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Amazing and Aesthetic Aspects of Analysis Vital Source e-bog
Paul Loya
(2018)
Springer Nature
589,00 kr.
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Amazing and Aesthetic Aspects of Analysis
Paul Loya
(2018)
Sprog: Engelsk
Springer New York
888,00 kr.
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Detaljer om varen
- Vital Source searchable e-book (Reflowable pages)
- Udgiver: Springer Nature (Maj 2018)
- ISBN: 9781493967957
Lively prose and imaginative exercises draw the reader into this unique introductory real analysis textbook. Motivating the fundamental ideas and theorems that underpin real analysis with historical remarks and well-chosen quotes, the author shares his enthusiasm for the subject throughout. A student reading this book is invited not only to acquire proficiency in the fundamentals of analysis, but to develop an appreciation for abstraction and the language of its expression. In studying this book, students will encounter: the interconnections between set theory and mathematical statements and proofs; the fundamental axioms of the natural, integer, and real numbers; rigorous e-N and e-d definitions; convergence and properties of an infinite series, product, or continued fraction; series, product, and continued fraction formulæ for the various elementary functions and constants. Instructors will appreciate this engaging perspective, showcasing the beauty of these fundamental results.
Licens varighed:
Bookshelf online: 5 år fra købsdato.
Bookshelf appen: ubegrænset dage fra købsdato.
Udgiveren oplyser at følgende begrænsninger er gældende for dette produkt:
Print: 2 sider kan printes ad gangen
Copy: højest 2 sider i alt kan kopieres (copy/paste)
Bookshelf online: 5 år fra købsdato.
Bookshelf appen: ubegrænset dage fra købsdato.
Udgiveren oplyser at følgende begrænsninger er gældende for dette produkt:
Print: 2 sider kan printes ad gangen
Copy: højest 2 sider i alt kan kopieres (copy/paste)
Detaljer om varen
- Hardback
- Udgiver: Springer New York (Maj 2018)
- ISBN: 9781493967933
Lively prose and imaginative exercises draw the reader into this unique introductory real analysis textbook. Motivating the fundamental ideas and theorems that underpin real analysis with historical remarks and well-chosen quotes, the author shares his enthusiasm for the subject throughout. A student reading this book is invited not only to acquire proficiency in the fundamentals of analysis, but to develop an appreciation for abstraction and the language of its expression.
In studying this book, students will encounter:
In studying this book, students will encounter:
- the interconnections between set theory and mathematical statements and proofs;
- the fundamental axioms of the natural, integer, and real numbers;
- rigorous ε-N and ε-δ definitions;
- convergence and properties of an infinite series, product, or continued fraction;
- series, product, and continued fraction formulæ for the various elementary functions and constants.
Preface.- Some of the most beautiful formulæ in the world.-
Part 1. Some standard curriculum.-
1. Very naive set theory, functions, and proofs.-
2. Numbers, numbers, and more numbers.-
3. Infinite sequences of real and complex numbers.-
4. Limits, continuity, and elementary functions.-
5. Some of the most beautiful formulæ in the world I-III.-
Part 2. Extracurricular activities.-
6. Advanced theory of infinite series.-
7. More on the infinite: Products and partial fractions.-
8. Infinite continued fractions.- Bibliography.- Index.
Part 1. Some standard curriculum.-
1. Very naive set theory, functions, and proofs.-
2. Numbers, numbers, and more numbers.-
3. Infinite sequences of real and complex numbers.-
4. Limits, continuity, and elementary functions.-
5. Some of the most beautiful formulæ in the world I-III.-
Part 2. Extracurricular activities.-
6. Advanced theory of infinite series.-
7. More on the infinite: Products and partial fractions.-
8. Infinite continued fractions.- Bibliography.- Index.
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Tlf 77 42 43 44 - email poly@polyteknisk.dk - CVR 34072655 - Sydbank Reg: 6748 Konto 0001107927