Elementary Concepts Of Topology (Dover Books On Mathematics)

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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Frequently Asked Questions

  • Q: What topics are covered in 'Elementary Concepts of Topology'? A: The book covers fundamental concepts of topology, set-theoretic topology, algebraic complexes, and Betti groups, providing an intuitive approach to these subjects.
  • Q: Who is the author of this book? A: The author of 'Elementary Concepts of Topology' is Paul Alexandroff.
  • Q: When was this book first published? A: The book was originally published in 1932.
  • Q: Is this book suitable for beginners in mathematics? A: Yes, the book is designed for beginning investigators and mathematicians without time for extensive study, offering a clear and elementary presentation of concepts.
  • Q: What is the binding type of this book? A: The book is available in paperback binding.
  • Q: How many pages does 'Elementary Concepts of Topology' have? A: The book contains 64 pages.
  • Q: What is the condition of the book? A: The book is listed in 'Very Good' condition.
  • Q: Does this book include illustrations or figures? A: Yes, the book includes 25 figures to help illustrate key concepts.
  • Q: Is there a preface or foreword in this book? A: Yes, the book includes a preface by David Hilbert and an author's foreword.
  • Q: What is the significance of this book in the field of topology? A: The book is recognized as one of the finest presentations of basic topological concepts, making it vital for understanding more complex topics in mathematics.