Elements of Higher Mathematics: Learning Mathematics Through Numbers
This is a textbook for beginning mathematics students. Knowledge of school mathematics is not presumed: it starts with the basics of counting. The underlying idea is that the best way to learn mathematics is by doing mathematics. For beginning students it is sometimes a problem to assume when lookin...
| Autor principal: | |
|---|---|
| Formato: | Libro |
| Publicado: |
Radboud University Press
2024
|
| Acceso en línea: | Ver este registro en EBSCOhost |
| fields | @attributes: recordID: 1 pdfLink: plink: https://search.ebscohost.com/login.aspx?direct=true&db=nlebk&AN=4079902&site=ehost-live header: @attributes: shortDbName: nlebk uiTerm: 4079902 longDbName: eBook Collection (EBSCOhost) uiTag: AN controlInfo: bkinfo: btl: Elements of Higher Mathematics: Learning Mathematics Through Numbers aug: au: Frans Keune isbn: 9789493296824 imageinfo: pubinfo: dt: @attributes: year: 2024 month: 01 day: 01 dtAvail: @attributes: year: 2025 month: 06 day: 25 pub: Radboud University Press pubContract: Radboud University Press place: Nijmegen price: 0.01 limitsGroup: maxCheckoutDays: 1500 pda: N printPagesOffline: 100 printPagesOnline: 100 previewPages: 10000 prePubGroup: dewey: @attributes: class: 510 item: 510 lc: @attributes: class: QA39.3 .K4813 2024 item: QA 39 .3 .K4813 2024 artinfo: ui: 4079902 1464581337 formats: fmt: @attributes: type: EB doid: NL$4079902$PDF caption: PDF download: Y tig: atl: Elements of Higher Mathematics: Learning Mathematics Through Numbers ptl: Elements of Higher Mathematics aug: au: Frans Keune su: Mathematics--Textbooks sug: subj: MATHEMATICS / General Mathematics--Textbooks ab: This is a textbook for beginning mathematics students. Knowledge of school mathematics is not presumed: it starts with the basics of counting. The underlying idea is that the best way to learn mathematics is by doing mathematics. For beginning students it is sometimes a problem to assume when looking for proof. For the exercises in this textbook, this situation does not occur: except for the introductory part all is built on Peano's axioms for the natural numbers, using the language of set theory only. The book starts explaining the way mathematics works: the use of intuitive set theory and the relation between language and mathematical entities. The common thread in the book is the construction of the number system all the way from the natural numbers, via the rationals and the reals to the complex numbers. For the student, the advantages of this approach are: One learns concepts which are fundamental for all of mathematics. The common thread offers a natural way for the introduction of these concepts. It helps to stay motivated during the course. One learns to think like a mathematician. One obtains insight into the way mathematics is built from simple ideas. It helps to decide whether one is fitted for a mathematics study. For the interested reader also the other possible completions of the rationals - the p-adic numbers - are constructed. The book contains more than just the construction of the number system: there is also attention for its use, especially in combinatorics, number theory and cryptography, leaving mathematical analysis to the many textbooks for analysis and calculus courses. pubtype: eBook doctype: Book ougenre: Book language: English copyright: @attributes: flag: N copyrightText: holdings: @attributes: islocal: N |
|---|