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This is essentially a book on linear algebra. But the approach is somewhat unusual in that we emphasise throughout the geometric aspect of the subject. The material is suitable for a course on linear algebra for matheÂ matics majors at North American Universities in their junior or senior year and at British Universities in their second or third year. However, in view of the structure of undergraduate courses in the United States, it is very possible that, at many institutions, the text may be found more suitable at the beginning graduate level. The book has two aims: to provide a basic course in linear algebra up to, and including, modules over a principal ideal domain; and to explain in rigorous language the intuitively familiar concepts of euclidean, affine, and projective geometry and the relations between them. It is increasingly recognised that linear algebra should be approached from a geometric point of VIew. This applies not only to mathematics majors but also to mathematically-oriented natural scientists and engineers.

- Series:
**Graduate Texts in Mathematics 49** - Author:
**K. W. Gruenberg, A. J. Weir (auth.)** - Year:
**1977** - Publisher:
**Springer-Verlag New York** - Language:
**English** - ISBN:
**978-1-4419-2806-1,978-1-4757-4101-8**

- File size:
**6 273 509** - Format:
**pdf**

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Â This two-volume textbook Comprehensive Mathematics for the Working Computer Scientist is a self-contained comprehensive presentation of mathematics including sets, numbers, graphs, algebra, logic, grammars, machines, linear geometry, calculus, ODEs, and...

This second volume of a comprehensive tour through mathematical core subjects for computer scientists completes the ?rst volume in two - gards: Part III ?rst adds topology, di?erential, and integral calculus to the t- ics of sets, graphs, algebra, formal ...

This volume of the Encyclopaedia contains two contributions on closely related subjects: the theory of linear algebraic groups and invariant theory. The first part is written by T.A. Springer, a well-known expert in the first mentioned field. He presents ...

PURE AND APPLIED MATHEMATICSA Series of Monographs and TextbooksEdited byPaul A. Smith and Samuel Eilenberg Columbia University, New YorkIn this book we intend to establish the essential structural identity of projective geometry and linear algebra. It ha...

Non-linear elliptic partial differential equations are an important tool in the study of Riemannian metrics in differential geometry, in particular for problems concerning the conformal change of metrics in Riemannian geometry. In recent years the role pl...

Linear Algebra Through Geometry introduces the concepts of linear algebra through the careful study of two and three-dimensional Euclidean geometry. This approach makes it possible to start with vectors, linear transformations, and matrices in the context...

"Control theory represents an attempt to codify, in mathematical terms, the principles and techniques used in the analysis and design of control systems. Algebraic geometry may, in an elementary way, be viewed as the study of the structure and properties ...

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This introductory text on banking aims to be comprehensive in scope. Following a general description of the UK banking system, the author discusses a range of topics, including European financial institutions, the Bank of England, banking regulations, mon...

This book provides insight into current research topics in finance and banking in the aftermath of the financial crisis. Expert authors authoritatively analyse how banks finance their activities and resolve funding issues. Chapters specifically discuss fi...