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Mathematics of Big Data: Spreadsheets, Databases, Matrices, and Graphs (MIT Lincoln Laboratory Series) - Hardcover

Kepner, Jeremy; Jananthan, Hayden

 
9780262038393: Mathematics of Big Data: Spreadsheets, Databases, Matrices, and Graphs (MIT Lincoln Laboratory Series)
Hardcover
ISBN 10: 0262038390 ISBN 13: 9780262038393
Publisher: The MIT Press, 2018

Synopsis

The first book to present the common mathematical foundations of big data analysis across a range of applications and technologies.

Today, the volume, velocity, and variety of data are increasing rapidly across a range of fields, including Internet search, healthcare, finance, social media, wireless devices, and cybersecurity. Indeed, these data are growing at a rate beyond our capacity to analyze them. The tools—including spreadsheets, databases, matrices, and graphs—developed to address this challenge all reflect the need to store and operate on data as whole sets rather than as individual elements. This book presents the common mathematical foundations of these data sets that apply across many applications and technologies. Associative arrays unify and simplify data, allowing readers to look past the differences among the various tools and leverage their mathematical similarities in order to solve the hardest big data challenges.

The book first introduces the concept of the associative array in practical terms, presents the associative array manipulation system D4M (Dynamic Distributed Dimensional Data Model), and describes the application of associative arrays to graph analysis and machine learning. It provides a mathematically rigorous definition of associative arrays and describes the properties of associative arrays that arise from this definition. Finally, the book shows how concepts of linearity can be extended to encompass associative arrays. Mathematics of Big Data can be used as a textbook or reference by engineers, scientists, mathematicians, computer scientists, and software engineers who analyze big data.

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About the Author

Jeremy Kepner is an MIT Lincoln Laboratory Fellow, Founder and Head of the MIT Lincoln Laboratory Supercomputing Center, and Research Affiliate in MIT's Mathematics Department.

Hayden Jananthan is a PhD candidate in the Department of Mathematics at Vanderbilt University.

Charles E. Leiserson is Professor of Computer Science and Engineering at the Massachusetts Institute of Technology.

"About this title" may belong to another edition of this title.

Publisher
The MIT Press
Publication date
2018
Language
English
ISBN 10 
0262038390
ISBN 13 
9780262038393
Binding
Hardcover
Number of pages
448