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First Look at Rigorous Prob..(2nd Ed)

by Rosenthal Jeffrey S

A measure-theoretic introduction to probability

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Paperback New English

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AlbakiReads Editorial

A measure-theoretic introduction to probability

Jeffrey S. Rosenthal’s textbook develops introductory probability theory with measure theory as its foundation, while connecting the mathematical framework to intuitive probabilistic concepts. Complete proofs accompany the essential introductory results, making the book a route into precise probability without treating measure theory as a separate end in itself. The second edition expands existing material and adds exercises and smaller topics. Its emphasis is on building a rigorous working understanding while keeping technical detail focused.

Good fit for readers who enjoy

  • Graduate students in mathematics, statistics, economics, management, finance, computer science, or engineering who need a mathematically precise foundation in probability.
  • Readers seeking an introductory probability text with complete proofs and exercises.

Themes

Probability theoryMeasure theoryMathematical rigorProofs and exercises

Based on publisher information and book metadata.

Book overview

This textbook is an introduction to probability theory using measure theory. It is designed for graduate students in a variety of fields (mathematics, statistics, economics, management, finance, computer science, and engineering) who require a working knowledge of probability theory that is mathematically precise, but without excessive technicalities. The text provides complete proofs of all the essential introductory results. Nevertheless, the treatment is focused and accessible, with the measure theory and mathematical details presented in terms of intuitive probabilistic concepts, rather than as separate, imposing subjects. In this new edition, many exercises and small additional topics have been added and existing ones expanded. The text strikes an appropriate balance, rigorously developing probability theory while avoiding unnecessary detail.

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