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Boris Shapiro
Polynomial Solutions of Linear Differential Equations

De Gruyter Expositions in Mathematics

Linear ordinary differential equations with polynomial coefficients and their solutions in the complex plane have been an active area of mathematical research since the mid-19th century, with contribution…

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Jingli Ren, Yiwen Tao
Modeling in Life Sciences and Ecology

This book begins by exploring the fundamental concepts of dynamical systems and machine learning modeling, elucidating the workflow of these two modeling approaches. While primarily tailored as an introdu…

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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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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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