In Judgments of Beauty in Theory Evaluation, the author argues that judgments of beauty are a justified part of theory evaluation. This argument bears on the debate over judgments of beauty in scientific theory evaluation and also prompts an examination of judgments of beauty in philosophical theory evaluation.
Designed for undergraduates in mathematics, engineering, the physical sciences and for practicing engineers, the book focuses on practical applications of engineering and science used in industry. It first presents the theoretical concepts followed by practical applications of vector calculus, differentiation, and integration. MATLAB examples with ......
In Judgments of Beauty in Theory Evaluation, the author argues that judgments of beauty are a justified part of theory evaluation. This argument bears on the debate over judgments of beauty in scientific theory evaluation and also prompts an examination of judgments of beauty in philosophical theory evaluation.
Unexpected Stories of Mathematical Americans through History
Once upon a time in America, few knew or cared about math. In Republic of Numbers, David Lindsay Roberts tells the story of how all that changed, as America transformed into a powerhouse of mathematical thinkers. Covering more than 200 years of American history, Roberts recounts the life stories of twenty-three ......
This book may be used by students and professionals in physics and engineering that have completed first-year calculus and physics. It will be useful for scientists and engineers seeking updates on the most recent packages included in MATLAB and Maple 2016. An introductory chapter reviews topics in algebra, trigonometry and complex numbers that ......
Breaking the mold of existing calculus textbooks, Calculus in Context draws students into the subject in two new ways. Part I develops the mathematical preliminaries (including geometry, trigonometry, algebra, and coordinate geometry) within the historical frame of the ancient Greeks and the heliocentric revolution in astronomy. It then ......
Understanding tensors is essential for any physics student dealing with phenomena where causes and effects have different directions. A horizontal electric field producing vertical polarization in dielectrics; an unbalanced car wheel wobbling in the vertical plane while spinning about a horizontal axis; an electrostatic field on Earth observed to ......
As one of the classical statistical regression techniques, and often the first to be taught to new students, least squares fitting can be a very effective tool in data analysis. Given measured data, we establish a relationship between independent and dependent variables so that we can use the data predictively. The main concern of Least Squares ......
A little bucket, one-third full, is 8 inches deep, and its upper and lower diameters are 7 inches and 6 inches, respectively. How large is the frog which, jumping into the bucket, causes the water to rise 3 inches? Word problems not unlike this example are a staple on math tests and of abiding interest to students, teachers, and professional ......