In the last few years anonymous functions (AKA lambda functions) have become a very popular language construct and almost every major / mainstream programming language has introduced them or is planned to introduce them in an upcoming revision of the standard.

Yet, anonymous functions are a very old and very well-known concept in Mathematics and Computer Science (invented by the mathematician Alonzo Church around 1936, and used by the Lisp programming language since 1958, see e.g. here).

So why didn't today's mainstream programming languages (many of which originated 15 to 20 years ago) support lambda functions from the very beginning and only introduced them later?

And what triggered the massive adoption of anonymous functions in the last few years? Is there some specific event, new requirement or programming technique that started this phenomenon?

IMPORTANT NOTE

The focus of this question is the introduction of anonymous functions in modern, main-stream (and therefore, maybe with a few exceptions, non functional) languages. 
Also, note that anonymous functions (blocks) are present in Smalltalk, which is not a functional language, and that normal named functions have been present even in procedural languages like C and Pascal for a long time.

Please do not overgeneralize your answers by speaking about "the adoption of the functional paradigm and its benefits", because this is not the topic of the question.

There's certainly a noticeable trend towards functional programming, or at least certain aspects of it. Some of the popular languages that at some point adopted anonymous functions are C++ (C++11), PHP (PHP 5.3.0), C# (C# v2.0), Delphi (since 2009), Objective C (blocks) while Java 8 will bring support for lambdas to the language . And there are popular languages that are generally not considered functional but supported anonymous functions from the start, or at least early on, the shining example being JavaScript. 

As with all trends, trying to look for a single event that sparked them is probably a waste of time, it's usually a combination of factors, most of which aren't quantifiable. Practical Common Lisp, published in 2005, may have played an important role in bringing new attention to Lisp as a practical language, as for quite some time Lisp was mostly a language you'd meet in an academic setting, or very specific niche markets. JavaScript's popularity may have also played an important role in bringing new attention to anonymous functions, as munificent explains in his answer.

Other than the adoption of functional concepts from multi-purpose languages, there's also a noticeable shift towards functional (or mostly functional) languages. Languages like Erlang (1986), Haskell (1990), OCaml (1996), Scala (2003), F# (2005), Clojure (2007), and even domain specific languages like R (1993) seem to have gained a strong following strongly after they were introduced. The general trend has brought new attention to older functional languages, like Scheme (1975), and obviously Common Lisp.

I think the single more important event is the adoption of functional programming in the industry. I have absolutely no idea why that didn't use to be the case, but it seems to me that at some point during the early and mid 90s functional programming started to find it's place in the industry, starting (perhaps) with Erlang's proliferation in telecommunications and Haskell's adoption in aerospace and hardware design.  

Joel Spolsky has written a very interesting blog post, The Perils of JavaSchools, where he argues against the (then) trend of universities to favour Java over other, perhaps more difficult to learn languages. Although the blog post has little to do with functional programming, it identifies a key issue:


  Therein lies the debate. Years of whinging by lazy CS undergrads like me, combined with complaints from industry about how few CS majors are graduating from American universities, have taken a toll, and in the last decade a large number of otherwise perfectly good schools have gone 100% Java. It's hip, the recruiters who use "grep" to evaluate resumes seem to like it, and, best of all, there's nothing hard enough about Java to really weed out the programmers without the part of the brain that does pointers or recursion, so the drop-out rates are lower, and the computer science departments have more students, and bigger budgets, and all is well.


I still remember how much I hated Lisp, when I first met her during my college years. It's definitely a harsh mistress, and it's not a language where you can be immediately productive (well, at least I couldn't). Compared to Lisp, Haskell (for example) is a lot friendlier, you can be productive without that much effort and without feeling like a complete idiot, and that might also be an important factor in the shift towards functional programming. 

All in all, this is a good thing. Several multi-purpose languages are adopting concepts of paradigm that might have seemed arcane to most of their users before, and the gap between the main paradigms is narrowing. 

Related questions:


Functional Programming on the rise?
Why isn't functional programming more popular in the industry? Does it catch on now?
Why hasn't functional programming taken over yet?


Further reading:


Why are functional programming languages, especially Common Lisp and Lisp dialect Clojure, making a comeback in popularity?
Functional Programming: What caused the rise in popularity of functional programming?
Can Your Programming Language Do This?
Why functional programming? Why Haskell?

