عنوان

An introduction to the language of mathematics /

(Number (ISBN

3030006409

(Number (ISBN

3030006417

(Number (ISBN

9783030006402

(Number (ISBN

9783030006419

Erroneous ISBN

9783030006402

Title Proper

An introduction to the language of mathematics /

General Material Designation

[Book]

First Statement of Responsibility

Frédéric Mynard.

Place of Publication, Distribution, etc.

Cham, Switzerland :

Name of Publisher, Distributor, etc.

Springer,

Date of Publication, Distribution, etc.

2018.

Specific Material Designation and Extent of Item

1 online resource (xii, 185 pages) :

Other Physical Details

illustrations (some color)

Text of Note

Includes bibliographical references and index.

Text of Note

Chapter 1- The language of logic and set-theory -- Chapter 2- On proofs and writing mathematics -- Chapter 3- Relations -- Chapter 4- Cardinality -- Appendix A- Complements -- Appendix B- Solutions to exercises in the text -- Index -- Bibliography.

0

Text of Note

This is a textbook for an undergraduate mathematics major transition course from technique-based mathematics (such as Algebra and Calculus) to proof-based mathematics. It motivates the introduction of the formal language of logic and set theory and develops the basics with examples, exercises with solutions and exercises without. It then moves to a discussion of proof structure and basic proof techniques, including proofs by induction with extensive examples. An in-depth treatment of relations, particularly equivalence and order relations completes the exposition of the basic language of mathematics. The last chapter treats infinite cardinalities. An appendix gives some complement on induction and order, and another provides full solutions of the in-text exercises. The primary audience is undergraduate mathematics major, but independent readers interested in mathematics can also use the book for self-study.--

Source for Acquisition/Subscription Address

Springer Nature

Stock Number

com.springer.onix.9783030006419

International Standard Book Number

9783030006402

International Standard Book Number

9783030006426

Proof theory.

Mathematical logic.

Mathematics-- Logic.

Proof theory.

MAT018000

PBCD

PBCD

Number

Edition

Class number

Mynard, Frédéric,1973-

Date of Transaction

20200823072026.0

Cataloguing Rules (Descriptive Conventions))

pn

Electronic name

[Book]

Y