Point Set Topology PDF Download
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Author: Steven A. Gaal
Publisher: Courier Corporation
ISBN: 0486472221
Category : Mathematics
Languages : en
Pages : 338
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Book Description
Suitable for a complete course in topology, this text also functions as a self-contained treatment for independent study. Additional enrichment materials make it equally valuable as a reference. 1964 edition.
Author: Steven A. Gaal
Publisher: Courier Corporation
ISBN: 0486472221
Category : Mathematics
Languages : en
Pages : 338
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Book Description
Suitable for a complete course in topology, this text also functions as a self-contained treatment for independent study. Additional enrichment materials make it equally valuable as a reference. 1964 edition.
Author: Thomas J. Jech
Publisher: Courier Corporation
ISBN: 0486466248
Category : Mathematics
Languages : en
Pages : 226
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Book Description
Comprehensive and self-contained text examines the axiom's relative strengths and consequences, including its consistency and independence, relation to permutation models, and examples and counterexamples of its use. 1973 edition.
Author: Craig Nicholas Bach
Publisher:
ISBN:
Category :
Languages : en
Pages : 70
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Book Description
Author: Karel Hrbacek
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 272
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Book Description
Author: G.H. Moore
Publisher: Springer Science & Business Media
ISBN: 1461394783
Category : Mathematics
Languages : en
Pages : 425
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Book Description
This book grew out of my interest in what is common to three disciplines: mathematics, philosophy, and history. The origins of Zermelo's Axiom of Choice, as well as the controversy that it engendered, certainly lie in that intersection. Since the time of Aristotle, mathematics has been concerned alternately with its assumptions and with the objects, such as number and space, about which those assumptions were made. In the historical context of Zermelo's Axiom, I have explored both the vagaries and the fertility of this alternating concern. Though Zermelo's research has provided the focus for this book, much of it is devoted to the problems from which his work originated and to the later developments which, directly or indirectly, he inspired. A few remarks about format are in order. In this book a publication is indicated by a date after a name; so Hilbert 1926, 178 refers to page 178 of an article written by Hilbert, published in 1926, and listed in the bibliography.
Author: Richard W. Kaye
Publisher: Cambridge University Press
ISBN: 1139467212
Category : Mathematics
Languages : en
Pages : 12
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Book Description
This undergraduate textbook covers the key material for a typical first course in logic, in particular presenting a full mathematical account of the most important result in logic, the Completeness Theorem for first-order logic. Looking at a series of interesting systems, increasing in complexity, then proving and discussing the Completeness Theorem for each, the author ensures that the number of new concepts to be absorbed at each stage is manageable, whilst providing lively mathematical applications throughout. Unfamiliar terminology is kept to a minimum, no background in formal set-theory is required, and the book contains proofs of all the required set theoretical results. The reader is taken on a journey starting with König's Lemma, and progressing via order relations, Zorn's Lemma, Boolean algebras, and propositional logic, to completeness and compactness of first-order logic. As applications of the work on first-order logic, two final chapters provide introductions to model theory and nonstandard analysis.
Author: Herman Rubin
Publisher: Elsevier
ISBN: 0444533990
Category : Axiom of choice
Languages : en
Pages : 159
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Book Description
Author: Heinz-Dieter Ebbinghaus
Publisher: Springer Science & Business Media
ISBN: 3540495533
Category : Mathematics
Languages : en
Pages : 368
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Book Description
This biography attempts to shed light on all facets of Zermelo's life and achievements. Personal and scientific aspects are kept separate as far as coherence allows, in order to enable the reader to follow the one or the other of these threads. The presentation of his work explores motivations, aims, acceptance, and influence. Selected proofs and information gleaned from unpublished notes and letters add to the analysis.
Author: Paul J. Cohen
Publisher: Courier Corporation
ISBN: 0486469212
Category : Mathematics
Languages : en
Pages : 196
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Book Description
This exploration of a notorious mathematical problem is the work of the man who discovered the solution. Written by an award-winning professor at Stanford University, it employs intuitive explanations as well as detailed mathematical proofs in a self-contained treatment. This unique text and reference is suitable for students and professionals. 1966 edition. Copyright renewed 1994.
Author: P. T. Johnstone
Publisher: Oxford University Press
ISBN: 9780198515982
Category : Computers
Languages : en
Pages : 836
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Book Description
Topos Theory is a subject that stands at the junction of geometry, mathematical logic and theoretical computer science, and it derives much of its power from the interplay of ideas drawn from these different areas. Because of this, an account of topos theory which approaches the subject from one particular direction can only hope to give a partial picture; the aim of this compendium is to present as comprehensive an account as possible of all the main approaches and to thereby demonstrate the overall unity of the subject. The material is organized in such a way that readers interested in following a particular line of approach may do so by starting at an appropriate point in the text.
