Deep Mathematica: Problem-Solving in Contest Multivariable Calculus

Deep Mathematica: Problem-Solving in Contest Multivariable Calculus

Are you ready to challenge your understanding of multivariable calculus? Deep Mathematica is an advanced-level problem-solving book designed for students, educators, and math competition enthusiasts seeking a bold, concept-driven exploration of multivariable mathematics.

This book features a curated collection of creative, high-difficulty problems rooted in the author's experience teaching at Cornell University’s Academic Excellence Workshops (AEW). Each chapter delves into core topics of multivariable calculus—from vector geometry and constrained optimization to divergence theorems and surface integrals—through problems that require lateral thinking, geometric insight, and integrated reasoning.

Unlike traditional textbooks, Deep Mathematica focuses on problem-solving over rote theory, offering:

Over 100 advanced problems ranging from challenging to Putnam-level

Symbol-coded difficulty tiers for efficient navigation and self-assessment

Real-world inspired applications, contest-style challenges, and conceptual puzzles

A powerful bridge between undergraduate curriculum and mathematical creativity

Ideal for students preparing for mathematics competitions, educators designing enrichment materials, or curious learners aiming to master multivariable calculus at a deeper level, this book invites you to engage, explore, and evolve your mathematical thinking.

Whether you're building your problem-solving toolkit or looking to test the limits of your calculus knowledge, Deep Mathematica delivers an intellectually rewarding journey through one of mathematics’ most beautiful landscapes.