Proofs 101: an introduction to formal mathematics

By:

Kirtland, Joseph

Material type: Text

TextPublication details: CRC Press 2021 Boca RatonDescription: xix, 176 p.: ill. Includes bibliographical references and indexISBN:

9780367536817

Subject(s):

DDC classification:

511.36 K4P7

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 a first course in linear algebra. The book prepares students for the proofs they will need to analyze 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 . Offers a balanced variety of easy, moderate, and difficult exercises https://www.routledge.com/Proofs-101-An-Introduction-to-Formal-Mathematics/Kirtland/p/book/9780367536817

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Holdings
Item type	Current library	Collection	Call number	Copy number	Status	Date due	Barcode	Item holds
Book	Ahmedabad General Stacks	Non-fiction	511.36 K4P7 (Browse shelf(Opens below))		Available		203462
Book	Bodh Gaya General Stacks	OM&QT	511.36 KIR (Browse shelf(Opens below))	1	Available		IIMG-004186

Total holds: 0

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Previous	511.322 G3E9 Extremal finite set theory	511.322 W2P3 The pea and the sun: a mathematical paradox	511.352 K5C2 Causality, probability, and time	511.36 K4P7 Proofs 101: an introduction to formal mathematics	511.36 K7T7 Transition to analysis with proof	511.42 M3S8 Structural equation modelling with partial least squares using Stata and R	511.43 G8M3 Measurement error and misclassification in statistics and epidemiology: impacts and bayesian adjustments	Next

Table of content

1. Logic
2. Proof Techniques
3. Sets
4. Proof by Mathematical Induction
5. Relations
6. Functions
7. Cardinality of Sets
8. Conclusion
9. 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 a first course in linear algebra.
The book prepares students for the proofs they will need to analyze 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
. Offers a balanced variety of easy, moderate, and difficult exercises

https://www.routledge.com/Proofs-101-An-Introduction-to-Formal-Mathematics/Kirtland/p/book/9780367536817

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