Synopsis
Real Analysis: A Constructive Approach Through Interval Arithmetic presents a careful treatment of calculus and its theoretical underpinnings from the constructivist point of view. This leads to an important and unique feature of this book: All existence proofs are direct, so showing that the numbers or functions in question exist means exactly that they can be explicitly calculated. For example, at the very beginning, the real numbers are shown to exist because they are constructed from the rationals using interval arithmetic. This approach, with its clear analogy to scientific measurement with tolerances, is taken throughout the book and makes the subject especially relevant and appealing to students with an interest in computing, applied mathematics, the sciences, and engineering.
The first part of the book contains all the usual material in a standard one-semester course in analysis of functions of a single real variable: continuity (uniform, not pointwise), derivatives, integrals, and convergence. The second part contains enough more technical material--including an introduction to complex variables and Fourier series--to fill out a full-year course. Throughout the book the emphasis on rigorous and direct proofs is supported by an abundance of examples, exercises, and projects--many with hints--at the end of every section. The exposition is informal but exceptionally clear and well motivated throughout.
Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.
À propos de l?auteur
Mark Bridger, Northeastern University, Boston, MA.
Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.
Résultats de recherche pour Real Analysis: A Constructive Approach Through Interval...
Image d'archives
Real Analysis
Edité par
MP-AMM American Mathematical, 2019
ISBN 10 : 1470451441
ISBN 13 : 9781470451448
Neuf
Couverture rigide
Vendeur : PBShop.store UK, Fairford, GLOS, Royaume-Uni
Évaluation du vendeur 5 sur 5 étoiles
HRD. Etat : New. New Book. Shipped from UK. Established seller since 2000. N° de réf. du vendeur FW-9781470451448
Acheter neuf
EUR 99,51
Frais de port :
EUR 6,72
De Royaume-Uni vers Etats-Unis
Quantité disponible : 3 disponible(s)
Image d'archives
Real Analysis (Hardcover)
Edité par
American Mathematical Society, Providence, 2019
ISBN 10 : 1470451441
ISBN 13 : 9781470451448
Neuf
Couverture rigide
Vendeur : Grand Eagle Retail, Bensenville, IL, Etats-Unis
Évaluation du vendeur 5 sur 5 étoiles
Hardcover. Etat : new. Hardcover. Real Analysis: A Constructive Approach Through Interval Arithmetic presents a careful treatment of calculus and its theoretical underpinnings from the constructivist point of view. This leads to an important and unique feature of this book: All existence proofs are direct, so showing that the numbers or functions in question exist means exactly that they can be explicitly calculated. For example, at the very beginning, the real numbers are shown to exist because they are constructed from the rationals using interval arithmetic. This approach, with its clear analogy to scientific measurement with tolerances, is taken throughout the book and makes the subject especially relevant and appealing to students with an interest in computing, applied mathematics, the sciences, and engineering.The first part of the book contains all the usual material in a standard one-semester course in analysis of functions of a single real variable: continuity (uniform, not pointwise), derivatives, integrals, and convergence. The second part contains enough more technical material--including an introduction to complex variables and Fourier series--to fill out a full-year course. Throughout the book the emphasis on rigorous and direct proofs is supported by an abundance of examples, exercises, and projects--many with hints--at the end of every section. The exposition is informal but exceptionally clear and well motivated throughout. Presents a careful treatment of calculus and its theoretical underpinnings from the constructivist point of view. This leads to an important and unique feature of this book: all existence proofs are direct, so showing that the numbers or functions in question exist means exactly that they can be explicitly calculated. Shipping may be from multiple locations in the US or from the UK, depending on stock availability. N° de réf. du vendeur 9781470451448
Acheter neuf
EUR 109,61
Frais de port :
Gratuit
Vers Etats-Unis
Quantité disponible : 1 disponible(s)
Image d'archives
Real Analysis: A Constructive Approach Through Interval Arithmetic
Edité par
American Mathematical Society, 2019
ISBN 10 : 1470451441
ISBN 13 : 9781470451448
Neuf
Couverture rigide
Vendeur : THE SAINT BOOKSTORE, Southport, Royaume-Uni
Évaluation du vendeur 5 sur 5 étoiles
Hardback. Etat : New. New copy - Usually dispatched within 4 working days. 753. N° de réf. du vendeur B9781470451448
Acheter neuf
EUR 111,47
Frais de port :
EUR 20,92
De Royaume-Uni vers Etats-Unis
Quantité disponible : 3 disponible(s)
Image fournie par le vendeur
Real Analysis
Edité par
American Mathematical Society, 2019
ISBN 10 : 1470451441
ISBN 13 : 9781470451448
Neuf
Couverture rigide
Vendeur : moluna, Greven, Allemagne
Évaluation du vendeur 4 sur 5 étoiles
Etat : New. Presents a careful treatment of calculus and its theoretical underpinnings from the constructivist point of view. This leads to an important and unique feature of this book: all existence proofs are direct, so showing that the numbers or functions in questi. N° de réf. du vendeur 595975373
Acheter neuf
EUR 94,34
Frais de port :
EUR 48,99
De Allemagne vers Etats-Unis
Quantité disponible : 3 disponible(s)
Image d'archives
Real Analysis (Hardcover)
Edité par
American Mathematical Society, Providence, 2019
ISBN 10 : 1470451441
ISBN 13 : 9781470451448
Neuf
Couverture rigide
Vendeur : AussieBookSeller, Truganina, VIC, Australie
Évaluation du vendeur 5 sur 5 étoiles
Hardcover. Etat : new. Hardcover. Real Analysis: A Constructive Approach Through Interval Arithmetic presents a careful treatment of calculus and its theoretical underpinnings from the constructivist point of view. This leads to an important and unique feature of this book: All existence proofs are direct, so showing that the numbers or functions in question exist means exactly that they can be explicitly calculated. For example, at the very beginning, the real numbers are shown to exist because they are constructed from the rationals using interval arithmetic. This approach, with its clear analogy to scientific measurement with tolerances, is taken throughout the book and makes the subject especially relevant and appealing to students with an interest in computing, applied mathematics, the sciences, and engineering.The first part of the book contains all the usual material in a standard one-semester course in analysis of functions of a single real variable: continuity (uniform, not pointwise), derivatives, integrals, and convergence. The second part contains enough more technical material--including an introduction to complex variables and Fourier series--to fill out a full-year course. Throughout the book the emphasis on rigorous and direct proofs is supported by an abundance of examples, exercises, and projects--many with hints--at the end of every section. The exposition is informal but exceptionally clear and well motivated throughout. Presents a careful treatment of calculus and its theoretical underpinnings from the constructivist point of view. This leads to an important and unique feature of this book: all existence proofs are direct, so showing that the numbers or functions in question exist means exactly that they can be explicitly calculated. Shipping may be from our Sydney, NSW warehouse or from our UK or US warehouse, depending on stock availability. N° de réf. du vendeur 9781470451448
Acheter neuf
EUR 147,35
Frais de port :
EUR 31,78
De Australie vers Etats-Unis
Quantité disponible : 1 disponible(s)