Twitter Storm v/s Apache Hadoop
The main diffence is that Storm can do realtime processing of streams of Tupple s (incoming data) while Hadoop do batch processing with MapReduce jobs.
both of them process data in a distributed way, but with storm you can have live analitics while you will have to wait the mapreduce job to finish before playing with your results.
Nathan Marz (Storm creator) is writing a book about Big Data where he discusses how to create big data systems with Hadoop, Storm and other technologies.
The book is discussing "The Lambda Architecture". Checkout this slide by Nathan Marz himself: Runaway complexity in Big Data... and a plan to stop it