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42“…Symplectic and contact geometry naturally emerged from the mathematical description of classical physics. The discovery of new rigidity phenomena and properties satisfied by these geometric structures launched a new research field worldwide. …”
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43
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47de réir Pach, Janos“…The early development of graph theory was heavily motivated and influenced by topological and geometric themes, such as the Konigsberg Bridge Problem, Euler's Polyhedral Formula, or Kuratowski's characterization of planar graphs. …”
Foilsithe / Cruthaithe 2004
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48“…Written by physicists for physics students, this text introduces geometrical and topological methods in theoretical physics and applied mathematics. …”
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49
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50
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51“…The mathematically inclined reader may be most interested in Chapters 2 to 6, which generalize the topological Morse description to continuous or semicontinuous functions, while mathematical morphologists may more closely consider grain filters in Chapter 3. …”
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52
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53
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54“…This text would serve well as a reference book for a graduate work on Grassmannian varieties and would be an excellent supplementary text for several courses including those in geometry of spherical varieties, Schubert varieties, advanced topics in geometric and differential topology, representation theory of compact and reductive groups, Lie theory, toric varieties, geometric representation theory, and singularity theory. …”
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55
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56de réir Cardin, Franco“…This short handbook is directed toward graduate students in Mathematics and Physics and to all those who desire a quick introduction to these beautiful subjects.…”
Foilsithe / Cruthaithe 2015
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57
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58“…This volume focuses on the role categorification plays in geometry, topology, and physics. These articles illustrate many important trends for the field including geometric representation theory, homotopical methods in link homology, interactions between higher representation theory and gauge theory, and double affine Hecke algebra approaches to link homology. …”
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59
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60de réir Sakai, Katsuro“…Almost all necessary background information is found in Geometric Aspects of General Topology, the author's first book. …”
Foilsithe / Cruthaithe 2020
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