This chapter describes the basic theorems of differential calculus. The knowledge of the derivative of a function makes it possible to draw conclusions regarding the function itself. A function f(x) is defined in an interval X and that it takes at an interior point of the interval its ...
basic notions of symplectic manifolds, including the canonical 2-form; sprays and covariant derivatives for Riemannian and pseudo-Riemannian manifolds; applicatio... S Lang - Fundamentals of Differential Geometry 被引量: 950发表: 1999年 Lectures on the geometry of quantization / The only prerequisite...
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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 mathematical language. The text is a comprehensive and largely self-contained introduction to the theory of real-valued fu...
Summary of NotationFundamentals of Measure and Integration Theory.Further Results in Measure and Integration Theory.Introduction to Functional Analysis.Basic Concepts of Probability.Conditional Probability and Expectation.Strong Laws of ... TIS Processes,TCT Book - 《Academic Pr Inc》 被引量: 75发表: ...
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In addition to providing a concise treatment of fundamentals, the book covers related topics like: Uncertainty, dynamics, time use, allocation over time, general equilibrium, public goods and property rights. Calculus is used throughout this text. The Lagranigan technique is introduced and applied ...
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of the subject, emphasizing the connections between real analysis and other branches of mathematics. Key topics and features of Basic Real Analysis: * Early chapters treat the fundamentals of real variables, sequences and series of functions, the theory of Fourier series for the Riemann integral, ...