Accessible but rigorous, this outstanding text encompasses all of the topics covered by a typical course in elementary abstract algebra. Its easy-to-read treatment offers an intuitive approach, featuring informal discussions followed by thematically arranged exercises. This second edition features additional exercises to improve student familiarity with applications. 1990 edition.
How the Mind Creates the Features & Structure of All Things, and Why this Insight Transforms Physics
The topic of this book is the relationship between mind and the physical world. The book traces this story back to Descartes, through Kant, to the beginnings of 20th Century physics, where it becomes clear that the mind-world relationship is not a speculative question but has a direct impact on the understanding of physical phenomena.
"This accessible approach to set theory for upper-level undergraduates poses rigorous but simple arguments. Each definition is accompanied by commentary that motivates and explains new concepts. A historical introduction is followed by discussions of classes and sets, functions, natural and cardinal numbers, the arithmetic of ordinal numbers, and related topics. 1971 edition with new material by the author"--