Books and monographs
B1R. Supermanifold theory. Karelia Branch of the USSR Acad. of Sci.,
Petrozavodsk, 1983, 200 pp. (in Russian) The first monograph on
the subject. In preprints, especially no. 30, 31 below, its contents
is expanded. Its expanded version [B2] is currently being translated
from the English into French and Chinese.
In preparation
- B2
Textbook on supermanifolds: algebra and calculus (Seminar
on supermanifolds, v. 1) (with J.Bernstein, Yu.Manin and V.Shander)
(about 250 \TeX ed pages)
- B3
Textbook on Lie superalgebras
(Seminar on supermanifolds, v. 2) (with V.Serganova, I.Shepochkina,
A.Sergeev) (about 250 \TeX ed pages)
- B4
From supergravity to ballbearings. (The analog of the
Riemann tensor for nonholonomic manifolds and supermanifolds) (Seminar
on supermanifolds, v. 3) (with P.Grozman) (about 250 \TeX ed pages)
- B5
Superization of equations of mathematical physics
(Seminar on supermanifolds, v. 4) (about 150 \TeX ed pages)
- B6
Lectures on representations of finite and compact groups and
supergroups
Books edited
E.1 Introduction to superanalysis.
By F.A.Berezin (A.A.Kirillov, Ed.) (Moscow, ITEP, 1985), English edition
edited by D.Leites. Dordrecht, Netherlands: Reidel (1987) 424 pp.
In preparation
2-4*. Moscow Mathematical Olympiads. v. 1. First years (Olympiads 1--30); (compiled with Galperin G., Tolpygo A., Grozman P. and
Shapovalov A.); (about 300 \TeX ed pages)
v. 2. Difficult years (Olympiads
31--50); (compiled with Galperin G., Tolpygo A., Grozman P. and
Shapovalov A.); (about 300 \TeX ed pages)
v. 3. Recent years (Olympiads
51--60) (compiled with Kanel--Belov A., Galperin G., Grozman P. and
Shapovalov A.) (about 300 \TeX ed pages)
Books translated
A.Onishchik and E.Vinberg, Seminar on Lie groups and algebraic groups, Springer, 1990
V.Bogaevsky and A.Povz ner, The method
of small parameter, Springer, 1990
F.Berezin, Introduction to
superanalysis, Kluwer, 1987
F.Berezin and M.Shubin, Schredinger equation, Kluwer, 1991
N.Bakhvalov and Panasenko,
Layered media, M.Vishik and Fursikov, Mathemerical methods of
hydrodinamics, Kluwer, 1991
A.Leznov and M.Saveliev,
Group-theoretical methods for integrating nonlinear systems, Birkhauser, 1992
V.Prasolov, Problems and theorems in linear
algebra, AMS, 1995
V.Prasolov and Yu.Soloviev, Elliptic
functions and elliptic integras, AMS, 1997
To be published
Comment: papers and books ``in preparation'' (except B3-B6) are ready
for perusal though some editing is still required.