GDOWSKI PLUCISKI ZADANIA Z RACHUNKU WEKTOROWEGO PDF

GDOWSKI PLUCISKI ZADANIA Z RACHUNKU WEKTOROWEGO PDF

Gdowski B., Pluciński E. – Zbiór zadań z rachunku wektorowego i geometrii analitycznej Teoria, przykłady, zadania – Oficyna Wydawnicza PRz, Rzeszów. W. Dubnicki, L. Filus, H. Sosnowska, Algebra liniowa w zadaniach. PWN B. Gdowski, E. Pluciński, Zadania z rachunku wektorowego i geometrii analitycznej. Analiza matematyczna w zadaniach. PWN Warszawa Gdowski B., Pluciński E., Zbiór zadań z rachunku wektorowego i geometrii analitycznej. Oficyna.

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Linear spaces List 4: Principal ideal rings, Euklidean rings, Chinese Remainder Theorem Computer algebra Short sketches of chosen issues Diagonalization of polynomial matrices Linear algebra Lists of exercises prepared for the lecture Linear algebra with geometry for the specialization Mathematics and Economy List 1: Security of www – IP blocking, authentication with a password Project 2: Complex numbers List 2: Basis and dimension of a linear space List 5: Abstract Bibliography, related topics, historical remarks ginflations program and other projects Appendix: Part 1 Part 2 Part 3 Part 4 Theory of graphs and graph algorithms.

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About seminar – abstract [pl] Prerequisites wekyorowego Recommended literature [pl] Basic course on graph algorithms: Rings, ideals, isomorphism theorem for rings; invertible, indecomposable elements Network sniffing – Wireshark presentation Project 4: Groups – basic examples; isomorphism theorem for groups List 2: Graph algorithms and their applications for Computer Science Informatics.

Representations of groups, decomposition of finitely generated abelian groups List zadaniq Graph algorithms and their applications Abstract algebra group and ring theory Lists of exercises prepared for the lecture Algebra for the specialization Computer Science lists also contain chosen basic definitions, facts and hints List 1: Elements of graph theory, graph representations [slides] [printable] Basic graph algorithms and their applications DFS, BFS [slides] [printable] Shortest paths problems Dijkstra, Bellman-Ford [slides] [printable] Minimum spaning tree Kruskal, Prim, disjoint sets structures [slides] [printable] Maximum flow Ford-Fulkerson, bipartite matchings [slides] [printable] NEW: Computational data for Nakayama bigraphs Horario: A more growski presentation of the material of Part 3 above, together with algorithm simulations in polish.

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Set theory Lists of exercises prepared for the lecture Introduction to mathematics for the specialization Mathematics and Mathematics and Economy Quantifiers Mathematical induction Elements of the set theory Relations Short sketches of chosen issues Relations – basic definitions Seminars Bachelor seminar: