Principles of Mathematical Geology by A.B. VisteliusPrinciples of Mathematical Geology by A.B. Vistelius

Principles of Mathematical Geology

byA.B. Vistelius

Paperback | November 13, 2012

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Preface to the English edition xiii Basic notations xv Introduction xvii amPl'ER 1. Mathenatical Geology and the Developnent of Geological Sciences 1 1. 1 Introduction 1 1. 2 Developnent of geology and the change of paradigms 2 1. 3 Organization of the mediun and typical structures 8 1. 4 statement of the problem: the role of models in the search for solutions 14 1. 5 Mathematical geology and its developnent 19 References 23 amPTER II. Probability Space and Randan Variables 29 11. 1 Introduction 29 11. 2 Discrete space of elementary events 29 11. 2. 1 Probability space 30 II. 2 • 2 Randan variabl es 33 11. 3 Kolroogorov's axian; The Lebesgue integral 35 II. 3. 1 Probability space and randan variables 36 I 1. 3. 2 The Lebesgue integral 40 II. 3. 3 Nunerical characteristics of raman variables 44 II. 4 <_les20_of20_distributions20_of20_randan20_variables20_4620_ii.20_4.20_120_discrete20_distributions20_4620_ii.20_4.20_220_absolutely20_continuous20_distributions20_5120_ii.20_520_vector20_randan20_variables20_5820_ii.20_5.20_120_product20_of20_probability20_spaces20_5820_ii.20_5.20_220_distribution20_of20_vector20_randan20_variables20_6020_ii.20_5.20_320_olaracteristics20_of20_vector20_randan20_variables20_6520_11.20_5.20_420_exanples20_of20_distributions20_of20_vector20_raman20_variabl20_es20_6920_ii20_.20_5.20_520_conditional20_distributions20_with20_respect20_to20_randan20_variables20_8120_ii.20_620_transfomations20_of20_randan20_variables20_9020_11.20_6.20_120_linear20_transfomations20_9120_ii.20_6.20_220_sane20_non-linear20_transfomations20_9520_11.20_6. of="" distributions="" randan="" variables="" 46="" ii.="" 4.="" 1="" discrete="" 2="" absolutely="" continuous="" 51="" 5="" vector="" 58="" 5.="" product="" probability="" spaces="" distribution="" 60="" 3="" olaracteristics="" 65="" 11.="" 4="" exanples="" raman="" variabl="" es="" 69="" ii="" .="" conditional="" with="" respect="" to="" 81="" 6="" transfomations="" 90="" 6.="" linear="" 91="" sane="" non-linear="" 95="">
Title:Principles of Mathematical GeologyFormat:PaperbackDimensions:477 pagesPublished:November 13, 2012Publisher:Springer-Verlag/Sci-Tech/TradeLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:9401053030

ISBN - 13:9789401053037

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Table of Contents

Preface. Preface to the English Edition. Basic Notations. Introduction. I: Mathematical Geology and the Development of Geological Sciencies. II: Probability Space and Random Variables. III: Basic Statistical Concepts -- Problems of Estimation and Testing of Hypotheses. IV: Random Sequences and their Markov Chains. V: Transformations of Markov Chains. VI: Statistical Inferences on Properties of Random Sequences and Markov Hypotheses. VII: Random Diffusion Processes. VIII: Coming Problems and Paradigm of Geological Sciences of the 21st Century. Authors' Index. Geographical Index. Subject Index.