Discrete Mathematics Using a Computer

2000
Discrete Mathematics Using a Computer

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  • Author: Cordelia Hall
  • Publisher: Springer Science & Business Media
  • ISBN: 1852330899
  • Category : Computer science
  • Languages : en
  • Pages : 362

This volume offers a new, hands-on approach to teaching Discrete Mathematics. A simple functional language is used to allow students to experiment with mathematical notations which are traditionally difficult to pick up. This practical approach provides students with instant feedback and also allows lecturers to monitor progress easily. All the material needed to use the book will be available via ftp (the software is freely available and runs on Mac, PC and Unix platforms), including a special module which implements the concepts to be learned.No prior knowledge of Functional Programming is required: apart from List Comprehension (which is comprehensively covered in the text) everything the students need is either provided for them or can be picked up easily as they go along. An Instructors Guide will also be available on the WWW to help lecturers adapt existing courses.

Resources for Teaching Discrete Mathematics

2009
Resources for Teaching Discrete Mathematics

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  • Author: Brian Hopkins
  • Publisher: MAA
  • ISBN: 9780883851845
  • Category : Computers
  • Languages : en
  • Pages : 342

Hopkins collects the work of 35 instructors who share their innovations and insights about teaching discrete mathematics at the high school and college level. The book's 9 classroom-tested projects, including building a geodesic dome, come with student handouts, solutions, and notes for the instructor. The 11 history modules presented draw on original sources, such as Pascal's "Treatise on the Arithmetical Triangle," allowing students to explore topics in their original contexts. Three articles address extensions of standard discrete mathematics content. Two other articles explore pedagogy specifically related to discrete mathematics courses: adapting a group discovery method to larger classes, and using logic in encouraging students to construct proofs.

Computational Discrete Mathematics

2003-12-08
Computational Discrete Mathematics

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  • Author: Sriram Pemmaraju
  • Publisher: Cambridge University Press
  • ISBN: 9780521806862
  • Category : Computers
  • Languages : en
  • Pages : 508

This definitive reference on Combinatorica contains examples of all 450 functions plus tutorial text.

Applications of Discrete Mathematics

1988-01-01
Applications of Discrete Mathematics

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  • Author: Richard D. Ringeisen
  • Publisher: SIAM
  • ISBN: 9780898712193
  • Category : Mathematics
  • Languages : en
  • Pages : 250

Applied Discrete Structures

1997
Applied Discrete Structures

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  • Author: K. D. Joshi
  • Publisher: New Age International
  • ISBN: 9788122408263
  • Category : Computer science
  • Languages : en
  • Pages : 966

Although This Book Is Intended As A Sequel To Foundations Of Discrete Mathematics By The Same Author, It Can Be Read Independently Of The Latter, As The Relevant Background Needed Has Been Reviewed In Chapter 1. The Subsequent Chapters Deal With Graph Theory (With Applications), Analysis Of Algorithms (With A Detailed Study Of A Few Sorting Algorithms And A Discussion Of Tractability), Linear Programming (With Applications, Variations, Karmarkars Polynomial Time Algorithm, Integer And Quadratic Programming), Applications Of Algebra (To Polyas Theory Of Counting, Galois Theory, Coding Theory Of Designs). A Chapter On Matroids Familiarises The Reader With This Relatively New Branch Of Discrete Mathematics.Even Though Some Of The Topics Are Relatively Advanced, An Attempt Has Been Made To Keep The Style Elementary, So That A Sincere Student Can Read The Book On His Own. A Large Number Of Comments, Exercises, And References Is Included To Broaden The Readers Scope Of Vision. A Detailed Index Is Provided For Easy Reference.

Discrete Mathematics with Ducks

2012-06-21
Discrete Mathematics with Ducks

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  • Author: sarah-marie belcastro
  • Publisher: CRC Press
  • ISBN: 1466505001
  • Category : Computers
  • Languages : en
  • Pages : 582

Containing exercises and materials that engage students at all levels, Discrete Mathematics with Ducks presents a gentle introduction for students who find the proofs and abstractions of mathematics challenging. This classroom-tested text uses discrete mathematics as the context for introducing proofwriting. Facilitating effective and active learni

A Text Book Of Discrete Mathematics

2023-10-10
A Text Book Of Discrete Mathematics

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  • Author: Dr. Shavej Ali Siddiqui
  • Publisher: Academic Guru Publishing House
  • ISBN: 8119832205
  • Category : Study Aids
  • Languages : en
  • Pages : 224

Data structures are methods of arranging and storing data in computers, and they are designed and analysed using discrete mathematics. An essential component of computer science, the data structures are introduced in this book and are used to store & manipulate data efficiently and effectively. Data structures are designed, and analysed, and the complexity of algorithms that work with them is studied using discrete mathematics. Discrete mathematics finds relevance not just in the study of algorithms and data structures but also in the research of automata and formal languages. An automaton is a machine that may exist in one of the limited number of states and is capable of switching between states in accordance with a set of rules. The formal language is a collection of strings, or sequences of symbols, formed by a set of rules. Discrete mathematics is a fundamental subject in computer science & information technology, where it is used to explore automata & formal languages. Computers and other electrical devices are constructed using digital circuits, which are designed and analysed using discrete mathematics. Logic gates, which carry out logical operations like “AND, OR, and NOT”, are used in the construction of digital circuits. Discrete mathematics is the key component of computer engineering theory and is utilised in the design and analysis of digital circuits.

Discrete Mathematics Using Latin Squares

1998-09-17
Discrete Mathematics Using Latin Squares

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  • Author: Charles F. Laywine
  • Publisher: John Wiley & Sons
  • ISBN: 9780471240648
  • Category : Mathematics
  • Languages : en
  • Pages : 336

Over the past two decades, research in the theory of Latin Squares has been growing at a fast pace, and new significant developments have taken place. This book offers a unique approach to various areas of discrete mathematics through the use of Latin Squares.

Theories of Mathematics Education

2009-10-13
Theories of Mathematics Education

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  • Author: Bharath Sriraman
  • Publisher: Springer Science & Business Media
  • ISBN: 3642007422
  • Category : Education
  • Languages : en
  • Pages : 668

Advances in Mathematics Education is a new and innovative book series published by Springer that builds on the success and the rich history of ZDM—The Inter- tional Journal on Mathematics Education (formerly known as Zentralblatt für - daktik der Mathematik). One characteristic of ZDM since its inception in 1969 has been the publication of themed issues that aim to bring the state-of-the-art on c- tral sub-domains within mathematics education. The published issues include a rich variety of topics and contributions that continue to be of relevance today. The newly established monograph series aims to integrate, synthesize and extend papers from previously published themed issues of importance today, by orienting these issues towards the future state of the art. The main idea is to move the ?eld forward with a book series that looks to the future by building on the past by carefully choosing viable ideas that can fruitfully mutate and inspire the next generations. Taking ins- ration from Henri Poincaré (1854–1912), who said “To create consists precisely in not making useless combinations and in making those which are useful and which are only a small minority.

Encyclopedia of Mathematics Education

2001-03-15
Encyclopedia of Mathematics Education

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  • Author: Louise Grinstein
  • Publisher: Routledge
  • ISBN: 1136787224
  • Category : Education
  • Languages : en
  • Pages : 911

This single-volume reference is designed for readers and researchers investigating national and international aspects of mathematics education at the elementary, secondary, and post-secondary levels. It contains more than 400 entries, arranged alphabetically by headings of greatest pertinence to mathematics education. The scope is comprehensive, encompassing all major areas of mathematics education, including assessment, content and instructional procedures, curriculum, enrichment, international comparisons, and psychology of learning and instruction.