Here's how to detect browsers in 2016, including Microsoft Edge, Safari 10 and detection of Blink:
// Opera 8.0+ (UA detection to detect Blink/v8-powered Opera)
isOpera = !!window.opera || navigator.userAgent.indexOf(' OPR/') >= 0;
// Firefox 1.0+
isFirefox = typeof InstallTrigger !== 'undefined';
// Safari 3.0+
isSafari = /constructor/i.test(window.HTMLElement) || (function (p) { return p.toString() === "[object SafariRemoteNotification]"; })(!window['safari'] || safari.pushNotification);
// Internet Explorer 6-11
isIE = /*@cc_on!@*/false || !!document.documentMode;
// Edge 20+
isEdge = !isIE && !!window.StyleMedia;
// Chrome 1+
isChrome = !!window.chrome && !!window.chrome.webstore;
// Blink engine detection
isBlink = (isChrome || isOpera) && !!window.CSS;
The beauty of this approach is that it relies on browser engine properties, so it covers even derivative browsers, such as Yandex or Vivaldi, which are practically compatible with the major browsers whose engines they use. The exception is Opera, which relies on user agent sniffing, but today (i.e. ver. 15 and up) even Opera is itself only a shell for Blink.