COMPLEX NUMBERS IN GEOMETRY - I.M.YAGLOM PDF

Complex Numbers in Geometry focuses on the principles, interrelations, and applications of geometry and algebra. The book first offers information on the types and geometrical interpretation of complex numbers. Topics include interpretation of ordinary complex numbers in the Lobachevskii plane; double numbers as oriented lines of the Lobachevskii plane; dual numbers as oriented lines of a plane; most general complex numbers; and double, hypercomplex, and dual numbers. The text then takes a look at circular transformations and circular geometry, including ordinary circular transformations, axial circular transformations of the Lobachevskii plane, circular transformations of the Lobachevskii plane, axial circular transformations, and ordinary circular transformations. The manuscript is intended for pupils in high schools and students in the mathematics departments of universities and teachers' colleges.

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Complex Numbers in Geometry focuses on the principles, interrelations, and applications of geometry and algebra. The book first offers information on the types and geometrical interpretation of complex numbers. Topics include interpretation of ordinary complex numbers in the Lobachevskii plane; double numbers as oriented lines of the Lobachevskii plane; dual numbers as oriented lines of a plane; most general complex numbers; and double, hypercomplex, and dual numbers.

The text then takes a look at circular transformations and circular geometry, including ordinary circular transformations, axial circular transformations of the Lobachevskii plane, circular transformations of the Lobachevskii plane, axial circular transformations, and ordinary circular transformations. The manuscript is intended for pupils in high schools and students in the mathematics departments of universities and teachers' colleges.

The publication is also useful in the work of mathematical societies and teachers of mathematics in junior high and high schools. We are always looking for ways to improve customer experience on Elsevier. We would like to ask you for a moment of your time to fill in a short questionnaire, at the end of your visit. If you decide to participate, a new browser tab will open so you can complete the survey after you have completed your visit to this website.

Thanks in advance for your time. Skip to content. Search for books, journals or webpages All Pages Books Journals. However, due to transit disruptions in some geographies, deliveries may be delayed. View on ScienceDirect. Author: I. Editors: Henry Booker D. Allan Bromley Nicholas DeClaris. Imprint: Academic Press. Published Date: 1st January Page Count: Flexible - Read on multiple operating systems and devices.

Easily read eBooks on smart phones, computers, or any eBook readers, including Kindle. Institutional Subscription. Free Shipping Free global shipping No minimum order. Ordinary Complex Numbers 2. Generalized Complex Numbers 3. The Most General Complex Numbers 4. Dual Numbers 5. Double Numbers 6. Ordinary Complex Numbers as Points of a Plane 8.

Applications and Examples 9. Dual Numbers as Oriented Lines of a Plane Applications and Examples Axial Circular Transformations Laguerre Transformations Circular Transformations of the Lobachevskii Plane Non-Euclidean Geometries in the Plane A2. Cycles and Circular Transformations Addenda Index.

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Complex Numbers in Geometry

Upload Sign In Join. Home Books Science. Create a List. Download to App. Length: pages. Description Complex Numbers in Geometry focuses on the principles, interrelations, and applications of geometry and algebra. The book first offers information on the types and geometrical interpretation of complex numbers.

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Complex Numbers in Geometry. Complex Numbers in Geometry focuses on the principles, interrelations, and applications of geometry and algebra. The book first offers information on the types and geometrical interpretation of complex numbers. Topics include interpretation of ordinary complex numbers in the Lobachevskii plane; double numbers as oriented lines of the Lobachevskii plane; dual numbers as oriented lines of a plane; most general complex numbers; and double, hypercomplex, and dual numbers. The text then takes a look at circular transformations and circular geometry, including ordinary circular transformations, axial circular transformations of the Lobachevskii plane, circular transformations of the Lobachevskii plane, axial circular transformations, and ordinary circular transformations. The manuscript is intended for pupils in high schools and students in the mathematics departments of universities and teachers' colleges. The publication is also useful in the work of mathematical societies and teachers of mathematics in junior high and high schools.

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