Mathematical foundations of computational engineering : a handbook /
"This book serves as a comprehensive handbook, bringing the fundamental mathematics of engineering computation into a suitable order for specific engineering purposes, showing their significance for typical applications. The relevant definitions, notations and theories are presented in a durabl...
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| Format: | Book |
| Language: | English German |
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Berlin ; New York :
Springer,
©2001.
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| Subjects: |
MARC
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| 010 | |a 2001042879 | ||
| 020 | |a 3540679952 (alk. paper) | ||
| 035 | |a (OCoLC)47208580 | ||
| 040 | |a DLC |c DLC |d DLC |d OrLoB-B | ||
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| 042 | |a pcc | ||
| 049 | |a SCI |l 31951D02177581H | ||
| 050 | 0 | 0 | |a TA330 |b .P3513 2001 |
| 082 | 0 | 0 | |a 620/.001/51 |2 21 |
| 100 | 1 | |a Pahl, Peter Jan, |d 1937- | |
| 240 | 1 | 0 | |a Mathematische Grundlagen der Ingenieurinformatik. |l English |
| 245 | 1 | 0 | |a Mathematical foundations of computational engineering : |b a handbook / |c Peter Jan Pahl, Rudolf Damrath. |
| 260 | |a Berlin ; |a New York : |b Springer, |c ©2001. | ||
| 300 | |a xviii, 1008 pages : |b illustrations ; |c 24 cm | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a unmediated |b n |2 rdamedia | ||
| 338 | |a volume |b nc |2 rdacarrier | ||
| 500 | |a Includes index. | ||
| 505 | 0 | 0 | |g 1. |t Logic. |g 1.1. |t Representation of Thought. |g 1.2. |t Elementary Concepts. |g 1.3. |t Propositional Logic. |g 1.4. |t Predicate Logic. |g 1.5. |t Proofs and Axioms -- |g 2. |t Set Theory. |g 2.1. |t Sets. |g 2.2. |t Algebra of Sets. |g 2.3. |t Relations. |g 2.4. |t Types of Relations. |g 2.5. |t Mappings. |g 2.6. |t Types of Mappings. |g 2.7. |t Cardinality and Countability. |g 2.8. |t Structures -- |g 3. |t Algebraic Structures. |g 3.1. |t Introduction. |g 3.2. |t Inner Operations. |g 3.3. |t Sets with One Operation. |g 3.4. |t Sets with Two Operations. |g 3.5. |t Vector Spaces. |g 3.6. |t Linear Mappings. |g 3.7. |t Vector and Matrix Algebra -- |g 4. |t Ordinal Structures. |g 4.1. |t Introduction. |g 4.2. |t Ordered Sets. |g 4.3. |t Extreme Elements. |g 4.4. |t Ordered Sets with Extremality Properties. |g 4.5. |t Mappings of Ordered Sets. |g 4.6. |t Properties of Ordered Sets. |g 4.7. |t Ordered Cardinal Numbers -- |g 5. |t Topological Structures. |g 5.1. |t Introduction. |g 5.2. |t Topological Spaces. |g 5.3. |t Bases and Generating Sets. |g 5.4. |t Metric Spaces. |g 5.5. |t Point Sets in Topological Spaces. |9 bnatoc |
| 505 | 8 | 0 | |g 5.6. |t Topological Mappings. |g 5.7. |t Construction of Topologies. |g 5.8. |t Connectedness of Sets. |g 5.9. |t Separation Properties. |g 5.10. |t Convergence. |g 5.11. |t Compactness. |g 5.12. |t Continuity of Real Functions -- |g 6. |t Number System. |g 6.1. |t Introduction. |g 6.2. |t Natural Numbers. |g 6.3. |t Integers. |g 6.4. |t Rational Numbers. |g 6.5. |t Real Numbers. |g 6.6. |t Complex Numbers. |g 6.7. |t Quaternions -- |g 7. |t Groups. |g 7.1. |t Introduction. |g 7.2. |t Groups and Subgroups. |g 7.3. |t Types of Groups. |g 7.4. |t Class Structure. |g 7.5. |t Group Structure. |g 7.6. |t Abelian Groups. |g 7.7. |t Permutations. |g 7.8. |t General Groups. |g 7.9. |t Unique Decomposition of Abelian Groups -- |g 8. |t Graphs. |g 8.1. |t Introduction. |g 8.2. |t Algebra of Relations. |g 8.3. |t Classification of Graphs. |g 8.4. |t Structure of Graphs. |g 8.5. |t Paths in Networks. |g 8.6. |t Network Flows -- |g 9. |t Tensors. |g 9.1. |t Introduction. |g 9.2. |t Vector Algebra. |g 9.3. |t Tensor Algebra. |g 9.4. |t Tensor Analysis -- |g 10. |t Stochastics. |g 10.1. |t Introduction. |g 10.2. |t Random Events. |g 10.3. |t Random Variables. |9 bnatoc |
| 505 | 8 | 0 | |g 10.4. |t Random Vectors. |g 10.5. |t Random Processes. |9 bnatoc |
| 520 | 1 | |a "This book serves as a comprehensive handbook, bringing the fundamental mathematics of engineering computation into a suitable order for specific engineering purposes, showing their significance for typical applications. The relevant definitions, notations and theories are presented in a durable form which is independent of the fast development of information technology."--BOOK JACKET. |9 bnatoc | |
| 650 | 0 | |a Engineering mathematics | |
| 650 | 0 | |a Engineering |x Data processing | |
| 700 | 1 | |a Damrath, Rudolf, |d 1942- | |
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