finsler geometry, hypercomplex numbers and physics
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Books about hypercomplex numbers, Finsler geometry ant etc.
b999



b962


English: Russian:
book_lectures-opt.pdf, 6608,305 Kb, PDF

Basics of Finsler geometry for physicists
b960 | G.I. Garas`ko  // Moscow, TETRU, 2009 (in Russian)

The monograph is dedicated to fundamental ideas, methods and physical applications of Finsler geometry. It has been shown that the physical World corresponds not only to one but to some class of Finsler geometries. The proposed self-efficiency principle of Finsler geometries permits to apply geometrical approach in the field theory in this case gravitation and electromagnetism unite in natural way. For spaces conformally associated with Finsler spaces the notion of conformal potential is introduced that gives possibility to create in arbitrary Finsler space of any dimension the analogue of the complex potential theory on Euclidian plane. The notion of conformal potential is closely connected with the notion of the World function.


English: Russian:
00-gbook.pdf, 1814,651 Kb, PDF

The Theory of Linear Connections in the Differential Geometry of Accelerations
b952 | Gheorghe Atanasiu  // Moscow: «SFK-Office», 2007. -- 162 pp.

This book presents the theory of linear connections in the differential geometry of second order. In the first part (Chapters 1-3) this theory is studied in the 2-jet bundle. The second part (Chapters 4-6) is devoted to the theory of linear connections in the differential geometry of the second order cotangent bundle.


English: Russian:
carte-new.pdf, 837,502 Kb, PDF

Book "Space-Time Structure. Algebra and Geometry"
b950 | D. G. Pavlov, Gh. Atanasiu, V. Balan (eds.)  // Moscow: Lilia-Print, 2007. -- 528 pp.

The present volume contains selected articles published in the scientific journal ``Hypercomplex Numbers in Geometry and Physics'' (numbers 1--6).
The topics covered by the included contributions range from hypercomplex algebras to associated Finsler geometries, focusing on the commutative-associative algebras and on Berwald-Moor metric structures, applications of polynumber algebras in Physics, and Finslerian extensions of Relativity Theory.


English: Russian:
00-book.pdf, 5809,177 Kb, PDF

"Hypercomplex Numbers in geometry and Physics" # 17-206
b917


English: Russian:
hngp_n18.pdf, 3111,558 Kb, PDFhngp_n19-m.pdf, 7507,520 Kb, PDFhngp_n17-b.pdf, 3290,534 Kb, PDFhngp_n20.pdf, 2773,237 Kb, PDF hngp_n18.pdf, 3111,558 Kb, PDFhngp_n19-m.pdf, 7507,520 Kb, PDFhngp_n17-b.pdf, 3290,534 Kb, PDFhngp_n20.pdf, 2773,237 Kb, PDF

"Hypercomplex Numbers in geometry and Physics" # 13--16
b913


English: Russian:
hngp-16.pdf, 3318,866 Kb, PDFhngp-14.pdf, 6185,649 Kb, PDFmain-15.pdf, 3641,150 Kb, PDFhngp-13.pdf, 7840,693 Kb, PDF hngp-16.pdf, 3318,866 Kb, PDFhngp-14.pdf, 6185,649 Kb, PDFmain-15.pdf, 3641,150 Kb, PDFhngp-13.pdf, 7840,693 Kb, PDF

"Hypercomplex Numbers in geometry and Physics" # 9--12
b909


English: Russian:
main-12-opt.pdf, 3674,520 Kb, PDFmain-11.pdf, 6132,884 Kb, PDFmain-10.pdf, 2271,226 Kb, PDFmain-09.pdf, 2546,308 Kb, PDF

"Hypercomplex Numbers in geometry and Physics" # 5--8
b905


English: Russian:
main-08.pdf, 4363,461 Kb, PDFmain-07.pdf, 1910,699 Kb, PDFmain-06.pdf, 2776,707 Kb, PDFmain-05.pdf, 3215,648 Kb, PDF

"Hypercomplex Numbers in geometry and Physics" # 1--4
b901


English: Russian:
main-01e.pdf, 1141,196 Kb, PDFmain-02e.pdf, 1389,159 Kb, PDF main-03.pdf, 1865,570 Kb, PDFmain-04.pdf, 1741,684 Kb, PDFmain-02.pdf, 1651,735 Kb, PDFmain-01.pdf, 1921,537 Kb, PDF


b030


English: Russian:
poiskimehgrav.djvu, 12545,474 Kb, DJVU


b028


English: Russian:
kvaterniony v reljativistskoj fizike.pdf, 6581,459 Kb, PDF


b026 | Kazanova


English: Russian:
kazanova.djvu, 922,78 Kb, DJVU


b024 | Arnold V. I.


English: Russian:
via-kvatern.pdf, 412,150 Kb, PDFvia-kvatern.djvu, 296,864 Kb, DJVU


b022


English: Russian:
Дж. Конвей, Д. Смит - О кватернионах и октавах - 2009.djvu, 2757,272 Kb, DJVU

Hypercomplex Numbers
b020 | Kantor, Solodovnikov

The remarkable book after which perusal it is difficult "not be ill" with hypercomplex numbers.


English: Russian:
kantor-hyp.djvu, 6026,778 Kb, DJVU


b019


English: Russian:
lavr-shabat2.djvu, 4849,861 Kb, DJVU


b018


English: Russian:
Соколов Н.П. - Введение в теорию многомерных матриц (Наукова думка) - 1972.djvu, 3268,550 Kb, DJVU


b017


English: Russian:
Соколов Н.П. - Пространственные матрицы и их приложения.djvu, 5988,221 Kb, DJVU

Differential Geometry of Finsler Spaces
b016 | Rund H.


English: Russian:
rund2.djvu, 5980,314 Kb, DJVU


b015

The classical book.


English: Russian:
schutz.djvu, 2633,853 Kb, DJVU


b014 | Efimov


English: Russian:
efimov-tvform.djvu, 1245,294 Kb, DJVU


b011


English: Russian:
rashevski.djvu, 7493,1020 Kb, DJVU


b010


English: Russian:
rash-pol.djvu, 1773,292 Kb, DJVU


b004


English: Russian:
klein-ne.djvu, 12201,673 Kb, DJVU


b002


English: Russian:
osnov-geom.djvu, 13656,410 Kb, DJVU
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