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Proofs 101 : an introduction to formal mathematics / Joseph Kirtland.

By: Material type: TextTextPublisher: Boca Raton : C&H/CRC Press, 2020Edition: First editionDescription: pages cmContent type:
  • text
Media type:
  • unmediated
Carrier type:
  • volume
ISBN:
  • 9780367536930
  • 9780367536817
Subject(s): Additional physical formats: Online version:: Proofs 101.DDC classification:
  • 511.3/6 23
LOC classification:
  • QA9.54 .K57 2020
Contents:
Logic -- Proof techniques -- Sets -- Proof by mathematical induction -- Relations -- Functions -- Cardinality of sets -- Conclusion -- Hints and solutions.
Summary: "Proofs 101: An Introduction to Formal Mathematics serves as an introduction to proofs for mathematics majors who have completed the calculus sequence (at least Calculus I and II) and Linear Algebra. It prepares students for the proofs they will need to analyse and write, the axiomatic nature of mathematics, and the rigors of upper-level mathematics courses. Basic number theory, relations, functions, cardinality, and set theory will provide the material for the proofs and lay the foundation for a deeper understanding of mathematics, which students will need to carry with them throughout their future studies Features Designed to be teachable across a single semester Suitable as an undergraduate textbook for Introduction to Proofs or Transition to Advanced Mathematics courses A balanced variety of easy, moderate, and difficult exercises"-- Provided by publisher.
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Holdings
Item type Current library Home library Call number Status Date due Barcode
Book Book Dept. of Mathematics Processing Center Dept. of Mathematics 511.36 KIR.I (Browse shelf(Opens below)) Available MAT7962

Includes bibliographical references and index.

Logic -- Proof techniques -- Sets -- Proof by mathematical induction -- Relations -- Functions -- Cardinality of sets -- Conclusion -- Hints and solutions.

"Proofs 101: An Introduction to Formal Mathematics serves as an introduction to proofs for mathematics majors who have completed the calculus sequence (at least Calculus I and II) and Linear Algebra. It prepares students for the proofs they will need to analyse and write, the axiomatic nature of mathematics, and the rigors of upper-level mathematics courses. Basic number theory, relations, functions, cardinality, and set theory will provide the material for the proofs and lay the foundation for a deeper understanding of mathematics, which students will need to carry with them throughout their future studies Features Designed to be teachable across a single semester Suitable as an undergraduate textbook for Introduction to Proofs or Transition to Advanced Mathematics courses A balanced variety of easy, moderate, and difficult exercises"-- Provided by publisher.

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