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Quadratic Vector Equations on Complex Upper Half-Plane

The authors consider the nonlinear equation $-frac 1m=z+Sm$ with a parameter $z$ in the complex upper half plane $mathbb H $, where $S;

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Complex Numbers

, conjugates, arithmetic, the complex plane, roots of quadratic equations, the factor and remainder theorems applied to polynomial functions, Cartesian;

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Structurally Unstable Quadratic Vector Fields of Codimension One

Originating from research in the qualitative theory of ordinary differential equations, this book follows the authors' work on structurally;

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Linear Algebra

. In the book, however, mainly vector spaces are considered over the real number field and the complex number field, in case readers are not;

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Mathematical Theory in Periodic Plane Elasticity

Presenting the mathematical theory of period problems in plane elasticity by methods of complex variables. The most general formulations;

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Quadratic Number Fields

theory and abstract algebra, Quadratic Number Fields offers an engaging first course in algebraic number theory, suitable for upper undergraduate;

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Bivectors and Waves in Mechanics and Optics

homogeneous plane wave generally involves a vector (the unit vector along the propagation direction) and a bivbector (the complex amplitude of the;

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Linear Algebra

Rings, Homomorphism of Rings, Polynomial Rings, Systems of Linear equations, Vector Spaces, Linear Transformations, Vector Space Isomorphism;

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Applications of Vector Analysis and Complex Variables in Engineering

mathematical proofs. Applications of Vector Analysis and Complex Variables in Engineering explains the mathematical principles in a manner suitable for;

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Applications of Vector Analysis and Complex Variables in Engineering

mathematical proofs. Applications of Vector Analysis and Complex Variables in Engineering explains the mathematical principles in a manner suitable for;

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Harmonic Analysis on Symmetric Spaces--Euclidean Space, the Sphere, and the Poincaré Upper Half-Plane

hydrogen atom, the Radon transform, non-Euclidean geometry on the Poincare upper half plane H or unit disc and applications to microwave;

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Engineering Electromagnetic Fields and Waves

equations and the associated vector mathematics are developed early in the work, allowing readers to apply them at the outset. Its unified treatment;

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Algebra and Number Theory

numbers The complex numbers, the Fundamental Theorem of Algebra and polynomial equations Quadratic number fields and Pell's equation;

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Vector Geometry

equations, matrices, groups and linear transformations, and vectors and vector spaces. Additional subjects range from conics and quadrics to;

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Hyperbolic Geometry

quantities invariant under the action of a natural group of transformations. Topics covered include the upper half-space model of the hyperbolic;

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Backward Stochastic Differential Equations and BMO martingales

driven by continuous martingale with unbounded characteristic. Results on the existence and uniqueness for BSDEs with quadratic growth we have;

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Harmonic Analysis on Symmetric Spaces - Higher Rank Spaces, Positive Definite Matrix Space and Generalizations

. As with the introductory book entitled Harmonic Analysis on Symmetric Spaces - Euclidean Space, the Sphere, and the Poincare Upper Half;

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Elliptic Boundary Value Problems with Fractional Regularity Data

upper half-space with coefficients independent of the transversal variable and with boundary data in fractional Hardy-Sobolev and Besov spaces;

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Real Solutions to Equations from Geometry

only is much known about these, but such equations are common in applications. There are three main themes: upper bounds on the number of real;

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Number Theory and Geometry

in order to find all the integral points on a line in the plane. Similarly, Gauss's law of quadratic reciprocity and the theory of continued;

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Algebra & Geometry

This book provides a bridge between high school and undergraduate mathematics courses on algebra and geometry.The text focuses on linear;

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Quick Algebra Review

Covers factors, fractions, exponents, linear equations, functions, graphs, quadratic equations, inequalities, ratio, proportion, and;

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Komplexe Zahlen und ebene Geometrie

This book is an introduction to the arithmetic of complex numbers, and explains their role in solving equations in both plane and non;

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Mathematical Tools for Physics

.Starting with a review of basic mathematics, the author presents a thorough analysis of infinite series, complex algebra, differential;

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Kinematics

The book deals with kinematics of mechanisms. It focuses on a solid theoretical foundation and on mathematical methods applicable to the;

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Mean Value Theorems And Functional Equations

complex plane. Furthermore the reader is introduced to the field of functional equations through equations that arise in connection with the many;

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Quadratic Irrationals

irrationals. Presenting the material in a modern and elementary algebraic setting, the author focuses on equivalence, continued fractions, quadratic;

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