[mongodb] How do I perform the SQL Join equivalent in MongoDB?

We can merge/join all data inside only one collection with a easy function in few lines using the mongodb client console, and now we could be able of perform the desired query. Below a complete example,

.- Authors:

db.authors.insert([
    {
        _id: 'a1',
        name: { first: 'orlando', last: 'becerra' },
        age: 27
    },
    {
        _id: 'a2',
        name: { first: 'mayra', last: 'sanchez' },
        age: 21
    }
]);

.- Categories:

db.categories.insert([
    {
        _id: 'c1',
        name: 'sci-fi'
    },
    {
        _id: 'c2',
        name: 'romance'
    }
]);

.- Books

db.books.insert([
    {
        _id: 'b1',
        name: 'Groovy Book',
        category: 'c1',
        authors: ['a1']
    },
    {
        _id: 'b2',
        name: 'Java Book',
        category: 'c2',
        authors: ['a1','a2']
    },
]);

.- Book lending

db.lendings.insert([
    {
        _id: 'l1',
        book: 'b1',
        date: new Date('01/01/11'),
        lendingBy: 'jose'
    },
    {
        _id: 'l2',
        book: 'b1',
        date: new Date('02/02/12'),
        lendingBy: 'maria'
    }
]);

.- The magic:

db.books.find().forEach(
    function (newBook) {
        newBook.category = db.categories.findOne( { "_id": newBook.category } );
        newBook.lendings = db.lendings.find( { "book": newBook._id  } ).toArray();
        newBook.authors = db.authors.find( { "_id": { $in: newBook.authors }  } ).toArray();
        db.booksReloaded.insert(newBook);
    }
);

.- Get the new collection data:

db.booksReloaded.find().pretty()

.- Response :)

{
    "_id" : "b1",
    "name" : "Groovy Book",
    "category" : {
        "_id" : "c1",
        "name" : "sci-fi"
    },
    "authors" : [
        {
            "_id" : "a1",
            "name" : {
                "first" : "orlando",
                "last" : "becerra"
            },
            "age" : 27
        }
    ],
    "lendings" : [
        {
            "_id" : "l1",
            "book" : "b1",
            "date" : ISODate("2011-01-01T00:00:00Z"),
            "lendingBy" : "jose"
        },
        {
            "_id" : "l2",
            "book" : "b1",
            "date" : ISODate("2012-02-02T00:00:00Z"),
            "lendingBy" : "maria"
        }
    ]
}
{
    "_id" : "b2",
    "name" : "Java Book",
    "category" : {
        "_id" : "c2",
        "name" : "romance"
    },
    "authors" : [
        {
            "_id" : "a1",
            "name" : {
                "first" : "orlando",
                "last" : "becerra"
            },
            "age" : 27
        },
        {
            "_id" : "a2",
            "name" : {
                "first" : "mayra",
                "last" : "sanchez"
            },
            "age" : 21
        }
    ],
    "lendings" : [ ]
}

I hope this lines can help you.