Fundamentals of Advanced Mathematics

Proof, number systems, algebra, logic, and graph theory are all part of the mathematical landscape explored in Fundamentals of Advanced Mathematics. Alberto D. Yazon brings these connected subjects together in an eight-chapter introduction, giving readers a route from foundational ideas toward topics in discrete mathematics.

Build a foundation in mathematical reasoning

The opening chapters take up proof and mathematical argument, sets, relations and functions, number systems, and number theory. Later material develops algebra and explores propositional logic, including equivalences, inference, and quantifiers. The sequence offers a chance to revisit essential concepts while seeing how they support more advanced mathematical thinking.

From number systems to graph theory

The book ranges across base conversion and computer data representation, graph theory, mathematical induction and recursion, and cardinality. Rather than limiting itself to one specialty, it introduces a broad collection of ideas that help readers recognize different ways mathematics describes patterns, relationships, and structure.

Examples and practice along the way

Solved examples and practice questions accompany the subject matter. That mix gives readers opportunities to follow worked material and then test their understanding as they progress through the chapters.

Who may find it useful?

Readers studying mathematics or reviewing its core concepts may appreciate the book’s wide-ranging approach. It is especially relevant to learners interested in proof, algebra, number theory, logic, functions, and graph theory within one introductory volume.

For a structured survey of foundational and discrete mathematics, Yazon’s book brings a substantial range of topics into one place. 📚