Download E-books Thinking About Equations: A Practical Guide for Developing Mathematical Intuition in the Physical Sciences and Engineering PDF

By Matt A. Bernstein

An available consultant to constructing instinct and talents for fixing mathematical difficulties within the actual sciences and engineering

Equations play a imperative function in challenge fixing throughout a variety of fields of research. realizing what an equation potential is an important step towards forming an efficient technique to remedy it, and it additionally lays the root for a extra profitable and gratifying paintings event. Thinking approximately Equations offers an available advisor to constructing an intuitive knowing of mathematical equipment and, whilst, offers a few useful mathematical instruments for effectively fixing difficulties that come up in engineering and the actual sciences.

Equations shape the root for almost all numerical suggestions, and the authors illustrate how an organization figuring out of challenge fixing can result in more suitable options for computational methods. 8 succinct chapters offer thorough topical insurance, including:

  • Approximation and estimation
  • Isolating very important variables
  • Generalization and distinct cases
  • Dimensional research and scaling
  • Pictorial tools and graphical solutions
  • Symmetry to simplify equations

Each bankruptcy features a common dialogue that's built-in with worked-out difficulties from a variety of fields of analysis, together with physics, engineering, utilized arithmetic, and actual chemistry. those examples illustrate the mathematical options and strategies which are often encountered whilst fixing difficulties. To speed up studying, the labored instance difficulties are grouped through the equation-related options that they illustrate instead of subfields inside of technology and arithmetic, as in traditional remedies. furthermore, each one challenge is followed via a entire answer, clarification, and observation, and various routines on the finish of every bankruptcy provide a chance to check comprehension.

Requiring just a operating wisdom of simple calculus and introductory physics, Thinking approximately Equations is a superb complement for classes in engineering and the actual sciences on the upper-undergraduate and graduate degrees. it's also a worthwhile reference for researchers, practitioners, and educators in all branches of engineering, physics, chemistry, biophysics, and different comparable fields who come across mathematical difficulties of their daily work.

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