Discover the clear approach and digital support you need to truly understand calculus with MULTIVARIABLE CALCULUS, 12th Edition by award-winning authors Larson and Edwards. This edition effectively presents and demonstrates the concepts and rules of calculus using a thoroughly updated learning experience specifically designed to remove any typical barriers to learning. New "Big Ideas of Calculus" notes present the overarching ideas behind chapter topics, while annotated examples and "Concept Checks" further reinforce your understanding. Step-by-step solution videos, exercise solutions and other tutorial support are available at no cost from CalcView.com, CalcChat.com and LarsonCalculus.com. In addition, new automatically graded Proof Problems with instant feedback, Expanded Problems and "Explore It" interactive learning modules within WebAssign digital resources help you develop a deeper conceptual understanding of calculus to succeed in this course and beyond.