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This second of two Exercises in Analysis volumes covers problems in five core topics of mathematical analysis: Function Spaces, Nonlinear and Multivalued Maps, Smooth and Nonsmooth Calculus, Degree Theory and Fixed Point Theory, and Variational and Topological Methods.
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This textbook features applications including a proof of the Fundamental Theorem of Algebra, space filling curves, and the theory of irrational numbers. In addition to the standard results of advanced calculus, the book contains several interesting applications of these results.
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This book compiles solutions of linear theory of elasticity problems for isotropic and anisotropic bodies with sharp and rounded notches.
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This volume consists of contributions spanning a wide spectrum of harmonic analysis and its applications written by speakers at the February Fourier Talks from 2002 – 2016.
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Feynman path integrals, suggested heuristically by Feynman in the 40s, have become the basis of much of contemporary physics, from non-relativistic quantum mechanics to quantum fields, including gauge fields, gravitation, cosmology.
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Das Buch ist eine kompakte, leicht lesbare Einführung in die Maß- und Integrationstheorie samt Wahrscheinlichkeitstheorie, in der auch auf den für das... Læs mere
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Dieses Buch vermittelt ein solides Grundwissen über Maßtheorie, indem es die wichtigsten Teile derselben in detaillierten, gut nachvollziehbaren Schritten darlegt sowie mit zahlreichen Beispielen verbindet.
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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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Contains a collection of research papers originating from the 6th... Læs mere
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This book deals with the study of sequence spaces, matrix transformations, measures of... Læs mere
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Periodic Solutions of First-Order Functional Differential Equations in Population Dynamics
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The book targets undergraduate and postgraduate mathematics students and helps them develop a deep understanding of mathematical analysis.