This chapter introduces the classical example of entire and meromorphic functions of order 2, which illustrates many of the theorems discussed in the book. The theory is further explored in Chapters 3, 4, and 18 of the author's book on *Elliptic Functions* [La 73]. Let $\omega_1$ and $\omega_2$ be two complex numbers that are linearly independent over the real numbers. A lattice generated by $\omega_1$ and $\omega_2$ is the set of all complex numbers of the form $m\omega_1 + n\omega_2$ where $m$ and $n$ are integers. This lattice, denoted by $L = [\omega_1, \omega_2]$, is closed under addition and multiplication by integers, making it a subgroup of $\mathbf{C}$. Since $\mathbf{C}$ is a two-dimensional vector space over $\mathbf{R}$, $\omega_1$ and $\omega_2$ form a basis of $\mathbf{C}$ over $\mathbf{R}$. The relation $z \equiv w \bmod L$ is defined as $z - w \in L$, and it is verified that this relation is an equivalence relation. The set of equivalence classes modulo $L$ is denoted by $\mathbf{C} / L$. If $z \equiv w \bmod L$, then $n z \equiv n w \bmod L$ for any integer $n$. Additionally, if $z \equiv w \bmod L$, then $\lambda L$ is also a lattice, and $\lambda z \equiv \lambda w \bmod \lambda L$ for any non-zero complex number $\lambda$. A fundamental parallelogram for the lattice $L = [\omega_{1}, \omega_{2}]$ is defined as the set of points $\alpha + t_1 \omega_1 + t_2 \omega_2$ where $0 \leq t_i \leq 1$. This parallelogram can also be defined with $0 \leq t_i < 1$.This chapter introduces the classical example of entire and meromorphic functions of order 2, which illustrates many of the theorems discussed in the book. The theory is further explored in Chapters 3, 4, and 18 of the author's book on *Elliptic Functions* [La 73]. Let $\omega_1$ and $\omega_2$ be two complex numbers that are linearly independent over the real numbers. A lattice generated by $\omega_1$ and $\omega_2$ is the set of all complex numbers of the form $m\omega_1 + n\omega_2$ where $m$ and $n$ are integers. This lattice, denoted by $L = [\omega_1, \omega_2]$, is closed under addition and multiplication by integers, making it a subgroup of $\mathbf{C}$. Since $\mathbf{C}$ is a two-dimensional vector space over $\mathbf{R}$, $\omega_1$ and $\omega_2$ form a basis of $\mathbf{C}$ over $\mathbf{R}$. The relation $z \equiv w \bmod L$ is defined as $z - w \in L$, and it is verified that this relation is an equivalence relation. The set of equivalence classes modulo $L$ is denoted by $\mathbf{C} / L$. If $z \equiv w \bmod L$, then $n z \equiv n w \bmod L$ for any integer $n$. Additionally, if $z \equiv w \bmod L$, then $\lambda L$ is also a lattice, and $\lambda z \equiv \lambda w \bmod \lambda L$ for any non-zero complex number $\lambda$. A fundamental parallelogram for the lattice $L = [\omega_{1}, \omega_{2}]$ is defined as the set of points $\alpha + t_1 \omega_1 + t_2 \omega_2$ where $0 \leq t_i \leq 1$. This parallelogram can also be defined with $0 \leq t_i < 1$.