Set Theory by Felix Hausdorff (17 results)

Paperback. Condition: Brand New. 352 pages. 8.75x5.75x0.75 inches. In Stock.

Paperback. Condition: New. In the early twentieth century, Hausdorff developed an axiomatic approach to topology, which continues to be the foundation of modern topology. The present book, the English translation of the third edition of Hausdorff's Mengenlehre, is a thorough introduction to his theory of point-set topology.The treatment begins with topics in the foundations of mathematics, including the basics of abstract set theory, sums and products of sets, cardinal and ordinal numbers, and Hausdorff's well-ordering theorem. The exposition then specializes to point sets, where major topics such as Borel systems, first and second category, and connectedness are considered in detail. Next, mappings between spaces are introduced. This leads naturally to a discussion of topological spaces and continuous mappings between them. Finally, the theory is applied to the study of real functions and their properties.The book does not presuppose any mathematical knowledge beyond calculus, but it does require a certain maturity in abstract reasoning; qualified college seniors and first-year graduate students should have no difficulty in making the material their own.

Paperback. Condition: Very Good. This work is a translation into English of the third edition of the classic German language work "Mengenlehre" by Felix Hausdorff published in 1937.From the Preface (1937): 'The present book has as its purpose an exposition of the most important theorems of the theory of sets, along with complete proofs, so that the reader should not find it necessary to go outside this book for supplementary details while, on the other hand, the book should enable him to undertake a more detailed study of the voluminous literature on the subject. The book does not presuppose any mathematical knowledge beyond the differential and integral calculus, but it does require a certain maturity in abstract reasoning; qualified college seniors and first year graduate students should have no difficulty in making the material their own.The mathematician will.find in this book some things that will be new to him, at least as regards formal presentation and, in particular, as regards the strengthening of theorems, the simplification of proofs, and the removal of unnecessary hypotheses'.

Condition: New.

Condition: As New. Unread book in perfect condition.

PAP. Condition: New. New Book. Shipped from UK. Established seller since 2000.

hardcover. Condition: Good. Hardcover book no dust jacket. Light wear to book cover and book edges.

Paperback / softback. Condition: New. New copy - Usually dispatched within 4 working days.

Condition: New. Presents various theorems of the theory of sets along with complete proofs. This book discusses strengthening of theorems, the simplification of proofs, and the removal of unnecessary hypotheses.

Paperback. Condition: New. In the early twentieth century, Hausdorff developed an axiomatic approach to topology, which continues to be the foundation of modern topology. The present book, the English translation of the third edition of Hausdorff's Mengenlehre, is a thorough introduction to his theory of point-set topology.The treatment begins with topics in the foundations of mathematics, including the basics of abstract set theory, sums and products of sets, cardinal and ordinal numbers, and Hausdorff's well-ordering theorem. The exposition then specializes to point sets, where major topics such as Borel systems, first and second category, and connectedness are considered in detail. Next, mappings between spaces are introduced. This leads naturally to a discussion of topological spaces and continuous mappings between them. Finally, the theory is applied to the study of real functions and their properties.The book does not presuppose any mathematical knowledge beyond calculus, but it does require a certain maturity in abstract reasoning; qualified college seniors and first-year graduate students should have no difficulty in making the material their own.

Hardcover. Condition: new. Excellent Condition.Excels in customer satisfaction, prompt replies, and quality checks.

Hardcover. Condition: Good. No dust jacket. Just minor wear to cover and no markings to text. ***Shipped within 24 hours from the beautiful Baltimore inner harbor area. First class service; accurate descriptions. Most items packed in boxes, not envelopes.***. Book.

Condition: Good. 1957 1st. ed.name stamp to bottom edge. Your purchase helps support Sri Lankan Children's Charity 'The Rainbow Centre'. Shows some signs of wear but in good overall condition. Our donations to The Rainbow Centre have helped provide an education and a safe haven to hundreds of children who live in appalling conditions.

Condition: Very Good. 352pp, reprint, light wear to covers, previous owners name on flyleaf otherwise unmarked.

Hardcover. Condition: Very Good. 8vo (23.5 cm), 352 pp. Publisher's cloth, gilt-lettered spines (bindings slightly rubbed, number on the front free endpaper, canceled stamp of a mathematical institution verso of the title page). Second edition translated into English by John R. Aumann of a book by the German mathematician Felix Hausdorff (1868-1942). It presents his research on the theory of sets, focusing particularly on the development of a formal axiomatic system for set theory. Hausdorff's work on set theory was significant in shaping modern mathematics and establishing its foundations. In the book, he delves into properties of sets, the nature of set operations, and the importance of axiomatic systems in comprehending these phenomena. Furthermore, Hausdorff introduces the concept of cardinality, which serves as a measure of the size of sets. "A very rare case in mathematical literature: the foundations of a new discipline are laid without the support of any previously published comprehensive work" (DSB VI, p.176).

Hardcover. Condition: Good. 1st Edition. 476 pp. Bound in cloth-backed boards. Edge-wear, forecorners exposed; institutional stamps on the fly leaf and title page and spine label removed. Grundzüge der Mengenlehre was the first comprehensive introduction to set theory, which included chapters on measure theory and topology, then still considered parts of set theory, the foundation for those as independent areas of mathematics.

352 S., Lit.verz. Reg. Ln.