Rinaldo B. Schinazi Knihy

The textbook offers a comprehensive transition from undergraduate analysis to graduate-level measure theory, emphasizing classical foundations and modern topics such as metric spaces and Lebesgue integration. It is structured for a two-semester course, focusing on metric spaces and topology to prepare students for the abstraction and rigor of graduate studies. By striking a balance between overly formal and too casual approaches, it provides an accessible yet rigorous introduction to real analysis.

This second edition textbook provides a practical introduction to probability for undergraduates, accommodating various backgrounds. It covers essential concepts with sensitivity to calculus difficulties and includes new examples and exercises. The text expands on estimation in the last chapters, forming a foundation for further study in mathematical statistics.

This second edition textbook offers a practical introduction to probability for undergraduates at all levels with different backgrounds and views towards applications. Calculus is a prerequisite for understanding the basic concepts, however the book is written with a sensitivity to students’ common difficulties with calculus that does not obscure the thorough treatment of the probability content. The first six chapters of this text neatly and concisely cover the material traditionally required by most undergraduate programs for a first course in probability. The comprehensive text includes a multitude of new examples and exercises, and careful revisions throughout. Particular attention is given to the expansion of the last three chapters of the book with the addition of one entirely new chapter (9) on ’Finding and Comparing Estimators.’ The classroom-tested material presented in this second edition forms the basis for a second course introducing mathematical statistics.