Applied Calculus for Data Science Models, Gradients, and Optimization A Practical Guide to Derivatives, Gradients, and

Free Download Applied Calculus for Data Science: Models, Gradients, and Optimization: A Practical Guide to Derivatives, Gradients, and Learning Algorithms
English | November 28, 2025 | ASIN: B0G4BGQ5JX | 523 pages | Epub | 648.27 KB
Reactive Publishing Every modern data system, machine learning, AI, forecasting, optimization, stands on a mathematical foundation. This book teaches you that foundation with clarity, speed, and practical focus. Applied Calculus for Data Science is built for analysts, machine learning practitioners, quants, and engineers who want to understand the mathematical mechanics behind the models they use. Instead of abstract theory, you learn the core calculus structures that power gradient descent, loss functions, optimization routines, parameter tuning, and model evaluation. You'll build an intuitive understanding of derivatives, integrals, multivariable calculus, and vector calculus, then apply them directly to real data workflows. Each chapter focuses on turning mathematical ideas into practical tools, with step-by-step examples and visualizations to reinforce concepts. What you will learn: * How derivatives shape model sensitivity, gradients, and learning dynamics * The role of integrals in probability, distributions, and data-driven expectations * Partial derivatives, Jacobians, and Hessians for multivariate models * Optimization principles behind modern ML algorithms * Gradient descent, momentum, and adaptive learning mechanics * How calculus underpins loss functions, regularization, and error surfaces * Real examples showing how to apply calculus to regression, classification, and forecasting * Visual intuition for curvature, surfaces, and high-dimensional behavior At its core, this book gives you a working understanding of the mathematical language used across machine learning, AI, statistics, and quantitative modeling. It explains not only what the models do, but why they work, and how to refine them with confidence. If you want a practical, accessible path into the calculus engine that drives modern data science, this is the guide built for you.