Hey Bear,
This is a great question and one that I get asked a lot.
The most obvious feature is new widgets. Since your 2nd edition of jQuery In Action there have been four new widgets added to the library: selectmenu, tooltip, spinner, and menu. Each widget brings adds some new functionality and each is covered in the book.
New widgets are cool, but I actually get far more excited about the improvements made to the core of jQuery UI, as jQuery UI has always been about quality rather than quantity. The core of jQuery UI is the widget factory, and there have been substantial improvements to the how the widget factory works in the last few years. The most powerful addition is the ability to easily extend widgets. For example, always wish there was a built-in confirmation dialog? You can build one in a few lines of code:
http://jsfiddle.net/tj_vantoll/yr06ye4u/. Wish there was an option for using icons in dialogs? You can build one of those too:
http://jsfiddle.net/tj_vantoll/23tby3h0/.
We built this functionality because real-world use cases need extremely custom widgets. I'm the first person to see new jQuery UI bug tickets and I close a whole lot of them with custom extensions now. We even have documented extension points in our widget's APIs now (for example here are autocomplete's
http://api.jqueryui.com/autocomplete/#extension-points). In the book I devote chapter 2 to learning the widget factory, chapter 8 to building custom widgets, and chapter 9 to building widget extensions.
The book focuses on the widget factory because I believe that it is the best solution out there for building reusable components on the web today. A lot of people don't realize this, but the jQuery UI widget factory is actually the basis of jQuery Mobile, as well as some 3rd-party commercial libraries. So knowing the widget factory's conventions is an important and reusable skill.
The final big feature I'll mention is full AMD support, as it lets you create an optimized build of jQuery UI that's integrated with the rest of your codebase. The single biggest complaint I get about jQuery UI is its size, but jQuery UI is modularly written, and the AMD support gives you an easy way of grabbing only the code you need. I personally am a huge AMD fan and I advocate for its usage in the book.
There are other things—like API redesigns of existing widgets and Bower support—but the big new things I get excited about are the new widgets, an improved widget factory, widget extensions, and AMD support.
TJ