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A Beginner’s Guide to Discrete Mathematics
  • Language: en
  • Pages: 376

A Beginner’s Guide to Discrete Mathematics

This introduction to discrete mathematics is aimed at freshmen and sophomores in mathematics and computer science. It begins with a survey of number systems and elementary set theory before moving on to treat data structures, counting, probability, relations and functions, graph theory, matrices, number theory and cryptography. The end of each section contains problem sets with selected solutions, and good examples occur throughout the text.

Magic Graphs
  • Language: en
  • Pages: 155

Magic Graphs

Magic squares, their origins lost in antiquity, are among the more popular mathematical recreations. "Magic" ideas have also been applied to graphs, labellings, and trees. Unlike many elusive subjects in this area, the problem for vertex-magic total labelings has been solved, and the details are examined in this volume.

The Mathematics of Elections and Voting
  • Language: en
  • Pages: 103

The Mathematics of Elections and Voting

  • Type: Book
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  • Published: 2014-10-08
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  • Publisher: Springer

This title takes an in-depth look at the mathematics in the context of voting and electoral systems, with focus on simple ballots, complex elections, fairness, approval voting, ties, fair and unfair voting, and manipulation techniques. The exposition opens with a sketch of the mathematics behind the various methods used in conducting elections. The reader is lead to a comprehensive picture of the theoretical background of mathematics and elections through an analysis of Condorcet’s Principle and Arrow’s Theorem of conditions in electoral fairness. Further detailed discussion of various related topics include: methods of manipulating the outcome of an election, amendments, and voting on s...

Introduction to Combinatorial Designs
  • Language: en
  • Pages: 324

Introduction to Combinatorial Designs

  • Type: Book
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  • Published: 2016-04-19
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  • Publisher: CRC Press

Combinatorial theory is one of the fastest growing areas of modern mathematics. Focusing on a major part of this subject, Introduction to Combinatorial Designs, Second Edition provides a solid foundation in the classical areas of design theory as well as in more contemporary designs based on applications in a variety of fields. After an o

Combinatorial Designs
  • Language: en
  • Pages: 348

Combinatorial Designs

  • Type: Book
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  • Published: 1988-04-29
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  • Publisher: CRC Press

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Tantra Illuminated
  • Language: en

Tantra Illuminated

This book takes readers on a fascinating journey to the very heart of Tantra: its key teachings, foundational lineages, and transformative practices. Since the West's discovery of Tantra 100 years ago, there has been considerable fascination, speculation, and more than a little misinformation about this spiritual movement. Now, for the first time in the English language, Tantra Illuminated presents an accessible introduction to this sacred tradition that began 1,500 years ago, in the far north of India. The book uses translations from primary Sanskrit sources, offers a profound look at spiritual practice, and reveals Tantra's rich history and powerful teachings.

Combinatorial Designs and Applications
  • Language: en
  • Pages: 268

Combinatorial Designs and Applications

  • Type: Book
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  • Published: 2020-12-22
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  • Publisher: CRC Press

An advanced reference containing 21 selected or consolidated papers presented at an international conference in April 1988 at Tunxi (now Hunangshan), China. Contains recent, previously unavailable findings of Chinese mathematicians; discusses problems, results, and proving methods of combinatorial d

A Beginner's Guide to Graph Theory
  • Language: en
  • Pages: 266

A Beginner's Guide to Graph Theory

Concisely written, gentle introduction to graph theory suitable as a textbook or for self-study Graph-theoretic applications from diverse fields (computer science, engineering, chemistry, management science) 2nd ed. includes new chapters on labeling and communications networks and small worlds, as well as expanded beginner's material Many additional changes, improvements, and corrections resulting from classroom use

Mathematics in the Real World
  • Language: en
  • Pages: 274

Mathematics in the Real World

Mathematics in the Real World is a self-contained, accessible introduction to the world of mathematics for non-technical majors. With a focus on everyday applications and context, the topics in this textbook build in difficulty and are presented sequentially, starting with a brief review of sets and numbers followed by an introduction to elementary statistics, models, and graph theory. Data and identification numbers are then covered, providing the pathway to voting and finance. Each subject is covered in a concise and clear fashion through the use of real-world applications and the introduction of relevant terminology. Many sample problems – both writing exercises and multiple-choice questions – are included to help develop students’ level of understanding and to offer a variety of options to instructors. Covering six major units and outlining a one-semester course, Mathematics in the Real World is aimed at undergraduate liberal art students fulfilling the mathematics requirement in their degree program. This introductory text will be an excellent resource for such courses, and will show students where mathematics arises in their everyday lives.

Introduction to Combinatorics
  • Language: en
  • Pages: 398

Introduction to Combinatorics

  • Type: Book
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  • Published: 2011-06-30
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  • Publisher: CRC Press

Accessible to undergraduate students, Introduction to Combinatorics presents approaches for solving counting and structural questions. It looks at how many ways a selection or arrangement can be chosen with a specific set of properties and determines if a selection or arrangement of objects exists that has a particular set of properties. To give students a better idea of what the subject covers, the authors first discuss several examples of typical combinatorial problems. They also provide basic information on sets, proof techniques, enumeration, and graph theory—topics that appear frequently throughout the book. The next few chapters explore enumerative ideas, including the pigeonhole pri...