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標題: Titlebook: Introduction to Knot Theory; Richard H. Crowell,Ralph H. Fox Textbook 1963 R. H. Crowell and C. Fox 1963 Knot theory.Manifold.Topology.alg [打印本頁]

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作者: otic-capsule    時間: 2025-3-21 22:41

作者: CULP    時間: 2025-3-22 02:02
978-1-4612-9937-0R. H. Crowell and C. Fox 1963
作者: 迅速飛過    時間: 2025-3-22 05:47
Introduction to Knot Theory978-1-4612-9935-6Series ISSN 0072-5285 Series E-ISSN 2197-5612
作者: left-ventricle    時間: 2025-3-22 10:56
Presentation of Groups,In this chapter we give a firm foundation to the concept of defining a group by generators and relations. This is an important step; for example, if one is not careful to distinguish between the elements of a group and the words that describe these elements, utter confusion is likely to ensue.
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作者: 發(fā)炎    時間: 2025-3-23 08:59
Richard H. Crowell,Ralph H. Foxt, Ph.D., Professor of Preventive Medicine, and Founding Director?of the Center for Medical Humanities, Compassionate Care, and Bioethics, School of Medicine, Stony Brook University?.Dr. Hojat has provided, in this new edition, a definitive resource for the evolving area of empathy research and educ
作者: Commentary    時間: 2025-3-23 12:41
Richard H. Crowell,Ralph H. Foxt, Ph.D., Professor of Preventive Medicine, and Founding Director?of the Center for Medical Humanities, Compassionate Care, and Bioethics, School of Medicine, Stony Brook University?.Dr. Hojat has provided, in this new edition, a definitive resource for the evolving area of empathy research and educ
作者: 比賽用背帶    時間: 2025-3-23 16:12
Richard H. Crowell,Ralph H. Foxt, Ph.D., Professor of Preventive Medicine, and Founding Director?of the Center for Medical Humanities, Compassionate Care, and Bioethics, School of Medicine, Stony Brook University?.Dr. Hojat has provided, in this new edition, a definitive resource for the evolving area of empathy research and educ
作者: Asseverate    時間: 2025-3-23 19:27
Textbook 1963ge while a Philips Visitor there in the spring of 1956, is an attempt to make the subject accessible to everyone. Primarily it is a text- book for a course at the junior-senior level, but we believe that it can be used with profit also by graduate students. Because the algebra required is not the fa
作者: HALL    時間: 2025-3-24 01:57
Prerequisites,tters are dealt with in many standard textbooks. We may, for example, refer the reader to A. H. Wallace, . (Pergamon Press, 1957), Chapters I, II, and III, and to G. Birkhoff and S. MacLane, ., Revised Edition (The Mac-millan Co., New York, 1953), Chapters III, §§1–3, 7, 8; VI, §§4–8, 11–14; VII, §5
作者: 最后一個    時間: 2025-3-24 05:37
The Fundamental Group,ypical theorem of algebraic topology will read: If topological spaces . and . are homeomorphic, then such and such algebraic conditions are satisfied. The converse proposition, however, will generally be false. Thus, if the algebraic conditions are not satisfied, we know that . and . are topological
作者: evince    時間: 2025-3-24 08:06
Characteristic Properties of the Knot Polynomials,ples of which are the over and under presentations of knot groups defined in Chapter VI. It should be emphasized that our arguments apply only to tame knots, and throughout this chapter “knot” always means “tame knot.”
作者: 乞討    時間: 2025-3-24 11:29
0072-5285 ok for a course at the junior-senior level, but we believe that it can be used with profit also by graduate students. Because the algebra required is not the fa978-1-4612-9937-0978-1-4612-9935-6Series ISSN 0072-5285 Series E-ISSN 2197-5612
作者: 認識    時間: 2025-3-24 18:40
l Humanities, Compassionate Care, and Bioethics, School of Medicine, Stony Brook University?.Dr. Hojat has provided, in this new edition, a definitive resource for the evolving area of empathy research and educ978-3-319-80189-6978-3-319-27625-0
作者: 乏味    時間: 2025-3-24 22:30
Richard H. Crowell,Ralph H. Foxl Humanities, Compassionate Care, and Bioethics, School of Medicine, Stony Brook University?.Dr. Hojat has provided, in this new edition, a definitive resource for the evolving area of empathy research and educ978-3-319-80189-6978-3-319-27625-0
作者: 大看臺    時間: 2025-3-25 01:20
Richard H. Crowell,Ralph H. Foxl Humanities, Compassionate Care, and Bioethics, School of Medicine, Stony Brook University?.Dr. Hojat has provided, in this new edition, a definitive resource for the evolving area of empathy research and educ978-3-319-80189-6978-3-319-27625-0
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作者: epidermis    時間: 2025-3-26 01:13
The Free Calculus and the Elementary Ideals,tudy the necessary algebraic machinery for defining these invariants. Specialization to presentations of knot groups in Chapter VIII then leads naturally to the knot polynomials. With these invariants we can easily distinguish many knot types.
作者: Glaci冰    時間: 2025-3-26 05:00
Calculation of Fundamental Groups,the fundamental group as formed from the set of classes of equivalent loops based at a point, it is geometrically apparent that the spaces shown in Figure 14 below have the same, or isomorphic, fundamental groups.
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Prerequisites,ume that the reader is familiar with the concept of a function (or mapping) and the attendant notions of domain, range, image, inverse image, one-one, onto, composition, restriction, and inclusion mapping; with the concepts of equivalence relation and equivalence class; with the definition and eleme
作者: 樸素    時間: 2025-3-27 02:04

作者: MINT    時間: 2025-3-27 07:49
The Fundamental Group,situation exists in algebraic topology, where one associates algebraic structures with the purely topological, or geometric, configurations. The two basic geometric entities of topology are topological spaces and continuous functions mapping one space into another. The algebra involved, in contrast
作者: GROUP    時間: 2025-3-27 11:42
The Free Groups,groups are described by “defining relations,” or, as we are going to say later, are “presented”. We have here another (and completely different) analogy with analytic geometry. In analytic geometry a co?rdinate system is selected, and the geometric configuration to be studied is defined by a set of
作者: 他日關(guān)稅重重    時間: 2025-3-27 16:31

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作者: 神圣不可    時間: 2025-3-28 01:50
The Free Calculus and the Elementary Ideals,low, as was pointed out, that it is now a simple matter to distinguish knot groups, and thus knot types. There is no general algorithm for deciding whether or not two presentations define isomorphic groups, and even in particular examples the problem can be difficult. We are therefore concerned with
作者: 同謀    時間: 2025-3-28 02:39

作者: 水土    時間: 2025-3-28 10:20
tient outcomes of physician empathy and descriptions of undeIn this thorough revision, updating, and expansion of his great 2007 book, Empathy?in Patient Care, Professor Hojat offers all of us in healthcare education an uplifting?magnum opus that is sure to greatly enhance how we conceptualize, meas
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作者: 阻止    時間: 2025-3-28 21:29
Richard H. Crowell,Ralph H. Foxtient outcomes of physician empathy and descriptions of undeIn this thorough revision, updating, and expansion of his great 2007 book, Empathy?in Patient Care, Professor Hojat offers all of us in healthcare education an uplifting?magnum opus that is sure to greatly enhance how we conceptualize, meas
作者: grotto    時間: 2025-3-29 00:27
Richard H. Crowell,Ralph H. Foxcation an uplifting?magnum opus that is sure to greatly enhance how we conceptualize, measure, and teach?the central professional virtue of empathy. Hojat’s new Empathy in Health Professions?Education and Patient Care provides students and professionals across healthcare with?the most scientifically
作者: faction    時間: 2025-3-29 06:34

作者: 未開化    時間: 2025-3-29 07:31
Richard H. Crowell,Ralph H. Foxcation an uplifting?magnum opus that is sure to greatly enhance how we conceptualize, measure, and teach?the central professional virtue of empathy. Hojat’s new Empathy in Health Professions?Education and Patient Care provides students and professionals across healthcare with?the most scientifically
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