Coherent treatment provides comprehensive view of basic methods and results of the combinatorial study of finite set systems. The Clements-Lindstrom extension of the Kruskal-Katona theorem to multisets is explored, as is the Greene-Kleitman result concerning k-saturated chain partitions of general partially ordered sets. Connections with Dilworth's theorem, the marriage problem, and probability are also discussed. Each chapter ends with a helpful...

Recursive analysis develops natural number computations into a framework appropriate for real numbers. This text is based upon primary recursive arithmetic and presents a unique combination of classical analysis and intuitional analysis. Written by a master in the field, it is suitable for graduate students of mathematics and computer science and can be read without a detailed knowledge of recursive arithmetic. Introductory chapters on recursive convergence...

This concise text offers an introduction to discrete mathematics for undergraduate students in computer science and mathematics. Mathematics educators consider it vital that their students be exposed to a course in discrete methods that introduces them to combinatorial mathematics and to algebraic and logical structures focusing on the interplay between computer science and mathematics. The present volume emphasizes combinatorics, graph theory with...

Learn about the connection between math and basketball.

This intriguing title teaches readers the history of number systems. From Egyptian times to the modern day, this text covers the number systems of the Roman Empire, the Maya Empire, the Inca Empire, Babylon, and India. This full-color book teaches students about operations and algebraic reasoning, introducing them to new concepts and vocabulary terms like place value, rounded numbers, exact numbers, the binary system, and more. Primary sources like...

Join the lovable max, lily and goo as they use their monster math skills to help solve any obstacle they face! Mad for all things mathy, the monster math squad use their skills of counting, measuring, sizing, sorting and exploring to help other monsters in trouble and make new friends along the way.Oozing with heart and fun filled adventures, the series mission is to promote the love of numbers by showing young viewers that math is all around use...

Bridget "Biddy" Mason was an African-American midwife, nurse, real estate entrepreneur, philanthropist, and former slave who influenced the history of Los Angeles and California. Learn about her fascinating life with this primary source biography that builds students' reading skills and promotes social studies content knowledge. The dynamic primary source maps, letters, and images provide authentic nonfiction reading materials and keep students interested...

Clear and detailed in its exposition, this text can be understood by readers with no background in advanced mathematics; only a small part requires a working knowledge of calculus. One of the most valuable characteristics of this book is its stress on learning number theory by means of demonstrations and problems. More than 200 problems and full solutions appear in the text, plus 100 numerical exercises. Some of these exercises deal with estimation...

This captivating book explains some of the most fascinating ideas of mathematics to nonspecialists. It focuses on three main areas: non-Euclidean geometry, a basis for relativity theory; number theory, a major component of cryptography; and fractals, the key elements of computer-generated art. Numerous illustrations. 1993 edition.

Este libro tiene un doble propósito: por un lado, homogeneizar los conceptos algebraicos que tienen los estudiantes de enseñanza media al momento de ingresar a la universidad, y por otro, integrar en un solo volumen los principales temas del Álgebra Clásica: inducción, diferencias finitas, sumatorias, progresiones, teorema del binomio, combinatoria, números complejos y polinomios y ecuaciones, de modo que en conjunto permitan desarrollar un...