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Discovering mathematics wit...

Discovering mathematics with Magma : reducing the abstract to the concrete

Bosma, Wieb

Cannon, John Prof

Springer 2006

With a design based on the ontology and semantics of algebra, Magma enables users to rapidly formulate and perform calculations in the more abstract parts of mathematics. This book introduces the role Magma plays in advanced mathematical research through 14 case studies which, in most cases, describe computations underpinning theoretical results

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monografia Rebiun25345380 https://catalogo.rebiun.org/rebiun/record/Rebiun25345380 m o d cr cn||||||||| 081017s2006 gw ob 001 0 eng d GBA695737 bnb 176631559 180752370 239711929 320963843 401490049 605684798 613679801 648298117 739132258 756424608 880096100 960757587 961062172 961456762 962155839 962452095 994752354 1035702398 1058038261 1078835532 1097294401 1097330055 1110844239 1110955453 1112601716 9783540376347 3540376348 6610951748 9786610951741 3540376321 9783540376323 10.1007/978-3-540-37634-7 doi AU@ 000042372624 DEBSZ 396213553 DKDLA 820120-katalog:000662734 NLGGC 384201024 NZ1 12055790 978-3-540-37632-3 Springer http://www.springerlink.com GW5XE eng pn GW5XE IDEBK OCLCQ N$T YDXCP BTCTA CEF OTZ LGG CNTRU E7B OCLCQ MHW OCLCQ U5D OCLCO OCLCQ EBLCP OCLCQ A7U OCLCQ OCLCF DEBSZ OCLCQ OCLCO AZU SLY OCLCQ OCLCO OCLCQ OCLCO Z5A LIP OCLCQ ESU OCLCQ VT2 STF UAB OCLCQ U3W AU@ OCLCQ WYU ICG YOU CANPU UKAHL OCLCQ DCT ZHM ERF OCLCQ MAT 002010 bisacsh UFM. bicssc 512.0285 22 31.20 bcl 31.14 bcl 54.71 bcl O15-37 clc Discovering mathematics with Magma reducing the abstract to the concrete Wieb Bosma, John Cannon (eds.). Berlin New York Springer 2006 Berlin New York Berlin New York Springer 1 online resource (xxiv, 374 pages) 1 online resource (xxiv, 374 pages) Text txt rdacontent computer c rdamedia online resource cr rdacarrier text file PDF rda Algorithms and computation in mathematics 1431-1550 v. 19 Includes bibliographical references and index Cover -- Contents -- Preface -- Magma: The project -- Discovering mathematics: About this volume -- How to read the Magma code? -- Some computational experiments in number theory -- Applications of the class field theory of global fields -- Some ternary Diophantine equations of signature (n, n, 2) -- Studying the Birch and Swinnerton-Dyer conjecture for modular abelian varieties using Magma -- Computing with the analytic Jacobian of a genus 2 curve -- Graded rings and special K3 surfaces -- Constructing the split octonions -- Support varieties for modules -- When is projectivity detected on subalgebras? -- Cohomology and group extensions in Magma -- Computing the primitive permutation groups of degree less than 1000 -- Computer aided discovery of a fast algorithm for testing conjugacy in braid groups -- Searching for linear codes with large minimum distance -- Colouring planar graphs -- Appendix: The Magma language -- Index -- Last Page With a design based on the ontology and semantics of algebra, Magma enables users to rapidly formulate and perform calculations in the more abstract parts of mathematics. This book introduces the role Magma plays in advanced mathematical research through 14 case studies which, in most cases, describe computations underpinning theoretical results English Álgebra- Data processing Algèbre- Informatique MATHEMATICS- Algebra- Abstract. Álgebra- Data processing. Álgebra- Data processing. Álgebra Electronic books Bosma, Wieb Cannon, John Prof Springer e-books Springer e-books Print version Discovering mathematics with Magma. Berlin ; New York : Springer, 2006 3540376321 9783540376323 (DLC) 2006931477 (OCoLC)74650689 Algorithms and computation in mathematics v. 19. 1431-1550

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monografia Rebiun25345380 https://catalogo.rebiun.org/rebiun/record/Rebiun25345380 m o d cr cn||||||||| 081017s2006 gw ob 001 0 eng d GBA695737 bnb 176631559 180752370 239711929 320963843 401490049 605684798 613679801 648298117 739132258 756424608 880096100 960757587 961062172 961456762 962155839 962452095 994752354 1035702398 1058038261 1078835532 1097294401 1097330055 1110844239 1110955453 1112601716 9783540376347 3540376348 6610951748 9786610951741 3540376321 9783540376323 10.1007/978-3-540-37634-7 doi AU@ 000042372624 DEBSZ 396213553 DKDLA 820120-katalog:000662734 NLGGC 384201024 NZ1 12055790 978-3-540-37632-3 Springer http://www.springerlink.com GW5XE eng pn GW5XE IDEBK OCLCQ N$T YDXCP BTCTA CEF OTZ LGG CNTRU E7B OCLCQ MHW OCLCQ U5D OCLCO OCLCQ EBLCP OCLCQ A7U OCLCQ OCLCF DEBSZ OCLCQ OCLCO AZU SLY OCLCQ OCLCO OCLCQ OCLCO Z5A LIP OCLCQ ESU OCLCQ VT2 STF UAB OCLCQ U3W AU@ OCLCQ WYU ICG YOU CANPU UKAHL OCLCQ DCT ZHM ERF OCLCQ MAT 002010 bisacsh UFM. bicssc 512.0285 22 31.20 bcl 31.14 bcl 54.71 bcl O15-37 clc Discovering mathematics with Magma reducing the abstract to the concrete Wieb Bosma, John Cannon (eds.). Berlin New York Springer 2006 Berlin New York Berlin New York Springer 1 online resource (xxiv, 374 pages) 1 online resource (xxiv, 374 pages) Text txt rdacontent computer c rdamedia online resource cr rdacarrier text file PDF rda Algorithms and computation in mathematics 1431-1550 v. 19 Includes bibliographical references and index Cover -- Contents -- Preface -- Magma: The project -- Discovering mathematics: About this volume -- How to read the Magma code? -- Some computational experiments in number theory -- Applications of the class field theory of global fields -- Some ternary Diophantine equations of signature (n, n, 2) -- Studying the Birch and Swinnerton-Dyer conjecture for modular abelian varieties using Magma -- Computing with the analytic Jacobian of a genus 2 curve -- Graded rings and special K3 surfaces -- Constructing the split octonions -- Support varieties for modules -- When is projectivity detected on subalgebras? -- Cohomology and group extensions in Magma -- Computing the primitive permutation groups of degree less than 1000 -- Computer aided discovery of a fast algorithm for testing conjugacy in braid groups -- Searching for linear codes with large minimum distance -- Colouring planar graphs -- Appendix: The Magma language -- Index -- Last Page With a design based on the ontology and semantics of algebra, Magma enables users to rapidly formulate and perform calculations in the more abstract parts of mathematics. This book introduces the role Magma plays in advanced mathematical research through 14 case studies which, in most cases, describe computations underpinning theoretical results English Álgebra- Data processing Algèbre- Informatique MATHEMATICS- Algebra- Abstract. Álgebra- Data processing. Álgebra- Data processing. Álgebra Electronic books Bosma, Wieb Cannon, John Prof Springer e-books Springer e-books Print version Discovering mathematics with Magma. Berlin ; New York : Springer, 2006 3540376321 9783540376323 (DLC) 2006931477 (OCoLC)74650689 Algorithms and computation in mathematics v. 19. 1431-1550