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
Resultados de la búsqueda para Advanced Linear Algebra: v.135 (Graduate Texts in Mathematic...
Imagen de archivo
Advanced Linear Algebra (Graduate Texts in Mathematics, Band 135).
Librería: Antiquariat Bernhardt, Kassel, Alemania
Calificación del vendedor: 5 de 5 estrellas
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
Cantidad disponible: 1 disponibles
Imagen del vendedor
Advanced Linear Algebra, Second Edition (Graduate Texts in Mathematics, 135)
Publicado por
Springer, Irvine, California, U.S.A., 2005
ISBN 10: 0387247661
ISBN 13: 9780387247663
Antiguo o usado
Tapa dura
Original o primera edición
Librería: PsychoBabel & Skoob Books, Didcot, Reino Unido
Calificación del vendedor: 5 de 5 estrellas
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
Cantidad disponible: 1 disponibles