| Item type | Current location | Collection | Call number | Copy number | Status | Date due | Barcode |
|---|---|---|---|---|---|---|---|
| E-Books | Biblioteca da FCTUNL Online | Não Ficção | QA611.SPR FCT 95884 (Browse shelf) | 1 | Available |
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| QA611.SPR FCT 82964 Recent progress in general topology III | QA611.SPR FCT 95176 Topologie générale | QA611.SPR FCT 95701 Topological degree approach to bifurcation problems | QA611.SPR FCT 95884 Knots and primes | QA611.SPR FCT 95890 Inverse limits | QA611.SPR FCT 96443 Topological and statistical methods for complex data | QA611.SPR FCT 97067 Families of automorphic forms and the trace formula |
Colocação: Online
This is a foundation for arithmetic topology - a new branch of mathematics which is focused upon the analogy between knot theory and number theory. Starting with an informative introduction to its origins, namely Gauss, this text provides a background on knots, three manifolds and number fields. Common aspects of both knot theory and number theory, for instance knots in three manifolds versus primes in a number field, are compared throughout the book. These comparisons begin at an elementary level, slowly building up to advanced theories in later chapters. Definitions are carefully formulated and proofs are largely self-contained. When necessary, background information is provided and theory is accompanied with a number of useful examples and illustrations, making this a useful text for both undergraduates and graduates in the field of knot theory, number theory and geometry.
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