Mathematical and Statistical Foundations of AI

by Saman Siadati

Provides a concise, practical guide to the essential mathematics and statistics required for building a strong foundation in artificial intelligence.

Preface
Chapter 1: Numbers, Sets, and Logic
Chapter 2: Arithmetic and Order of Operations
Chapter 3: Fractions, Decimals, and Percents
Chapter 4: Ratios and Proportions
Chapter 5: Basic Algebra and Equations
Chapter 6: Functions and Graphs
Chapter 7: Basic Algebraic Manipulations
Chapter 8: Coordinate Systems and Graphs
Chapter 9: Inequalities and Absolute Values
Chapter 10: Sequences and Series
Chapter 11: Word Problems and Mathematical Modeling
Chapter 12: Expressions, Equations, and Factoring
Chapter 13: Functions and Graphs
Chapter 14: Systems of Equations
Chapter 15: Polynomials and Rational Expressions
Chapter 16: Geometry: Lines, Angles, and Triangles
Chapter 17: Congruence and Similarity
Chapter 18: Circles, Arcs, and Sectors
Chapter 19: Geometric Proofs and Reasoning
Chapter 20: Transformations and Symmetry
Chapter 21: Trigonometric Ratios, Functions and Applications
Chapter 22: Limits and Continuity
Chapter 23: Derivatives and Differentiation
Chapter 24: Applications of Derivatives
Chapter 25: Integration, Techniques and Applications
Chapter 26: Partial Derivatives and Gradient
Chapter 27: Fourier Series and Transformations
Chapter 28: Vectors, Vector Spaces, and Subspaces
Chapter 29: Matrix Operations and Properties
Chapter 30: Tensors and Applications
Chapter 31: Orthogonality, Projections, and Least Squares
Chapter 32: Fundamentals of Probability and Combinatorics
Chapter 33: Conditional Probability, Bayes’ Theorem, and Independence
Chapter 34: Random Variables and Probability Distributions
Chapter 35: Advanced Probability Concepts and Theorems
Chapter 36: Simulation, Sampling, and Applications in AI
Chapter 37: Exploring and Visualizing Data
Chapter 38: Statistical Inference and Estimation
Chapter 39: Hypothesis Testing and Statistical Significance
Chapter 40: Relationships and Prediction
Chapter 41: Comparing Groups and Advanced Analysis
Glossary