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How to Derive a Formula - Volume 1: Basic Analytical Skills and Methods for Physical Scientists (Essential Textbooks in Physics)
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About How To Derive A Formula - Volume 1: Basic
Product Description Will artificial intelligence solve all problems, making scientific formulae redundant? The authors of this book would argue that there is still a vital role in formulating them to make sense of the laws of nature. To derive a formula one needs to follow a series of steps; last of all, check that the result is correct, primarily through the analysis of limiting cases. The book is about unravelling this machinery. Mathematics is the 'queen of all sciences', but students encounter many obstacles in learning the subject — familiarization with the proofs of hundreds of theorems, mysterious symbols, and technical routines for which the usefulness is not obvious upfront. Those interested in the physical sciences could lose motivation, not seeing the wood for the trees.How to Derive a Formula is an attempt to engage these learners, presenting mathematical methods in simple terms, with more of an emphasis on skills as opposed to technical knowledge. Based on intuition and common sense rather than mathematical rigor, it teaches students from scratch using pertinent examples, many taken across the physical sciences. This book provides an interesting new perspective of what a mathematics textbook could be, including historical facts and humour to complement the material. Readership: Advanced and enthusiastic school students preparing for universities, specializing in science — A-level (UK), Abitur (Germany), Lycée (France), high school (USA) and alike; teachers and tutors; undergraduate students; university lecturers. Review "In this book, the authors teach the art of physical applied mathematics at the advanced undergraduate level. In contrast to traditional mathematics books, formal derivations and theorems are replaced by worked examples with intuitive solutions and approximations, given some familiarity with physics and chemistry. In this way, the book covers an ambitious range of topics, such as vector calculus, differential and integral equations, linear algebra, probability and statistics, functions of complex variables, scaling and dimensional analysis. Systematic methods of asymptotic approximation are presented in simple, practical terms, showing the value of analyzing 'limiting cases'. Unlike most science or engineering textbooks, the physical examples span an equally broad range, allowing the savvy reader to appreciate the universal beauty of applied mathematics, while learning useful methods to derive a formula." -- Martin Z Bazant, Professor of Mathematics and E G Roos Professor of Chemical Engineering, Massachusetts Institute of Technology "For many science undergraduates, the teaching of mathematics is divorced from the real business of learning about science. For them, mathematics is just a mental hurdle that has to be overcome in exams. In contrast, this book shows the student that mathematics is, and has always been, the language of science because it is only through mathematical analysis that a model for phenomenon or process can be constructed and tested against experiment. By embedding the leaning of mathematics in science, this book shows the student how understanding in science is developed and what it entails." Adrian Sutton FRS Emeritus Professor of Physics Imperial College London "The biggest problem of understanding the scientific and engineering subjects for students is the lack of proper mathematical training. We are teaching them how to understand the science, but the problem is that our language might be too complex for them and the message is frequently lost. Students and scholars did not have before any resources to overcome this difficulty. This book fills this gap in a very elegant and attractive way. I strongly recommend this book for any person who is interested in understanding the mechanisms of the natural phenomena, and I believe that every science and engineering student should have this book on his/her table!" -- Anatoly B Kolomeisky, Rice University
