2012, ISBN: 9783642309939
Gebunden, 548 Seiten, 241mm x 160mm x 35mm, Sprache(n): eng Clearly written and easy to readContains also rather deep and not trivial subjects and theorems and can also be useful for prof… Más…
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2012, ISBN: 9783642309939
[ED: Gebunden], [PU: Springer Berlin], This book on linear algebra and geometry is based on a course given by renowned academician I.R. Shafarevich at Moscow State University. The book be… Más…
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2012, ISBN: 9783642309939
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2012, ISBN: 3642309933
2013 Gebundene Ausgabe Algebra, Geometrie, Raumlehre, groups,rings,modules; linearalgerba; Matrix; projectivespace; Vectorspace; MatrixTheory, mit Schutzumschlag 11, [PU:Springer Berlin… Más…
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2013, ISBN: 9783642309939
Berlin, Heidelberg, New York: Springer, 2013. Cloth/Laminated Boards. Very Good/No d/j as Published. 8vo - over 7¾" - 9¾" tall. Type: Book N.B. Sm… Más…
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2012, ISBN: 9783642309939
Gebunden, 548 Seiten, 241mm x 160mm x 35mm, Sprache(n): eng Clearly written and easy to readContains also rather deep and not trivial subjects and theorems and can also be useful for prof… Más…
Shafarevich, Igor R.:
Linear Algebra and Geometry / Igor R. Shafarevich (u. a.) / Buch / HC runder Rücken kaschiert / XXII / Englisch / 2012 / Springer Berlin / EAN 9783642309939 - encuadernado, tapa blanda2012, ISBN: 9783642309939
[ED: Gebunden], [PU: Springer Berlin], This book on linear algebra and geometry is based on a course given by renowned academician I.R. Shafarevich at Moscow State University. The book be… Más…
2012
ISBN: 9783642309939
Pasta dura
[ED: Gebunden], [PU: Springer Berlin Heidelberg], Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Clearly written and easy to readContains… Más…
2012, ISBN: 3642309933
2013 Gebundene Ausgabe Algebra, Geometrie, Raumlehre, groups,rings,modules; linearalgerba; Matrix; projectivespace; Vectorspace; MatrixTheory, mit Schutzumschlag 11, [PU:Springer Berlin… Más…
2013, ISBN: 9783642309939
Berlin, Heidelberg, New York: Springer, 2013. Cloth/Laminated Boards. Very Good/No d/j as Published. 8vo - over 7¾" - 9¾" tall. Type: Book N.B. Sm… Más…
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Detalles del libro - Linear Algebra and Geometry
EAN (ISBN-13): 9783642309939
ISBN (ISBN-10): 3642309933
Tapa dura
Tapa blanda
Año de publicación: 2013
Editorial: Springer Berlin
526 Páginas
Peso: 0,954 kg
Idioma: Englisch
Libro en la base de datos desde 2009-04-18T19:04:28-05:00 (Mexico City)
Página de detalles modificada por última vez el 2024-02-13T10:44:06-06:00 (Mexico City)
ISBN/EAN: 9783642309939
ISBN - escritura alterna:
3-642-30993-3, 978-3-642-30993-9
Mode alterno de escritura y términos de búsqueda relacionados:
Autor del libro: remizov, sha, remi, shafarevich igor, shafa, shafarevic, kramer
Título del libro: linea, linear algebra done right, algebra geometry, geo
Datos del la editorial
Autor: Igor R. Shafarevich; Alexey O. Remizov
Título: Linear Algebra and Geometry
Editorial: Springer; Springer Berlin
526 Páginas
Año de publicación: 2012-08-24
Berlin; Heidelberg; DE
Impreso en
Traductor: David P Kramer; Lena Nekludova
Peso: 0,980 kg
Idioma: Inglés
69,54 € (DE)
71,49 € (AT)
77,00 CHF (CH)
POD
XXII, 526 p.
BB; Linear and Multilinear Algebras, Matrix Theory; Hardcover, Softcover / Mathematik/Arithmetik, Algebra; Algebra; Verstehen; Mathematik; groups, rings, modules; linear algerba; matrix; projective space; vector space; matrix theory; Algebra; Geometry; Associative Rings and Algebras; Linear Algebra; Algebra; Geometry; Associative Rings and Algebras; Geometrie; BC; EA
This book on linear algebra and geometry is based on a course given by renowned academician I.R. Shafarevich at Moscow State University. The book begins with the theory of linear algebraic equations and the basic elements of matrix theory and continues with vector spaces, linear transformations, inner product spaces, and the theory of affine and projective spaces. The book also includes some subjects that are naturally related to linear algebra but are usually not covered in such courses: exterior algebras, non-Euclidean geometry, topological properties of projective spaces, theory of quadrics (in affine and projective spaces), decomposition of finite abelian groups, and finitely generated periodic modules (similar to Jordan normal forms of linear operators). Mathematical reasoning, theorems, and concepts are illustrated with numerous examples from various fields of mathematics, including differential equations and differential geometry, as well as from mechanics and physics.
Preface.- Preliminaries.- 1. Linear Equations.- 2. Matrices and Determinants.- 3. Vector Spaces.- 4. Linear Transformations of a Vector Space to Itself.- 5. Jordan Normal Form.- 6. Quadratic and Bilinear Forms.- 7. Euclidean Spaces.- 8. Affine Spaces.- 9. Projective Spaces.- 10. The Exterior Product and Exterior Algebras.- 11. Quadrics.- 12. Hyperbolic Geometry.- 13. Groups, Rings, and Modules.- 14. Elements of Representation Theory.- Historical Note.- References.- Index
From the reviews:
“Shafarevich (Russian Academy of Sciences) and Remizov (École Polytechnique, CNRS, France) provide insightful comments that apply not only to linear algebra but also to mathematics in general. … The book is quite readable … . Summing Up: Recommended. Upper-division undergraduates, graduate students, researchers/faculty, and professionals.” (J. R. Burke, Choice, Vol. 50 (8), April, 2013)
“This beautiful textbook not only reflects I. R. Shafarevich’s unrivalled mastery of mathematical teaching and expository writing, but also the didactic principles of the Russian mathematical school in teaching basic courses such as linear algebra and analytic geometry. … made accessible to a wide audience of international readers, and to further generations of students, too. … this book may be regarded as a historical document in the relevant textbook literature … .” (Werner Kleinert, Zentralblatt MATH, Vol. 1256, 2013)
This book on linear algebra and geometry is based on a course given by renowned academician I.R. Shafarevich at Moscow State University. The book begins with the theory of linear algebraic equations and the basic elements of matrix theory and continues with vector spaces, linear transformations, inner product spaces, and the theory of affine and projective spaces. The book also includes some subjects that are naturally related to linear algebra but are usually not covered in such courses: exterior algebras, non-Euclidean geometry, topological properties of projective spaces, theory of quadrics (in affine and projective spaces), decomposition of finite abelian groups, and finitely generated periodic modules (similar to Jordan normal forms of linear operators). Mathematical reasoning, theorems, and concepts are illustrated with numerous examples from various fields of mathematics, including differential equations and differential geometry, as well as from mechanics and physics.
Clearly written and easy to read
Contains also rather deep and not trivial subjects and theorems and can also be useful for professionals
Good introduction to the subject
Numerous examples and applications of pure mathematical notions
I.R. Shafarevich is an outstanding mathematician and author of well-known books (e.g., "Basic Notions of Algebra")
Includes supplementary material: sn.pub/extras
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