The novel approach to rigorous analysis offered here is designed to enable students to grow in confidence and skill and thus overcome the traditional difficulties.
Le informazioni nella sezione "Riassunto" possono far riferimento a edizioni diverse di questo titolo.
The novel approach to rigorous analysis offered here is designed to enable students to grow in confidence and skill and thus overcome the traditional difficulties. Teachers in sixth forms will find that the beginning questions in every chapter provide ways of preparing those at school for university mathematics. Lecturers in universities will be challenged to rethink their conventions about the best way to introduce the central ideas of analysis to undergraduates.
Introduction; Part I. Numbers: 1. Counting numbers and mathematical induction; 2. Order, arithmetic with inequalities; 3. Sequences, a first bite at infinity; 4. Completeness, what the rational numbers lack; 5. Series, infinite sums; Part II. Functions: 6. Functions and continuity: neighbourhoods, limits of functions; 7. Continuity and completeness, functions on intervals; 8. Derivatives, tangents; 9. Differentiation and completeness: mean value theorems; 10. Integration: the fundamental theorems, Taylor's theorem; 11. Indices and circle functions; 12. Sequences of functions.
Le informazioni nella sezione "Su questo libro" possono far riferimento a edizioni diverse di questo titolo.
Da: HPB-Red, Dallas, TX, U.S.A.
paperback. Condizione: Good. Connecting readers with great books since 1972! Used textbooks may not include companion materials such as access codes, etc. May have some wear or writing/highlighting. We ship orders daily and Customer Service is our top priority! Codice articolo S_381774376
Quantità: 1 disponibili
Da: ThriftBooks-Dallas, Dallas, TX, U.S.A.
Paperback. Condizione: Fair. No Jacket. Readable copy. Pages may have considerable notes/highlighting. ~ ThriftBooks: Read More, Spend Less. Codice articolo G0521457734I5N00
Quantità: 1 disponibili
Da: WorldofBooks, Goring-By-Sea, WS, Regno Unito
Paperback. Condizione: Very Good. The transition from studying calculus in schools to studying mathematical analysis at university is notoriously difficult. In this book, Dr Burn follows a route that proved successful with A Pathway to Number Theory and Groups: A Path to Geometry. He invites the student reader to tackle each of the key concepts in turn, progressing from experience (using computers for graph drawing where appropriate) through a structured sequence of several hundred problems to concepts, definitions and proofs of classical real analysis. The sequence of problems, which all have solutions supplied, draws students into constructing definitions and theorems for themselves. This natural development is informed by historical insight and complemented by historical discussion. The sequence also takes into account recent research which has shown how intuitive ideas about numbers, limits, functions and infinity may be at odds with the standard definitions. The novel approach to rigorous analysis offered here is designed to enable students to grow in confidence and skill and thus overcome the traditional difficulties. Teachers in sixth forms will find that questions at the beginning of every chapter provide ways of preparing those at school for university mathematics. Lecturers in universities will be challenged to rethink their conventions about the best way to introduce the central ideas of analysis to undergraduates. The book has been read, but is in excellent condition. Pages are intact and not marred by notes or highlighting. The spine remains undamaged. Codice articolo GOR006319651
Quantità: 1 disponibili
Da: WeBuyBooks, Rossendale, LANCS, Regno Unito
Condizione: Good. Most items will be dispatched the same or the next working day. A copy that has been read but remains in clean condition. All of the pages are intact and the cover is intact and the spine may show signs of wear. The book may have minor markings which are not specifically mentioned. Codice articolo rev3420583884
Quantità: 1 disponibili
Da: Better World Books Ltd, Dunfermline, Regno Unito
Condizione: Good. Former library copy. Pages intact with minimal writing/highlighting. The binding may be loose and creased. Dust jackets/supplements are not included. Includes library markings. Stock photo provided. Product includes identifying sticker. Better World Books: Buy Books. Do Good. Codice articolo 16455418-6
Quantità: 1 disponibili
Da: Reuseabook, Gloucester, GLOS, Regno Unito
Paperback. Condizione: Used; Good. Dispatched, from the UK, within 48 hours of ordering. This book is in good condition but will show signs of previous ownership. Please expect some creasing to the spine and/or minor damage to the cover. Name in front of book. Codice articolo CHL10730258
Quantità: 1 disponibili
Da: Anybook.com, Lincoln, Regno Unito
Condizione: Poor. This is an ex-library book and may have the usual library/used-book markings inside.This book has soft covers. In poor condition, suitable as a reading copy. Please note the Image in this listing is a stock photo and may not match the covers of the actual item,600grams, ISBN:9780521457736. Codice articolo 9153252
Quantità: 1 disponibili
Da: Anybook.com, Lincoln, Regno Unito
Condizione: Poor. This is an ex-library book and may have the usual library/used-book markings inside.This book has soft covers. In poor condition, suitable as a reading copy. Please note the Image in this listing is a stock photo and may not match the covers of the actual item,600grams, ISBN:9780521457736. Codice articolo 9153254
Quantità: 1 disponibili
Da: Anybook.com, Lincoln, Regno Unito
Condizione: Poor. This is an ex-library book and may have the usual library/used-book markings inside.This book has soft covers. In poor condition, suitable as a reading copy. Please note the Image in this listing is a stock photo and may not match the covers of the actual item,600grams, ISBN:9780521457736. Codice articolo 9153251
Quantità: 1 disponibili
Da: Chequamegon Books, Washburn, WI, U.S.A.
Paperback. Condizione: Very Good+. First Paperback Edition. 327 pages; 6 x 9" Spine edges are lightly bumped; front cover corners are slightly creased. Otherwise text block is in fine condition. Codice articolo 120816
Quantità: 1 disponibili