Technical Math for Beginners: Measurement, Fractions, Algebra, and Geometry for the Trades (Paperback) (ISBN-13: 9798176173642)

How do mathematicians turn an idea into a rigorous, convincing argument?

A Complete Introduction to Mathematical Proof provides a clear and accessible foundation in the reasoning techniques used throughout higher mathematics. Designed for students encountering proof-based mathematics for the first time, this guide explains not only the major methods of proof, but also the logic behind choosing and applying them.

Beginning with the language and structure of mathematical reasoning, the book guides readers through essential topics including:

- Statements, logical connectives, and quantifiers
- Direct proofs and conditional reasoning
- Proof by contrapositive
- Proof by contradiction
- Mathematical induction
- Strategies for approaching unfamiliar proofs
- Clear and rigorous mathematical writing

Readers will learn how to identify assumptions and conclusions, translate mathematical statements into logical form, select an appropriate proof strategy, and present arguments with precision.

Whether you are preparing for discrete mathematics, abstract algebra, real analysis, number theory, or another proof-based course, this book will help you make the transition from performing calculations to thinking like a mathematician.

Build your confidence, strengthen your reasoning, and develop proof-writing skills that will support every stage of your mathematical education.