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

Equations play a crucial position in challenge fixing throughout a number of fields of analysis. figuring out what an equation skill is a necessary step towards forming an efficient technique to remedy it, and it additionally lays the basis for a extra profitable and enjoyable paintings event. Thinking approximately Equations offers an available advisor to constructing an intuitive realizing of mathematical tools and, while, offers a couple of functional mathematical instruments for effectively fixing difficulties that come up in engineering and the actual sciences.

Equations shape the foundation for almost all numerical options, and the authors illustrate how an organization knowing of challenge fixing may end up in greater ideas for computational ways. 8 succinct chapters supply thorough topical assurance, including:

  • Approximation and estimation
  • Isolating vital variables
  • Generalization and specific cases
  • Dimensional research and scaling
  • Pictorial equipment and graphical solutions
  • Symmetry to simplify equations

Each bankruptcy includes a basic dialogue that's built-in with worked-out difficulties from numerous fields of analysis, together with physics, engineering, utilized arithmetic, and actual chemistry. those examples illustrate the mathematical strategies and strategies which are usually encountered while fixing difficulties. To speed up studying, the labored instance difficulties are grouped by means of the equation-related thoughts that they illustrate in preference to subfields inside of technology and arithmetic, as in traditional remedies. furthermore, every one challenge is observed by means of a accomplished resolution, rationalization, and observation, and diverse routines on the finish of every bankruptcy provide a chance to check comprehension.

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

Show description

Read or Download Thinking About Equations: A Practical Guide for Developing Mathematical Intuition in the Physical Sciences and Engineering PDF

Best Applied books

Schaum's Outline of Theory and Problems of Physics for Engineering and Science (Schaum's Outlines)

Masking physics for engineering and technological know-how, this article contains 695 solved difficulties.

Information Theory: Coding Theorems for Discrete Memoryless Systems. Probability and Mathematical Statistics. A Series of Monographs and Textbooks

Csiszár and Körner's booklet is largely considered as a vintage within the box of data thought, delivering deep insights and specialist remedy of the foremost theoretical concerns. It contains in-depth insurance of the math of trustworthy info transmission, either in two-terminal and multi-terminal community eventualities.

Applied Optics and Optical Engineering, Volume 5: Optical Instruments, Part 2 (v. 5)

Utilized Optics and Optical Engineering, quantity five: Optical tools, half 2 (v. five)

Oxford Users' Guide to Mathematics

The Oxford clients' advisor to arithmetic is without doubt one of the major handbooks on arithmetic to be had. It offers a finished sleek photograph of arithmetic and emphasises the relatives among the several branches of arithmetic, and the purposes of arithmetic in engineering and the ordinary sciences.

Extra info for Thinking About Equations: A Practical Guide for Developing Mathematical Intuition in the Physical Sciences and Engineering

Show sample text content

Rated 4.47 of 5 – based on 10 votes