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Elements of the Theory of Functions and Functional Analysis
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On Riemann's Theory of Algebraic Functions and Their Integrals
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Introduction to Analysis
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Treatise on Advanced Calculus : Including Those Parts of the Theory of Functions of Real and Complex Variables Which Form the Logical Basis of the Infinitesimal Analysis and Its Appl

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This classic offers a comprehensive logical treatment that concentrates on theory rather than on techniques and applications, providing students with a substantial base for graduate work in physics. 1940 edition.