Complex Numbers in n Dimensions - Image 1

£67.99

North Holland Complex Numbers in n Dimensions

Name: Complex Numbers in n Dimensions
Brand: North Holland
Price: 67.99 GBP
Availability: InStock

Algebra

It has never been this cheap. We have no record of a lower price.

£68 today · cheaper than every other day in the last 3 months

NEW HERE?

Amazon shows you one price. We show you all of them.

Tosheroon watches Amazon prices so you don't have to. Every product on Amazon has a price history — we make it visible. Set the price you'd actually pay, and we'll email you the second it gets there. No app, no account, one email.

WHAT'S ON THIS PAGE

↓ Price chart
when this has been cheap or pricey

↓ Forecast
where the price is heading next

↓ Statistics
all-time high & low, recent range

↑ Price alert
name your number, we'll email you

Price History & Forecast

Grey patches = out of stock. Cheaper = lower on the chart. Hover for exact prices.

Last 65 days · 65 data points (no recent data)

Historical

Generating forecast…

Price Distribution

Price distribution over 65 days • 1 price levels

Days at Price

Price Analysis

Most common price: £68 (65 days, 100.0%)

Price range: £68 - £68

Price levels: 1 different prices over 65 days

Description

Two distinct systems of hypercomplex numbers in n dimensions are introduced in this book, for which the multiplication is associative and commutative, and which are rich enough in properties such that exponential and trigonometric forms exist and the concepts of analytic n-complex function, contour integration and residue can be defined. The first type of hypercomplex numbers, called polar hypercomplex numbers, is characterized by the presence in an even number of dimensions greater or equal to 4 of two polar axes, and by the presence in an odd number of dimensions of one polar axis. The other type of hypercomplex numbers exists as a distinct entity only when the number of dimensions n of the space is even, and since the position of a point is specified with the aid of n/2-1 planar angles, these numbers have been called planar hypercomplex numbers. The development of the concept of analytic functions of hypercomplex variables was rendered possible by the existence of an exponential form of the n-complex numbers. Azimuthal angles, which are cyclic variables, appear in these forms at the exponent, and lead to the concept of n-dimensional hypercomplex residue. Expressions are given for the elementary functions of n-complex variable. In particular, the exponential function of an n-complex number is expanded in terms of functions called in this book n-dimensional cosexponential functions of the polar and respectively planar type, which are generalizations to n dimensions of the sine, cosine and exponential functions. In the case of polar complex numbers, a polynomial can be written as a product of linear or quadratic factors, although it is interesting that several factorizations are in general possible. In the case of planar hypercomplex numbers, a polynomial can always be written as a product of linear factors, although, again, several factorizations are in general possible.

Product Specifications

Brand: North Holland
Format: paperback
ASIN: 0444551883
Category: Books > Subjects > Science, Nature & Maths > Mathematics > Algebra
Domain: Amazon UK
Release Date: 05 April 2013
Listed Since: 16 April 2013

Barcode

No barcode data available

North Holland Complex Numbers in n Dimensions

It has never been this cheap. We have no record of a lower price.

Price History & Forecast

Price Distribution

Price Analysis

Description

Product Specifications

Barcode

Similar Products You Might Like

Complex Numbers in n Dimensions (Volume 190) (North-Holland Mathematics Studies, Volume 190)

Complex Polynomials: 75 (Cambridge Studies in Advanced Mathematics, Series Number 75)

Introduction to Complex Analysis (Graduate Studies in Mathematics)

Complex Variables with Applications

Lecture Notes On Complex Analysis

Functions of a Complex Variable

Applied Complex Variables for Scientists and Engineers

Complex Variables: A Physical Approach with Applications (Textbooks in Mathematics)

Lecture Notes On Complex Analysis

Complex Analysis (Undergraduate Texts in Mathematics)

Complex Numbers from A to ... Z

Functions of One Complex Variable II: 159 (Graduate Texts in Mathematics, 159)

Visual Complex Analysis: 25th Anniversary Edition

Visual Complex Analysis: 25th Anniversary Edition

An Introduction to Complex Analysis and Geometry (Pure and Applied Undergraduate Texts)

Complex Analysis: In the Spirit of Lipman Bers: 245 (Graduate Texts in Mathematics, 245)

Complex Analysis with Applications (Undergraduate Texts in Mathematics)

Complex Variables: Introduction and Applications Second Edition: 35 (Cambridge Texts in Applied Mathematics, Series Number 35)

Topics in Complex Analysis (Universitext)

Hidden Harmony―Geometric Fantasies: The Rise of Complex Function Theory (Sources and Studies in the History of Mathematics and Physical Sciences)

Complex Analysis and Dynamical Systems - Contemporary Mathematics

Problems and Solutions for Complex Analysis

Geometry and Complex Variables: proceedings of an international meeting on the occasion of the IX centennial of the University of Bologna: 132 (Lecture Notes in Pure and Applied Mathematics)

Finite or Infinite Dimensional Complex Analysis: proceedings of the Seventh International Colloquium: 214 (Lecture Notes in Pure and Applied Mathematics)