What is the Genus? (Lecture Notes in Mathematics)

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9783319423111: What is the Genus? (Lecture Notes in Mathematics)
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"This clear book thoroughly covers the metamorphosis and theoretical significance of the genus by using several historical approaches that incorporate discussions related to analysis, algebraic geometry, number theory, and topology. ... The book contains 20 figures and concludes with a list of 200 references and an index, which will help those who wish to delve into deeper studies. Summing Up: Recommended. Upper-division undergraduates and above; faculty and professionals." (D. P. Turner, Choice, Vol. 54 (9), May, 2017)

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Exploring several of the evolutionary branches of the mathematical notion of genus, this book traces the idea from its prehistory in problems of integration, through algebraic curves and their associated Riemann surfaces, into algebraic surfaces, and finally into higher dimensions. Its importance in analysis, algebraic geometry, number theory and topology is emphasized through many theorems. Almost every chapter is organized around excerpts from a research paper in which a new perspective was brought on the genus or on one of the objects to which this notion applies. The author was motivated by the belief that a subject may best be understood and communicated by studying its broad lines of development, feeling the way one arrives at the definitions of its fundamental notions, and appreciating the amount of effort spent in order to explore its phenomena.

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Descripción Springer, 2016. Condición: New. Translation from the French Series: Lecture Notes in Mathematics. Num Pages: 201 pages, 20 black & white illustrations, biography. BIC Classification: PBMW; PBPD; PBX. Category: (P) Professional & Vocational. Dimension: 157 x 236 x 17. Weight in Grams: 326. . 2016. 1st ed. 2016. Paperback. . . . . . Nº de ref. del artículo: V9783319423111

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Descripción Condición: New. Publisher/Verlag: Springer, Berlin | Translation from the French | Exploring several of the evolutionary branches of the mathematical notion of genus, this book traces the idea from its prehistory in problems of integration, through algebraic curves and their associated Riemann surfaces, into algebraic surfaces, and finally into higher dimensions. Its importance in analysis, algebraic geometry, number theory and topology is emphasized through many theorems. Almost every chapter is organized around excerpts from a research paper in which a new perspective was brought on the genus or on one of the objects to which this notion applies. The author was motivated by the belief that a subject may best be understood and communicated by studying its broad lines of development, feeling the way one arrives at the definitions of its fundamental notions, and appreciating the amount of effort spent in order to explore its phenomena. | Preface.-Introduction.-Algebraic curves.-Algebraic surfaces.-Higher dimensions.-Epilogue.-Bibliography.-Index. | Format: Paperback | Language/Sprache: english | 336 gr | 235x156x10 mm | 184 pp. Nº de ref. del artículo: K9783319423111

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Descripción Springer. Condición: New. Translation from the French Series: Lecture Notes in Mathematics. Num Pages: 201 pages, 20 black & white illustrations, biography. BIC Classification: PBMW; PBPD; PBX. Category: (P) Professional & Vocational. Dimension: 157 x 236 x 17. Weight in Grams: 326. . 2016. 1st ed. 2016. Paperback. . . . . Books ship from the US and Ireland. Nº de ref. del artículo: V9783319423111

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Descripción Springer-Verlag Gmbh Sep 2016, 2016. Taschenbuch. Condición: Neu. Neuware - Exploring several of the evolutionary branches of the mathematical notion of genus, this book traces the idea from its prehistory in problems of integration, through algebraic curves and their associated Riemann surfaces, into algebraic surfaces, and finally into higher dimensions. Its importance in analysis, algebraic geometry, number theory and topology is emphasized through many theorems. Almost every chapter is organized around excerpts from a research paper in which a new perspective was brought on the genus or on one of the objects to which this notion applies. The author was motivated by the belief that a subject may best be understood and communicated by studying its broad lines of development, feeling the way one arrives at the definitions of its fundamental notions, and appreciating the amount of effort spent in order to explore its phenomena. 184 pp. Englisch. Nº de ref. del artículo: 9783319423111

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