2010, ISBN: 9780720406900

Gebundene Ausgabe

Discovery Publishing House Pvt. Ltd., 2010. Hardcover. New. This Book "Modern Algebra" has been written for the students of honours and post graduate students of all Indian Un… Mehr…

Discovery Publishing House Pvt. Ltd., 2010. Hardcover. New. This Book "Modern Algebra" has been written for the students of honours and post graduate students of all Indian Universities. This book is also useful to the candidate of appearing in various competitions like pre-engineering/ I.A.S./P.C.S. etc. This book contain group, Rings, Vector Space etc. This book contains complete theory, Large number of solved examples. At the end of each chapter exercise containing large number of unsolved questions are given. Contents, 1. Rings : Introduction, Various Type of Ring, Elementary Properties of a Ring, Integral Multiples of the Elements of a Ring, Some Special Types of Rings, Rings with or without Zero Divisors, Cancellation Laws in a Ring, Integral Domain, Fields, Division, Rings, Integral, Domain, Division Ring or Skew Field, Field, Relation of Isomorphism in the Set of all Rings, Properties of Isomorphism of Rings, Transference of Ring Structure, Smallest Subring Containing a Given Subset of a Ring, Subfields, Characteristic of a Ring, Characteristic of Field, Ordered Integral Domains, Ideals, Smallest Left Ideal Containing a Given Subset 2. VECTOR SPACE : Introduction, Elementary Basic Concept, General Properties of Vector Spaces, Vector Subspaces, Algebra of Subspace, Linear Combination of Vectors : Linear Span of a Set, Linear Sum of Two Subspaces, Linear Dependence and Linear Independence of Vectors, Some Theorems of Linear Dependence and Linear Independence, Basis of Vector Space, Finite Dimensional Vector Space, Some Properties of Finite Dimensional Vector Spaces, Homomorphism of Vector Spaces or Linear Transformations, Isomorphism of Vector Space, Direct Sum of Spaces, Coordinates 3. RING (CONTINUED) : Divisibility of Polynomials over a Field, Division Algorithm for Polynomials Over a Field, Euclidean Algorithm for Polynomials Over a Field, Unique Factorization Domain, The Unique Factorization Theorem For Polynomials Over a Field, Value of a Polynomial At X = C, Quotient Rings or Rings of Residue Classes, Homomorphism of Rings. Kernel of a Ring Homomorphism, Maximal Ideal, Some More Results on Ideals, Prime Ideals, Euclidean Rings or Euclidean Domains, Properties of Euclidean Rings, Ideal Generated by a Given Subset of a Ring, Principal Ideal Ring, Divisibility in an Integral Domain, Proper and Improper Divisors, Relatively Prime Elements, Degree of Polynomial, Degree of the Sum and the Product of Two Polynomials, Ring of Polynomials, Polynomials Over a Integral Domain 4. LOGICS : Introduction, Statement, Truth Value of a Statement, Equivalent Statements, Simple Statement, Compound Statement, Logic, Logical Connectives, Argument, Laws of Algebra of Proposition, Tautology and Fallacy, Mathematical System, Proofs, Methods of Proof, Normal Forms, Propositions over a Universe, Quantifiers Printed Pages: 296., Discovery Publishing House Pvt. Ltd., 2010, 6, Amsterdam: North-Holland Pub. Co./Elsevier, 1956. Ex-Lib. Paperback. Good/None. Studies in logic and the foundations of mathematics Light yellow wraps are lightly waterstained and soiled, with a small scar on front where a tape was removed. Bottom front corner is rubbed. Scars to both pastedowns where bookplate/envelope removed. Blindstamp of Oberlin College Library on title page. A 6-digit number stamped in blue on copyright page. Text is unmarked. Binding is sound. 8vo. BOOK INFO: Editors L. E. J. Brouwer, E. W. Beth, and A. Heyting. 'It is known that a close integration of the methods of Abstract Algebra and of Mathematical Logic can lead to results which are of considerable interest to both subjects. The present work...is based on this fundamental idea. The book is chiefly concerned with completeness problems for algebraic structures. The two most interesting algebraic notions for which completeness has been established in the past are, the concept of an algebraically closed field of given characteristic, and the concept of a real-closed field. By introducing a mofified version of completeness, we are able to establish the property for further important types of structures, in particular for certain classes of algebraically closed fields with a non-archimedean valuation in an ordered abelian group. At the same time, we obtain new proofs of the completeness of the concepts mentioned earlier.' (from the introduction) Includes index. Bibliography: p. [126]-127., North-Holland Pub. Co./Elsevier, 1956, 2.5<

ISBN: 9780720406900

Amsterdam: North-Holland Pub. Co./Elsevier, 1956. Ex-Lib. Paperback. Good/None. Studies in logic and the foundations of mathematics Light yellow wraps are lightly waterstained and soil… Mehr…

Amsterdam: North-Holland Pub. Co./Elsevier, 1956. Ex-Lib. Paperback. Good/None. Studies in logic and the foundations of mathematics Light yellow wraps are lightly waterstained and soiled, with a small scar on front where a tape was removed. Bottom front corner is rubbed. Scars to both pastedowns where bookplate/envelope removed. Blindstamp of Oberlin College Library on title page. A 6-digit number stamped in blue on copyright page. Text is unmarked. Binding is sound. 8vo. BOOK INFO: Editors L. E. J. Brouwer, E. W. Beth, and A. Heyting. 'It is known that a close integration of the methods of Abstract Algebra and of Mathematical Logic can lead to results which are of considerable interest to both subjects. The present work...is based on this fundamental idea. The book is chiefly concerned with completeness problems for algebraic structures. The two most interesting algebraic notions for which completeness has been established in the past are, the concept of an algebraically closed field of given characteristic, and the concept of a real-closed field. By introducing a mofified version of completeness, we are able to establish the property for further important types of structures, in particular for certain classes of algebraically closed fields with a non-archimedean valuation in an ordered abelian group. At the same time, we obtain new proofs of the completeness of the concepts mentioned earlier.' (from the introduction) Includes index. Bibliography: p. [126]-127., North-Holland Pub. Co./Elsevier, 1956, 2.5<

1977, ISBN: 0720406900

[EAN: 9780720406900], Gebraucht, guter Zustand, [PU: North-Holland,], 140 Seiten Frisches Bibliotheksexemplar. Sprache: Englisch Gewicht in Gramm: 550, Books

1977, ISBN: 0720406900

Gebundene Ausgabe 140 Seiten Gebundene Ausgabe Frisches Bibliotheksexemplar. gebraucht; sehr gut, [PU:North-Holland,]

1977, ISBN: 9780720406900

140 Seiten Gebundene Ausgabe Frisches Bibliotheksexemplar. Versand D: 2,80 EUR , [PU:North-Holland,]