Thinking About Equations: A Practical Guide for Developing Mathematical Intuitionin the Physical Sciences and Engineering

Thinking About Equations provides an accessible guide to developing an intuitive understanding of mathematical methods and, at the same time, presents a number of practical mathematical tools for successfully solving problems that arise in engineering and the physical sciences.

Worked-out problems from various fields of study illustrate mathematical concepts and techniques and are accompanied by a comprehensive solution, explanation, and commentary. Eight succinct chapters provide thorough topical coverage, including:

• Approximation and estimation

• Isolating important variables

• Generalization and special cases

• Dimensional analysis and scaling

• Pictorial methods and graphical solutions

• Symmetry to simplify equations

Providing numerous exercises to test comprehension and requiring only a working knowledge of basic calculus and introductory physics, Thinking About Equations is an excellent supplement for courses in engineering and the physical sciences. It is also a valuable reference for researchers, practitioners, and educators who encounter mathematical problems in their day-to-day work.