Mathematical Analysis Fundamentals - Couverture rigide

Bashirov, Agamirza

Couverture rigide

ISBN 10 : 0128010010 ISBN 13 : 9780128010013

Editeur : Elsevier Science Publishing Co Inc, 2014

Synopsis

The author s goal is a rigorous presentation of the fundamentals of analysis, starting from elementary level and moving to the advanced coursework. The curriculum of all mathematics (pure or applied) and physics programs include a compulsory course in mathematical analysis. This book will serve as can serve a main textbook of such (one semester) courses. The book can also serve as additional reading for such courses as real analysis, functional analysis, harmonic analysis etc. For non-math major students requiring math beyond calculus, this is a more friendly approach than many math-centric options.

• Friendly and well-rounded presentation of pre-analysis topics such as sets, proof techniques and systems of numbers.

• Deeper discussion of the basic concept of convergence for the system of real numbers, pointing out its specific features, and for metric spaces

• Presentation of Riemann integration and its place in the whole integration theory for single variable, including the Kurzweil-Henstock integration

• Elements of multiplicative calculus aiming to demonstrate the non-absoluteness of Newtonian calculus.

"

A propos du livre

Présentation de l'éditeur

The author’s goal is a rigorous presentation of the fundamentals of analysis, starting from elementary level and moving to the advanced coursework. The curriculum of all mathematics (pure or applied) and physics programs include a compulsory course in mathematical analysis. This book will serve as can serve a main textbook of such (one semester) courses. The book can also serve as additional reading for such courses as real analysis, functional analysis, harmonic analysis etc. For non-math major students requiring math beyond calculus, this is a more friendly approach than many math-centric options.

• Friendly and well-rounded presentation of pre-analysis topics such as sets, proof techniques and systems of numbers.

• Deeper discussion of the basic concept of convergence for the system of real numbers, pointing out its specific features, and for metric spaces

• Presentation of Riemann integration and its place in the whole integration theory for single variable, including the Kurzweil-Henstock integration

• Elements of multiplicative calculus aiming to demonstrate the non-absoluteness of Newtonian calculus.

Revue de presse

"... the book does have numerous good exercises that test the student’s grasp and cover some advanced topics, and it does give thorough coverage of much of classical analysis..." --MAA Reviews, 2014

Détails de l'édition

• Éditeur: Elsevier Science Publishing Co Inc
• Date d'édition: 2014
• Langue: anglais
• ISBN 10: 0128010010
• ISBN 13: 9780128010013
• Reliure: Relié
• Nombre de pages: 362
• Coordonnées du fabricant: non disponible
• Personne responsable: Barbara Criscuolo; b.criscuolo@lswr.it; ; Via Spadolini, 7; Milano; 20141; Italie