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OverviewThe new edition of this text includes additional chapters on statements and proof, logical framework, and natural numbers and the integers. The updated chapters offer over 1000 tailored exercises, and an accompanying website contains hints and solutions to all exercises. The text is designed explicitly for mathematicians and computer scientists seeking a first approach to this important topic. Full Product DetailsAuthor: Norman L. Biggs (, Professor of Mathematics, London School of Economics, University of London)Publisher: Oxford University Press Imprint: Oxford University Press Edition: 2nd Revised edition Dimensions: Width: 19.70cm , Height: 3.00cm , Length: 25.40cm Weight: 1.035kg ISBN: 9780198507185ISBN 10: 0198507186 Pages: 440 Publication Date: 19 December 2002 Audience: College/higher education , Tertiary & Higher Education Format: Hardback Publisher's Status: Active Availability: To order ![]() Stock availability from the supplier is unknown. We will order it for you and ship this item to you once it is received by us. Table of ContentsThe Language of Mathematics 1: Statements and proofs 2: Set notation 3: The logical framework 4: Natural numbers 5: Functions 6: How to count 7: Integers 8: Divisibility and prime numbers 9: Fractions and real numbers Techniques 10: Principles of counting 11: Subsets and designs 12: Partition, classification and distribution 13: Modular arithmetic Algorithms and Graphs 14: Algorithms and their efficiency 15: Graphs 16: Trees, sorting and searching 17: Bipartite graphs and matching problems 18: Digraphs, networks and flows 19: Recursive techniques Algebraic Methods 20: Groups 21: Groups of permutations 22: Rings, fields and polynomials 23: Finite fields and some applications 24: Error-correcting codes 25: Generating functions 26: Partitions of a positive integer 27: Symmetry and countingReviews`For the Second Edition: ... it is a wonderful book. Biggs' expository style is of the highest quality. ' Professor James Reid, University of Mississippi ` ... a well written book by a world-renowned expert. The explanations go to the heart of the matter and the proofs given are elegant. ' Professor Mohan Shrikhande, University of Michigan ` the material is well written in a clear and lucid style ' Dr Jim Renshaw, University of Southampton ` the new chapters are elegantly written ' Dr Peter Robinson, University of Cambridge `from recent reviews of the first edition: Biggs' book ... a timely and important addition to the literature ... stands out for its clarity of exposition, its careful organization, and for the way in which it reduces unnecessary abstraction to a minimum ... The range of topics covered is astonishing ... and ... it is written with humour and a lightness of touch which make it a pleasure to read. ' Times Higher Education Supplemement ` It seems to me that the book is as comprehensive as one could hope. I strongly recommend it ' Bulletin of the London Mathematical Society ` the comprehensive course of discrete mathematics ' L'Enseignement Mathematique, t.36, fasc.1-2, 1990 "`For the Second Edition: ""... it is a wonderful book. Biggs' expository style is of the highest quality."" ' Professor James Reid, University of Mississippi `""... a well written book by a world-renowned expert. The explanations go to the heart of the matter and the proofs given are elegant."" ' Professor Mohan Shrikhande, University of Michigan `"" the material is well written in a clear and lucid style"" ' Dr Jim Renshaw, University of Southampton `""the new chapters are elegantly written"" ' Dr Peter Robinson, University of Cambridge `from recent reviews of the first edition: ""Biggs' book ... a timely and important addition to the literature ... stands out for its clarity of exposition, its careful organization, and for the way in which it reduces unnecessary abstraction to a minimum ... The range of topics covered is astonishing ... and ... it is written with humour and a lightness of touch which make it a pleasure to read."" ' Times Higher Education Supplemement `""It seems to me that the book is as comprehensive as one could hope. I strongly recommend it"" ' Bulletin of the London Mathematical Society `""the comprehensive course of discrete mathematics"" ' L'Enseignement Mathematique, t.36, fasc.1-2, 1990" A well known definition says that a textbook is a book such that everybody thinks he can write a better one. Biggs' Discrete Mathematics is an exception - not only for its wide range of topics and its clear organization but notably for its excellent style of explanation. EMS Author InformationTab Content 6Author Website:Countries AvailableAll regions |