Beecher, Penna, and Bittinger’s College Algebra is known for enabling students to “see the math” through its focus on visualization and early introduction to functions. With the Fourth Edition, the authors continue to innovate by incorporating more ongoing review to help students develop their understanding and study effectively. Mid-chapter Review exercise sets have been added to give students practice in synthesizing the concepts, and new Study Summaries provide built-in tools to help them prepare for tests. The MyMathLab course (access kit required) has been expanded so that the online content is even more integrated with the text’s approach, with the addition of Vocabulary, Synthesis, and Mid-chapter Review exercises from the text as well as example-based videos created by the authors.
The authors help students "see the math" through their focus on functions; visual emphasis; side-by-side algebraic and graphical solutions; real-data applications; and examples and exercises. By remaining focused on today's students and their needs, the authors lead students to mathematical understanding and, ultimately, success in class.
The Medieval Idea of Law As Represented by Lucas De Penna: A Study in Fourteenth-century Legal Scholarship (Routledge Revivals)
Upon its original publication in 1946, this work represented a new approach to medieval studies, offering indispensable analysis to the historian of legal, political and social ideas. Research into the original sources leads the author through unexplored realms of medieval thought. By contrasting contemporary opinions with those of his central figure, Lucas de Penna, he comprehensively presents the medieval idea of law -- then regarded as the concrete manifestation of abstract justice. The intensity of medieval academic life is revealed in the heated controversies, whilst medieval criminology foreshadows modern developments. A significant discovery is the astonishingly great reliance which Continental scholars placed upon English thought. A challenge to certain current misconceptions, this book shows the resourcefulness of medieval thinking and the extent to which modern ideas were foreshadowed in the fourteenth century, a time when the ideas of law and liberty were identical.