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, WORD

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, WORD

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, WORD

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, WORD

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


English: Russian:
hngp_n20.pdf, 2773,237 Kb, WORDhngp_n18.pdf, 3111,558 Kb, WORDhngp_n19-m.pdf, 7507,520 Kb, WORDhngp_n17-b.pdf, 3290,534 Kb, WORD hngp_n20.pdf, 2773,237 Kb, WORDhngp_n18.pdf, 3111,558 Kb, WORDhngp_n19-m.pdf, 7507,520 Kb, WORDhngp_n17-b.pdf, 3290,534 Kb, WORD

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


English: Russian:
hngp-13.pdf, 7840,693 Kb, WORDmain-15.pdf, 3641,150 Kb, WORDhngp-16.pdf, 3318,866 Kb, WORDhngp-14.pdf, 6185,649 Kb, WORD hngp-13.pdf, 7840,693 Kb, WORDmain-15.pdf, 3641,150 Kb, WORDhngp-16.pdf, 3318,866 Kb, WORDhngp-14.pdf, 6185,649 Kb, WORD

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


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

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


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

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


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


b030


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


b028


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


b026 | Kazanova


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


b024 | Arnold V. I.


English: Russian:
via-kvatern.pdf, 412,150 Kb, WORDvia-kvatern.djvu, 296,864 Kb, WORD


b022


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

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, WORD


b019


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


b018


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


b017


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

Differential Geometry of Finsler Spaces
b016 | Rund H.


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


b015

The classical book.


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


b014 | Efimov


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


b011


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


b010


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


b004


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


b002


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