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This concise, selfcontained textbook gives an indepth look at problemsolving from a mathematicians pointofview. Each chapter builds off the previous one, while introducing a variety of methods that could be used when approaching any given problem. Creative thinking is the key to solving mathematical problems, and this book outlines the tools necessary to improve the readers technique.The text is divided into twelve chapters, each providing corresponding hints, explanations, and finalization of solutions for the problems in the given chapter. For the readers convenience, each exercise is marked with the required background level. This book implements a variety of strategies that can be used to solve mathematical problems in fields such as analysis, calculus, linear and multilinear algebra and combinatorics. It includes applications to mathematical physics, geometry, and other branches of mathematics. Also provided within the text are reallife problems in engineering and technology.Thinking in Problems is intended for advanced undergraduate and graduate students in the classroom or as a selfstudy guide. Prerequisites include linear algebra and analysis.
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