Amazing and Aesthetic Aspects of Analysis 2017
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Samenvatting
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:
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.
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 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.
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Inhoud
- Taal
- en
- Bindwijze
- Hardcover
- Oorspronkelijke releasedatum
- 28 mei 2018
- Aantal pagina's
- 722
- Illustraties
- Nee
Betrokkenen
- Hoofdauteur
- Paul Loya
- Hoofduitgeverij
- Springer-Verlag New York Inc.
Overige kenmerken
- Editie
- 1st ed. 2017
- Extra groot lettertype
- Nee
- Product breedte
- 155 mm
- Product lengte
- 235 mm
- Studieboek
- Ja
- Verpakking breedte
- 155 mm
- Verpakking hoogte
- 235 mm
- Verpakking lengte
- 235 mm
- Verpakkingsgewicht
- 1268 g
EAN
- EAN
- 9781493967933
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