Principles of Mathematical Geology
Autor A.B. Visteliusen Limba Engleză Paperback – 13 noi 2012
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Specificații
ISBN-13: 9789401053037
ISBN-10: 9401053030
Pagini: 504
Ilustrații: XXI, 477 p.
Dimensiuni: 160 x 240 x 26 mm
Greutate: 0.7 kg
Ediția:Softcover reprint of the original 1st ed. 1992
Editura: SPRINGER NETHERLANDS
Colecția Springer
Locul publicării:Dordrecht, Netherlands
ISBN-10: 9401053030
Pagini: 504
Ilustrații: XXI, 477 p.
Dimensiuni: 160 x 240 x 26 mm
Greutate: 0.7 kg
Ediția:Softcover reprint of the original 1st ed. 1992
Editura: SPRINGER NETHERLANDS
Colecția Springer
Locul publicării:Dordrecht, Netherlands
Public țintă
ResearchCuprins
I. Mathematical Geology and the Development of Geological Sciences.- I.1 Introduction.- I.2 Development of geology and the change of paradigms.- I.3 Organization of the medium and typical structures.- I.4 Statement of the problem: the role of models in the search for solutions.- I.5 Mathematical geology and its development.- References.- II. Probability Space and Random Variables.- II. 1 Introduction.- II.2 Discrete space of elementary events.- II.3 Kolmogorov’s axiom; The Lebesgue integral.- II.4 Exanples of distributions of random variables.- II.5 Vector random variables.- II.6 Transformations of random variables.- II.7 Sequences of independent random variables and limit theorems.- II.8 Random processes and geometric probabilities.- References.- III. Basic Statistical Concepts — Problems of Estimation and Testing of Hypotheses.- III.1 Introductory remarks.- III.2 Point estimation.- III.3 Testing of statistical hypotheses.- III.4 On confidence intervals.- III.5 On robustness.- References.- IV. Randan Sequences and their Markov Chains.- IV. 1 Introduction.- IV.2 Probabilistic structures of Markov sequences.- IV.3 Matrix methods in the study of Markov chains.- IV. 4 Some generalizations of the Markov property.- IV. 5 Three-dimensional packing and Markov sequences.- References.- V. Transformations of Markov chains.- V. 1 Introduction.- V.2 Lumping over a set of states.- V.3 Concentration and rarefaction.- V.5 Sequences of packets.- References.- VI. Statistical Inferences on Properties of Randan Sequences and Markov Hypotheses.- VI. 1 Introduction.- VI. 2 Test of homogeneity.- VI.3 Test of reversibility.- VI.4 Likelihood ratio criterion ? for testing proportionality of transition probabilities.- VI.5 Markov hypotheses.- VI. 6 Partial Markov.- VI.7 Experimental checkof consistency of statistical tests on Markov order.- References.- VII. Randan Diffusion Processes.- VII. 1 Introduction.- VII.2 The general model.- VII.3 Particular models of diffusion.- References.- VIII. Coming Problems and Paradigm of Geological Sciences of the 21st Century.- VIII.1 Introduction.- VIII.2 Time and Compositional data.- VIII.3 Models.- References.- Authors Index.- Geographical Index.
Recenzii
` The most outstanding feature of this book is the clear, rigorous, and comprehensive presentation of Vistelius' concept of what mathematical geology is and where it should be heading in the future. It summarizes more than fifty years of experience, work, and understanding. ... this book should be mandatory reading for all those interested and working in mathematical geology because it presents much food for thought. '
Mathematical Geology, 26:3 (1994)
Mathematical Geology, 26:3 (1994)