• Geetha M.M
• Sowmya B
• Chandramouleswara.M. N

Mathematics plays a pivotal role in the field of data science, serving as the foundation for developing robust algorithms and models that drive data-driven decision-making in businesses. This abstract explores the critical mathematical concepts and techniques that underpin data science and their profound impact on business models. Key areas of focus include linear algebra, statistics, probability theory, calculus, and optimization, which are essential for creating machine learning models, data mining, and predictive analytics. Linear algebra, for instance, is used in the manipulation of data, enabling transformations and dimensionality reduction, which are crucial for handling large datasets. Statistics and probability provide the theoretical framework for inferential analysis, helping businesses understand patterns, trends, and anomalies within their data, leading to more informed strategic decisions.Furthermore, mathematical optimization is integral to resource allocation and operational efficiency, allowing businesses to minimize costs or maximize profits under certain constraints. Calculus is employed in developing algorithms for continuous optimization problems and in understanding changes in data patterns over time, which is vital for real-time analytics and forecasting. The integration of these mathematical tools into data science models has revolutionized business practices by enabling predictive modeling, customer segmentation, risk assessment, and personalized marketing strategies. Companies that leverage these mathematical frameworks within data science can develop more agile and adaptive business models that respond to dynamic market conditions and evolving consumer preferences.

Data Science, Algebra, Calculus, Statistics, Probability, Business

"OPTIMIZING BUSINESS MODELS WITH MATHEMATICAL INSIGHTS FROM DATA SCIENCE", International Journal of Emerging Technologies and Innovative Research (www.jetir.org), ISSN:2349-5162, Vol.8, Issue 10, page no.f497-f505, October-2021, Available :http://www.jetir.org/papers/JETIR2110568.pdf

"OPTIMIZING BUSINESS MODELS WITH MATHEMATICAL INSIGHTS FROM DATA SCIENCE", International Journal of Emerging Technologies and Innovative Research (www.jetir.org | UGC and issn Approved), ISSN:2349-5162, Vol.8, Issue 10, page no. ppf497-f505, October-2021, Available at : http://www.jetir.org/papers/JETIR2110568.pdf