GuoliangWang
Lecture Notes On General Topology
Lecture Notes On General Topology
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This book is a one-semester course in general topology for undergraduate and first-year graduate students, focusing on basic concepts and presentation. It includes exercises with selected solutions and emphasizes interrelationships among concepts. Twelve topological spaces are used as examples.
\n Format: Hardback
\n Length: 152 pages
\n Publication date: 04 January 2021
\n Publisher: World Scientific Publishing Co Pte Ltd
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This comprehensive textbook serves as a one-semester course in general topology, commonly referred to as point-set topology, designed for undergraduate students and first-year graduate students. It is widely recognized as a fundamental prerequisite for advanced studies in analysis, geometry, manifolds, and, undoubtedly, a successful career in mathematical research. Researchers will particularly benefit from the extensive indices included in the book.
General topology, akin to a language in modern mathematics, is the focus of this text. Consequently, the book emphasizes fundamental concepts in general topology, presenting them in a concise and precise manner. While it may be challenging to ascertain the exact nature of basic concepts within this field, the author has made thoughtful efforts to select them based on their occurrence frequency in advanced mathematics and their positive reviews in related books. Additionally, each chapter includes exercises with selected solutions, and the text frequently considers the interrelationships among these concepts.
Twelve specific topological spaces are repeatedly utilized throughout the book as examples to facilitate the learning of new concepts through the application of established principles. This approach allows students to build a strong foundation in topology while gaining practical insights into its applications.
In summary, this textbook offers a comprehensive and accessible introduction to general topology, making it an invaluable resource for undergraduate students, first-year graduate students, and researchers alike. Its focus on fundamental concepts, concise presentation, and practical examples ensure a solid understanding of this essential branch of mathematics.
\n Weight: 390g\n
Dimension: 177 x 246 x 15 (mm)\n
ISBN-13: 9789811227417\n \n
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