Graph Theory and Its Applications to Problems of Society

Graph Theory and Its Applications to Problems of Society

Author: Fred S. Roberts

Publisher: SIAM

Published: 1978-01-01

Total Pages: 127

ISBN-13: 9781611970401

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Explores modern topics in graph theory and its applications to problems in transportation, genetics, pollution, perturbed ecosystems, urban services, and social inequalities. The author presents both traditional and relatively atypical graph-theoretical topics to best illustrate applications.


Conjugate Duality and Optimization

Conjugate Duality and Optimization

Author: R. Tyrrell Rockafellar

Publisher: SIAM

Published: 1974-01-01

Total Pages: 82

ISBN-13: 0898710138

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The theory of duality in problems of optimization is developed in a setting of finite and infinite dimensional spaces using convex analysis. Applications to convex and nonconvex problems. Expository account containing many new results. (Author).


Mathematics of Genetic Diversity

Mathematics of Genetic Diversity

Author: J. F. C. Kingman

Publisher: SIAM

Published: 1980-01-01

Total Pages: 78

ISBN-13: 0898711665

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This book draws together some mathematical ideas that are useful in population genetics, concentrating on a few aspects which are both biologically relevant and mathematically interesting.


Geometric Probability

Geometric Probability

Author: Herbert Solomon

Publisher: SIAM

Published: 1978-06-01

Total Pages: 180

ISBN-13: 0898710251

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Topics include: ways modern statistical procedures can yield estimates of pi more precisely than the original Buffon procedure traditionally used; the question of density and measure for random geometric elements that leave probability and expectation statements invariant under translation and rotation; and much more.


Topics in Finite Elasticity

Topics in Finite Elasticity

Author: Morton E. Gurtin

Publisher: SIAM

Published: 1981-09-01

Total Pages: 58

ISBN-13: 0898711681

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This monograph presents a derivation of the basic equations of the theory of finite elasticity.


Combinatorial Algorithms

Combinatorial Algorithms

Author: Herbert S. Wilf

Publisher: SIAM

Published: 1989-01-01

Total Pages: 49

ISBN-13: 0898712319

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Covers key recent advances in combinatorial algorithms.


Spline Models for Observational Data

Spline Models for Observational Data

Author: Grace Wahba

Publisher: SIAM

Published: 1990-09-01

Total Pages: 174

ISBN-13: 0898712440

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This book serves well as an introduction into the more theoretical aspects of the use of spline models. It develops a theory and practice for the estimation of functions from noisy data on functionals. The simplest example is the estimation of a smooth curve, given noisy observations on a finite number of its values. Convergence properties, data based smoothing parameter selection, confidence intervals, and numerical methods are established which are appropriate to a number of problems within this framework. Methods for including side conditions and other prior information in solving ill posed inverse problems are provided. Data which involves samples of random variables with Gaussian, Poisson, binomial, and other distributions are treated in a unified optimization context. Experimental design questions, i.e., which functionals should be observed, are studied in a general context. Extensions to distributed parameter system identification problems are made by considering implicitly defined functionals.


Some Limit Theorems in Statistics

Some Limit Theorems in Statistics

Author: R. R. Bahadur

Publisher: SIAM

Published: 1971-01-31

Total Pages: 48

ISBN-13: 0898711754

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A discussion of topics in the theory of large deviations and of aspects of estimation and testing in large samples.