Real analysis, real variables

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This concise textbook introduces calculus students to power series through an informal and captivating narrative that avoids formal proofs but emphasizes understanding the fundamental ideas.

Isoperimetric, measure concentration and random process techniques appear at the basis of the modern understanding of Probability in Banach spaces.

This book aims to establish a foundation for fractional derivatives and fractional differential equations.

This book presents the new fascinating area of continuous inequalities.

This second edition of "e;Polynomial representations of GL (K)"e; consists of n two parts.

This book presents four topics related to undergraduate courses, typically not covered in standard lectures.

The subject of this book is Lagrange, Hermite and Birkhoff (lacunary Hermite) interpolation by multivariate algebraic polynomials.

Classical Sobolev spaces, based on Lebesgue spaces on an underlying domain with smooth boundary, are not only of considerable intrinsic interest but have for many years proved to be indispensible in the study of partial differential equations and variational problems.

Piecewise monotone mappings on an interval provide simple examples of discrete dynamical systems whose behaviour can be very complicated.

This award-winning monograph explores advanced topics in harmonic analysis, addressing both classical and contemporary problems.

This book explains the notion of Brakke's mean curvature flow and its existence and regularity theories without assuming familiarity with geometric measure theory.

This book explains the notion of Brakke's mean curvature flow and its existence and regularity theories without assuming familiarity with geometric measure theory.

This book provides a rigorous treatment of multivariable differential and integral calculus.

Dieser Buchtitel ist Teil des Digitalisierungsprojekts Springer Book Archives mit Publikationen, die seit den Anfängen des Verlags von 1842 erschienen sind.

This textbook offers undergraduates a self-contained introduction to advanced topics not covered in a standard calculus sequence.

Lively prose and imaginative exercises draw the reader into this unique introductory real analysis textbook.