This book provides a systematic approach that will help you master the basic techniques that are used in all proofs, regardless of the mathematical subject matter in which the proof arises. Once you know these techniques, you'll be better equipped to read, understand, and actual…
This book provides a systematic approach that will help you master the basic techniques that are used in all proofs, regardless of the mathematical subject matter in which the proof arises. Once you know these techniques, you'll be better equipped to read, understand, and actual…
"Transition to Real Analysis with Proof provides undergraduate students with an introduction to analysis including an introduction to proof. The text combines the topics covered in a transition course to lead into a first course on analysis. This combined approach allows instruc…
"A textbook for students who are learning how to write a mathematical proof, a validation of the truth of a mathematical statement"--
"This book offers an introduction to the art and craft of proof writing. The author, a leading research mathematician, presents a series of engaging and compelling mathematical statements with interesting elementary proofs. These proofs capture a wide range of topics, including …
A classical beginning -- Multiple proof -- Number theory -- Mathematical induction -- Discrete mathematics -- Proofs without words -- Theory of games -- Pick's theorem -- Lattice-point polygons -- Polygonal dissection -- Functions and relations -- Graph theory -- Infinity -- Ord…
"A textbook for students who are learning how to write a mathematical proof, a validation of the truth of a mathematical statement"--
Mathematical Proofs: A Transition to Advanced Mathematics, 2/e, prepares students for the more abstract mathematics courses that follow calculus. This text introduces students to proof techniques and writing proofs of their own. As such, it is an introduction to the mathematics …
"This book contains an introduction to mathematical proofs, including fundamental material on logic, proof methods, set theory, number theory, relations, functions, cardinality, and the real number system. The book is divided into approximately fifty brief lectures. Each lecture…
"An Introduction to Mathematical Proofs presents fundamental material on logic, proof methods, set theory, number theory, relations, functions, cardinality, and the real number system. The text uses a methodical, detailed, and highly structured approach to proof techniques and r…
"This book contains an introduction to mathematical proofs, including fundamental material on logic, proof methods, set theory, number theory, relations, functions, cardinality, and the real number system. The book is divided into approximately fifty brief lectures. Each lecture…
"This textbook is designed for students. Rather than the typical definition-theorem-proof-repeat style, this text includes much more commentary, motivation and explanation. The proofs are not terse, and aim for understanding over economy. Furthermore, dozens of proofs are preced…
