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Applied Combinatorics
Now with solutions to selected problems, Applied Combinatorics, Second Edition presents the tools of combinatorics from an applied point of view. This bestselling textbook offers numerous references to the literature of combinatorics and its applications that enable readers to delve more deeply into the topics.After introducing fundamental counting
Workshop Calculus
Workshop Calculus: Guided Exploration with Review integrates a review of basic pre-calculus concepts with the study of concepts encountered in a traditional first semester calculus course - functions, limits, derivatives, integrals, and an introduction to integration techniques. This two-course sequence is designed for students who are not prepared to enter Calculus I, but who need to develop mathematical skills for further study in the social sciences, natural sciences, or mathematics. The primary goal of the course is to help students develop firm conceptual understandings of the fundamental ideas in calculus, thereby enabling them to use calculus in other disciplines. Essential elements of Workshop Calculus include the emphasis on applications to enhance student motivation and the use of computers amd graphing calculators to help explore mathematical ideas.
The Patterns of the Present
An original philosophical treatise on form and the foundations of social value.
Applications of Combinatorics and Graph Theory to the Biological and Social Sciences
This IMA Volume in Mathematics and its Applications Applications of Combinatorics and Graph Theory to the Biological and Social Sciences is based on the proceedings of a workshop which was an integral part of the 1987-88 IMA program on APPLIED COMBINATORICS. We are grateful to the Scientific Committee: Victor Klee (Chairman), Daniel Kleitman, Dijen Ray-Chaudhuri and Dennis Stanton for planning and implementing an exciting and stimulating year long program. We especially thank the Workshop Organizers, Joel Cohen and Fred Roberts, for organizing a workshop which brought together many of the major figures in a variety of research fields connected with the application of combinatorial ideas to t...
Workshop Calculus with Graphing Calculators
Based on the use of graphing calculators by students enrolled in calculus, there is enough material here to cover precalculus review, as well as first-year single variable calculus topics. Intended for use in workshop-centered calculus courses, and developed as part of the well-known NSF-sponsored project, the text is for use with students in a math laboratory, instead of a traditional lecture course. There are student-oriented activities, experiments and graphing calculator exercises throughout the text. The authors themselves are well-known teachers and constantly striving to improve undergraduate mathematics teaching.
How to Count
Emphasizes a Problem Solving Approach A first course in combinatorics Completely revised, How to Count: An Introduction to Combinatorics, Second Edition shows how to solve numerous classic and other interesting combinatorial problems. The authors take an easily accessible approach that introduces problems before leading into the theory involved. Although the authors present most of the topics through concrete problems, they also emphasize the importance of proofs in mathematics. New to the Second Edition This second edition incorporates 50 percent more material. It includes seven new chapters that cover occupancy problems, Stirling and Catalan numbers, graph theory, trees, Dirichlet’s pigeonhole principle, Ramsey theory, and rook polynomials. This edition also contains more than 450 exercises. Ideal for both classroom teaching and self-study, this text requires only a modest amount of mathematical background. In an engaging way, it covers many combinatorial tools, such as the inclusion-exclusion principle, generating functions, recurrence relations, and Pólya’s counting theorem.
Workshop Statistics
This first edition focuses on probability and the Bayesian viewpoint. It presents basic material on probability and then introduces inference by means of Bayes' rule. The emphasis is on statistical thinking and how one learns from data. The objective is to present the basic tenets of statistical inference. Unique in its format, the text allows students to discover statistical concepts, explore statistical principles, and apply statistical techniques. In addition to the numerous activities and exercises around which the text is built, the book includes a basic text exposition for each topic, and data appendices.
Workshop Statistics:
Shorn of all subtlety and led naked out of the protec tive fold of educational research literature, there comes a sheepish little fact: lectures don't work nearly as well as many of us would like to think. -George Cobb (1992) This book contains activities that guide students to discover statistical concepts, explore statistical principles, and apply statistical techniques. Students work toward these goals through the analysis of genuine data and through inter action with one another, with their instructor, and with technology. Providing a one-semester introduction to fundamental ideas of statistics for college and advanced high school students, Warkshop Statistics is designed for courses tha...
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