032-"2037,"2044,
"2057,"20D6-"20D7,"20DB-"20DD,"20E1,"20EE-"20EF,
"210B-"210C,"210E-"2113,"2118,"211B-"211C,"2126-"2128,
"212C-"212D,"2130-"2131,"2133,"2135,"2190-"2199,
"21A4,"21A6,"21A9-"21AA,"21BC-"21CC,"21D0-"21D5,
"2200,"2202-"2209,"220B-"220C,"220F-"2213,"2215-"221E,
"2223,"2225,"2227-"222E,"2234-"2235,"2237-"223D,
"2240-"224C,"2260-"2269,"226E-"2279,"2282-"228B,"228E,
"2291-"2292,"2295-"2299,"22A2-"22A5,"22C0-"22C5,
"22DC-"22DD,"22EF,"22F0-"22F1,
"2308-"230B,"2320-"2321,"2329-"232A,"239B-"23AE,
"23DC-"23DF,
"27E8-"27E9,"27F5-"27FE,"2A0C,"2B1A,
"1D400-"1D433,"1D49C,"1D49E-"1D49F,"1D4A2,"1D4A5-"1D4A6,
"1D4A9-"1D4AC,"1D4AE-"1D4B5,"1D4D0-"1D4E9,"1D504-"1D505,
"1D507-"1D50A,"1D50D-"1D514,"1D516-"1D51C,"1D51E-"1D537,
"1D56C-"1D59F,"1D6A8-"1D6B8,"1D6BA-"1D6D2,"1D6D4-"1D6DD,
"1D6DF,"1D6E1,"1D7CE-"1D7D7
}]{Neo Euler}
\setmathfont[range={up/{latin, Latin, greek, Greek, num},
it, bfup, bfit, bb, bbit, scr, bfscr, frak, bffrak,
sfup, sfit, bfsfup, bfsfit, tt }
]{Asana Math}
\setmathfont[Alternate, range={cal, bfcal}]{Asana Math}
与 PDFTeX 的向后兼容性
如果您无法使用unicode-math，仍然可以获取 Type 1 字体、粗体数学符号、直立希腊字母等。以下是示例：
\documentclass{article}
\pagestyle{empty}
\tracinglostchars=2
\usepackage{amsmath}
\DeclareMathOperator\Res{Res}
\newcommand*\diff{\mathop{}\!\mathrm{d}}
\usepackage{amsthm}
\newtheorem{theorem}{Theorem}
%%%
% Set up you text and math fonts
%%%
\usepackage[T1]{fontenc}
\usepackage[utf8]{inputenc}
\usepackage{amsfonts, amssymb}
\usepackage[boldsans]{ccfonts}
\usepackage{eucal}
\usepackage{eulervm}
\newcommand\BbbC{\ensuremath{\mathbb{C}}}
\DeclareSymbolFont{eulerup}{U}{zeur}{m}{n}
\DeclareMathSymbol{\uppi}{\mathord}{eulerup}{"19}
\DeclareMathSymbol{\upi}{\mathord}{eulerup}{"69}
\begin{document}
\begin{theorem}[Residue theorem]
Let $f$ be analytic in the region $G$ except for the isolated
singularities $a_1,a_2,\dots,a_m$. If $\gamma$ is a closed
rectifiable curve in $G$ which does not pass through any of the
points $a_k$ and if $\gamma\approx 0$ in $G$, then
\[
\frac{1}{2 \uppi \upi} \int\limits_\gamma f\Bigl(x^{\mathbold{N}\in\mathbb{C}^{N\times 10}}\Bigr)
= \sum_{k=1}^m n(\gamma;a_k)\Res(f;a_k)\,.
\]
\end{theorem}
\begin{theorem}[Maximum modulus]
Let $G$ be a bounded open set in $\BbbC$ and suppose that $f$ is a
continuous function on $G^-$ which is analytic in $G$. Then
\[
\max\{\, |f(z)|:z\in G^- \,\} = \max\{\, |f(z)|:z\in \partial G \,\}\,.
\]
\end{theorem}
First some large operators both in text:
$\iiint\limits_{Q}f(x,y,z) \diff x \diff y \diff z$
and
$\prod_{\gamma\in\Gamma_{\bar{C}}}\partial(\tilde{X}_\gamma)$;\
and also on display
\[
\iiiint\limits_{Q}f(w,x,y,z) \diff w \diff x \diff y \diff z
\leq
\oint_{\partial Q} f'\Biggl(\max\Biggl\{
\frac{\Vert w\Vert}{\vert w^2+x^2\vert};
\frac{\Vert z\Vert}{\vert y^2+z^2\vert};
\frac{\Vert w\oplus z\Vert}{\vert x\oplus y\vert}
\Biggr\}\Biggr)\,.
\]
\end{document}
请注意，\mathrm选择文本字体并且\mathbf不起作用，因此我改为定义\uppi和\upi（\mathnormal直到您将数学字体更改为 Euler 以外的字体时才会起作用，而这些在任何文档中从 Euler 选择直立希腊字母）并使用\mathbold来自的命令eulervm。
带有 NFSS 的 Euler Plus Palatino
流行的 AMS Euler 与 Palatino（或其克隆之一）组合也可用作 NFSS 包，向后兼容 PDFLaTeX。它最后一次更新是在 2017 年，比我展示的任何其他包都要新几年。它使用 Euler 的数学字母，但使用符号（Asana Math 字体也基于此），并使用文本字体中的数字，我将其设置为 Pagella。如果您将选项传递给newpx，它类似于上面的 Pagella/Neo Euler/Asana Math 示例。math-style=uprightunicode-math
该软件包不加载欧拉书法或 Fraktur 数学字母表，因此我稍后设置它们。如果您想添加匹配的无衬线和等宽字体，Optima (URW Classico) 和 Inconsolata 可能是 NFSS 的不错选择。
\documentclass{article}
\pagestyle{empty}
\usepackage{amsmath}
\DeclareMathOperator\Res{Res}
\newcommand*\diff{\mathop{}\!\mathrm{d}}
\usepackage{amsthm}
\newtheorem{theorem}{Theorem}
%%%
% Set up you text and math fonts
%%%
\usepackage[T1]{fontenc}
\usepackage[utf8]{inputenc} % The default since 2018.
\usepackage{tgpagella}
\usepackage{eulerpx} % Loads Euler Fraktur and Script since 2021.
\usepackage{eucal}
\newcommand\BbbC{\ensuremath{\mathbb{C}}}
\DeclareSymbolFont{eulerup}{U}{zeur}{m}{n}
\DeclareMathSymbol{\uppi}{\mathalpha}{eulerup}{"19}
\DeclareMathSymbol{\upi}{\mathalpha}{eulerup}{"69}
\begin{document}
\begin{theorem}[Residue theorem]
Let $f$ be analytic in the region $G$ except for the isolated
singularities $a_1,a_2,\dots,a_m$. If $\gamma$ is a closed
rectifiable curve in $G$ which does not pass through any of the
points $a_k$ and if $\gamma\approx 0$ in $G$, then
\[
\frac{1}{2 \uppi \upi} \int\limits_\gamma f\Bigl(x^{\mathbf{N}\in\mathbb{C}^{N\times 10}}\Bigr)
= \sum_{k=1}^m n(\gamma;a_k)\Res(f;a_k)\,.
\]
\end{theorem}
\begin{theorem}[Maximum modulus]
Let $G$ be a bounded open set in $\BbbC$ and suppose that $f$ is a
continuous function on $G^-$ which is analytic in $G$. Then
\[
\max\{\, |f(z)|:z\in G^- \,\} = \max\{\, |f(z)|:z\in \partial G \,\}\,.
\]
\end{theorem}
First some large operators both in text:
$\iiint\limits_{Q}f(x,y,z) \diff x \diff y \diff z$
and
$\prod_{\gamma\in\Gamma_{\bar{C}}}\partial(\tilde{X}_\gamma)$;\
and also on display
\[
\iiiint\limits_{Q}f(w,x,y,z) \diff w \diff x \diff y \diff z
\leq
\oint_{\partial Q} f'\Biggl(\max\Biggl\{
\frac{\Vert w\Vert}{\vert w^2+x^2\vert};
\frac{\Vert z\Vert}{\vert y^2+z^2\vert};
\frac{\Vert w\oplus z\Vert}{\vert x\oplus y\vert}
\Biggr\}\Biggr)\,.
\]
\end{document}
这里有一些奇怪的地方，例如 ∊ 和 ℂ 的间距，但这是一个简单而有吸引力的设置。
笔记：的最新版本eulerpx现在加载 Euler Fraktur 和 Euler Script 本身，破坏了我原来的模板（已加载eufrak）。