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1. |
Record Nr. |
UNINA9910480416003321 |
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Autore |
Rotman Joseph |
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Titolo |
Galois Theory [[electronic resource] /] / by Joseph Rotman |
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Pubbl/distr/stampa |
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New York, NY : , : Springer New York : , : Imprint : Springer, , 1990 |
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ISBN |
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Edizione |
[1st ed. 1990.] |
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Descrizione fisica |
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1 online resource (XII, 112 p.) |
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Collana |
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Universitext, , 0172-5939 |
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Disciplina |
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Soggetti |
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Group theory |
Group Theory and Generalizations |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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Bibliographic Level Mode of Issuance: Monograph |
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Nota di bibliografia |
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Includes bibliographical references and index. |
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Nota di contenuto |
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Rings -- Homomorphisms and Ideals -- Quotient Rings -- Polynomial Rings over Fields -- Prime Ideals and Maximal Ideals -- Finite Fields -- Irreducible Polynomials -- Classical Formulas -- Splitting Fields -- Solvability by Radicals -- The Galois Group -- Primitive Roots of Unity -- Insolvability of the Quintic -- Independence of Characters -- Galois Extensions -- Fundamental Theorem of Galois Theory -- Applications -- Galois’s Great Theorem -- Discriminants -- Galois Groups of Quadratics, Cubics, and Quartics -- Epilogue -- Appendix 1. Group Theory Dictionary -- Appendix 2. Group Theory Used in the Text -- Appendix 3. Ruler-Compass Constructions -- Appendix 4. Old-fashioned Galois Theory -- References. |
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Sommario/riassunto |
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This text offers a clear, efficient exposition of Galois Theory with exercises and complete proofs. Topics include: Cardano's formulas; the Fundamental Theorem; Galois' Great Theorem (solvability for radicals of a polynomial is equivalent to solvability of its Galois Group); and computation of Galois group of cubics and quartics. There are appendices on group theory and on ruler-compass constructions. Developed on the basis of a second-semester graduate algebra course, following a course on group theory, this book will provide a concise introduction to Galois Theory suitable for graduate students, either as a text for a course or for study outside the classroom. |
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2. |
Record Nr. |
UNINA9910688493303321 |
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Titolo |
Innovations In Assisted Reproduction Technology / / edited by Nidhi Sharma [and three others] |
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Pubbl/distr/stampa |
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London : , : IntechOpen, , 2020 |
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Descrizione fisica |
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1 online resource (248 pages) : illustrations |
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Disciplina |
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Soggetti |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Sommario/riassunto |
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This book deals with all recent advances in clinical and laboratory aspects of assisted reproductive therapy (ART). It elaborates on innovations and developments in the field that have the potential to improve ART outcomes. Chapters cover such topics as newer techniques for evaluating sperm, DNA, and ovarian reserve, including proteomic analysis, sonoendocrinology, preparation and administration of platelet-rich plasma, and in vitro maturation. Authors also address the structure, function, and role of low molecular weight ligands of gonadotropins, as well as the ethical and legal aspects of ART. |
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