Picture 1 of 1
Stock photo
Picture 1 of 1
Stock photo
Linear Algebra and Geometry by Igor R. Shafarevich and Alexey O. Remizov (2012, Hardcover)
Endless Chapters (3348)
93.7% positive Feedback
Price:
US $60.99
Approximately£44.64
+ $26.93 postage
Returns:
30 days return. Buyer pays for return postage. If you use an eBay delivery label, it will be deducted from your refund amount.
Condition:
Thanks for viewing our Ebay listing! If you are not satisfied with your order, just contact us and we will address any issue. If you have any specific question about any of our items prior to ordering feel free to ask.
- Buy it nowLinear Algebra and Geometry by Shafarevich
Oops! Looks like we're having trouble connecting to our server.
Refresh your browser window to try again.
About this product
Product Identifiers
PublisherSpringer Berlin / Heidelberg
ISBN-103642309933
ISBN-139783642309939
eBay Product ID (ePID)117103031
Product Key Features
Number of PagesXxii, 526 Pages
LanguageEnglish
Publication NameLinear Algebra and Geometry
SubjectGeometry / Analytic, Algebra / Linear, Geometry / General, Algebra / General
Publication Year2012
TypeTextbook
Subject AreaMathematics
AuthorIgor R. Shafarevich, Alexey O. Remizov
FormatHardcover
Dimensions
Item Weight34.6 Oz
Item Length9.3 in
Item Width6.1 in
Additional Product Features
Intended AudienceScholarly & Professional
LCCN2012-946469
Dewey Edition23
ReviewsFrom 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 … this book may be regarded as a historical document in the relevant textbook literature … .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), 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), From the reviews: "Shafarevich (Russian Academy of Sciences) and Remizov (cole 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)
Number of Volumes1 vol.
IllustratedYes
Dewey Decimal512/.5
Original LanguageRussian
Table Of ContentPreface.- 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
SynopsisOpening with the theory of linear algebraic equations and basic elements of matrix theory, this book includes topics not usually covered: exterior algebras, non-Euclidean geometry, theory of quadrics and more. Offers examples from various mathematical fields., 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
LC Classification NumberQA184-205
All listings for this product
Be the first to write a review
