ISBN: 9783642309946
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 algebrai… Altro …
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ISBN: 9783642309946
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 algebrai… Altro …
2013, ISBN: 9783642309946
eBooks, eBook Download (PDF), 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 begin… Altro …
ISBN: 9783642309946
Linear Algebra and Geometry ab 50.49 € als pdf eBook: . Aus dem Bereich: eBooks, Fachthemen & Wissenschaft, Mathematik, Medien > Bücher nein eBook als pdf eBooks > Fachthemen & Wissenscha… Altro …
ISBN: 9783642309946
Linear Algebra and Geometry: ab 50.49 € eBooks > Fachthemen & Wissenschaft > Mathematik Springer-Verlag GmbH eBook als pdf, Springer-Verlag GmbH
2013, ISBN: 9783642309946
eBooks, eBook Download (PDF), 2013, [PU: Springer Berlin], Springer Berlin, 2013
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Informazioni dettagliate del libro - Linear Algebra and Geometry
EAN (ISBN-13): 9783642309946
ISBN (ISBN-10): 3642309941
Anno di pubblicazione: 2012
Editore: Springer Berlin
526 Pagine
Lingua: rus/Russisch
Libro nella banca dati dal 2012-11-27T09:41:48+01:00 (Zurich)
Pagina di dettaglio ultima modifica in 2024-02-09T09:25:46+01:00 (Zurich)
ISBN/EAN: 3642309941
ISBN - Stili di scrittura alternativi:
3-642-30994-1, 978-3-642-30994-6
Stili di scrittura alternativi e concetti di ricerca simili:
Autore del libro : sha, remi, shafarevich igor, remizov, shafa, shafarevic
Titolo del libro: linear, linea, algebra geometry
Dati dell'editore
Autore: Igor R. Shafarevich; Alexey O. Remizov
Titolo: Linear Algebra and Geometry
Editore: Springer; Springer Berlin
526 Pagine
Anno di pubblicazione: 2012-08-23
Berlin; Heidelberg; DE
Stampato / Fatto in
Traduttore: David P Kramer; Lena Nekludova (Russo)
Lingua: Inglese
50,28 € (DE)
51,70 € (AT)
55,50 CHF (CH)
Available
XXII, 526 p.
EA; E107; eBook; Nonbooks, PBS / Mathematik/Arithmetik, Algebra; Algebra; Verstehen; groups, rings, modules; linear algerba; matrix; projective space; vector space; matrix theory; B; Linear and Multilinear Algebras, Matrix Theory; Algebra; Geometry; Associative Rings and Algebras; Linear Algebra; Algebra; Geometry; Associative Rings and Algebras; Mathematics and Statistics; Geometrie; BB
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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