Calling the temporal() function returns the temporal object with the current time: 

temporal();

The temporal object attempts to parse the value sent to it:

temporal('2015-08-05'); // string
temporal(1438725600000); // number - as milliseconds
temporal([2015, 7, 5, 18, 5, 7, 123]); // array - in the order of year, month, day, hour, minute, second, millisecond
temporal(new Date()); // JavaScript Date
temporal(temporal()); // another Temporal object

When invoking with a string argument Temporal attempts to parse the date by a number of common formats. Here are some working examples:

temporal('2015-08-05');
temporal('2015/08/05 18:05');
temporal('2015-08-05T18:05:07');
temporal('2015.08.05 18:05:07.123');

If the date string cannot be parsed the exact format should be specified with a second argument like so:

temporal('04-17-2015 12:25 PM', '[MM]-[dd]-[yyyy] [hh]:[mm] [tt]');

Formatting

An essential function one cannot do without is the format function:

('2015-08-05').format(); // Thursday, August 05, 2015

The format method accepts a string parameter for specifying the exact format you want your date to appear in:

temporal('2015-08-05 18:05:07').format('[dd]/[MM]/[yyyy] [HH]:[mm]:[ss]'); // 05/08/2015 18:05:07

Here's the full list of available tokens:

temporal('2015-08-05 18:05:07.123').format('[y], [yy], [yyy], [yyyy]'); // 5, 15, 015, 2015
temporal('2015-08-05 18:05:07.123').format('[M], [MM], [MMM], [MMMM]'); // 8, 08, Aug, August
temporal('2015-08-05 18:05:07.123').format('[d], [dd], [do]'); // 5, 05, 5th
temporal('2015-08-05 18:05:07.123').format('[H], [HH], [h], [hh]'); // 18, 18, 6, 06
temporal('2015-08-05 18:05:07.123').format('[m], [mm]'); // 5, 05
temporal('2015-08-05 18:05:07.123').format('[s], [ss]'); // 7, 07
temporal('2015-08-05 18:05:07.123').format('[f], [ff], [fff]'); // 1, 12, 123
temporal('2015-08-05 18:05:07.123').format('[t], [tt]'); // P, PM

Having the tokens in brackets allows for clear separation between tokens and regular text:

temporal('2015-08-05').format('On the [do] of [MMMM] [yyyy] the weather was quite nice');
// On the 5th of August 2015 the weather was quite nice

Querying

Get any time part:

temporal('2015-08-05 18:05:07.123').year(); // 2015
temporal('2015-08-05 18:05:07.123').month(); // 7
temporal('2015-08-05 18:05:07.123').day(); // 5
temporal('2015-08-05 18:05:07.123').hour(); // 18
temporal('2015-08-05 18:05:07.123').minute(); // 5
temporal('2015-08-05 18:05:07.123').second(); // 7
temporal('2015-08-05 18:05:07.123').millisecond(); // 123

Get a relative time string, a common necessity in web applications:

temporal('2015-08-05 18:05:07').relativeTimeString();
// X years, X days, X hour, X minutes and X seconds ago

The same method accepts a parameter to specify the precision (hour, minute or second) with the default precision being in seconds:

temporal('2015-08-05 18:05:07').relativeTimeString('hour');
// X years, X days and X hour ago
temporal('2015-08-05 18:05:07').relativeTimeString('minute');
// X years, X days, X hour and X minutes ago

Get other stuff:

temporal().monthName(); // January
temporal().monthName('short'); // Jan
temporal().weekdayName(); // Friday
temporal().weekdayName('short'); // Fri
temporal().isLeapYear(); // false
temporal().timeZoneOffset(); // -60

Modification

Set any time part:

temporal().years(2015).months(7).days(5).hours(18).minutes(5).seconds(7).milliseconds(123);

Add to any time part:

temporal().addYears(5);
temporal().addMonths(1);
temporal().addWeeks(2);
temporal().addDays(10);
temporal().addHours(2);
temporal().addMinutes(15);
temporal().addSeconds(10);
temporal().addMilliseconds(250);

Subtract from any time part:

temporal().subtractYears(5);
temporal().subtractMonths(1);
temporal().subtractWeeks(2);
temporal().subtractDays(10);
temporal().subtractHours(2);
temporal().subtractMinutes(15);
temporal().subtractSeconds(10);
temporal().subtractMilliseconds(250);

Advance to tomorrow or go back to yesterday:

temporal().tomorrow().format('will be the [do]');
temporal().yesterday().format('was the [do]');

Comparison

To get the difference between two dates:

temporal('2015-08-12').difference(temporal('2015-08-05')); // 604800000

To check if a date is before or after another date:

temporal('2015-08-12').isBefore(temporal('2015-08-05')); // false
temporal('2015-08-12').isAfter(temporal('2015-08-05')); // true

Both of the above methods accept a second parameter to specify the precision (year, month, day, hour, minute, or second) with the default being in milliseconds:

temporal('2015-08-12').isAfter(temporal('2015-08-05'), 'month'); // false
temporal('2015-08-12').isAfter(temporal('2015-08-05'), 'day'); // true

Get a person's age by their birthday:

temporal('1991-08-10').age(); // 29

Conversion

A temporal object can also be converted:

temporal('2015-08-05 18:05').toJSDate(); // Thu Aug 05 2015 18:05:00 GMT+0200 (Central European Daylight Time)
temporal('2015-08-05 18:05').toArray(); // [2015, 7, 5, 18, 5, 0, 0]
temporal('2015-08-05 18:05').toMilliseconds(); // 1438790700000