Sebanyak 708 item atau buku ditemukan

Discrete Mathematics

The long-awaited second edition of Norman Bigg's best-selling Discrete Mathematics includes new chapters on statements and proof, logical framework, natural numbers and the integers, in addition to updated chapters from the previous edition. Carefully structured, coherent and comprehensive, each chapter contains tailored exercises and solutions to selected questions and miscellaneous exercises are presented throughout. This is an invaluable text for students seeking a clear introduction to discrete mathematics, graph theory, combinatorics, number theory and abstract algebra.Key Features:* Contains nine new introductory chapters, in addition to updated chapters from the previous edition* Contains over 1000 individual exercises and selected solutions* Companion website www.oup.com/mathematics/discretemath contains hints and solutions to all exercisesContents:The Language of Mathematics1. Statements and proofs2. Set notation3. The logical framework4. Natural numbers5. Functions6. How to count 7. Integers8. Divisibility and prime numbers9. Fractions and real numbersTechniques10. Principles of counting11. Subsets and designs12. Partition, classification and distribution13. Modular arithmeticAlgorithms and Graphs14. Algorithms and their efficiency15. Graphs16. Trees, sorting and searching17. Bipartite graphs and matching problems18. Digraphs, networks and flows19. Recursive techniquesAlgebraic Methods20. Groups21. Groups of permutations22. Rings, fields and polynomials23. Finite fields and some applications24. Error-correcting codes25. Generating functions26. Partitions of a positive integer27. Symmetry and counting

The text is designed explicitly for mathematicians and computer scientists seeking a first approach to this important topic.

Invitation to Discrete Mathematics

Invitation to Discrete Mathematics is an introduction and a thoroughly comprehensive text at the same time. A lively and entertaining style with mathematical precision and maturity uniquely combine into an intellectual happening and should delight the interested reader. A master example of teaching contemporary discrete mathematics, and of teaching science in general.

A clear and self-contained introduction to discrete mathematics for undergraduates and early graduates.

Combinatorial Methods in Discrete Mathematics

A 1996 account of some complex problems of discrete mathematics in a simple and unified form.

A 1996 account of some complex problems of discrete mathematics in a simple and unified form.

Computational Discrete Mathematics

Combinatorics and Graph Theory with Mathematica ®

This book was first published in 2003. Combinatorica, an extension to the popular computer algebra system Mathematica®, is the most comprehensive software available for teaching and research applications of discrete mathematics, particularly combinatorics and graph theory. This book is the definitive reference/user's guide to Combinatorica, with examples of all 450 Combinatorica functions in action, along with the associated mathematical and algorithmic theory. The authors cover classical and advanced topics on the most important combinatorial objects: permutations, subsets, partitions, and Young tableaux, as well as all important areas of graph theory: graph construction operations, invariants, embeddings, and algorithmic graph theory. In addition to being a research tool, Combinatorica makes discrete mathematics accessible in new and exciting ways to a wide variety of people, by encouraging computational experimentation and visualization. The book contains no formal proofs, but enough discussion to understand and appreciate all the algorithms and theorems it contains.

This book was first published in 2003.

Discrete Groups and Geometry

This volume contains a selection of refereed papers presented in honour of A.M. Macbeath, one of the leading researchers in the area of discrete groups. The subject has been of much current interest of late as it involves the interaction of a number of diverse topics such as group theory, hyperbolic geometry, and complex analysis.

This volume contains a selection of refereed papers presented in honour of A.M. Macbeath, one of the leading researchers in the area of discrete groups.

Academic Approaches to Teaching Jewish Studies

In this follow-up book to Methodology in the Academic Teaching of Judaism, fourteen scholars and master teachers explore the challenges of teaching Jewish Studies at American schools of higher education both public and private. The essays provoke reflection upon the contents, goals, and methodology of instruction in Jewish Studies and candidly discuss what can and cannot be accomplished in the contemporary teaching of Wissenschaft des Judentums at the college and university level. The seminal ideas presented in Academic Approaches to Teaching Jewish Studies represent the cutting edge of pedagogical issues in Jewish Studies.

In this follow-up book to Methodology in the Academic Teaching of Judaism, fourteen scholars and master teachers explore the challenges of teaching Jewish Studies at American schools of higher education both public and private.

Approaches to Learning and Teaching English as a Second Language

A subject-specific guide for international secondary teachers to supplement learning and provide resources for lesson planning. Approaches to learning and teaching English as a Second Language is the result of close collaboration between Cambridge University Press and Cambridge International Examinations. Considering the local and global contexts when planning and teaching an international syllabus, the title presents ideas in the context of ESL with practical examples that help put theory into context. Teachers can download online tools for lesson planning from our website. This book is ideal support for those studying professional development qualifications or international PGCEs.

Teachers can download online tools for lesson planning from our website. This book is ideal support for those studying professional development qualifications or international PGCEs.

An Investigation Into the Comparability of Two Tests of English as a Foreign Language

This book documents a major study comparing the Cambridge First Certificate in English (FCE) with the Test of English as a Foreign Language (TOEFL) to investigate similarities in test content, candidature and use. While both tests were designed to measure many of the same abilities, they represent radically different approaches to language test development, reflecting deeper differences between educational measurement traditions in the US and UK. The thorough investigation of the fundamental characteristics and operational utility of two of the most widely used English tests for foreign students makes this study a valuable contribution to language testing research. As such, it will be of considerable interest to language testing specialists and examination boards, as well as to academic researchers and graduate students in the field of language assessment more generally.

Lyle F. Bachman, Fred Davidson, Katherine Ryan. Angoff, W. H. and A. T. Sharon
. 1972. Patterns of test and item difficulty for foreign language groups on the Test
of English as a Foreign Language. Research Bulletin RB-72-2. Princeton:
Educational Testing Service. Ashton-Tate, Inc. 1985. Learning and Using dBase
111 Plus. Los Angeles: Ashton-Tate, Inc. Associated Examining Board. 1987.
Test in English for Educational Purposes (TEEP). Aldershot, Hampshire:
Associated ...

Language Testing in Practice

Designing and Developing Useful Language Tests

This book relates language testing practice to current views of communicative language teaching and testing. It builds on the theoretical background expounded in Bachman's Fundamental Considerations in Language Testing and examines the design, planning, and organization of tests. The book is divided into three sections which discuss 1) objectives and expectations, the context of language testing, and the abilities to be tested; 2) the process of test development, including blueprints, resources, operationalization, and scoring methods; and 3) ten examples which illustrate the principles discussed in Parts One and Two.

This book relates language testing practice to current views of communicative language teaching and testing.

Statistical Analyses for Language Assessment Workbook and CD ROM

This book enables practitioners to apply statistics effectively to the development and use of language assessments. This is a Workbook and CD ROM pack which will support the main text. Each chapter will offer activities to parallel the chapters in the book. The activities are intended to provide readers with opportunities to work with and apply the concepts and procedures presented, using datasets from language assessment research.

This book enables practitioners to apply statistics effectively to the development and use of language assessments. This is a Workbook and CD ROM pack which will support the main text.