Titlebook: Real Quaternionic Calculus Handbook; Jo?o Pedro Morais,Svetlin Georgiev,Wolfgang Spr??i Textbook 2014 Springer Basel 2014 quaternion analy

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書目名稱Real Quaternionic Calculus Handbook影響因子(影響力)




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書目名稱Real Quaternionic Calculus Handbook讀者反饋學(xué)科排名

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https://doi.org/10.1007/978-3-0348-0622-0quaternion analysis; quaternion elementary functions; quaternion matrices; quaternion operations; quater

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An Introduction to Quaternions,Once we start studying quaternionic analysis we take part in a wonderful experience, full of insights. This ideology is shown, for instance, when we start describing the first results and pursuing the subject, while the amazement lingers on through the elegance and smoothness of the results.

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Quaternions and Spatial Rotation,The particularly rich theory of rotations does not need advertising. One can think of a rotation as a transformation in the plane or in space that describes the position and orientation of a three-dimensional rigid body around a fixed point. The first ever study of rotations was published by L. Euler in 1776.

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Quaternion Series and Infinite Products,An essential feature of the classical theory of power series is that we can manipulate recurrence relations for power series without necessarily worrying about whether the underlying series converge. In case they do converge, we can extract important information about the recurrence relation that may not otherwise be easily obtainable.

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Exponents and Logarithms,The real exponential and logarithmic functions play an important role in advanced mathematics, including applications to calculus, differential equations, and complex analysis. In this chapter we use the properties of quaternions described in the previous chapters to define and study the quaternionic analogues of these functions.

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Textbook 2014rence work. With exercises at the end of each chapter and its straightforward writing style thebook addresses readers who have no prior knowledge on this subject but have a basic background in graduate mathematics courses, such as real and complex analysis, ordinary differential equations, partial d

Spinous-Process

Jo?o Pedro Morais,Svetlin Georgiev,Wolfgang Spr??igpture both reductions and increments in environmental quality and natural resources. This first attempt to transfer environmental values seems to be the calculation of lost recreational value from the Hell’s Canyon hydroelectric project more than 30 years ago, as described by John V. Krutilla and An