Amazing and Aesthetic Aspects of Analysis - Rilegato

Loya, Paul

Rilegato

ISBN 10: 1493967932 ISBN 13: 9781493967933

Casa editrice: Springer Nature, 2018

Riassunto

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.

Su questo libro

Informazioni sull?autore

Paul Loya is a professor of mathematics at Binghamton University.

Dalla quarta di copertina

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.

Dettagli dell'edizione

• Editore: Springer Nature
• Data di pubblicazione: 2018
• Lingua: Inglese
• ISBN 10: 1493967932
• ISBN 13: 9781493967933
• Rilegatura: Copertina rigida
• Numero edizione: 1
• Numero di pagine: 722
• Contatto del produttore: non disponibile
• Persona responsabile: non disponibile