Offering the insights of L.S. Pontryagin, one of the foremost thinkers in modern mathematics, the second volume in this four-volume set examines the nature and processes that make up topological groups. Already hailed as the leading work in this subject for its abundance of examples and its thorough explanations, the text is arranged so that readers can follow the material either sequentially or schematically. Stand-alone chapters cover such topics as topological division rings, linear representations of compact topological groups, and the concept of a lie group.
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Text: English, Russian (translation)
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First Sentence:
The theory of groups studies an algebraic operation in its purest form: the elements constituting the group are considered only from the point of view of the operation defined in the group, all other possible properties of the elements being ignored. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
differentiable coordinate system, central normal subgroup, unbounded division, local lie group, invariant positive definite quadratic form, covering deformation, regular subalgebra, positive root vectors, topological division ring, open homomorphism, locally compact commutative groups, free cyclic group, coordinate system belonging, subdivision ring, transformation group acting, arbitrary finite system, canonical coordinate system, additive topological group, locally isomorphic groups, exceptional algebras, intersection scheme, principal neighborhood, covering mapping, arbitrary neighborhood, adherent point Key Phrases - Capitalized Phrases (CAPs): (learn more)
Urysohn's Lemma, Theorem of Desargue, Schur's Lemma, Translators Note New!
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Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
The theory of groups studies an algebraic operation in its purest form: the elements constituting the group are considered only from the point of view of the operation defined in the group, all other possible properties of the elements being ignored. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
differentiable coordinate system, central normal subgroup, unbounded division, local lie group, invariant positive definite quadratic form, covering deformation, regular subalgebra, positive root vectors, topological division ring, open homomorphism, locally compact commutative groups, free cyclic group, coordinate system belonging, subdivision ring, transformation group acting, arbitrary finite system, canonical coordinate system, additive topological group, locally isomorphic groups, exceptional algebras, intersection scheme, principal neighborhood, covering mapping, arbitrary neighborhood, adherent point Key Phrases - Capitalized Phrases (CAPs): (learn more)
Urysohn's Lemma, Theorem of Desargue, Schur's Lemma, Translators Note New!
Books on Related Topics | Concordance | Text Stats Browse Sample Pages:
Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
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- L.S. Pontryagin: Mathematical Theory of Optimal Processes (Classics of Soviet Mathematics) by L.S. Pontryagin in Front Matter (1), Front Matter (2), and Front Matter (3)
- Algebraic and Differential Topology (Classics of Soviet Mathematics) by R. V. Gamkrelidze in Front Matter (1), and Front Matter (2)
- Selected Research Papers (Classics of Soviet Mathematics) by L.S. Pontryagn in Front Matter
- Ordinary Differential Equations by L.S. Pontryagin in Front Matter
- L.S. Pontryagin: Mathematical Theory of Optimal Processes (Classics of Soviet Mathematics) by L.S. Pontryagin in Front Matter (1), Front Matter (2), and Front Matter (3)
- Algebraic and Differential Topology (Classics of Soviet Mathematics) by R. V. Gamkrelidze in Front Matter (1), Front Matter (2), and Front Matter (3)
- Selected Research Papers (Classics of Soviet Mathematics) by L.S. Pontryagn in Front Matter (1), and Front Matter (2)
- L V Kantorovich (Classics of Soviet Mathematics) Part I and II (Pt.2) by Vsevolod L Kantorovich in Front Matter
- Applied Functional Analysis. Approximation Methods and Computers: Applied Functional Analysis, Approximation Methods and Computers (Classics of Soviet Mathematics) by S.S. Kutateladze in Front Matter
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