This book contains my answer to that question. The purpose of the book is to tell the beginning student of advanced mathematics the basic set- theoretic facts of life, and to do so with the minimum of philosophical discourse and logical formalism. The point of view throughout is that of a prospective mathematician anxious to study groups, or integrals, or manifolds. From this point of view the concepts and methods of this book are merely some of the standard mathematical tools; the expert specialist will find nothing new here. Scholarly bibliographical credits and references are out of place in a purely expository book such as this one. The student who gets interested in set theory for its own sake should know, however, that there is much more to the subject than there is in this book. One of the most beautiful sources of set-theoretic wisdom is still Hausdorff's Set theory. A recent and highly readable addition to the literature, with an extensive and up-to-date bibliography, is Axiomatic set theory by Suppes.

    * Enhanced sections throughout text provide much firmer foundation than the first edition. * Literature citations are given throughout for reference to additional material.

    It has been written to help you develop, on your own, a plan of personal culture, of self-education, that will benefit you for your entire life, and to show you practical methods of teaching yourself so that the effort can be brought to some result.The plan offered is not a series of courses to be taken at home. It is not a method for acquiring a certain amount of skill or knowledge in a specific direction. It is a plan for your whole intellectual lifetime. It includes everything learned or heard of, in school or out. It comprises everything read or seen that you can raise to the height of thought. It is primarily a habit and an outlook. Since what is planned is the intelligent life itself, it can never come to an end.No previous education is required except the ability to read this book and to count. It is necessary that you should want to know more, feel more, see and respond to more than you can when you begin. Some good will is needed, a friendly feeling toward the achievement of the human mind.

    The Fourth Edition of volumes 1 and 2 is concerned with mechanics and E&M/Optics. New features include: expanded coverage of classic physics topics, substantial increases in the number of in-text examples which reinforce text exposition, the latest pedagogical and technical advances in the field, numerical analysis, computer-generated graphics, computer projects and much more.