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 Book Id: WPLBN0002097095 ► Abstract Full Text Search Details...plex algebraic curves. For introducing this concept, it is need to enlarge analytic functions to those of dianalytic functions ﬁrst. Now let f : A−→C ... ...braic curves. For introducing this concept, it is need to enlarge analytic functions to those of dianalytic functions ﬁrst. Now let f : A−→C be a mapp... ...= √ −1,z = x−iy and f(z) = u(x,y)+iv(x,y) f(z) = u(x,y)−iv(x,y)for certain functions u,v :A−→R. A mapping f :A−→C is analytic on A if ∂f ∂z = 0 (Cauch... ...f(z) = u(x,y)−iv(x,y)for certain functions u,v :A−→R. A mapping f :A−→C is analytic on A if ∂f ∂z = 0 (Cauchy-Riemann equation) and is antianlytic on ... ...to be dianalytic if its restriction to every connected com- ponent of A is analytic or antianalytic. Now we can formally deﬁne a Klein surface. A Klei... ...phism onto an open subset A i of C or C + ={z∈C :Imz≥0} and the transition functions φ ij =φ i φ − j :φ j (U i U j )−→φ i (U i U j ). are dianalyt... ...in surface viewed as an orientable surface with empty boundary and to be analytic functions. Whence, we have the following relation: {Riemann Suface... ...e viewed as an orientable surface with empty boundary and to be analytic functions. Whence, we have the following relation: {Riemann Sufaces}⊂{Klein... ...{(U 1 = d,φ 1 = 1 D )} in C are two Klein surfaces with empty boundary and analytic structures. If k(S),g(S) and χ(S) are the number of connected comp...
 Book Id: WPLBN0003466796 Subjects: Non Fiction, Science, Chemistry ► Abstract Excerpt Details...d a prodigious force that guides us with their fantastic order, symmetry and cycles, to attain the truth. A truth that constitutes the structures and functions of our existence! Science has a built in wisdom and intuitiveness, which compels us to find the inherited order of our world, in terms of NATURAL LAWS and MATHEMATICAL FORMULATIONS with great strength, uniformity ... Table of Contents Details...ur solar system as a mechanical universe. RENE DESCARTES (1596-1650) French Philosopher and Mathematician 53 Created his Cartesian Coordinates and Analytic Geometry. ROBERT BOYLE (1627-1691) Irish Physicist and Chemist 53 Proposed his corpuscular theory, revived Democritus’ theory. Published The Sceptical Chemist and initiated modern chemistry.   WILLIAM GILBERT ...
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