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Conceptual Mathematics: A First Introduction to Categories

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9780521719162: Conceptual Mathematics: A First Introduction to Categories
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In the last 60 years, the use of the notion of category has led to a remarkable unification and simplification of mathematics. Conceptual Mathematics, Second Edition, introduces the concept of 'category' for the learning, development, and use of mathematics, to both beginning students and general readers, and to practicing mathematical scientists. The treatment does not presuppose knowledge of specific fields, but rather develops, from basic definitions, such elementary categories as discrete dynamical systems and directed graphs; the fundamental ideas are then illuminated by examples in these categories.

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Conceptual Mathematics introduces the concept of category to beginning students, general readers, and practicing mathematical scientists based on a leisurely introduction to the important categories of directed graphs and discrete dynamical systems. The expanded second edition approaches more advanced topics via historical sketches and a concise introduction to adjoint functors.
About the Author:
F. William Lawvere is a Professor Emeritus of Mathematics at the State University of New York. He has previously held positions at Reed College, the University of Chicago and the City University of New York, as well as visiting Professorships at other institutions worldwide. At the 1970 International Congress of Mathematicians in Nice, Prof. Lawvere delivered an invited lecture in which he introduced an algebraic version of topos theory which united several previously 'unrelated' areas in geometry and in set theory; over a dozen books, several dozen international meetings, and hundreds of research papers have since appeared, continuing to develop the consequences of that unification.

Stephen H. Schanuel is a Professor of Mathematics at the State University of New York at Buffalo. He has previously held positions at Johns Hopkins University, Institute for Advanced Study and Cornell University, as well as lecturing at institutions in Denmark, Switzerland, Germany, Italy, Colombia, Canada, Ireland, and Australia. Best known for Schanuel's Lemma in homological algebra (and related work with Bass on the beginning of algebraic K-theory), and for Schanuel's Conjecture on algebraic independence and the exponential function, his research thus wanders from algebra to number theory to analysis to geometry and topology.

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9780521472494: Conceptual Mathematics: A First Introduction to Categories

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ISBN 10: 0521472490 ISBN 13: 9780521472494
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9780521894852: Conceptual Mathematics: A First Introduction to Categories

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9781616980894: Studyguide for Conceptual Mathematics: A First Introduction to Categories by Lawvere, F. William, ISBN 9780521719162 (Cram101 Textbook Outlines)

Cram101, 2010
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Book Description Paperback. Condition: New. 2nd Revised edition. Language: English. Brand new Book. In the last 60 years, the use of the notion of category has led to a remarkable unification and simplification of mathematics. Conceptual Mathematics introduces this tool for the learning, development, and use of mathematics, to beginning students and also to practising mathematical scientists. This book provides a skeleton key that makes explicit some concepts and procedures that are common to all branches of pure and applied mathematics. The treatment does not presuppose knowledge of specific fields, but rather develops, from basic definitions, such elementary categories as discrete dynamical systems and directed graphs; the fundamental ideas are then illuminated by examples in these categories. This second edition provides links with more advanced topics of possible study. In the new appendices and annotated bibliography the reader will find concise introductions to adjoint functors and geometrical structures, as well as sketches of relevant historical developments. Seller Inventory # AAZ9780521719162

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Book Description Paperback. Condition: new. Paperback. In the last 60 years, the use of the notion of category has led to a remarkable unification and simplification of mathematics. Conceptual Mathematics, Second Edition, introduces the concept of 'category' for the learning, development, and use of mathematics, to both beginning students and general readers, and to practicing mathematical scientists. The treatment does not presuppose knowledge of specific fields, but rather develops, from basic definitions, such elementary categories as discrete dynamical systems and directed graphs; the fundamental ideas are then illuminated by examples in these categories. Conceptual Mathematics introduces the concept of category to beginning students and practising mathematical scientists based on a leisurely introduction to the important categories of directed graphs and discrete dynamical systems. The expanded second edition approaches more advanced topics via historical sketches and a concise introduction to adjoint functors. Shipping may be from multiple locations in the US or from the UK, depending on stock availability. Seller Inventory # 9780521719162

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Book Description Condition: New. 2009. 2nd Edition. Paperback. This truly elementary book on categories introduces retracts, graphs, and adjoints to students and scientists. Num Pages: 403 pages, 575 b/w illus. 12 tables 213 exercises. BIC Classification: PBCD; PBF. Category: (P) Professional & Vocational; (U) Tertiary Education (US: College). Dimension: 170 x 243 x 23. Weight in Grams: 708. A First Introduction to Categories. 403 pages, 575 b/w illus. 12 tables 213 exercises. This truly elementary book on categories introduces retracts, graphs, and adjoints to students and scientists. Cateogry: (P) Professional & Vocational; (U) Tertiary Education (US: College). BIC Classification: PBCD; PBF. Dimension: 170 x 243 x 23. Weight: 768. . . . . . Seller Inventory # V9780521719162

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