The post A Beginner’s Guide to Graph Theory appeared first on Book Toankho.

]]>Key features:

* Introductory chapters present the main ideas and topics in graph theory—walks, paths and cycles, radius, diameter, eccentricity, cuts and connectivity, trees

* Subsequent chapters examine specialized topics and applications

* Numerous examples and illustrations

* Comprehensive index and bibliography, with suggested literature for more advanced material

New to the second edition:

* New chapters on labeling and communications networks and small-worlds

* Expanded beginner’s material in the early chapters, including more examples, exercises, hints and solutions to key problems

* Many additional changes, improvements, and corrections throughout resulting from classroom use and feedback

Striking a balance between a theoretical and practical approach with a distinctly applied flavor, this gentle introduction to graph theory consists of carefully chosen topics to develop graph-theoretic reasoning for a mixed audience. Familiarity with the basic concepts of set theory, along with some background in matrices and algebra, and a little mathematical maturity are the only prerequisites.

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]]>* Traces the origins of Game Theory and its philosophical premises

* Looks at its implications for the theory of bargaining and social contract theory

* Gives a detailed exposition of all of the major `games’ including the famous `prisoner’s dilemma’

* Analyses cooperative, non cooperative, repeated, evolutionary and experimental games

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]]>The post Elementary Theory of Numbers appeared first on Book Toankho.

]]>The variety of topics covered here includes divisibility, diophantine equations, prime numbers (especially Mersenne and Fermat primes), the basic arithmetic functions, congruences, the quadratic reciprocity law, expansion of real numbers into decimal fractions, decomposition of integers into sums of powers, some other problems of the additive theory of numbers and the theory of Gaussian integers.

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]]>The post Fibonacci and Lucas Numbers with Applications appeared first on Book Toankho.

]]>The author has assembled a myriad of fascinating properties of bothFibonacci and Lucas numbers-as developed by a wide range ofsources-and catalogued their applications in a multitude of widelyvaried disciplines such as art, stock market investing,engineering, and neurophysiology. Most of the engaging anddelightful material here is easily accessible to college and evenhigh school students, though advanced material is included tochallenge more sophisticated Fibonacci enthusiasts. A historicalsurvey of the development of Fibonacci and Lucas numbers,biographical sketches of intriguing personalities involved indeveloping the subject, and illustrative examples round out thisthorough and amusing survey. Most chapters conclude with numericand theoretical exercises that do not rely on long and tediousproofs of theorems. Highlights include:

* Balanced blend of theory and real-world applications

* Excellent reference material for student reports andprojects

* User-friendly, informal, and entertaining writing style

* Historical interjections and short biographies that add a richerperspective to the topic

* Reference sections providing important symbols, problemsolutions, and fundamental properties from the theory of numbersand matrices

Fibonacci and Lucas Numbers with Applications providesmathematicians with a wealth of reference material in oneconvenient volume and presents an in-depth and entertainingresource for enthusiasts at every level and from any background.

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]]>The post Learning Mathematics for Life (A View Perspective from PISA) appeared first on Book Toankho.

]]>This analysis has been carried out in an effort to link PISA results to curricular programmes and structures in participating countries and economies. Results from the student assessment reflect differences in country performance in terms of the test questions. These findings are important for curriculum planners, policy makers and in particular teachers – especially mathematics teachers of intermediate and lower secondary school classes.

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]]>The post Number Theory (An Introduction to Mathematics, Part A) appeared first on Book Toankho.

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