Tensor Geometry The Geometric Viewpoint and its Uses
We have been very encouraged by the reactions of students and teachers using our book over the past ten years and so this is a complete retype in TEX, with corrections of known errors and the addition of a supplementary bibliography. Thanks are due to the
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Editorial Board IH. Ewing F. W. Gehring P. R. Halmos
Springer-Verlag Berlin Heidelberg GmbH
Graduate Texts in Mathematics 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47
TAKEUTI/ZARING. Introduction to Axiomatic Set Theory. 2nd ed. OXTOBY. Measure and Category. 2nd ed. SCHAEFFER. Topological Vector Spaces. HILTON/STAMMBACH. A Course in Homological Algebra MACLANE. Categories for the Working Mathematician. HUGHES/PIPER. Projective Planes. SERRE. A Course in Arithmetic. TAKEUTI/ZARING. Axiomatic Set Theory. HUMPHREYS. Introduction to Lie Algebras and Representation Theory. COHEN. A Course in Simple Homotopy Theory. CONWAY. Functions of One Complex Variable. 2nd ed. BEALS. Advanced Mathematical Analysis. ANDERSON/fuLLER. Rings and Categories of Modules. GOLUBITSKY/GUILLEMIN. Stable Mappings and Their Singularities. BERBERIAN. Lectures in Functional Analysis and Operator Theory. WINTER. The Structure of Fields. ROSENBLATT. Random Processes. 2nd ed. HALMOS. Measure Theory. HALMOS. A Hilbert Space Problem Book. 2nd ed., revised. HUSEMOLLER. Fibre Bundles. 2nd ed. HUMPHREYS. Linear Algebraic Groups BARNES/MAcK. An Algebraic Introduction to Mathematical Logic. GREUB. Linear Algebra. 4th ed. HOLMES. Geometric Functional Analysis and its Applications. HEWITT/STROMBERG. Real and Abstract Analysis. MANES. Algebraic Theories. KELLEY. General Topology. ZARISKI/SAMUEL. Commutative Algebra. Vol. I. ZARISKI/SAMUEL. Commutative Algebra. Vol. II. JACOBSON. Lectures in Abstract Algebra I: Basic Concepts. JACOBSON. Lectures in Abstract Algebra II: Linear Algebra JACOBSON. Lectures in Abstract Algebra III: Theory of Fields and Galois Theory. HIRSCH. Differential Topology. SPITZER. Principles of Random Walk. 2nd ed. WERMER. Banach Algebras and Several Complex Variables. 2nd ed. KELLEy/NAMIOKA et al. Linear Topological Spaces. MONK. Mathematical Logic. GRAUERT/FRITZSCHE. Several Complex Variables. ARVESON. An Invitation to c*-Algebras. KEMENY/SNELL/KNAPP. Denumerable Markov Chains. 2nd ed. APoSTOL. Modular Functions and Dirichlet Series in Number Theory. SERRE. Linear Representations of Finite Groups. GILLMAN/JERISON. Rings of Continuous Functions. KENDIG. Elementary Algebraic Geometry. LoEVE. Probability Theory I. 4th ed. LoEVE. Probability Theory II. 4th ed. MOISE. Geometric Topology in Dimensions 2 and 3.
c. T. J. Dodson
T. Poston
Tensor Geometry The Geometric Viewpoint and its Uses With 177 Figures Second Edition
i
Springer
Christopher Terence John Dodson Department of Mathematics University of Manchester Institute of Science and Technology Manchester M60 lQD United Kingdom e-mail: [email protected]
Timothy Poston 14 White Church Road 0513 Singapore Singapore
Editorial Board lH. Ewing Department of Mathematics Indiana University Bloomington, IN 47405, USA
F. W. Gehring Department of Mathematics University of Michigan Ann Arbor, MI 48109, USA
p. R. Halmos
Department of Mathematics Santa Clara University Santa Clara, CA 95053, USA
