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Cover: 9780521684248 | First Course Mathematical Analysis | David Alexander Brannan | Buch
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First Course Mathematical Analysis
Taschenbuch von David Alexander Brannan
Sprache: Englisch

79,65 €*

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Beschreibung
Mathematical Analysis (often called Advanced Calculus) is generally found by students to be one of their hardest courses in Mathematics. This text uses the so-called sequential approach to continuity, differentiability and integration to make it easier to understand the subject.Topics that are generally glossed over in the standard Calculus courses are given careful study here. For example, what exactly is a 'continuous' function? And how exactly can one give a careful definition of 'integral'? The latter question is often one of the mysterious points in a Calculus course - and it is quite difficult to give a rigorous treatment of integration! The text has a large number of diagrams and helpful margin notes; and uses many graded examples and exercises, often with complete solutions, to guide students through the tricky points. It is suitable for self-study or use in parallel with a standard University course on the subject.
Mathematical Analysis (often called Advanced Calculus) is generally found by students to be one of their hardest courses in Mathematics. This text uses the so-called sequential approach to continuity, differentiability and integration to make it easier to understand the subject.Topics that are generally glossed over in the standard Calculus courses are given careful study here. For example, what exactly is a 'continuous' function? And how exactly can one give a careful definition of 'integral'? The latter question is often one of the mysterious points in a Calculus course - and it is quite difficult to give a rigorous treatment of integration! The text has a large number of diagrams and helpful margin notes; and uses many graded examples and exercises, often with complete solutions, to guide students through the tricky points. It is suitable for self-study or use in parallel with a standard University course on the subject.
Über den Autor
David Brannan is Professor, Dean and Director of Studies of the Maths & Computing Faculty at the Open University
Inhaltsverzeichnis
Preface; Introduction: calculus and analysis; 1. Numbers; 2. Sequences; 3. Series; 4. Continuity; 5. Limits and continuity; 6. Differentiation; 7. Integration; 8. Power series; Appendix 1. Sets, functions and proofs; Appendix 2. Standard derivatives and primitives; Appendix 3. The first 1,000 decimal places of the square root of 2, e and pi; Appendix 4. Solutions to the problems; Index.
Details
Erscheinungsjahr: 2018
Fachbereich: Analysis
Genre: Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
Seiten: 472
ISBN-13: 9780521684248
ISBN-10: 0521684242
Sprache: Englisch
Ausstattung / Beilage: Paperback
Einband: Kartoniert / Broschiert
Autor: Brannan, David Alexander
Hersteller: Cambridge University Press
Maße: 254 x 203 x 26 mm
Von/Mit: David Alexander Brannan
Erscheinungsdatum: 21.12.2018
Gewicht: 1,004 kg
preigu-id: 102216857
Über den Autor
David Brannan is Professor, Dean and Director of Studies of the Maths & Computing Faculty at the Open University
Inhaltsverzeichnis
Preface; Introduction: calculus and analysis; 1. Numbers; 2. Sequences; 3. Series; 4. Continuity; 5. Limits and continuity; 6. Differentiation; 7. Integration; 8. Power series; Appendix 1. Sets, functions and proofs; Appendix 2. Standard derivatives and primitives; Appendix 3. The first 1,000 decimal places of the square root of 2, e and pi; Appendix 4. Solutions to the problems; Index.
Details
Erscheinungsjahr: 2018
Fachbereich: Analysis
Genre: Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
Seiten: 472
ISBN-13: 9780521684248
ISBN-10: 0521684242
Sprache: Englisch
Ausstattung / Beilage: Paperback
Einband: Kartoniert / Broschiert
Autor: Brannan, David Alexander
Hersteller: Cambridge University Press
Maße: 254 x 203 x 26 mm
Von/Mit: David Alexander Brannan
Erscheinungsdatum: 21.12.2018
Gewicht: 1,004 kg
preigu-id: 102216857
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