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Conceptual Mathematics: A First Introduction to Categories
 
 
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Conceptual Mathematics: A First Introduction to Categories [Englisch] [Taschenbuch]

F. William Lawvere , Stephen Hoel Schanuel
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Produktinformation

  • Taschenbuch: 358 Seiten
  • Verlag: Cambridge University Press (9. Oktober 1997)
  • Sprache: Englisch
  • ISBN-10: 0521478170
  • ISBN-13: 978-0521478175
  • Größe und/oder Gewicht: 24,1 x 17 x 2,3 cm
  • Durchschnittliche Kundenbewertung: 5.0 von 5 Sternen  Alle Rezensionen anzeigen (2 Kundenrezensionen)
  • Amazon Bestseller-Rang: Nr. 217.828 in Englische Bücher (Siehe Top 100 in Englische Bücher)
  • Komplettes Inhaltsverzeichnis ansehen

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Produktbeschreibungen

Pressestimmen

'Conceptual Mathematics is the first book to serve both as a skeleton key to mathematics for the general reader or beginning student and as an introduction to categories for computer scientists, logicians, physicists, linguists, etc … The fundamental ideas are illuminated in an engaging way.' Zentralblatt für Didaktik der Mathematik

'This book is the first book to serve both as a skeleton key to mathematics for the general reader or beginning student and as an introduction to categories for computer scientists, logicians, physicists, linguists, etc … The fundamental ideas are illuminated in an engaging way.' L'Enseignment Mathématique

'… every mathematician should know the basic ideas and techniques explained in this book …' Monatshefte für Mathematik

Über das Produkt

Conceptual Mathematics is the first book to serve as a skeleton key to mathematics for the general reader and as an introduction to categories for computer scientists, logicians, physicists, linguists etc. This book does not presuppose knowledge of specific fields but rather develops elementary categories such as directed graphs and discrete dynamical systems from the beginning.

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In diesem Buch (Mehr dazu)
Einleitungssatz
Our goal in this book is to explore the consequences of a new and fundamental insight about the nature of mathematics which has led to better methods for understanding and using mathematical concepts. Lesen Sie die erste Seite
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Die hilfreichsten Kundenrezensionen
4 von 4 Kunden fanden die folgende Rezension hilfreich
Von Ein Kunde
Format:Taschenbuch
Lawvere and Schanuel have created a book at once accessible and stimulating at a great many levels. It discusses the concepts of Category Theory in a simulated "classroom" setting, addressing common questions of students at crucial points in the book. It also wanders in a care-free manner through an amazing number of topics. The book is interesting to non-mathematicians at a philosophical level, and to (beginning) mathematicians as an introduction to an exciting new area of mathematics. The authors have a great attitude, and offer great starting-points for investigation.

I read it as a first year pure math undergraduate, and though it was at times at too low a level (the 'tests,' for instance, are very easy reviews of basic ideas), it never became boring. For me, it read 'like a novel' (and a page-turner, at that). My only gripe is the lack of an annotated "further reading" section, which would have rounded out the book.

War diese Rezension für Sie hilfreich?
3 von 3 Kunden fanden die folgende Rezension hilfreich
Intuitive Introduction 6. Juni 2000
Von Ein Kunde
Format:Gebundene Ausgabe
Highly intuitive introduction to this abstract, but highly practical area of mathematics with one glaring fault. First the good news. I have never seen a more carefully explained introduction into an area of mathematics. Many examples and explanations of the principles behind and applications of concept analysis. However, the glaring fault is organization. Details are given without adequate tie in to how they relate to others. The text bounces from one area to the next so it is easy to lose sight of the whole picture. On balance its strengths far outweigh its weaknesses so I recommend it without reservation.
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Die hilfreichsten Kundenrezensionen auf Amazon.com (beta)
Amazon.com:  15 Rezensionen
59 von 60 Kunden fanden die folgende Rezension hilfreich
Interesting and Accessible at Many Levels 3. August 1998
Von Ein Kunde - Veröffentlicht auf Amazon.com
Format:Taschenbuch
Lawvere and Schanuel have created a book at once accessible and stimulating at a great many levels. It discusses the concepts of Category Theory in a simulated "classroom" setting, addressing common questions of students at crucial points in the book. It also wanders in a care-free manner through an amazing number of topics. The book is interesting to non-mathematicians at a philosophical level, and to (beginning) mathematicians as an introduction to an exciting new area of mathematics. The authors have a great attitude, and offer great starting-points for investigation.

I read it as a first year pure math undergraduate, and though it was at times at too low a level (the 'tests,' for instance, are very easy reviews of basic ideas), it never became boring. For me, it read 'like a novel' (and a page-turner, at that). My only gripe is the lack of an annotated "further reading" section, which would have rounded out the book.

25 von 25 Kunden fanden die folgende Rezension hilfreich
Great book; whether you should read it depends on you 30. November 2006
Von Christopher D. Smith - Veröffentlicht auf Amazon.com
Format:Taschenbuch
Many of the reviews evaluate the book from the perspective of graduate students in mathematics want to learn categories, and it's certainly the wrong choice for that purpose. If you think of this as a serious math textbook, then it fails in that goal: significant proofs are the exception rather than the rule; very few, and trivial, exercises; very lacking in depth.

This is a great book because it provides a motivation for investigating categories. It helped me when I was in the position of hearing from a lot of places that subjects I was interested in often used category theory. I tried to read a few "real" books about category theory, and didn't get very far because they did not make the connections I was looking for. I accumulated three or four such books, all with bookmarks at about page 50 to 75. This book taught me relatively little about the theory of categories or the body of knowledge about them, but it provided a wealth of connections between categories and other topics, which made me better able to finish a couple of the real books and figure out what I needed to know there.

My advice, if you're in anything like that situation, is to read this book. Just don't take it too seriously, and don't try to milk more out of it than is really there. Then go learn more about category theory from elsewhere.
27 von 28 Kunden fanden die folgende Rezension hilfreich
Intuitive Introduction 6. Juni 2000
Von Ein Kunde - Veröffentlicht auf Amazon.com
Format:Gebundene Ausgabe|Von Amazon bestätigter Kauf
Highly intuitive introduction to this abstract, but highly practical area of mathematics with one glaring fault. First the good news. I have never seen a more carefully explained introduction into an area of mathematics. Many examples and explanations of the principles behind and applications of concept analysis. However, the glaring fault is organization. Details are given without adequate tie in to how they relate to others. The text bounces from one area to the next so it is easy to lose sight of the whole picture. On balance its strengths far outweigh its weaknesses so I recommend it without reservation.
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