An antidote to mathematical rigor mortis, teaching how to guess answers without needing a proof or an exact calculation. In problem solving, as in street fighting, rules are for fools: do whatever works—don't just stand there! Yet we often fear an unjustified leap even though it may land us on a correct result. Traditional mathematics teaching is largely about solving exactly stated problems exactly, yet life often hands us partly defined problems needing only moderately accurate solutions. This engaging book is an antidote to the rigor mortis brought on by too much mathematical rigor, teaching us how to guess answers without needing a proof or an exact calculation. In Street-Fighting Mathematics, Sanjoy Mahajan builds, sharpens, and demonstrates tools for educated guessing and down-and-dirty, opportunistic problem solving across diverse fields of knowledge—from mathematics to management. Mahajan describes six tools: dimensional analysis, easy cases, lumping, picture proofs, successive approximation, and reasoning by analogy. Illustrating each tool with numerous examples, he carefully separates the tool—the general principle—from the particular application so that the reader can most easily grasp the tool itself to use on problems of particular interest. Street-Fighting Mathematics grew out of a short course taught by the author at MIT for students ranging from first-year undergraduates to graduate students ready for careers in physics, mathematics, management, electrical engineering, computer science, and biology. They benefited from an approach that avoided rigor and taught them how to use mathematics to solve real problems. Street-Fighting Mathematics will appear in print and online under a Creative Commons Noncommercial Share Alike license.

Based on the Body of Knowledge, this book is designed to serve as a practical guide for energy professionals preparing to take AEE’s Certified Energy Manager® (CEM®) examination. The reference presents an overview of the specific areas of expertise referenced in the current Body of Knowledge in a guided preparatory format, including detailed, specifically targeted reference materials. The full scope of energy calculations and problem solving strategies which must be mastered are presented, covering relevant codes and standards, energy accounting and economics, electrical, lighting and HVAC systems, motors and drives, industrial systems, building envelope, building automation and control systems, renewable energy, boiler and steam systems, thermal storage, maintenance, commissioning, alternative financing, and much more. Green Building, LEED and Energy Star programs are also addressed. The appendix provides a broad range of useful reference tables, as well as mathematical formulas specific to each specific area of energy management addressed. While aimed at those taking the ANSI-certified CEM exam, this text is also an excellent reference to be used throughout an energy manager’s professional career.

Useful for School students, teachers, and professionals and a must for those appearing for competitive exams like UPSC, MBA, MCA, GMAT, GRE, CSAT, etc. “After reading this book, solving 5378942639 ÷ 8120594263, finding the square of 99975, the cube root of 704969 or calculating any day from 500 years would be child’s play

Get started solving problems with the Python programming language!This book introduces some of the most famous scientific libraries for Python: * Python's math and statistics module to do calculations * Matplotlib to build 2D and 3D plots * NumPy to complete calculations on arrays * Jupiter Notebooks to share results with a team * SymPy to solve equations * PySerial to control an Arduino with Python * MicroPython to control an LEDThis book is great for budding engineers and data scientists. The text starts with the basics but finishes with topics rarely included in other engineering and data science programming books like SymPy and PySerial and MicroPython.