000 -LEADER |
fixed length control field |
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008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION |
fixed length control field |
220505b xxu||||| |||| 00| 0 eng d |
020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
International Standard Book Number |
9780367180614 |
082 ## - DEWEY DECIMAL CLASSIFICATION NUMBER |
Classification number |
513.5 |
Item number |
KAY |
100 ## - MAIN ENTRY--PERSONAL NAME |
Personal name |
Kay, Anthony |
245 ## - TITLE STATEMENT |
Title |
Number systems : a path into rigorous mathematics |
260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) |
Name of publisher, distributor, etc |
chapman and hall/crc, |
Date of publication, distribution, etc |
2022 |
Place of publication, distribution, etc |
Boca Raton : |
300 ## - PHYSICAL DESCRIPTION |
Extent |
xi,304 p. ; |
Other physical details |
ill., |
Dimensions |
25 cm |
365 ## - TRADE PRICE |
Price amount |
52.99 |
Price type code |
GBP |
Unit of pricing |
104.80 |
504 ## - BIBLIOGRAPHY, ETC. NOTE |
Bibliography, etc |
Includes bibliographical references and index. |
520 ## - SUMMARY, ETC. |
Summary, etc |
Number Systems: A Path into Rigorous Mathematics aims to introduce number systems to an undergraduate audience in a way that emphasises the importance of rigour, and with a focus on providing detailed but accessible explanations of theorems and their proofs. The book continually seeks to build upon students' intuitive ideas of how numbers and arithmetic work, and to guide them towards the means to embed this natural understanding into a more structured framework of understanding. The author's motivation for writing this book is that most previous texts, which have complete coverage of the subject, have not provided the level of explanation needed for first-year students. On the other hand, those that do give good explanations tend to focus broadly on Foundations or Analysis and provide incomplete coverage of Number Systems. Features Approachable for students who have not yet studied mathematics beyond school Does not merely present definitions, theorems and proofs, but also motivates them in terms of intuitive knowledge and discusses methods of proof Draws attention to connections with other areas of mathematics Plenty of exercises for students, both straightforward problems and more in-depth investigations Introduces many concepts that are required in more advanced topics in mathematics. |
650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM |
Topical term or geographic name as entry element |
Number theory |
|
Topical term or geographic name as entry element |
Numeration |
|
Topical term or geographic name as entry element |
Bijection |
|
Topical term or geographic name as entry element |
Binary operation |
|
Topical term or geographic name as entry element |
Cardinality |
|
Topical term or geographic name as entry element |
Cayley-Dickson construction |
|
Topical term or geographic name as entry element |
Coprime |
|
Topical term or geographic name as entry element |
Dedekind cut |
|
Topical term or geographic name as entry element |
Division theorem |
|
Topical term or geographic name as entry element |
Exponentiation |
|
Topical term or geographic name as entry element |
Fundamental theorem |
|
Topical term or geographic name as entry element |
Gelfond-Schneider Theorem |
|
Topical term or geographic name as entry element |
Isomorphism |
|
Topical term or geographic name as entry element |
Ordered pair |
|
Topical term or geographic name as entry element |
Prime factorisation |
|
Topical term or geographic name as entry element |
Quadratic equation |
|
Topical term or geographic name as entry element |
Trigonometric function |
942 ## - ADDED ENTRY ELEMENTS (KOHA) |
Source of classification or shelving scheme |
|
Item type |
Books |