05254nam 22006615 450 991102215750332120250930123424.09783031918414(electronic bk.)978303191840710.1007/978-3-031-91841-4(MiAaPQ)EBC32270595(Au-PeEL)EBL32270595(CKB)40410624500041(DE-He213)978-3-031-91841-4(EXLCZ)994041062450004120250823d2025 u| 0engurcnu||||||||txtrdacontentcrdamediacrrdacarrierIdeals, Varieties, and Algorithms An Introduction to Computational Algebraic Geometry and Commutative Algebra /by David A. Cox, John Little, Donal O'Shea5th ed. 2025.Cham :Springer Nature Switzerland :Imprint: Springer,2025.1 online resource (665 pages)Undergraduate Texts in Mathematics,2197-5604Print version: Cox, David A. Ideals, Varieties, and Algorithms Cham : Springer,c2025 9783031918407 Preface -- Notation for Sets and Functions -- 1 Geometry, Algebra, and Algorithms -- 2 Groebner Bases -- 3 Elimination Theory -- 4 The Algebra-Geometry Dictionary -- 5 Polynomial and Rational Functions on a Variety -- 6 Robotics and Automatic Geometric Theorem Proving -- 7 Invariant Theory of Finite Groups -- 8 Projective Algebraic Geometry -- 9 The Dimension of a Variety -- 10 Additional Groebner Basis Algorithms -- Appendix A Some Concepts from Algebra -- Appendix B Pseudocode -- Appendix C Computer Algebra Systems -- Appendix D Independent Projects -- References -- Index.This text covers topics in algebraic geometry and commutative algebra with careful attention to their practical and computational aspects. The first four chapters form the core of the book. A comprehensive chart in the Preface illustrates a variety of ways to proceed with the material once these chapters are covered. In addition to the fundamentals of algebraic geometry—the elimination theorem, the extension theorem, the closure theorem and the Nullstellensatz—there are chapters on polynomial and rational functions between varieties, robotics and geometric theorem proving, invariant theory of finite groups, projective algebraic geometry, dimension theory, and progress made over the last decades in computing Gröbner bases. The fifth edition builds on the fourth edition in two main ways. First, a number of typographical errors, found by readers and by the authors since 2018, have been corrected. Second, new material on toric varieties, monomial curves, and other topics of current interest in algebraic geometry has been added. This enhances the opportunities for active learning through new examples, new exercises, and new projects in Appendix D, all supplemented by additional references. The book also includes updated computer algebra material in Appendix C. The book may be used for a first or second course in undergraduate abstract algebra and, with some augmentation perhaps, for beginning graduate courses in algebraic geometry or computational commutative algebra. Prerequisites for the reader include linear algebra and a proof-oriented course. It is assumed that the reader has access to a computer algebra system. Appendix C describes features of Maple™, Mathematica® and SageMath, as well as other systems that are most relevant to the text. Pseudocode is used in the text; Appendix B carefully describes the pseudocode used. From the reviews of previous editions: “…The book is well-written. …The reviewer is sure that it will be an excellent guide to introduce further undergraduates in the algorithmic aspect of commutative algebra and algebraic geometry.” —Peter Schenzel, zbMATH, 2007 “I consider the book to be wonderful. … The exposition is very clear, there are many helpful pictures and there are a great many instructive exercises, some quite challenging … offers the heart and soul of modern commutative and algebraic geometry.” —The American Mathematical Monthly.Undergraduate Texts in Mathematics,2197-5604Geometry, AlgebraicCommutative algebraCommutative ringsLogic, Symbolic and mathematicalComputer softwareAlgebraic GeometryCommutative Rings and AlgebrasMathematical Logic and FoundationsMathematical SoftwareGeometry, Algebraic.Commutative algebra.Commutative rings.Logic, Symbolic and mathematical.Computer software.Algebraic Geometry.Commutative Rings and Algebras.Mathematical Logic and Foundations.Mathematical Software.516.3/5Cox David A58032Little John351000O'Shea Donal441007MiAaPQMiAaPQMiAaPQ9911022157503321Ideals, Varieties, and Algorithms4429440UNINA01902nam0 22004213i 450 VAN0029516720251105024453.312N978303110992820250618d2022 |0itac50 baengCH|||| |||||i e bcrAntibiofilm StrategiesCurrent and Future Applications to Prevent, Control and Eradicate Biofilmseditor Katharina Richter, Kasper Nørskov KraghChamSpringer2022XV, 573 p.ill.24 cm001VAN002724292001 Springer Series on Biofilms210 ChamSpringer2007-11CHChamVANL001889579Microbiologia22616.9041Microbiologia medica. Farmacoresistenza22KraghKasper N.VANV251197RichterKatharinaVANV251196Springer <editore>VANV108073650Kragh, K. N.Kragh, Kasper N.VANV251198Kasper N. KraghKragh, Kasper N.VANV251199Nørskov Kragh, KasperKragh, Kasper N.VANV251200Kragh, Kasper NørskovKragh, Kasper N.VANV251201Kragh, K.N.Kragh, Kasper N.VANV251202ITSOL20251107RICAhttps://link.springer.com/book/10.1007/978-3-031-10992-8E-book – Accesso al full-text attraverso riconoscimento IP di Ateneo, proxy e/o ShibbolethBIBLIOTECA DEL DIPARTIMENTO DI SCIENZE E TECNOLOGIE AMBIENTALI BIOLOGICHE E FARMACEUTICHEIT-CE0101VAN17NVAN00295167BIBLIOTECA DEL DIPARTIMENTO DI SCIENZE E TECNOLOGIE AMBIENTALI BIOLOGICHE E FARMACEUTICHE17CONS e-book 2396 17BIB2396/597 597 20250618 Antibiofilm Strategies2939524UNICAMPANIA