{"product_id":"mathematical-tools-for-realworld-applications-isbn-9780262543965","title":"Mathematical Tools for Real-World Applications","description":"\u003cb\u003eTechniques for applying mathematical concepts in the real world: six rarely taught but crucial tools for analysis, research, and problem-solving.\u003c\/b\u003e\u003cbr\u003e\u003cbr\u003eMany 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.\u003cbr\u003e \u003cbr\u003eThe 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.\u003cbr\u003e \u003cbr\u003eAlexandr Draganov was born and raised in Kyiv, Ukraine; in light of the current war in Ukraine he will donate 100% of his royalties for the first year to support medical and humanitarian efforts there.​List of Figures xv\u003cbr\u003eList of Tables xix\u003cbr\u003ePreface xxi\u003cbr\u003eHow to Read This Book xxv\u003cbr\u003e1 Units 1\u003cbr\u003e2 Limiting Cases 19\u003cbr\u003e3 Symmetry 73\u003cbr\u003e4 Scaling 121\u003cbr\u003e5 Order of Magnitude Estimates 151\u003cbr\u003e6 Successive Approximations 175\u003cbr\u003e7 Tying It All Together: The Probability of Catastrophic Events 215\u003cbr\u003e8 Tying It All Together: Tracking a GPS Satellite 229\u003cbr\u003eA Problems and Solutions 241\u003cbr\u003eFurther Reading 271\u003cbr\u003eBibliography 273\u003cbr\u003eIndex 275\u003cbr\u003eIndex of Problems 279Alexandr Draganov has more than twenty-five years of experience doing research that spans space science (as a graduate student at Stanford) and navigation applications (as a Technical Fellow at Boeing).","brand":"The MIT Press","offers":[{"title":"Default Title","offer_id":46300063531237,"sku":"NP9780262543965","price":40.0,"currency_code":"USD","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/1842\/7735\/files\/9780262543965.jpg?v=1767732415","url":"https:\/\/k12savings.com\/products\/mathematical-tools-for-realworld-applications-isbn-9780262543965","provider":"K12savings","version":"1.0","type":"link"}