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M. A. Al-Gwaiz
Sturm-Liouville Theory and its Applications

Springer Undergraduate Mathematics Series

Developed from a course taught to senior undergraduates, this book provides a unified introduction to Fourier analysis and special functions based on the Sturm-Liouville theory in L^2^. The treatment reli…

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Yves Martinez-Maure
Hedgehog Theory

Lecture Notes in Mathematics - Band 2381

This book provides the very first comprehensive and self-contained introduction to hedgehog theory, which is born of the desire to visualize the formal differences of convex bodies. This extension of conv…

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Advanced Mathematical Models and Integration Methods

De Gruyter Proceedings in Mathematics

This volume presents selected contributions from the seminar "Mathematical Models and Integration Methods," highlighting recent advances in differential equations, mathematical modeling, and mod…

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Optical Fiber Lasers

This book provides a comprehensive overview of the latest achievements in the field of optical fiber lasers, covering the basics, technology, and numerous applications. Optical fiber lasers are key in a v…

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Alexander Leonidovich Skubachevskii, Leonid Efimovich Rossovskii
Partial Differential Equations Theory

De Gruyter Textbook

Most modern textbooks on partial differential equations either contain proofs of fundamental results only in special cases, or proof outlines, or do not contain proofs at all. This textbook, despite its r…

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Timothy G. Myers
Theoretical and Practical Stefan Problems

Interdisciplinary Applied Mathematics - Band 63

This text provides a modern introduction to the mathematical formulation and physical applications of Stefan problems. With a careful balance of theory and practice, it is suitable for both graduate stude…

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Constantine M. Dafermos
Hyperbolic Conservation Laws in Continuum Physics

Grundlehren der mathematischen Wissenschaften - Band 325

This is a masterly exposition and an encyclopedic presentation of the theory of hyperbolic conservation laws. It illustrates the essential role of continuum thermodynamics in providing motivation and dire…

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Svetlin G. Georgiev
Tensor Calculus on Time Scales

De Gruyter Textbook

In chapter 1 N dimensional spaces, contravariant vectors, covariant vectors and invariants are introduced. Some of their properties are deduced. Transformations of coordinates are investigated. Chapter 2 …

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