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Science & Mathematics - Introduction to the Theory of Sets (Dover Books on Mathematics)

Description

Book Synopsis: Set theory permeates much of contemporary mathematical thought. This text for undergraduates offers a natural introduction, developing the subject through observations of the physical world. Its progressive development leads from concrete finite sets to cardinal numbers, infinite cardinals, and ordinals. Although set theory begins in the intuitive and the concrete, it ascends to a very high degree of abstraction. All that is necessary to its grasp, declares author Joseph Breuer, is patience. Breuer illustrates the grounding of finite sets in arithmetic, permutations, and combinations, which provides the terminology and symbolism for further study. Discussions of general theory lead to a study of ordered sets, concluding with a look at the paradoxes of set theory and the nature of formalism and intuitionalism. Answers to exercises incorporated throughout the text appear at the end, along with an appendix featuring glossaries and other helpful information.

Details

Embark on a journey of mathematical discovery with our captivating book, Introduction to the Theory of Sets. Dive into the fascinating world of set theory that underpins modern mathematical thinking. Written in an engaging style, this book provides a natural introduction to set theory, starting with concrete finite sets and advancing to infinite cardinals and ordinals. Whether you're a seasoned mathematics enthusiast or a curious undergrad, this book is sure to spark your interest and expand your understanding of this fundamental branch of mathematics.

Author Joseph Breuer takes you on a thought-provoking exploration of set theory, guiding you through the intricacies of the subject with clarity and precision. With its progressive approach, this book equips you with the tools to comprehend abstract concepts and tackle complex problems in a systematic manner. Breuer's emphasis on patience as the key to mastering set theory sets the stage for a rewarding learning experience that will deepen your appreciation for the beauty of mathematics.

From arithmetic to ordered sets, this comprehensive text covers a wide range of topics in set theory, providing a solid foundation for further study and exploration. The inclusion of exercises and detailed answers allows you to test your understanding and reinforce your learning. Discover the paradoxes of set theory and gain insights into the nature of formalism and intuitionalism, all within the pages of this invaluable resource for students and enthusiasts alike.

Ready to embark on your mathematical journey with Introduction to the Theory of Sets? Explore the captivating world of set theory and deepen your understanding of this essential mathematical discipline. Don't miss out on this opportunity to enhance your knowledge and sharpen your problem-solving skills. Order your copy today!

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