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| Superb text provides math needed to understand today's more advanced topics in physics and engineering. Theory of functions of a complex... Fresh, lively text serves as a modern introduction to the subject, with applications to the mechanics of systems with a finite number of...
These counterexamples deal mostly with the part of analysis known as "real variables." Covers the real number system, functions and limits,... "This book presents a basic introduction to complex analysis in both an interesting and a rigorous manner. It contains enough material for a...
Famous Russian work discusses the application of cylinder functions and spherical harmonics; gamma function; probability integral and... This classic was written by a founder in the field, offering a clear, detailed exposition that examines introductory theories, the...
Excellent undergraduate-level text offers coverage of real numbers, sets, metric spaces, limits, continuous functions, much more. Each... A graduate-course text, written for readers familiar with measure-theoretic probability and discrete-time processes, wishing to explore...
Skillfully organized introductory text examines origin of differential equations, then defines basic terms and outlines the general solution... Concise classic by great mathematician and physicist deals with logic and mathematics of set and function, concept of number and the...
Modelling with the Ito integral or stochastic differential equations has become increasingly important in various applied fields, including... This introduction to Hilbert space, bounded self-adjoint operators, the spectrum of an operator, and operators' spectral decomposition is...
This graduate text in real analysis is a solid building block for research in analysis, PDEs, the calculus of variations, probability, and... A supplementary text for undergraduate courses in the calculus of variations which provides an introduction to modern techniques in the...
Developed for the professional Master's program in Computational Finance at Carnegie Mellon, the leading financial engineering program in... This book provides a rigorous yet elementary introduction to the theory of analytic functions of a single complex variable. While...
The primary goal of these lectures is to introduce a beginner to the finite-dimensional representations of Lie groups and Lie algebras.... This book takes advanced graduate students from the foundations to topics on the research frontier.
Application-oriented introduction relates the subject as closely as possible to science with explorations of the derivative; differentiation... Topics include the complex plane, basic properties of analytic functions, analytic functions as mappings, analytic and harmonic functions in...
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