Mercury is a logic programming language that combines the declarative and functional programming paradigms to create a high-level language that is ideal for programming complex, real-world applications. It was developed at the University of Melbourne, Australia, by Zoltan Somogyi and his team in the late 1990s. This guide will provide an introduction to Mercury, including how to write programs in the language, an example of a Mercury program, and some of the best applications for Mercury.

Getting Started with Mercury
Mercury is a statically typed language, which means that the type of every variable is determined at compile time rather than runtime. It is designed to be a high-level, high-performance language that is easy to use and maintain. To write programs in Mercury, you will need a compiler and development environment. The most popular compiler for Mercury is the Mercury compiler, which can be downloaded from the official Mercury website. 

Writing a Program in Mercury
Let's take a look at a simple "Hello, World!" program written in Mercury:

```
:- module hello.
:- interface.
:- import_module io.
:- pred main(io::di, io::uo) is det.
:- implementation.
main(!IO) :-
    io.write_string("Hello, World!\n", !IO).
```

This program prints the message "Hello, World!" to the console. The first line of the program specifies the name of the module, which is "hello". The second line specifies the interface of the module, which in this case imports the "io" module. The "io" module provides input and output functionality in Mercury. 

The third line specifies the "main" predicate, which is the entry point of the program. The "io::di" and "io::uo" arguments specify the input and output states of the program, respectively. The "is det" modifier specifies that the predicate has no side effects. 

The final section of the program is the implementation, which defines the behavior of the "main" predicate. In this case, it simply writes the string "Hello, World!" to the console.

Applications of Mercury
Mercury is ideal for building large-scale, complex applications that require high performance and reliability. Some of the most common applications of Mercury include:

1. Artificial intelligence and machine learning
2. Compiler and language implementation
3. High-performance computing
4. Bioinformatics and computational biology
5. Computer-aided design and manufacturing
6. Robotics and automation
7. Financial modeling and risk analysis

Conclusion
Mercury is a powerful logic programming language that is designed for building complex, real-world applications. It combines the declarative and functional programming paradigms to create a high-level language that is easy to use and maintain. By following this beginner's guide, you should now have a basic understanding of how to write programs in Mercury, and some of the best applications for the language.