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<?php
//Table names and table prefixes
$tableName = Mage::getSingleton('core/resource')
getTableName('catalog_product_entity');

// if prefix was 'mage_' then the below statement
// would print out mage_catalog_product_entity
echo $tableName;

//Accessing the database connection resource

$read = Mage::getSingleton('core/resource')->getConnection('core_read');
$write = Mage::getSingleton('core/resource')->getConnection('core_write');

//For a list of functions available, copy the following code into a Magento template.
$read = Mage::getSingleton('core/resource')->getConnection('core_read');

echo '<pre>';
print_r(get_class_methods($read));
echo '</pre>';
exit;

//Reading data from the database
$read = Mage::getSingleton('core/resource')->getConnection('core_read');
$query = 'SELECT * FROM '. Mage::getSingleton('core/resource')->getTableName('catalog_product_entity');
$results = $read->fetchAll($query);

print_r($results);

//Writing information to the database
$write = Mage::getSingleton('core/resource')->getConnection('core_write');

// Add your own query below
// I didn't add one as I didn't want you to run the code
// and me break your database!
$query = 'add your query here';
$write->query($query);
?>