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Sets, Functions and Logic: Basic Concepts of University Mathematics (Softcover Reprint of the Original 1st 1981)

Sets, Functions and Logic

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"Sets, Functions and Logic" by Keith J. Devlin is a mathematics book and learning resource focused on Core Mathematics. Best for teachers, students, and readers looking for stronger mathematical understanding.

The purpose of this book is to provide the student beginning undergraduate mathematics with a solid foundation in the basic logical concepts necessary for most of the subjects encountered in a university mathematics course. The main distinction between most school mathematics and university mathematics lies in the degree of rigour demanded at university level. In general, the new student has no experience of wholly rigorous definitions and proofs, with the result that, although competent to handle quite difficult problems in, say, the differential calculus, he/she is totally lost when presented with a rigorous definition oflimits and derivatives. In effect, this means that in the first few weeks at university the student needs to master what is virtually an entire new language {'the language of mathematics'} and to adopt an entirely new mode ofthinking. Needless to say, only the very ablest students come through this process without a great deal of difficulty.

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Best For: Beginning undergraduate students in mathematics
Focus: Basic logical concepts and rigorous definitions and proofs
Covers: Sets, functions, and logic as foundational topics in university mathematics
Why It Matters: It helps students transition from less rigorous school mathematics to the more rigorous approach required in university courses

"Sets, Functions and Logic" by Keith J. Devlin is a mathematics book and learning resource focused on Core Mathematics. Best for teachers, students, and readers looking for stronger mathematical understanding.

Topic: Core Mathematics

Author: Keith J. Devlin

Who this is for:

  • Teachers and classroom instructors
  • Students building subject mastery
  • Readers looking for practical learning support

Why this book matters: It stands out as a practical math resource that helps explain concepts, strengthen problem-solving, and support classroom or independent learning.

The purpose of this book is to provide the student beginning undergraduate mathematics with a solid foundation in the basic logical concepts necessary for most of the subjects encountered in a university mathematics course. The main distinction between most school mathematics and university mathematics lies in the degree of rigour demanded at university level. In general, the new student has no experience of wholly rigorous definitions and proofs, with the result that, although competent to handle quite difficult problems in, say, the differential calculus, he/she is totally lost when presented with a rigorous definition oflimits and derivatives. In effect, this means that in the first few weeks at university the student needs to master what is virtually an entire new language {'the language of mathematics'} and to adopt an entirely new mode ofthinking. Needless to say, only the very ablest students come through this process without a great deal of difficulty.

AuthorKeith J. Devlin
PublisherSpringer
Published1981-01-01
ISBN-139780412226601
BindingPaperback
Pages90
LanguageEnglish
SubjectsMathematics
TopicCore Mathematics

Format: Paperback

Length: 90 pages

Language: English

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