Mathematical Foundations of Big Data Analytics

This textbook provides a comprehensive introduction to Big Data Analytics using basic mathematical models and interdisciplinary applications. It covers a wide range of mathematics,from numerical linear algebra to game and complexity theories,and is recommended for university courses in Germany,Austria,and Switzerland. Each chapter starts with a practical problem and concludes with mathematical results and case studies.

Format: Paperback / softback
Length: 273 pages
Publication date: 12 February 2021
Publisher: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG

Big Data Analytics relies on fundamental mathematical models to analyze and interpret massive datasets. These models encompass a wide range of disciplines, including numerical linear algebra, statistics, optimization, game theory, graph theory, and complexity theory. By employing these mathematical tools, researchers can address various practical problems in fields such as economics, biology, linguistics, sociology, electrical engineering, computer science, and artificial intelligence.

Each chapter in this textbook begins with a real-world practical problem that serves as a motivating force for studying a specific Big Data Analytics technique. Following this, mathematical results are presented, including essential definitions, auxiliary statements, and conclusions derived from the analysis. Case studies are included to enhance the understanding of the acquired knowledge by applying it in interdisciplinary contexts. Additionally, exercises are provided to strengthen the understanding of the underlying theory, and complete solutions for these exercises are provided at the end of the textbook. For some exercises that require numerical solutions, descriptions of algorithms in Python code are provided as supplementary material.

This textbook has been extensively recommended and developed for university courses in Germany, Austria, and Switzerland. It serves as a comprehensive resource for students and professionals seeking to gain expertise in Big Data Analytics and its applications across diverse fields.

Weight: 490g
Dimension: 168 x 239 x 31 (mm)
ISBN-13: 9783662625200
Edition number: 1st ed. 2021