Hadoop is and open-source software framework for storage and large-scale processing of data-sets on clusters of commodity hardware. Hadoop has a map reduce programming model for large scale data processing.

Big data is a "catch all" word, related to the power of using a lot of data to solve problems.. Some people would say that "is big data" Only if its large enough and complex that it becomes difficult to process using a single computer... here is a good link with a Big Data Jargon

http://www.cgma.org/Resources/Reports/DownloadableDocuments/From_insight_to_impact-jargon_buster.pdf

Gartner defines Big Data as high volume, velocity and variety information assets that demand cost-effective, innovative forms of information processing for enhanced insight and decision making. while as

Hadoop is the core platform for structuring Big Data, and solves the problem of making it useful for analytics purposes.

Thanks

As others correctly indicated, Big-data is "umbrella" word representing collection of technologies. Hadoop is just one of the frameworks implementing some of the big-data principles.

- GK (Gopalakrishna)

http://gk.palem.in/

Big Data as high volume, velocity and variety information assets that implied in form of text file or some other source of storage.

Hadoop is the core platform for structuring Big Data (coming from different ways at real-time. it can be structure and non-structure), and solves the problem of making it useful for analytic purposes.

Hadoop is an open source framework which implements MapReduce technique. MapReduce splits big Data over several nodes in order to achieve a parallel computing

Big data is simply the large sets of data that businesses and other parties put together to serve specific goals and operations.Big data can include many different kinds of data in many different kinds of formats.

Hadoop is one of the tools designed to handle big data. Hadoop and other software products work to interpret or parse the results of big data searches through specific proprietary algorithms and methods. Hadoop is an open-source program under the Apache license that is maintained by a global community of users. It includes various main components, including a MapReduce set of functions and a Hadoop distributed file system (HDFS).

Big data is simply the large sets of data that businesses and other parties put together to serve specific goals and operations.Big data can include many different kinds of data in many different kinds of formats.

Hadoop is one of the tools designed to handle big data. Hadoop and other software products work to interpret or parse the results of big data searches through specific proprietary algorithms and methods. Hadoop is an open-source program under the Apache license that is maintained by a global community of users. It includes various main components, including a MapReduce set of functions and a Hadoop distributed file system (HDFS).

Big data is simply the large sets of data that businesses and other parties put together to serve specific goals and operations.Big data can include many different kinds of data in many different kinds of formats.

Hadoop is one of the tools designed to handle big data. Hadoop and other software products work to interpret or parse the results of big data searches through specific proprietary algorithms and methods. Hadoop is an open-source program under the Apache license that is maintained by a global community of users. It includes various main components, including a MapReduce set of functions and a Hadoop distributed file system (HDFS).

Big Data and Hadoop Both are different things..

Big data is a large set of the data that is generated through the FACEBOOK,U TUBE, and many social sites. That is in the form of video,image,text,graphics, sensors, and many other things. Big data has devided in to 3 types Structured,Semi Structured, Unstructured data.

Hadoop is a tools that manage this kind of massive data and most of the big company used this tools like a oracle, IBM, Google etc. Hadoop is a product of apache 

for more knowledge read this two papers. 

http://www.ijser.org/onlineResearchPaperViewer.aspx?Big-Data-challenges-and-Hadoop-as-one-of-the-solution.pdf

http://ir.inflibnet.ac.in/bitstream/1944/1890/1/51.pdf