Free eBook

A Trip to Mathematics

From Logic to Equations

Mathematics starts with logic and ends with equations. This book covers the entire journey for someone who wants to build genuine mathematical understanding from the ground up.

Gaurav Tiwari
6 Chapters
Self-paced
Download Free 100% FREE
A Trip to Mathematics: From Logic to Equations - Book Cover
What’s Inside

Three pillars. One journey.

From the foundations of mathematical reasoning to solving real equations, each section builds on the last.

Mathematical Logic

The five logical connectives, tautologies, contradictions, quantifiers, and the distinction between inductive and deductive reasoning. Proof techniques most introductory books skip.

  • Truth tables & connectives
  • Quantifiers & predicates
  • Proof techniques

Numbers & Measurement

Significant figures, scientific notation, precision vs. accuracy, and the rules for counting significant digits. Fundamentals that matter in every branch of science and engineering.

  • Significant figures
  • Scientific notation
  • Precision vs. accuracy

Equations & Systems

Starting from what an equation actually is, through classification by degree and variables, to solving linear and quadratic equations. Systems solved via substitution, elimination, and graphical methods.

  • Linear equations (all forms)
  • Systems of equations
  • Quadratic & polynomial preview

Start your trip through mathematics

Logic to equations. Zero cost. No email gate. Just download and start reading.

By Gaurav Tiwari · Gaurav Tiwari Publications