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This expanded second edition presents the fundamentals and touchstone results of real analysis in full rigor, but in a style that requires little prior familiarity with proofs or... Læs mere
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This book develops the theory of multivariable analysis, building on the single variable foundations established in the companion volume, Real Analysis: Foundations and Functions of One Variable.
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This book is devoted to the study of certain integral representations for Neumann, Kapteyn, Schlömilch, Dini and Fourier series of Bessel and other special functions, such as Struve and von Lommel functions.
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Everything is more simple than one thinks but at the same time more complex than one can understand Johann Wolfgang von Goethe To reach the... Læs mere
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This softcover edition of a very popular two-volume work presents a thorough first course in analysis, leading from real numbers to such advanced topics as differential forms on... Læs mere
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Volumes III and IV complete this treatise on linear partial differential equations. They constitute the most complete and up-to-date account of this subject by the author who has dominated it and made the most significant contributions in the last decades.
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Vladimir Arnold is one of the greatest mathematical scientists of our time, as well as one of the finest, most prolific mathematical authors. This first volume of his Collected Works focuses on representations of functions, celestial mechanics and KAM theory.
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In addition to the reproduction of Stieltjes' papers (I–XLVII), Volume I includes about 75 pages of commentaries by contemporary mathematicians on Stieltjes' work.
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In addition to the reproduction of Stieltjes' papers (I–XLVII), Volume I includes about 75 pages of commentaries by contemporary mathematicians on Stieltjes' work.
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Dieses Lehrbuch vermittelt dem Leser ein solides Basiswissen, wie es für weite Bereiche der Mathematik unerlässlich ist, insbesondere für die reelle Analysis, Funktionalanalysis, Wahrscheinlichkeitstheorie und mathematische Statistik.
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The book targets undergraduate and postgraduate mathematics students and helps them develop a deep understanding of mathematical analysis.