High precision methods in eigenvalue problems and their by Leonid D. Akulenko, Sergei V. Nesterov

By Leonid D. Akulenko, Sergei V. Nesterov

This e-book provides a survey of analytical, asymptotic, numerical, and mixed equipment of fixing eigenvalue difficulties. It considers the hot approach to sped up convergence for fixing difficulties of the Sturm-Liouville sort in addition to boundary-value issues of boundary stipulations of the 1st, moment, and 3rd type. The authors additionally current high-precision asymptotic equipment for picking eigenvalues and eigenfunctions of upper oscillation modes and view quite a few eigenvalue difficulties that seem in oscillation idea, acoustics, elasticity, hydrodynamics, geophysics, quantum mechanics, structural mechanics, electrodynamics, and microelectronics.

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Introductory technical mathematics by John Peterson, Robert D. Smith

By John Peterson, Robert D. Smith

With an emphasis on real-world math functions, the 6th version of INTRODUCTORY TECHNICAL arithmetic presents readers with present and sensible technical math functions for ultra-modern refined exchange and technical paintings environments. easy and simple to appreciate, this hands-on e-book is helping readers construct a superb figuring out of math innovations via step by step examples and difficulties drawn from quite a few occupations. up to date to incorporate the most up-tp-date details within the box, the 6th version comprises elevated insurance of issues comparable to estimation utilization, spreadsheets, and energy-efficient electric purposes.

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Flexagons Inside Out by Les Pook

By Les Pook

Given during this ebook for developing the flexagons. they're minimum at top. i've got had this challenge with origami books, too. So, i like to recommend a potential shopper examine the ebook prior to deciding to buy to ensure she or he can comprehend the instructions; what's the worth of the booklet if you cannot truly build the flexagons and play with them?

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A Book of Curves by E. H. Lockwood

By E. H. Lockwood

This booklet opens up a huge box of arithmetic at an trouble-free point, one during which the part of aesthetic excitement, either within the shapes of the curves and of their mathematical relationships, is dominant. This ebook describes equipment of drawing airplane curves, starting with conic sections (parabola, ellipse and hyperbola), and happening to cycloidal curves, spirals, glissettes, pedal curves, strophoids etc. typically, 'envelope equipment' are used. There are twenty-five full-page plates and over 90 smaller diagrams within the textual content. The e-book can be utilized in faculties, yet may also be a reference for draughtsmen and mechanical engineers. As a textual content on complicated aircraft geometry it may entice natural mathematicians with an curiosity in geometry, and to scholars for whom Euclidean geometry isn't really a valuable learn.

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Polynomial Root-Finding and Polynomiography by Bahman Kalantari

By Bahman Kalantari

This ebook deals interesting and smooth views into the speculation and perform of the old topic of polynomial root-finding, rejuvenating the sector through polynomiography, an artistic and novel computing device visualization that renders staggering photographs of a polynomial equation. Polynomiography won't simply pave the best way for brand spanking new functions of polynomials in technology and arithmetic, but in addition in paintings and schooling. The e-book provides a radical improvement of the elemental kin, arguably the main primary kin of new release capabilities, deriving many astonishing and novel theoretical and sensible purposes similar to: algorithms for approximation of roots of polynomials and analytic capabilities, polynomiography, bounds on zeros of polynomials, formulation for the approximation of Pi, and characterizations or visualizations linked to a homogeneous linear recurrence relation. those discoveries and a collection of lovely photos that supply new visions, even of the well known polynomials and recurrences, are the make-up of a truly fascinating publication. This ebook is a needs to for mathematicians, scientists, complex undergraduates and graduates, yet is additionally for a person with an appreciation for the connections among a superbly artistic paintings shape and its old mathematical foundations. Contents: Approximation of Square-Roots and Their Visualizations; the basic Theorem of Algebra and a distinct Case of Taylor s Theorem; creation to the elemental relations and Polynomiography; similar Formulations of the fundamental family members; easy relations as Dynamical approach; mounted issues of the elemental relatives; Algebraic Derivation of the fundamental relations and Characterizations; The Truncated uncomplicated kin and the Case of Halley family members; Characterizations of suggestions of Homogeneous Linear Recurrence kinfolk; Generalization of Taylor s Theorem and Newton s process; The Multipoint easy relations and Its Order of Convergence; A Computational examine of the Multipoint simple kin; A normal Determinantal decrease sure; formulation for Approximation of Pi in line with Root-Finding Algorithms; Bounds on Roots of Polynomials and Analytic services; a geometrical Optimization and Its Algebraic Offsprings; Polynomiography: Algorithms for visualisation of Polynomial Equations; Visualization of Homogeneous Linear Recurrence kinfolk; functions of Polynomiography in artwork, schooling, technological know-how and arithmetic; Approximation of Square-Roots Revisited; extra functions and Extensions of the elemental kin and Polynomiography.

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