Mathematical Proofs: A Transition to Advanced Mathematics, Third Edition, prepares students for the more abstract mathematics courses that follow calculus. Appropriate for self-study or for use in the classroom, this text introduces students to proof techniques, analyzing proofs, and writing proofs of their own. Written in a clear, conversational style, this book provides a solid introduction to such topics as relations, functions, and cardinalities of sets, as well as the theoretical aspects of fields such as number theory, abstract algebra, and group theory. It is also a great reference text that students can look back to when writing or reading proofs in their more advanced courses.
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Mathematical Proofs: A Transition to Advanced Mathematics (3rd Edition)
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The chapter lessons are easy to understand and curt, but the exercises are where this book shines.
The book covers all the basics of sets and logic, in case you are not up to speed on those topics. Later chapters focus on various topics, so you could skip some of those that don't interest you. This book is highly recommended before undertaking a rigorous calculus or other higher level math course, since the study of proofs seems to be something that is left out these days in high school and college.