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- Alexander_Dmitrievich_Bruno abstract "Mathematician Bruno, Alexander Dmitrievich (Russian: Брюно Александр Дмитриевич) made substantial contribution to the normal forms theory. Bruno developed a new level of Mathematical Analysis and called it "Power Geometry". He also applied it for solution of several difficult problems in Mathematics, Mechanics, Celestial Mechanics, and Hydrodynamics. Traditional differential calculus is effective for linear and quasilinear problems. It is less effective for essentially nonlinear problems. A linear problem is the first approximation to a quasilinear problem. Usually a linear problem is solved by methods of functional analysis, then the solution to the quasilinear problem is found as a perturbation of the solution to the linear problem. For an essentially nonlinear problem, we need to isolate its first approximations, to find their solutions, and to construct perturbations of these solutions. This is what Power Geometry (PG) is aimed at. For equations and systems of equations (algebraic, ordinary differential, and partial differential), PG allows to compute asymptotic forms of solutions as well as asymptotic and local expansions of solutions at infinity and at any singularity of the equations (including boundary layers and singular perturbations). Elements of plane PG were proposed by I. Newton for an algebraic equation (1680); and by Briot (1817–1882) and Bouquet (1819–1895) for an ordinary differential equation (1856). Space PG was proposed by A.D. Bruno for a nonlinear autonomous system of ODEs.Bruno is the inventor and founder of The Universal Nonlinear Analysis (UNA). UNA is a new level of Calculus beyond ordinary mathematical analysis and functional analysis. UNA supersedes and surpasses them on many levels. UNA is based on PG, which is a very powerful tool for "Asymptotic Solving" of all nonlinear problems. In fact, for the last 30 years Bruno is trying to find a problem that he could not solve. He has not succeeded yet in this endeavor, but he keeps trying.Meanwhile, he continues to develop PG as a New Calculus. The Space PG was invented by Bruno in 1962, but only recently he managed to upgraded PG to itsthree-dimensional version (3DPG).Bruno is among 500 of the most influential people of the last century. He has a diploma to prove it (in fact, he has 6 of them). The diploma cost him a mere $5000 US dollars, and it was worth every penny. With the diploma came a book where he and other most influential people are listed. You'll have to consult Bruno for their names.His motto: All is shit except urine (it is published in that book with the diploma).His favorite saying: Thinking is detrimental to your health (it was a banner spanned across his cabinet for 10 years).It should be noted that Bruno is a healthy person for his age. Bruno is very active and, despite his age, keeps up with modern trends in science. For example, he invented Nano-mathematics (it is a branch of mathematics where PG actually works, that's why it's called Nano) , and he is familiar with Idempotent and with Tropical mathematics. He also knows several people who know computer algebra.".
- Alexander_Dmitrievich_Bruno birthDate "1940".
- Alexander_Dmitrievich_Bruno birthYear "1940".
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- Alexander_Dmitrievich_Bruno dateOfBirth "1940".
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- Alexander_Dmitrievich_Bruno name "Bruno, Alexander Dmitrievich".
- Alexander_Dmitrievich_Bruno shortDescription "Russian mathematician".
- Alexander_Dmitrievich_Bruno description "Russian mathematician".
- Alexander_Dmitrievich_Bruno description "Russian mathematician".
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- Alexander_Dmitrievich_Bruno comment "Mathematician Bruno, Alexander Dmitrievich (Russian: Брюно Александр Дмитриевич) made substantial contribution to the normal forms theory. Bruno developed a new level of Mathematical Analysis and called it "Power Geometry". He also applied it for solution of several difficult problems in Mathematics, Mechanics, Celestial Mechanics, and Hydrodynamics. Traditional differential calculus is effective for linear and quasilinear problems. It is less effective for essentially nonlinear problems.".
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- Alexander_Dmitrievich_Bruno name "Alexander Dmitrievich Bruno".
- Alexander_Dmitrievich_Bruno name "Bruno, Alexander Dmitrievich".
- Alexander_Dmitrievich_Bruno surname "Bruno".
