MARC ayrıntıları
| 000 -LEADER |
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| fixed length control field |
04600nam a2200337 i 4500 |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION |
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| fixed length control field |
040521s2005 enka 001 0 eng |
| 010 ## - LIBRARY OF CONGRESS CONTROL NUMBER |
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| LC control number |
2004051865 |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
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| International Standard Book Number |
052181362X |
| Qualifying information |
hardback |
|
|---|
| International Standard Book Number |
0521890497 |
| Qualifying information |
pbk. |
| 040 ## - CATALOGING SOURCE |
|---|
| Original cataloging agency |
DLC |
| Transcribing agency |
DLC |
| Modifying agency |
DLC |
| -- |
NhCcYBP |
| -- |
BAUN |
| 049 ## - LOCAL HOLDINGS (OCLC) |
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| Holding library |
BAUN_MERKEZ |
| 050 04 - LIBRARY OF CONGRESS CALL NUMBER |
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| Classification number |
QA155 |
| Item number |
.B36 2005 |
| 082 00 - DEWEY DECIMAL CLASSIFICATION NUMBER |
|---|
| Edition number |
22 |
| 100 1# - MAIN ENTRY--PERSONAL NAME |
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| Personal name |
Beardon, Alan F |
| 245 10 - TITLE STATEMENT |
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| Title |
Algebra and geometry / |
| Statement of responsibility, etc |
Alan F. Beardon |
| 264 #1 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE |
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| Place of production, publication, distribution, manufacture |
Cambridge, UK ; |
| -- |
New York : |
| Name of producer, publisher, distributor, manufacturer |
Cambridge University Press, |
| Date of production, publication, distribution, manufacture, or copyright notice |
2005. |
| 300 ## - PHYSICAL DESCRIPTION |
|---|
| Extent |
xii, 326 pages : |
| Other physical details |
illustrations ; |
| Dimensions |
23 cm |
| 336 ## - CONTENT TYPE |
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| Content Type Term |
text |
| Content Type Code |
txt |
| Source |
rdacontent |
| 337 ## - MEDIA TYPE |
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| Media Type Term |
unmediated |
| Media Type Code |
unmediated |
| Source |
rdamedia |
| 338 ## - CARRIER TYPE |
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| Carrier Type Term |
volume |
| Carrier Type Code |
volume |
| Source |
rdacarrier |
| 500 ## - GENERAL NOTE |
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| General note |
Includes index |
| 505 00 - FORMATTED CONTENTS NOTE |
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| Title |
Preface |
| -- |
-- 1. Groups and permutations |
| -- |
-- 1.1. Introduction |
| -- |
-- 1.2. Groups |
| -- |
-- 1.3. Permutations of a finite set |
| -- |
-- 1.4. The sign of a permutation |
| -- |
-- 1.5 Permutations of an arbitrary set |
| -- |
-- 2. The real numbers |
| -- |
-- 2.1. The integers |
| -- |
-- 2.2. The real numbers |
| -- |
-- 2.3. Fields |
| -- |
-- 2.4. Modular arithmetic |
| -- |
-- 3. The complex plane |
| -- |
-- 3.1. Complex numbers |
| -- |
-- 3.2. Polar coordinates |
| -- |
-- 3.3. Lines and circles |
| -- |
-- 3.4. Isometries of the plane |
| -- |
-- 3.5. Roots of unity |
| -- |
-- 3.6. Cubic and quartic equations |
| -- |
-- 3.7. The fundamental theorem of algebra |
| -- |
-- 4. Vectors in three-dimensional space |
| -- |
-- 4.1. Vectors |
| -- |
-- 4.2. The scalar product |
| -- |
-- 4.3. The vector product |
| -- |
-- 4.4. The scalar triple product |
| -- |
-- 4.5. The vector triple product |
| -- |
-- 4.6. Orientation and determinant s- |
| -- |
-- 4.7. Applications to geometry |
| -- |
-- 4.8. Vector equations |
| -- |
-- 5. Spherical geometry |
| -- |
-- 5.1. Spherical distance |
| -- |
-- 5.2. Spherical trigonometry-- 5.3. Area on the sphere |
| -- |
-- 5.4. Euler's formula |
| -- |
-- 5.5. Regular polyhedra |
| -- |
-- 5.6. General polyhedra |
| -- |
-- 6. Quaternions and isometries |
| -- |
-- 6.1. Isometries of Euclidean space |
| -- |
-- 6.2. Quaternions |
| -- |
-- 6.3. Reflections and rotations |
| -- |
-- 7. Vector spaces |
| -- |
-- 7.1. Vector spaces |
| -- |
-- 7.2. Dimension |
| -- |
-- 7.3. Subspaces |
| -- |
-- 7.4. The direct sum of two subspaces |
| -- |
-- 7.5. Linear difference equations |
| -- |
-- 7.6. The vector space of polynomials |
| -- |
-- 7.7. Linear transformations |
| -- |
-- 7.8. The kernel of a linear transformation |
| -- |
-- 7.9. Isomorphisms |
| -- |
-- 7.10. The space of linear maps |
| -- |
-- 8. Linear equations |
| -- |
-- 8.1. Hyperplanes |
| -- |
-- 8.2. Homogeneous linear equations |
| -- |
-- 8.3. Row rank and column rank |
| -- |
-- 8.4. Inhomogeneous linear equations |
| -- |
-- 8.5. Determinants and linear equations |
| -- |
-- 8.6. Determinants |
| -- |
-- 9. Matrices |
| -- |
-- 9.1. The vector space of matrices |
| -- |
-- 9.2. A matrix as a linear transformation |
| -- |
-- 9.3. The matrix of a linear transformation |
| -- |
-- 9.4. Inverse maps and matrices |
| -- |
-- 9.5. Change of bases |
| -- |
-- 9.6. The resultant of two polynomials |
| -- |
-- 9.7. The number of surjections |
| -- |
-- 10. Eigenvectors |
| -- |
-- 10.1. Eigenvalues and eigenvectors |
| -- |
-- 10.2. Eigenvalues and matrices |
| -- |
-- 10.3. Diagonalizable matrices |
| -- |
-- 10.4. The Cayley-Hamilton theorem |
| -- |
-- 10.5. Invariant planes |
|
|---|
| Formatted contents note |
11. Linear maps of euclidean space |
| Title |
-- 11.1. Distance in Euclidean space |
| -- |
-- 11.2. Orthogonal maps |
| -- |
-- 11.3. Isometries of Euclidean n-space |
| -- |
-- 11.4. Symmetric matrices |
| -- |
-- 11.5. The field axioms |
| -- |
-- 11.6. Vector products in higher dimensions |
| -- |
-- 12. Groups |
| -- |
-- 12.1. Groups |
| -- |
-- 12.2. Subgroups and cosets |
| -- |
-- 12.3. Lagrange's theorem |
| -- |
-- 12.4. Isomorphisms |
| -- |
-- 12.5. Cyclic groups |
| -- |
-- 12.6. Applications to arithmetic |
| -- |
-- 12.7. Product groups |
| -- |
-- 12.8. Dihedral groups |
| -- |
-- 12.9. Groups of small order |
| -- |
-- 12.10. Conjugation |
| -- |
-- 12.11. Homomorphisms |
| -- |
-- 12.12. Quotient groups |
| -- |
-- 13. Möbius transformations |
| -- |
-- 13.1. Möbius transformations |
| -- |
-- 13.2. Fixed points and uniqueness |
| -- |
-- 13.3. Circles and lines |
| -- |
-- 13.4. Cross-ratios |
| -- |
-- 13.5. Möbius maps and permutations |
| -- |
-- 13.6. Complex lines |
| -- |
-- 13.7. Fixed points and eigenvectors |
| -- |
-- 13.8. A geometric view of infinity |
| -- |
-- 13.9. Rotations of the sphere |
| -- |
-- 14. Group actions |
| -- |
-- 14.1. Groups of permutations |
| -- |
-- 14.2. symmetries of a regular polyhedron |
| -- |
-- 14.3. Finite rotation groups in space |
| -- |
-- 14.4. Groups of isometries of the plane |
| -- |
-- 14.5. Group actions |
| -- |
-- 15. Hyperbolic geometry |
| -- |
-- 15.1. The hyperbolic plane |
| -- |
-- 15.2. The hyperbolic distance |
| -- |
-- 15.3. Hyperbolic circles |
| -- |
-- 15.4. Hyperbolic trigonometry |
| -- |
-- 15.5. Hyperbolic three-dimensional space |
| -- |
-- 15.6. Finite Möbius groups |
| -- |
-- Index |
| 520 1# - SUMMARY, ETC. |
|---|
| Summary, etc |
Describing two cornerstones of mathematics, this basic textbook presents a unified approach to algebra and geometry |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name as entry element |
Algebra |
| 9 (RLIN) |
275 |
|
|---|
| Topical term or geographic name as entry element |
Geometry. |
| 710 2# - ADDED ENTRY--CORPORATE NAME |
|---|
| 9 (RLIN) |
72911 |
| Corporate name or jurisdiction name as entry element |
Cambridge University Press. |
| 900 ## - EQUIVALENCE OR CROSS-REFERENCE-PERSONAL NAME [LOCAL, CANADA] |
|---|
| Personal Name |
19530 |
|
|---|
| Numeration |
Satın |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) |
|---|
| Source of classification or shelving scheme |
Library of Congress Classification |
| Koha item type |
Kitap |
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