Artículos relacionados a Advanced Linear Algebra: v.135 (Graduate Texts in Mathematic...
Sinopsis
This is a graduate textbook covering an especially broad range of topics. The first part of the book contains a careful but rapid discussion of the basics of linear algebra, including vector spaces, linear transformations, quotient spaces, and isomorphism theorems. The author then proceeds to modules, emphasizing a comparison with vector spaces. A thorough discussion of inner product spaces, eigenvalues, eigenvectors, and finite dimensional spectral theory follows, culminating in the finite dimensional spectral theorem for normal operators. The second part of the book is a collection of topics, including metric vector spaces, metric spaces, Hilbert spaces, tensor products, and affine geometry. The last chapter discusses the umbral calculus, an area of modern algebra with important applications.The second edition contains two new chapters: a chapter on convexity, separation and positive solutions to linear systems and a chapter on the QR decomposition, singular values and pseudoinverses. The treatments of tensor products and the umbral calculus have been greatly expanded and there is now a discussion of determinants (in the chapter on tensor products), the complexification of a real vector space, Schur's lemma and Gersgorin disks.
"Sinopsis" puede pertenecer a otra edición de este libro.
Críticas
From the reviews of the first edition: "a ] The book is very well written and has a good set of exercises. It is a suitable choice as a graduate textbook as well as a reference book." A.A. Jafarian for ZentralblattMATH From the reviews of the second edition: "In this 2nd edition, the author has rewritten the entire book and has added more than 100 pages of new materials. a ] As in the previous edition, the text is well written and gives a thorough discussion of many topics of linear algebra and related fields. a ] the exercises are rewritten and expanded. a ] Overall, I found the book a very useful one. a ] It is a suitable choice as a graduate text or as a reference book." (Ali-Akbar Jafarian, Zentralblatt MATH, Vol. 1085, 2006) "This is a formidable volume, a compendium of linear algebra theory, classical and modern a ] . The development of the subject is elegant a ] . The proofs are neat a ] . The exercise sets are good, with occasional hints given for the solution of trickier problems. a ] It represents linear algebra and does so comprehensively." (Henry Ricardo, MathDL, May, 2005) From the reviews of the first edition: "? The book is very well written and has a good set of exercises. It is a suitable choice as a graduate textbook as well as a reference book." A.A. Jafarian for ZentralblattMATH From the reviews of the second edition: "In this 2nd edition, the author has rewritten the entire book and has added more than 100 pages of new materials. ? As in the previous edition, the text is well written and gives a thorough discussion of many topics of linear algebra and related fields. ? the exercises are rewritten and expanded. ? Overall, I found the book a very useful one. ? It is a suitable choice as a graduate text or as a reference book." (Ali-Akbar Jafarian, Zentralblatt MATH, Vol. 1085, 2006) "This is a formidable volume, a compendium of linear algebra theory, classical and modern ? . The development of the subject is elegant ? . The proofs are neat ? . The exercise sets are good, with occasional hints given for the solution of trickier problems. ? It represents linear algebra and does so comprehensively." (Henry Ricardo, MathDL, May, 2005) From the reviews of the first edition: "??? The book is very well written and has a good set of exercises. It is a suitable choice as a graduate textbook as well as a reference book." A.A. Jafarian for ZentralblattMATH From the reviews of the second edition: "In this 2nd edition, the author has rewritten the entire book and has added more than 100 pages of new materials. ??? As in the previous edition, the text is well written and gives a thorough discussion of many topics of linear algebra and related fields. ??? the exercises are rewritten and expanded. ??? Overall, I found the book a very useful one. ??? It is a suitable choice as a graduate text or as a reference book." (Ali-Akbar Jafarian, Zentralblatt MATH, Vol. 1085, 2006) "This is a formidable volume, a compendium of linear algebra theory, classical and modern ??? . The development of the subject is elegant ??? . The proofs are neat ??? . The exercise sets are good, with occasional hints given for the solution of trickier problems. ??? It represents linear algebra and does so comprehensively." (Henry Ricardo, MathDL, May, 2005) From the reviews of the first edition: "??? The book is very well written and has a good set of exercises. It is a suitable choice as a graduate textbook as well as a reference book." A.A. Jafarian for ZentralblattMATH From the reviews of the second edition: "In this 2nd edition, the author has rewritten the entire book and has added more than 100 pages of new materials. ??? As in the previous edition, the text is well written and gives a thorough discussion of many topics of linear algebra and related fields. ??? the exercises are rewritten and expanded. ??? Overall, I found the book a very useful one. ??? It is a suitable choice as a graduate text or as a reference book." (Ali-Akbar Jafarian, Zentralblatt MATH, Vol. 1085, 2006) "This is a formidable volume, a compendium of linear algebra theory, classical and modern ??? . The development of the subject is elegant ??? . The proofs are neat ??? . The exercise sets are good, with occasional hints given for the solution of trickier problems. ??? It represents linear algebra and does so comprehensively." (Henry Ricardo, MathDL, May, 2005) From the reviews of the first edition: " The book is very well written and has a good set of exercises. It is a suitable choice as a graduate textbook as well as a reference book." A.A. Jafarian for ZentralblattMATH From the reviews of the second edition: "In this 2nd edition, the author has rewritten the entire book and has added more than 100 pages of new materials. As in the previous edition, the text is well written and gives a thorough discussion of many topics of linear algebra and related fields. the exercises are rewritten and expanded. Overall, I found the book a very useful one. It is a suitable choice as a graduate text or as a reference book." (Ali-Akbar Jafarian, Zentralblatt MATH, Vol. 1085, 2006) From the reviews of the first edition: " The book is very well written and has a good set of exercises. It is a suitable choice as a graduate textbook as well as a reference book." A.A. Jafarian for ZentralblattMATH From the reviews of the second edition: "In this 2nd edition, the author has rewritten the entire book and has added more than 100 pages of new materials. As in the previous edition, the text is well written and gives a thorough discussion of many topics of linear algebra and related fields. the exercises are rewritten and expanded. Overall, I found the book a very useful one. It is a suitable choice as a graduate text or as a reference book." (Ali-Akbar Jafarian, Zentralblatt MATH, Vol. 1085, 2006)
Reseña del editor
This is a graduate textbook covering an especially broad range of topics. The first part of the book contains a careful but rapid discussion of the basics of linear algebra, including vector spaces, linear transformations, quotient spaces, and isomorphism theorems. The author then proceeds to modules, emphasizing a comparison with vector spaces. A thorough discussion of inner product spaces, eigenvalues, eigenvectors, and finite dimensional spectral theory follows, culminating in the finite dimensional spectral theorem for normal operators. The second part of the book is a collection of topics, including metric vector spaces, metric spaces, Hilbert spaces, tensor products, and affine geometry. The last chapter discusses the umbral calculus, an area of modern algebra with important applications. The second edition contains two new chapters: a chapter on convexity, separation and positive solutions to linear systems and a chapter on the QR decomposition, singular values and pseudoinverses. The treatments of tensor products and the umbral calculus have been greatly expanded and there is now a discussion of determinants (in the chapter on tensor products), the complexification of a real vector space, Schur's lemma and Gersgorin disks.
"Sobre este título" puede pertenecer a otra edición de este libro.
- EditorialSpringer Verlag
- Año de publicación2005
- ISBN 10 0387247661
- ISBN 13 9780387247663
- EncuadernaciónTapa dura
- IdiomaInglés
- Número de edición2
- Número de páginas520
- Contacto del fabricanteno disponible
EUR 39,91
EUR 31,16 gastos de envío desde Estados Unidos de America a España
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Advanced Linear Algebra (Graduate Texts in Mathematics)
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hardcover. Condición: Very Good. 2nd. Springer, 2nd Ed. Advanced Linear Algebra (2nd Edition). Hardcover. From the personal collection of a former Computer, Engineering & Electrical Dept. Professor, Univ of Davis CA. Name stamps/name inside covers. Otherwise, appears to be free of markings. No jacket. Boards in VG condition, light edge, corner and shelf wear. No rips, tears, stains. Binding solid and square. Photos are of actual book you will receive. Ships quickly and with care. Advanced Linear Algebra (2nd Edition) by Steven Roman is a comprehensive graduate-level textbook that explores both classical linear algebra and advanced topics including spectral theory, tensor products, Hilbert spaces, and the umbral calculus. Nº de ref. del artículo: 0VG041925M5
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Advanced Linear Algebra (Graduate Texts in Mathematics, Band 135).
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gebundene Ausgabe. Condición: Sehr gut. Graduate Texts in Mathematics, Band 135. Zust: Gutes Exemplar. XVI, 482 Seiten, Englisch 814g. Nº de ref. del artículo: 493769
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Advanced Linear Algebra, Second Edition (Graduate Texts in Mathematics, 135)
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Springer, Irvine, California, U.S.A., 2005
ISBN 10: 0387247661
ISBN 13: 9780387247663
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Hardcover. Condición: Very Good. Estado de la sobrecubierta: No Dust Jacket. Second Edition. Graduate Texts in Mathematics, 135. Hardcover in very good condition. A couple of minor markings to page block face, no other notable flaws. Pages are clean, and text and illustrations are clear. TH. Used. Nº de ref. del artículo: 531464
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