Carl Bender Advanced Mathematical Methods Pdf

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· 37 ratings · 2 reviews

Start your review of Advanced Mathematical Methods for Scientists and Engineers I: Asymptotic Methods and Perturbation Theory

May 31, 2017 albin james rated it really liked it

This book has a very nice presentation style. It covers quite a lot of topics but the authors try not to overwhelm the student with results. It's also written in a very friendly and unassuming tone which is usually a plus for scared students. I also really liked that they were consistent with their choice of clever opening quotes for each chapter: always some reasonable long and relaxing quote from Sherlock Holmes =) =) This book has a very nice presentation style. It covers quite a lot of topics but the authors try not to overwhelm the student with results. It's also written in a very friendly and unassuming tone which is usually a plus for scared students. I also really liked that they were consistent with their choice of clever opening quotes for each chapter: always some reasonable long and relaxing quote from Sherlock Holmes =) =) ...more

May 12, 2013 Bessel rated it it was amazing

I was introduced to this book when I first took a course on Perturbation and Asymptotic Methods. The chapters on Boundary Layer theory, and WKB theory are well written and fun to read. In addition, I also found Summation of Series chapter quite interesting in regards to accelerated convergence (a numerical technique that is sadly ignored in beginning numerical methods courses). My only gripe with this book is the difficulty of some of the problems. Not all problems are difficult, but even some o I was introduced to this book when I first took a course on Perturbation and Asymptotic Methods. The chapters on Boundary Layer theory, and WKB theory are well written and fun to read. In addition, I also found Summation of Series chapter quite interesting in regards to accelerated convergence (a numerical technique that is sadly ignored in beginning numerical methods courses). My only gripe with this book is the difficulty of some of the problems. Not all problems are difficult, but even some of the "Intermediate" exercises are quite daunting. Regardless, I think this is a MUST own for any scientist/engineer in a research/teaching field. As a supplement to this book, I also recommend reading Chapter 6 (titled Perturbation Theory) in Landau and Lifshitz vol. 3 (Quantum Mechanics Non-Relativistic Theory). ...more