Mathematical Tools for Real-World Applications: A Gentle Introduction for Students and Practitioners

Autor/in	Draganov, Alexandr
Titel	Mathematical Tools for Real-World Applications: A Gentle Introduction for Students and Practitioners
Quelle	(2022), (306 Seiten) PDF als Volltext Verfügbarkeit
Sprache	englisch
Dokumenttyp	gedruckt; online; Monographie
ISBN	978-0-262-54396-5
Schlagwörter	Leitfaden; Unterricht; Lernender; Mathematical Concepts; Relevance (Education); College Mathematics; Engineering; Technical Occupations; Scientists; Data Analysis; Research; Problem Solving; Equations (Mathematics); Probability; Computation; Geographic Information Systems; Satellites (Aerospace) + Suchen Sie Ihr Suchwort? Lesson concept; Instruction; Unterrichtsentwurf; Unterrichtsprozess; Relevance; Relevanz; Maschinenbau; Technical occupation; Technischer Beruf; Scientist; Wissenschaftler; Auswertung; Forschung; Problemlösen; Equations; Mathematics; Gleichungslehre; Wahrscheinlichkeitsrechnung; Wahrscheinlichkeitstheorie; Satellit
Abstract	Techniques for applying mathematical concepts in the real world: six rarely taught but crucial tools for analysis, research, and problem-solving. Many young graduates leave school with a solid knowledge of mathematical concepts but struggle to apply these concepts in practice. Real scientific and engineering problems are different from those found in textbooks: they are messier, take longer to solve, and standard solution recipes might not apply. This book fills the gap between what is taught in the typical college curriculum and what a practicing engineer or scientist needs to know. It presents six powerful tools for analysis, research, and problem solving in the real world: dimensional analysis, limiting cases, symmetry, scaling, making order of magnitude estimates, and the method of successive approximations. The book does not focus on formulaic manipulations of equations, but emphasizes analysis and explores connections between the equations and the application. Each chapter introduces a set of ideas and techniques and then shows how these techniques apply to a series of problems. (Knowledge of algebra and trigonometry, but not calculus, is required.) The final two chapters tie all six techniques together and apply them to two real-world problems: computing the probability of a rare, catastrophic event, and tracking a satellite with a GPS receiver. Readers will learn how to analyze, dissect, and gain insight into the results by using all the techniques presented in earlier chapters--and discover how analysis tools work on problems not concocted for a textbook. The appendix provides solutions to many of the problems found throughout the book. (As Provided).
Anmerkungen	MIT Press. 55 Hayward Street, Cambridge, MA 02142. Tel: 800-405-1619; Tel: 617-253-5646; Fax: 617-253-1709; e-mail: mitpress-orders@mit.edu; Web site: https://mitpress.mit.edu/
Erfasst von	ERIC (Education Resources Information Center), Washington, DC
Update	2024/1/01