Besides giving readers the techniques for solving polynomial equations and congruences, An Introduction to Mathematical Thinking provides preparation for understanding more advanced topics in Linear and Modern Algebra, as well as Calculus. This book introduces proofs and mathematical thinking while teaching basic algebraic skills involving number systems, including the integers and complex numbers. Ample questions at the end of each chapter provide opportunities for learning and practice; the Exercises are routine applications of the material in the chapter, while the Problems require more ingenuity, ranging from easy to nearly impossible. Topics covered in this comprehensive introduction range from logic and proofs, integers and diophantine equations, congruences, induction and binomial theorem, rational and real numbers, and functions and bijections to cryptography, complex numbers, and polynomial equations. With its comprehensive appendices, this book is an excellent desk reference for mathematicians and those involved in computer science.
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2 of 2 people found the following review helpful:
4.0 out of 5 stars
Very good book, but I wish they saved some trees.,
By karpov (Toronto) - See all my reviews
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This review is from: Introduction to Mathematical Thinking: Algebra and Number Systems (Paperback)
I used a previous edition of this book in my first year university college, and it was really good. However, what I really hate is how this newer edition (which my wife later got for her math course) contains some errors which existed in the previous edition. Seriously, guys, stop bankrupting poor students and killing trees - new edition requires more than just reordering end-of-chapter problems and numbering chapters from 1 instead of zero.
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