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Spectral sequences are among the most elegant, most powerful, and most complicated methods of computation in mathematics. This book describes some of the most important examples of spectral sequences and some of their most spectacular applications. The first third of the book treats the algebraic foundations for this sort of homological algebra, starting from informal calculations, to give the novice a familiarity with the range of applications possible. The heart of the book is an exposition of the classical examples from homotopy theory, with chapters on the Leray-Serre spectral sequence, the Eilenberg-Moore spectral sequence, the Adams spectral sequence, and, in this new edition, the Bockstein spectral sequence. The last part of the book treats applications throughout mathematics, including the theory of knots and links, algebraic geometry, differential geometry and algebra. This is an excellent reference for students and researchers in geometry, topology, and algebra.
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Elimination --- Projective spaces --- Intersection theory (Mathematics) --- Sequences (Mathematics)
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Electric filters --- Signal processing --- Spectral sequences (Mathematics). --- Design and construction. --- Digital techniques.
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golden section --- Geometry --- geometry --- Art styles --- Architecture --- proportion --- design [discipline] --- Art --- composition [artistic arrangement] --- anno 1900-1999 --- tekenen --- gulden snede --- grafische vormgeving --- drawing techniques --- verhoudingen (kunst) --- Graphics industry --- graphic design --- Design --- Gulden snede --- Meetkunde ; kunst --- Art, Modern --- Composition (Art) --- Fibonacci numbers --- Golden section --- Proportion (Art) --- 7.013 --- 745 --- designproces --- verhoudingen --- 514 --- 7.012 --- 72.012/013 --- Fibonacci --- Fibonacci cijfers --- Industrieel en grafisch design ; vormanalyse --- Kunst en geometrie --- Proportieleer ; gulden snede ; gulden getal --- Vormanalyse ; proportie ; compositie --- Balance (Art) --- Rhythm (Art) --- Anatomy, Artistic --- Perspective --- Symmetry (Art) --- Divine proportion (Mathematics) --- Divine section (Mathematics) --- Extreme and mean ratio --- Golden cut --- Golden mean (Mathematics) --- Golden number (Ratio) --- Golden proportion --- Golden ratio --- Mean of Phidias --- Medial section --- Phi ratio --- Phidias, Mean of --- Geometry, Plane --- Ratio and proportion --- Fibonacci sequence --- Numbers, Fibonacci --- Sequence, Fibonacci --- Recurrent sequences (Mathematics) --- Affichistes (Group of artists) --- Fluxus (Group of artists) --- Modernism (Art) --- Schule der Neuen Prächtigkeit (Group of artists) --- Zero (Group of artists) --- ritme en verhoudingen in de kunst, vormleer --- CAD, design en industriële vormgeving --- Geometrie --- Meetkunde --- Compositie (kunst) --- Ontwerp (kunst) --- Gulden snede (kunst) --- Proportie (kunst) --- Architectonisch ontwerp --- Architectuurontwerp --- Gulden snede (architectuur) --- Ontwerp (architectuur) --- Proportie (architectuur) --- Kunst ; verhouding, vorm, ritme --- Rhythm --- Composition --- Lay-out --- Scale (Art)
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