Transition to proof : an introduction to advanced mathematics
Nicholson, Neil R.
Transition to proof : an introduction to advanced mathematics - Boca Raton, FL : CRC Press, Taylor & Francis Group, 2019. - xiii, 450 pages : illustrations ; 24 cm - Textbooks in mathematics .
Includes bibliographical references and index
A Transition to Proof: An Introduction to Advanced Mathematics describes writing proofs as a creative process. There is a lot that goes into creating a mathematical proof before writing it. Ample discussion of how to figure out the "nuts and bolts'" of the proof takes place: thought processes, scratch work and ways to attack problems. Readers will learn not just how to write mathematics but also how to do mathematics. They will then learn to communicate mathematics effectively. The text emphasizes the creativity, intuition, and correct mathematical exposition as it prepares students for courses beyond the calculus sequence. The author urges readers to work to define their mathematical voices. This is done with style tips and strict "mathematical do’s and don’ts", which are presented in eye-catching "text-boxes" throughout the text. The end result enables readers to fully understand the fundamentals of proof.
9780367201579
Proof theory
510.2 / NIC-T
Transition to proof : an introduction to advanced mathematics - Boca Raton, FL : CRC Press, Taylor & Francis Group, 2019. - xiii, 450 pages : illustrations ; 24 cm - Textbooks in mathematics .
Includes bibliographical references and index
A Transition to Proof: An Introduction to Advanced Mathematics describes writing proofs as a creative process. There is a lot that goes into creating a mathematical proof before writing it. Ample discussion of how to figure out the "nuts and bolts'" of the proof takes place: thought processes, scratch work and ways to attack problems. Readers will learn not just how to write mathematics but also how to do mathematics. They will then learn to communicate mathematics effectively. The text emphasizes the creativity, intuition, and correct mathematical exposition as it prepares students for courses beyond the calculus sequence. The author urges readers to work to define their mathematical voices. This is done with style tips and strict "mathematical do’s and don’ts", which are presented in eye-catching "text-boxes" throughout the text. The end result enables readers to fully understand the fundamentals of proof.
9780367201579
Proof theory
510.2 / NIC-T
