Finite-Dimensional Vector Spaces: Second Edition (Dover Books on Mathematics)
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Finite-Dimensional Vector Spaces: Second Edition

A fine example of a great mathematician's intellect and mathematical style, this classic on linear algebra is widely cited in the literature. The treatment is an ideal supplement to many traditional linear algebra texts and is accessible to undergraduates with some background in algebra. "This is a classic but still useful introduction to modern linear algebra. It is primarily about linear transformations … It's also extremely well-w...

Reconstruction from integral data
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Reconstruction from integral data

Reconstruction of a function from data of integrals is used for problems arising in diagnostics, including x-ray, positron radiography, ultrasound, scattering, sonar, seismic, impedance, wave tomography, crystallography, photo-thermo-acoustics, photoelastics, and strain tomography. Reconstruction from Integral Data presents both long-standing and recent mathematical results from this field in a uniform way. The book focuses on exact ...

The Real Number System (Dover Books on Mathematics)
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The Real Number System (Dover Books on Mathematics)

Concise but thorough and systematic, this categorical discussion of the real number system presents a series of step-by-step axioms, each illustrated by examples. The highly accessible text is suitable for readers at varying levels of knowledge and experience: advanced high school students and college undergraduates as well as prospective high school and college instructors. The abundance of examples and the wealth of exercises—more ...

Spectral Theory of Canonical Systems
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Spectral Theory of Canonical Systems

Canonical systems occupy a central position in the spectral theory of second order differential operators. They may be used to realize arbitrary spectral data, and the classical operators such as Schrödinger, Jacobi, Dirac, and Sturm-Liouville equations can be written in this form. 'Spectral Theory of Canonical Systems' offers a selfcontained and detailed introduction to this theory. Techniques to construct self-adjoint realizations ...

Elliptic, Hyperbolic and Mixed Complex Equations with Parabolic Degeneracy
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Elliptic, Hyperbolic and Mixed Complex Equations with Parabolic Degeneracy

In the recent half-century, many mathematicians have investigated various problems on several equations of mixed type and obtained interesting results, with important applications to gas dynamics. However, the Tricomi problem of general mixed type equations of second order with parabolic degeneracy has not been completely solved, particularly the Tricomi and Frankl problems for general Chaplygin equation in multiply connected domains...

Remnants of the Fall: Revelations of Particle Secrets
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Remnants of the Fall: Revelations of Particle Secrets

"Rolnick's book is appropriate for anyone with an interest in particle physics and might be particularly appealing to those with a literary background. The fairly extensive glossary of terms should be helpful to many readers because a large amount of rather involved and unfamiliar material is discussed."

Fourier-Mukai and Nahm Transforms in Geometry and Mathematical Physics
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Fourier-Mukai and Nahm Transforms in Geometry and Mathematical Physics

“The monograph under review surveys the developments in the subject since Mukai’s original discovery, mainly concentrating on geometric aspects. … the authors do a good job of being precise while at the same time remaining readable. … there are appendices on background material, including triangulated categories, as well as a final outlook section on stability conditions, making the presentation self-contained and also largely comple...

A Tale of Two Fractals
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A Tale of Two Fractals

Since Benoit Mandelbrot's pioneering work in the late 1970s, scores of research articles and books have been published on the topic of fractals. Despite the volume of literature in the field, the general level of theoretical understanding has remained low; most work is aimed either at too mainstream an audience to achieve any depth or at too specialized a community to achieve widespread use. Written by celebrated mathematician and ed...

General Fractional Derivatives: Theory, Methods and Applications
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General Fractional Derivatives: Theory, Methods and Applications

General Fractional Derivatives: Theory, Methods and Applications provides knowledge of the special functions with respect to another function, and the integro-differential operators where the integrals are of the convolution type and exist the singular, weakly singular and nonsingular kernels, which exhibit the fractional derivatives, fractional integrals, general fractional derivatives, and general fractional integrals of the consta...

Business Process Modeling, Simulation and Design, Third Edition
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Business Process Modeling, Simulation and Design, Third Edition

Business Process Modeling, Simulation and Design, Third Edition provides students with a comprehensive coverage of a range of analytical tools used to model, analyze, understand, and ultimately design business processes. The new edition of this very successful textbook includes a wide range of approaches such as graphical flowcharting tools, cycle time and capacity analyses, queuing models, discrete-event simulation, simulation-optim...