Re: structuralism - it's one of my favourite topics! There's a lot of mythology around the topic - a tendency to inflate the concept of "structuralism" to emphasize similarities with "poststructuralism" AKA "postmodernism", rather than differences - but at its heart the "structuralist" history is a story of disagreement.
If you ask me, a B.A. in linguistics, "structuralism" is epitomized by Roman Jakobson's work in the 1930s and 40s, and originally concerned the underlying "structure" of phonemes inside speech. He was in love with poetry, and he wanted to know why poetry sounded so good - and the way to do this was to investigate what structures could be found when you boiled the phonemes down to their constituent "features". For example, when words rhyme they share the same "height" and "frontedness" of vowel quality: "tree" and "bee" are [+high] whereas "cat" and "hat" are both [+low]. What's more, "tree" and "true" are both [+high], but only "tree" is [+front] ("true" contains a so-called "back" vowel).
That's the general approach, and where "structuralism" gets its name.
The significance of this dull-sounding fact is that linguistics was trying to get with the times and ape the sciences. In the context of the times, in 1922, Ludwig Wittgenstein had declared metaphysical philosophy dead; its speculative excesses anachronistic; and thus he had given rise to a generation of hard-nosed materialists in his thrall (the logical positivists), who sought answers to questions which could be answered with testable hypotheses and quantifiable means. Other humanities subjects, such as anthropology and literary studies, joined linguistics in this endeavor to make the humanities more scientific: they were the "structuralists", then.
To give an example in the Jakobsonian mould: the phonological structure /ðə/ is the "unmarked" form of the word "the", but if you want to stress the word "the", for example in saying "he is the epitome of mid-twentieth-century structuralist thought" you shift the pronunciation to /ðiː/ (sounding like "thee"). /ðiː/ is hence the "marked" form, and the distinction between /ðə/ (unmarked) and /ðiː/ (marked) is, in Jakobsonian terminiology (which remains influential for good reason) a distinction of "[+high] vowel", or its lack.
The point is that the brain reserves brainpower by noticing variation from the norm, and "marking" these with properties that the brain recognizes subconsciously when it is fluent in a language. Another application of this would be that the word "God" is assumed male (in English as in other languages) unless the "marked" form of the word is used: "Goddess". In the structuralist model, it would be characterized by some "feature" tag such as [+feminine], whereas the word "God" would carry no qualifying feature: God is male by default.
Poststructuralism was the name for the enfants terribles who came to prominence in the swinging sixties - notably Derrida and Foucault, who used the same kind of terminology as the old guard of structuralists (because they were relevant, more than anything), but in a way that undermined structuralism.
The old guard of structuralists wanted to solve mysteries with theories - the poststructuralists wanted to celebrate paradoxes and intensify mystery by treating structuralist thought with a philosophical lens: Derrida's "Of Grammatology" is a philosophical interrogation of the grandfather of structuralism, linguist Ferdinand de Saussure. Poststructuralism, then, is essentially hostile towards the aims of structuralism. Poststructuralists tended to use this existing language of "structure" in a manner which actually criticised the presumptions of the the scientifically reformed humanities, such as the presumption that the world of science was to be aped in the first place, or that lots of diagrams and labelling of atomic parts such as the features [+high] [+front] etc. bring us closer to the truth. I actually agree that the structuralists held themselves in too high a regard in their logical positivism.
So because these "poststructuralists" were quite a different beast, the name gradually gave way to the catchier "postmodernists". Structuralism was strictly a trend within the humanities academy: "postmodernism" née "poststructuralism" was far more philosophical, far more socially-engaged, and, frankly, far more of a politicization of academia.
Followers of the poststructuralists started to regard these changes in thought as wider and broader than an academic quarrel with structuralism within the humanities per se, and moreso a grand turn away from "modernism" as an era writ large.
As "postmodernists", the meaning of "modernism" that they presume is nominally the same "modernism" as experts use the word "modernism" in art history (e.g. Picasso, the Futurists), literary studies (e.g. Proust), and music (e.g. Stravinsky). It's my opinion that the word has limited applicability in world-historical terms and that the postmodernists inflate the importance of this period (historians, notably, have not followed their lead in this division of the "modern age" (roughly Martin Luther until the present) into pre- and post-modernist ages)
So in summary, structuralism was an earnest attempt to systematize the humanities and propose formal structures (such as the "feature" [+high] vowel "attaching to" the word "the" in order to create the meaning "emphasize the uniqueness of") that would somehow lend legitimacy to the study of the humanities. Poststructuralism was a rebellion against this.
Wow! That's bloody long, and I didn't even get to Chomsky yet. I'll leave it there, though. I don't know what book you should read about structuralism but I would warn you to be wary of the label, since, if you take my word for it, there is more discontinuity than continuity between the structuralists and the poststructuralists aka postmodernists.