You do not need to remember whole set of API. And going through The Java Language Specification is really boring but usefull. I do not think you would like to when words come like Lexical Structure,Context-Free Grammars,the Lexical Grammar,The Syntactic Grammar,Grammar Notation etc... Better If you know java, Solve as many questions as you can...If you are beginner, Grab a copy of Head First Java...And sink in to the Kathy's wonderland...
Exam does not test for API. Don't worry. Go through Sun' SCJP exam objective.
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