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The Geometry of Random Fields
An important treatment of the geometric properties of sets generated by random fields, including a comprehensive treatment of the mathematical basics of random fields in general. It is a standard reference for all researchers with an interest in random fields, whether they be theoreticians or come from applied areas.
Random Fields and Geometry
This monograph is devoted to a completely new approach to geometric problems arising in the study of random fields. The groundbreaking material in Part III, for which the background is carefully prepared in Parts I and II, is of both theoretical and practical importance, and striking in the way in which problems arising in geometry and probability are beautifully intertwined. "Random Fields and Geometry" will be useful for probabilists and statisticians, and for theoretical and applied mathematicians who wish to learn about new relationships between geometry and probability. It will be helpful for graduate students in a classroom setting, or for self-study. Finally, this text will serve as a basic reference for all those interested in the companion volume of the applications of the theory.
Random Fields and Their Geometry
This self-contained monograph contains a number of topics that focus on the many developments in the area of mathematical probability/statistics known as random fields. Robert Adler has been one of the major contributors to this subject. In an earlier work (1981) he dealt with a wide variety of geometrical problems that are unique to stochastic processes in dimensions higher than one, fashioning an interesting blend of geometry and probability. Some old classical topics (non-geometric in nature) are presented in the first few chapters, but the material has been recast in the post-1980 setting of entropy. This is followed by a treatment of random geometry which takes into account the recent w...
Aristotle for Everybody
Adler instructs the world in the "uncommon common sense" of Aristotelian logic, presenting Aristotle's understandings in a current, delightfully lucid way. Aristotle (384 - 322 B.C.) taught logic to Alexander the Great and, by virtue of his philosophical works, to every philosopher since, from Marcus Aurelius, to Thomas Aquinas, to Mortimer J. Adler. Now Adler instructs the world in the "uncommon common sense" of Aristotelian logic, presenting Aristotle's understandings in a current, delightfully lucid way. He brings Aristotle's work to an everyday level. By encouraging readers to think philosophically, Adler offers us a unique path to personal insights and understanding of intangibles, such as the difference between wants and needs, the proper way to pursue happiness, and the right plan for a good life.
How to Think About the Great Ideas
Time magazine called Mortimer J. Adler a "philosopher for everyman." In this guide to considering the big questions, Adler addresses the topics all men and women ponder in the course of life, such as "What is love?", "How do we decide the right thing to do?", and, "What does it mean to be good?" Drawing on his extensive knowledge of Western literature, history, and philosophy, the author considers what is meant by democracy, law, emotion, language, truth, and other abstract concepts in light of more than two millennia of Western civilization and discourse. Adler's essays offer a remarkable and contemplative distillation of the Great Ideas of Western Thought.
Ten Philosophical Mistakes
An illuminating critique of modern thought from America's "Philosopher for Everyman" (Time). Ten Philosophical Mistakes examines ten errors in modern thought and shows how they have led to serious consequences in our everyday lives. It teaches how they came about, how to avoid them, and how to counter their negative effects.
The Dream of a Democratic Culture
This book presents a moderately revisionist history of the great books idea anchored in the following movements and struggles: fighting anti-intellectualism, advocating for the liberal arts, distributing cultural capital, and promoting a public philosophy, anchored in mid-century liberalism, that fostered a shared civic culture.
Jewish Manuscript Cultures
Hebrew manuscripts are considered to be invaluable documents and artefacts of Jewish culture and history. Research on Hebrew manuscript culture is progressing rapidly and therefore its topics, methods and questions need to be enunciated and reflected upon. The case studies assembled in this volume explore various fields of research on Hebrew manuscripts. They show paradigmatically the current developments concerning codicology and palaeography, book forms like the scroll and codex, scribes and their writing material, patrons, collectors and censors, manuscript and book collections, illuminations and fragments, and, last but not least, new methods of material analysis applied to manuscripts. The principal focus of this volume is the material and intellectual history of Hebrew book cultures from antiquity to the Middle Ages and Early Modern Period, its intention being to heighten and sharpen the reader’s understanding of Jewish social and cultural history in general.
Angels and Us
Dr. Adler takes an engaging look at the various images and hierarchies of angels ( including guardian angels), speculating on the existence of these creatures and the ways in which they have been viewed as objects of religious belief and philosophical thought. Lightning Print On Demand Title
