Bøger af Werner Linde

This book is intended as an introduction to Probability Theory and Mathematical Statistics for students in mathematics, the physical sciences, engineering, and related fields. It is based on the author's 25 years of experience teaching probability and is squarely aimed at helping students overcome common difficulties in learning the subject. The focus of the book is an explanation of the theory, mainly by the use of many examples. Whenever possible, proofs of stated results are provided. All sections conclude with a short list of problems. The book also includes several optional sections on more advanced topics. This textbook would be ideal for use in a first course in Probability Theory. Contents: Probabilities Conditional Probabilities and Independence Random Variables and Their Distribution Operations on Random Variables Expected Value, Variance, and Covariance Normally Distributed Random Vectors Limit Theorems Introduction to Stochastic Processes Mathematical Statistics Appendix Bibliography Index

Stochastik gilt im Lehramtsstudium als schwer verständlich und kompliziert. Dieses Lehrbuch erleichtert den Einstieg in die Welt der stochastischen Denkweise und vermittelt strukturiert alle notwendigen Kenntnisse, um Stochastik allgemein verständlich zu unterrichten. Anhand zahlreicher Beispiele, wie geometrischer Fragestellungen, Glückspiele oder statistische Untersuchungen von Daten, zeigt der Autor interessante Anwendungen der Stochastik auf. Damit ist das Buch nicht nur eine ideale Vorlesungsbegleitung zur Einführung in die Wahrscheinlichkeitstheorie, sondern bereitet Lehramtsstudenten optimal auf ihre spätere Tätigkeit in der Schule vor und bietet vielfache Anregungen für eine anschauliche Gestaltung des Schulunterrichts.

This book is intended as an introduction to Probability Theory and Mathematical Statistics for students in mathematics, the physical sciences, engineering, and related fields. It is based on the author's 25 years of experience teaching probability and is squarely aimed at helping students overcome common difficulties in learning the subject. The focus of the book is an explanation of the theory, mainly by the use of many examples. Whenever possible, proofs of stated results are provided. All sections conclude with a short list of problems. The book also includes several optional sections on more advanced topics. This textbook would be ideal for use in a first course in Probability Theory. Contents:ProbabilitiesConditional Probabilities and IndependenceRandom Variables and Their DistributionOperations on Random VariablesExpected Value, Variance, and CovarianceNormally Distributed Random VectorsLimit TheoremsMathematical StatisticsAppendixBibliographyIndex