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Terence Tao Libri

    17 luglio 1975

    Terry Tao è un matematico la cui ricerca spazia in diversi campi, tra cui l'analisi armonica, le equazioni differenziali parziali e la teoria dei numeri. Il suo lavoro approfondisce le intricate strutture e i modelli all'interno della matematica, cercando di scoprire principi fondamentali. I contributi di Tao hanno significativamente fatto avanzare la nostra comprensione dei complessi paesaggi matematici. La sua dedizione all'esplorazione delle basi teoriche della matematica è evidente nella sua ricerca prolifica e di impatto.

    Analysis II
    Analysis I

    • Analysis I

      • 347pagine
      • 13 ore di lettura
      4,7(21)Aggiungi una valutazione

      This is part one of a two-volume book on real analysis and is intended for senior undergraduate students of mathematics who have already been exposed to calculus. The emphasis is on rigour and foundations of analysis. Beginning with the construction of the number systems and set theory, the book discusses the basics of analysis (limits, series, continuity, differentiation, Riemann integration), through to power series, several variable calculus and Fourier analysis, and then finally the Lebesgue integral. These are almost entirely set in the concrete setting of the real line and Euclidean spaces, although there is some material on abstract metric and topological spaces. The book also has appendices on mathematical logic and the decimal system. The entire text (omitting some less central topics) can be taught in two quarters of 25–30 lectures each. The course material is deeply intertwined with the exercises, as it is intended that the student actively learn the material (and practice thinking and writing rigorously) by proving several of the key results in the theory.

      Analysis I

    • Analysis II

      • 218pagine
      • 8 ore di lettura
      4,6(12)Aggiungi una valutazione

      This is part two of a two-volume book on real analysis and is intended for senior undergraduate students of mathematics who have already been exposed to calculus. The emphasis is on rigour and foundations of analysis. Beginning with the construction of the number systems and set theory, the book discusses the basics of analysis (limits, series, continuity, differentiation, Riemann integration), through to power series, several variable calculus and Fourier analysis, and then finally the Lebesgue integral. These are almost entirely set in the concrete setting of the real line and Euclidean spaces, although there is some material on abstract metric and topological spaces. The book also has appendices on mathematical logic and the decimal system. The entire text (omitting some less central topics) can be taught in two quarters of 25–30 lectures each. The course material is deeply intertwined with the exercises, as it is intended that the student actively learn the material (and practice thinking and writing rigorously) by proving several of the key results in the theory.

      Analysis II