Until he retired, Peter Smith taught logic at the University of Cambridge
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Hardback or Cased Book. Etat : New. Introducing Category Theory. Book. N° de réf. du vendeur BBS-9781068346712
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Hardcover. Etat : new. Hardcover. Modern pure mathematics explores abstract structures. Such structures cluster in interrelated families which form structures of structures. And these higher level structures are in turn interconnected in intricate ways. How can we explore such layers of increasing abstraction without getting lost? Category theory provides a basic toolkit, and it throws very revealing light on ideas which recur across mathematics.This book - now in a third edition - is a based on a much-downloaded and frequently praised set of notes, and aims to give an introduction to some core categorial concepts. Part I looks inside categories, giving general treatments of familiar constructions such as forming products, quotients, exponentials, and more. Part II explores the functors that can map a construction in one category to the same sort of construction in another category, and we eventually encounter some distinctive novelties of category theory, such as the Yoneda Lemma and the concept of adjunctions. Part III looks more briefly at one kind of category, the elementary toposes in which we can reconstruct much mathematics.The pace is gentle, with many theorems set as 'challenges' which are then given worked out proofs. So the book will provide very accessible preliminary or parallel reading for those starting a course on category theory. It will also be of interest to anyone who wants to get some sense of what the categorial fuss is about, as the book presupposes relatively little mathematical background. This book - now in a third edition - is a based on a much-downloaded and frequently praised set of notes, and aims to give a particularly accessible introduction to core category theory. This item is printed on demand. Shipping may be from multiple locations in the US or from the UK, depending on stock availability. N° de réf. du vendeur 9781068346712
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Hardcover. Etat : new. Hardcover. Modern pure mathematics explores abstract structures. Such structures cluster in interrelated families which form structures of structures. And these higher level structures are in turn interconnected in intricate ways. How can we explore such layers of increasing abstraction without getting lost? Category theory provides a basic toolkit, and it throws very revealing light on ideas which recur across mathematics.This book - now in a third edition - is a based on a much-downloaded and frequently praised set of notes, and aims to give an introduction to some core categorial concepts. Part I looks inside categories, giving general treatments of familiar constructions such as forming products, quotients, exponentials, and more. Part II explores the functors that can map a construction in one category to the same sort of construction in another category, and we eventually encounter some distinctive novelties of category theory, such as the Yoneda Lemma and the concept of adjunctions. Part III looks more briefly at one kind of category, the elementary toposes in which we can reconstruct much mathematics.The pace is gentle, with many theorems set as 'challenges' which are then given worked out proofs. So the book will provide very accessible preliminary or parallel reading for those starting a course on category theory. It will also be of interest to anyone who wants to get some sense of what the categorial fuss is about, as the book presupposes relatively little mathematical background. This book - now in a third edition - is a based on a much-downloaded and frequently praised set of notes, and aims to give a particularly accessible introduction to core category theory. This item is printed on demand. Shipping may be from our UK warehouse or from our Australian or US warehouses, depending on stock availability. N° de réf. du vendeur 9781068346712
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Hardcover. Etat : new. Hardcover. Modern pure mathematics explores abstract structures. Such structures cluster in interrelated families which form structures of structures. And these higher level structures are in turn interconnected in intricate ways. How can we explore such layers of increasing abstraction without getting lost? Category theory provides a basic toolkit, and it throws very revealing light on ideas which recur across mathematics.This book - now in a third edition - is a based on a much-downloaded and frequently praised set of notes, and aims to give an introduction to some core categorial concepts. Part I looks inside categories, giving general treatments of familiar constructions such as forming products, quotients, exponentials, and more. Part II explores the functors that can map a construction in one category to the same sort of construction in another category, and we eventually encounter some distinctive novelties of category theory, such as the Yoneda Lemma and the concept of adjunctions. Part III looks more briefly at one kind of category, the elementary toposes in which we can reconstruct much mathematics.The pace is gentle, with many theorems set as 'challenges' which are then given worked out proofs. So the book will provide very accessible preliminary or parallel reading for those starting a course on category theory. It will also be of interest to anyone who wants to get some sense of what the categorial fuss is about, as the book presupposes relatively little mathematical background. This book - now in a third edition - is a based on a much-downloaded and frequently praised set of notes, and aims to give a particularly accessible introduction to core category theory. This item is printed on demand. Shipping may be from our Sydney, NSW warehouse or from our UK or US warehouse, depending on stock availability. N° de réf. du vendeur 9781068346712
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Buch. Etat : Neu. nach der Bestellung gedruckt Neuware - Printed after ordering - Modern pure mathematics explores abstract structures. Such structures cluster in interrelated families which form structures of structures. And these higher level structures are in turn interconnected in intricate ways. How can we explore such layers of increasing abstraction without getting lost Category theory provides a basic toolkit, and it throws very revealing light on ideas which recur across mathematics.This book - now in a third edition - is a based on a much-downloaded and frequently praised set of notes, and aims to give an introduction to some core categorial concepts. Part I looks inside categories, giving general treatments of familiar constructions such as forming products, quotients, exponentials, and more. Part II explores the functors that can map a construction in one category to the same sort of construction in another category, and we eventually encounter some distinctive novelties of category theory, such as the Yoneda Lemma and the concept of adjunctions. Part III looks more briefly at one kind of category, the elementary toposes in which we can reconstruct much mathematics.The pace is gentle, with many theorems set as 'challenges' which are then given worked out proofs. So the book will provide very accessible preliminary or parallel reading for those starting a course on category theory. It will also be of interest to anyone who wants to get some sense of what the categorial fuss is about, as the book presupposes relatively little mathematical background. N° de réf. du vendeur 9781068346712
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