#### Leonard Euler Elemens d'algebre. Pt. 2

#### Ronald S Calinger Leonhard Euler's Letters to a German Princess

Leonhard Euler's Letters to a German Princess: A Milestone in the History of Physics Textbooks and More is a milestone in the history of physics textbooks and the instruction of women in the sciences. It also covers views of its author on epistemology, religion, and innovations in scientific equipment, including telescopes and microscopes. Today, 250 years later, we study this work of Euler's as a foundation for the history of physics teaching and analyze the letters from an historical and pedagogical point of view.

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Подробнее#### Markus Topf Mord in Serie, Folge 22: Safe House

"Der resignierte Kriminalbeamte Matthias Euler und seine Kollegen werden zum Schutz einer wichtigen Zeugin abgestellt. Doch statt eines modernen Safe House am Rande der Stadt, erwartet sie als Unterschlupf ein heruntergekommener Plattenbau in Halle-Neustadt. Wäre das nicht bereits übel genug, scheint es einen Maulwurf in ihren Reihen zu geben. Als der Gangsterboss Broski ein Kopfgeld aussetzt, geht es ums nackte Überleben. "

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Подробнее#### Shabana Ahmed A. Einführung in die Mehrkörpersimulation

Mehrkorperdynamik ist komplex – mit diesem im Blick auf Didaktik und thematische Breite einmaligen Buch lernt man die Modellierung, Simulation und Auslegung von Mehrkorpersystemen zu beherrschen. Das Buch besteht aus neun Kapiteln, die die Grundlagen und Berechnungsverfahren der Kinematik und Dynamik von Mehrkorpersystemen behandeln: * Uberblick uber die im Buch verwendeten Definitionen und Notationen * Abriss der Matrix- und Vektoralgebra sowie der verbreitetsten Methoden zur Losung algebraischer Gleichungssysteme Kinematik eingeschrankt beweglicher Mehrkorpersysteme * verschiedene Formen der dynamischen Grundgleichungen auf Basis der Newtonschen Mechanik * Lagrange-Gleichung und kanonische Form der Bewegungsgleichungen auf Grundlage des Konzepts der virtuellen Arbeit * computergestutzte Berechnungsverfahren der Mehrkorperdynamik * raumliche Kinematik und Dynamik von Mehrkorpersystemen * spezielle Themen der Mehrkorperdynamik: Kreiselbewegung, Rodriguez-Formel, Euler- und Rodriguez-Parameter, Quaternionen und Festkorperkontakt sowie Stabilitatsbetrachtungen mit der Eigenwertanalyse * Beschreibung von Mehrkorpersystem-Simulationscodes anhand des verbreiteten SAMS/2000-Codes

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Подробнее#### Sujaul Chowdhury Numerical Solutions of Initial Value Problems Using Mathematica

The book contains a detailed account of numerical solutions of differential equations of elementary problems of Physics using Euler and 2nd order Runge-Kutta methods and Mathematica 6.0. The problems are motion under constant force (free fall), motion under Hooke's law force (simple harmonic motion), motion under combination of Hooke's law force and a velocity dependent damping force (damped harmonic motion) and radioactive decay law. Also included are uses of Mathematica in dealing with complex numbers, in solving system of linear equations, in carrying out differentiation and integration, and in dealing with matrices.

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Подробнее#### Shinil Cho Numerical Calculation for Physics Laboratory Projects Using Microsoft EXCEL®

This book covers essential Microsoft EXCEL®'s computational skills while analyzing introductory physics projects. Topics of numerical analysis include; multiple graphs on the same sheet, calculation of descriptive statistical parameters, a 3-point interpolation, the Euler and the Runge-Kutter methods to solve equations of motion, the Fourier transform to calculate the normal modes of a double pendulum, matrix calculations to solve coupled linear equations of a DC circuit, animation of waves and Lissajous figures, electric and magnetic field calculations from the Poisson equation and its 3D surface graphs, variational calculus such as Fermat's least traveling time principle and the least action principle. Nelson's stochastic quantum dynamics is also introduced to draw quantum particle trajectories.

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Подробнее#### Ken Anjyo Mathematical Basics of Motion and Deformation in Computer Graphics

This synthesis lecture presents an intuitive introduction to the mathematics of motion and deformation in computer graphics. Starting with familiar concepts in graphics, such as Euler angles, quaternions, and affine transformations, we illustrate that a mathematical theory behind these concepts enables us to develop the techniques for efficient/effective creation of computer animation. This book, therefore, serves as a good guidepost to mathematics (differential geometry and Lie theory) for students of geometric modeling and animation in computer graphics. Experienced developers and researchers will also benefit from this book, since it gives a comprehensive overview of mathematical approaches that are particularly useful in character modeling, deformation, and animation.

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Подробнее#### Erasmo Carrera Beam Structures

Beam theories are exploited worldwide to analyze civil, mechanical, automotive, and aerospace structures. Many beam approaches have been proposed during the last centuries by eminent scientists such as Euler, Bernoulli, Navier, Timoshenko, Vlasov, etc. Most of these models are problem dependent: they provide reliable results for a given problem, for instance a given section and cannot be applied to a different one. Beam Structures: Classical and Advanced Theories proposes a new original unified approach to beam theory that includes practically all classical and advanced models for beams and which has become established and recognised globally as the most important contribution to the field in the last quarter of a century. The Carrera Unified Formulation (CUF) has hierarchical properties, that is, the error can be reduced by increasing the number of the unknown variables. This formulation is extremely suitable for computer implementations and can deal with most typical engineering challenges. It overcomes the problem of classical formulae that require different formulas for tension, bending, shear and torsion; it can be applied to any beam geometries and loading conditions, reaching a high level of accuracy with low computational cost, and can tackle problems that in most cases are solved by employing plate/shell and 3D formulations. Key features: compares classical and modern approaches to beam theory, including classical well-known results related to Euler-Bernoulli and Timoshenko beam theories pays particular attention to typical applications related to bridge structures, aircraft wings, helicopters and propeller blades provides a number of numerical examples including typical Aerospace and Civil Engineering problems proposes many benchmark assessments to help the reader implement the CUF if they wish to do so accompanied by a companion website hosting dedicated software MUL2 that is used to obtain the numerical solutions in the book, allowing the reader to reproduce the examples given in the book as well as to solve other problems of their own www.mul2.com Researchers of continuum mechanics of solids and structures and structural analysts in industry will find this book extremely insightful. It will also be of great interest to graduate and postgraduate students of mechanical, civil and aerospace engineering.

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Подробнее#### Anthony Kelly Crystallography and Crystal Defects

The classic book that presents a unified approach to crystallography and the defects found within crystals, revised and updated This new edition of Crystallography and Crystal Defects explains the modern concepts of crystallography in a clear, succinct manner and shows how to apply these concepts in the analyses of point, line and planar defects in crystalline materials. Fully revised and updated, this book now includes: Original source references to key crystallographic terms familiar to materials scientists Expanded discussion on the elasticity of cubic materials New content on texture that contains more detail on Euler angles, orientation distribution functions and an expanded discussion on examples of textures in engineering materials Additional content on dislocations in materials of symmetry lower than cubic An expanded discussion of twinning which includes the description and classification of growth twins The inclusion and explanation of results from atomistic modelling of twin boundaries Problem sets with new questions, detailed worked solutions, supplementary lecture material and online computer programs for crystallographic calculations. Written by authors with extensive lecturing experience at undergraduate level, Crystallography and Crystal Defects, Third Edition continues to take its place as the core text on the topic and provides the essential resource for students and researchers in metallurgy, materials science, physics, chemistry, electrical, civil and mechanical engineering.

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Подробнее#### Rainer Ansorge Mathematical Models of Fluid Dynamics

Without sacrificing scientific strictness, this introduction to the field guides readers through mathematical modeling, the theoretical treatment of the underlying physical laws and the construction and effective use of numerical procedures to describe the behavior of the dynamics of physical flow. The book is carefully divided into three main parts: – The design of mathematical models of physical fluid flow; – A theoretical treatment of the equations representing the model, as Navier-Stokes, Euler, and boundary layer equations, models of turbulence, in order to gain qualitative as well as quantitative insights into the processes of flow events; – The construction and effective use of numerical procedures in order to find quantitative descriptions of concrete physical or technical fluid flow situations. Both students and experts wanting to control or predict the behavior of fluid flows by theoretical and computational fluid dynamics will benefit from this combination of all relevant aspects in one handy volume.

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Подробнее#### David Dooner B. Kinematic Geometry of Gearing

Building on the first edition published in 1995 this new edition of Kinematic Geometry of Gearing has been extensively revised and updated with new and original material. This includes the methodology for general tooth forms, radius of torsure’, cylinder of osculation, and cylindroid of torsure; the author has also completely reworked the ‘3 laws of gearing’, the first law re-written to better parallel the existing ‘Law of Gearing” as pioneered by Leonard Euler, expanded from Euler’s original law to encompass non-circular gears and hypoid gears, the 2nd law of gearing describing a unique relation between gear sizes, and the 3rd law completely reworked from its original form to uniquely describe a limiting condition on curvature between gear teeth, with new relations for gear efficiency are presented based on the kinematics of general toothed wheels in mesh. There is also a completely new chapter on gear vibration load factor and impact. Progressing from the fundamentals of geometry to construction of gear geometry and application, Kinematic Geometry of Gearing presents a generalized approach for the integrated design and manufacture of gear pairs, cams and all other types of toothed/motion/force transmission mechanisms using computer implementation based on algebraic geometry.

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Подробнее#### Sam Vaseghi The Secret Harmony of Primes

The sequence of the primes is something of a mystery in number theory‚ if not in all of mathematics. Hardly any topic has ever fascinated mathe¬maticians more. Euler once said‚ “Mathematicians have tried in vain‚ to this day‚ to discover some order in the sequence of prime numbers‚ and we have reason to believe that it is a mystery into which the mind will never penetrate”. One key question has always been: Does there exist a single‚ overarching organisational principle that accounts for why any prime follows another prime as the next largest prime in the prime sequence? <br/> A primary aim of this book is to show that such over¬arching and comprehensive principles do exist and govern the entire prime sequence. To unlock these secrets of harmony‚ for the enthusiastic reader‚ it is not necessary to dive too deep into mathematics‚ but to unveil structures of organisation from different points of view. <br/> <em>The Secret Harmony of Primes</EM> was written in 2012-2015 and represents a collection of the author's work in prime number theory throughout the last decades‚ woven into a comprehensible storyline.

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Подробнее#### Группа авторов Mathematical Models of Fluiddynamics

This introduction to the field contains a careful selection of topics and examples without sacrificing scientific strictness. The author guides readers through mathematical modelling, the theoretical treatment of the underlying physical laws and the construction and effective use of numerical procedures to describe the behaviour of the dynamics of physical flow. Both students and experts intending to control or predict the behavior of fluid flows by theoretical and computational fluid dynamics will benefit from the combination of all relevant aspects in one handy volume. The book consists of three main parts: – The design of mathematical models of physical fluid flow; – A theoretical treatment of the equations representing the model, as Navier-Stokes, Euler, and boundary layer equations, models of turbulence, in order to gain qualitative as well as quantitative insights into the processes of flow events; – The construction and effective use of numerical procedures in order to find quantitative descriptions of concrete physical or technical fluid flow situations. This is the first text of its kind to merge all these subjects so thoroughly.

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Подробнее#### Etienne Dombre Robot Manipulators

This book presents the most recent research results on modeling and control of robot manipulators. Chapter 1 gives unified tools to derive direct and inverse geometric, kinematic and dynamic models of serial robots and addresses the issue of identification of the geometric and dynamic parameters of these models. Chapter 2 describes the main features of serial robots, the different architectures and the methods used to obtain direct and inverse geometric, kinematic and dynamic models, paying special attention to singularity analysis. Chapter 3 introduces global and local tools for performance analysis of serial robots. Chapter 4 presents an original optimization technique for point-to-point trajectory generation accounting for robot dynamics. Chapter 5 presents standard control techniques in the joint space and task space for free motion (PID, computed torque, adaptive dynamic control and variable structure control) and constrained motion (compliant force-position control). In Chapter 6, the concept of vision-based control is developed and Chapter 7 is devoted to specific issue of robots with flexible links. Efficient recursive Newton-Euler algorithms for both inverse and direct modeling are presented, as well as control methods ensuring position setting and vibration damping.

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