Representation Theory I. Finite Dimensio
β Vlastimil Dlab, Peter Gabriel, Gerhard Michler
π Library
π
1986
π Springer
π English
β¦ LIBER β¦
π
Finite-Dimensional Spaces: Algebra, Geometry and Analysis Volume I
β Scribed by Walter Noll (auth.)
- Publisher
- Springer Netherlands
- Year
- 1987
- Tongue
- English
- Leaves
- 402
- Series
- Mechanics: Analysis 10
- Edition
- 1
- Category
- Library
β¬ Acquire This Volume
No coin nor oath required. For personal study only.
β¦ Synopsis
A. Audience. This treatise (consisting of the present VoU and of VoUI, to be published) is primarily intended to be a textbook for a core course in mathematics at the advanced undergraduate or the beginning graduate level. The treatise should also be useful as a textbook for selected stuΒ dents in honors programs at the sophomore and junior level. Finally, it should be of use to theoretically inclined scientists and engineers who wish to gain a better understanding of those parts of mathematΒ ics that are most likely to help them gain insight into the conceptual foundations of the scientific discipline of their interest. B. Prerequisites. Before studying this treatise, a student should be familiar with the material summarized in Chapters 0 and 1 of Vol.1. Three one-semester courses in serious mathematics should be sufficient to gain such faΒ miliarity. The first should be an introduction to contemporary mathΒ ematics and should cover sets, families, mappings, relations, number systems, and basic algebraic structures. The second should be an inΒ troduction to rigorous real analysis, dealing with real numbers and real sequences, and with limits, continuity, differentiation, and integration of real functions of one real variable. The third should be an introΒ duction to linear algebra, with emphasis on concepts rather than on computational procedures. C. Organization.
β¦ Table of Contents
Front Matter....Pages I-XVI
Basic Mathematics....Pages 1-38
Linear Spaces....Pages 39-69
Duality, Bilinearity....Pages 71-99
Flat Spaces....Pages 101-131
Inner-Product Spaces, Euclidean Spaces....Pages 133-161
Topology....Pages 163-208
Differential Calculus....Pages 209-276
Coordinate Systems....Pages 277-302
Spectral Theory....Pages 303-349
The Structure of General Lineons....Pages 351-375
Back Matter....Pages 376-393
β¦ Subjects
Algebra; Geometry
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