Overview

Are you beginning your university studies and looking for a mathematics book that truly helps you understand, not just memorize? Basic University Mathematics - Solved and Proposed Exercises is a concise, rigorous, and practical guide for students, teachers, and independent learners seeking a solid foundation in algebra, geometry, and introductory calculus. Written by Helbert Justo Luque Zevallos (MBA), founder of the Ágora Project-a global academic initiative dedicated to building a multilingual scientific library-this book combines clarity, structure, and academic precision in every chapter. You will learn about: - Real numbers and operations: properties, powers, roots, and absolute value. - Linear and quadratic equations with detailed, step-by-step examples. - Analytic geometry: vectors, distances, lines, and circles. - Matrices and determinants using Gauss-Jordan and Cramer methods. - Functions and graphs: domains, ranges, compositions, and transformations. - Trigonometric, exponential, and logarithmic functions with real applications. - Systems of linear and nonlinear equations and their solutions. - Solved and proposed exercises to reinforce learning. Perfect for both classroom use and self-study, this book answers common questions from students and educators: it's clear, adaptable, and complete. Whether you're starting your degree, preparing for exams, or refreshing key concepts, Basic University Mathematics will help you reason, analyze, and build the confidence to master the core principles that connect algebra, calculus, and the sciences.

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