Selected Topics in Algebra: and its Interrelations with Logic, Number Theory and Algebraic Geometry: Mathematics and its Applications, cartea 12
Autor I. Bucuren Limba Engleză Paperback – 16 mai 2012
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Specificații
ISBN-13: 9789400962910
ISBN-10: 9400962916
Pagini: 420
Ilustrații: VIII, 406 p.
Dimensiuni: 155 x 235 x 22 mm
Greutate: 0.59 kg
Ediția:Softcover reprint of the original 1st ed. 1984
Editura: SPRINGER NETHERLANDS
Colecția Springer
Seria Mathematics and its Applications
Locul publicării:Dordrecht, Netherlands
ISBN-10: 9400962916
Pagini: 420
Ilustrații: VIII, 406 p.
Dimensiuni: 155 x 235 x 22 mm
Greutate: 0.59 kg
Ediția:Softcover reprint of the original 1st ed. 1984
Editura: SPRINGER NETHERLANDS
Colecția Springer
Seria Mathematics and its Applications
Locul publicării:Dordrecht, Netherlands
Public țintă
ResearchCuprins
I. Quadratic Forms and Arithmetical Symbols.- I. Elements of Quadratic Forms Theory Quadratic Forms over a Field k of Characteristic ? 2.- II. Symbols. Elements of the Theory of the Group K2(A).- II. Methods of Logic and Algorithmic Methods in Algebra.- §1. Countable Sets.- §2. The Notion of Lattice.- §3. The Algebra of Propositions.- §4. Formal Systems.- §5. Primitive Recursive Functions.- §6. Recursive Functions.- §7. Turing Machines.- §8. The Concept of Recursive (Algorithmic) Decidability.- §9. On the Formalist and the Constructive Point of View in Mathematics.- §10. Derived Terms in the Theory of Formal Systems.- §11. The Constructive Approach to Set Theory.- III. Introduction to Modern Algebraic Geometry.- §1. Generalities.- §2. The Spectrum of a Commutative Ring.- §3. Schemes. Chevalley Schemes.- §4. Elements of Projective Geometry.- §5. The Chevalley Scheme Associated to an Integral and Irreducible Scheme.- IV. Theory of Topoi.- I. General Theory of Topoi.- II. Theory of Lawvere-Tierney Topoi.- V. Elements of the Theory of Elliptic Curves.- I. Elliptic Curves Defined over the Complex Field.- II. Divisors.- VI. Algebraic Varieties over a Finite Field.- §1. The Zeta Function.- §2. Cohomology Theories.- §3. Weil’s Diophantine Conjectures.- VII. Elementary Theory of Non-Standard Real Numbers.- Appendix. On Local Rings with the Approximation Property.