VOLUME 1 – Mathematics Foundations Analysis 1 and 2 Linear Algebra Calculus II Differential Equations Probability Theory

VOLUME 1: Mathematics Foundations

Series: Manuals for Students

Publisher: GK Edition

Overview

Designed for university undergraduates in STEM disciplines, engineering, and quantitative sciences, Volume 1 of the Manuals for Students series delivers a rigorous and structured foundation in core mathematical theories and computational methods. This volume bridges single-variable and multivariable calculus with linear algebra, differential equations, and probability theory, equipping readers with the essential analytical tools required for advanced scientific and technical modeling.

Key Modules Included:

1. Analysis 1 and 2: Comprehensive study of limits, continuity, differential and integral calculus for functions of one and several variables, sequences, and series convergence.
2. Linear Algebra: Theory of vector spaces, linear transformations, matrices, determinants, eigenvalues, eigenvectors, and diagonalization techniques.
3. Calculus II: Advanced integration techniques, vector calculus, multiple integrals, line and surface integrals, and the theorems of Green, Gauss, and Stokes.
4. Differential Equations: Methods for solving ordinary and partial differential equations, initial and boundary value problems, and applications in physical modeling.
5. Probability Theory: Foundations of probability spaces, random variables, probability distributions, limit theorems, and stochastic processes.

Postscript: All deep-dive volumes are part of the academic series published by GK Edition.