Title
Elementary Concepts Of Topology (Dover Books On Mathematics)
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Alexandroff'S Beautiful And Elegant Introduction To Topology Was Originally Published In 1932 As An Extension Of Certain Aspects Of Hilbert'S Anschauliche Geometrie. The Text Has Long Been Recognized As One Of The Finest Presentations Of The Fundamental Concepts, Vital For Mathematicians Who Haven'T Time For Extensive Study And For Beginning Investigators.The Book Is Not A Substitute For A Systematic Text, But An Unusually Useful Intuitive Approach To The Basic Concepts. Its Aim Is To Present These Concepts In A Clear, Elementary Fashion Without Sacrificing Their Profundity Or Exactness And To Give Some Indication Of How They Are Useful In Increasingly More Areas Of Mathematics. The Author Proceeds From The Basics Of Settheoretic Topology, Through Those Topological Theorems And Questions Which Are Based Upon The Concept Of The Algebraic Complex, To The Concept Of Betti Groups Which Binds Together Central Topological Theories In A Whole And Upon Which Applications Of Topology Largely Rest.Wholly Consistent With Current Investigations, In Which A Larger And Larger Part Of Topology Is Governed By The Concept Of Homology, The Book Deals Primarily With The Concepts Of Complex, Cycle, And Homology. It Points The Way Toward A Systematic And Entirely Geometrically Oriented Theory Of The Most General Structures Of Space.First English Translation, Prepared For Dover By Alan E. Farley. Preface By David Hilbert. Author'S Foreword. Index. 25 Figures.
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- Q: How many pages does this book have? A: This book has sixty-four pages. It provides a concise introduction to fundamental concepts in topology.
- Q: What is the binding type of this book? A: This book is paperback bound. This makes it lightweight and easy to handle for reading.
- Q: What are the dimensions of this book? A: The dimensions of this book are five point five one inches by eight point five inches by zero point two five inches. These dimensions make it a convenient size for carrying.
- Q: What is the reading level of this book? A: This book is suitable for beginners and those new to topology. It offers an intuitive approach to complex mathematical concepts.
- Q: Is this book suitable for self-study? A: Yes, this book is suitable for self-study. It presents essential concepts in a clear and accessible manner.
- Q: Who is the author of this book? A: The author of this book is Paul Alexandroff. He is known for his contributions to the field of topology.
- Q: How should I store this book? A: Store this book in a cool, dry place to protect it from moisture. Keeping it on a shelf or in a bookcase will help maintain its condition.
- Q: Can I use this book for a course on topology? A: Yes, this book can be used as a supplementary resource for a topology course. It complements more systematic texts well.
- Q: Does this book have illustrations? A: Yes, this book includes twenty-five figures. These illustrations aid in understanding the concepts discussed.
- Q: What themes are explored in this book? A: This book explores themes like set-theoretic topology, algebraic complex, and the concept of Betti groups. These are fundamental ideas in modern topology.
- Q: Is this book a comprehensive guide to topology? A: No, this book is not a comprehensive guide. It is an intuitive introduction rather than a systematic text.
- Q: What is the publication year of this book? A: This book was originally published in nineteen thirty-two. It has been recognized for its enduring quality in teaching topology.
- Q: Does this book include a preface? A: Yes, this book includes a preface by David Hilbert. This adds credibility and context to Alexandroff's work.
- Q: Is this book appropriate for advanced mathematicians? A: While this book is accessible, it may be too basic for advanced mathematicians. It is designed for beginners and those needing a refresher.
- Q: What mathematical topics does this book cover? A: This book covers basic concepts of topology, including homology and geometric theory. It provides foundational knowledge for further study.