The fourth edition of the "Pocket Book of Integrals and Mathematical Formulas" addresses new topics such as elementary number theory, exponential decay, kinetics, series, number facts, Fermat's last theorem, and the Golbach conjecture. The statistics section expands coverage of expected value, normal approximation of the binomial distribution, and nonlinear regression. The book also includes applications in calculus, Cartesian and polar curves, algebra, trigonometry, differential equations, Fourier transforms, and statistics. Reformatted for easier use, a comprehensive table of integrals and a table of derivatives allow quick access to formulas, definitions, and mathematical concepts.