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What did Karen smith the mathematician do for math?
Karen Smith works in algebra and algebraic geometry. Some of her main contributions involve finding purely algebraic ways to understand geometric objects, such as singularities in algebraic geometry. This is significant because, for example, even a computer can manipulate algebraic equations but it can not understand a drawing as well. I can answer more if you describe how much mathematics you have taken.
Boole's contributions to mathematics?
George Boole suggested the similarity between logic and algebraic symbols. By tying logic to algebra, Boole allowed algebra to be viewed as purely abstract. The modern applications of Booleâ??s contributions to mathematics are: computer programming, electrical engineering, satellite pictures, telephone circuits and even Einstein's theory of relativity.
Do algebraic expressions have to have a variable?
Yes. That is the definition of an algebraic expression.
What are Algebraic Expresstion?
Algebraic expressions are terms that do not include an equality sign
Which phrase describes the algebraic expression x-21.5?
They are two terms of an algebraic expression.
What has the author Daniel Huybrechts written?
Daniel Huybrechts has written: 'Fourier-Mukai Transforms in Algebraic Geometry (Oxford Mathematical Monographs)' 'The geometry of moduli spaces of sheaves' -- subject(s): Sheaf theory, Moduli theory, Algebraic Surfaces 'The geometry of moduli spaces of sheaves' -- subject(s): Algebraic Surfaces, Moduli theory, Sheaf theory, Surfaces, Algebraic 'Fourier-Mukai transforms in algebraic geometry' -- subject(s): Algebraic Geometry, Fourier transformations, Geometry, Algebraic
What has the author Phillip Griffiths written?
Phillip Griffiths has written: 'Exterior differential systems and the calculus of variations' -- subject(s): Calculus of variations, Exterior differential systems 'Rational homotopy theory and differential forms' -- subject(s): Differential forms, Homotopy theory 'Principles of algebraic geometry' -- subject(s): Algebraic Geometry 'An introduction to the theory of special divisors on algebraic curves' -- subject(s): Algebraic Curves, Divisor theory
What has the author Teruhisa Matsusaka written?
Teruhisa Matsusaka has written: 'Theory of Q-varieties' -- subject(s): Algebraic Geometry, Algebraic varieties, Geometry, Algebraic, Surfaces
What are three facts about Alexander Grothendieck?
He has a theory on algebraic geometry. He introduced his theory to the International Congress of Mathmaticians.
What has the author Michael Artin written?
Michael Artin has written: 'Etale homotopy' -- subject(s): Homotopy theory 'Algebraic spaces' -- subject(s): Algebraic functions, Algebraic spaces
What has the author Valery Alexeev written?
Valery Alexeev has written: 'Compact moduli spaces and vector bundles' -- subject(s): Vector bundles, Moduli theory, Algebraic geometry -- Curves -- Vector bundles on curves and their moduli, Congresses, Algebraic geometry -- Curves -- Families, moduli (algebraic), Algebraic geometry -- Families, fibrations -- Fine and coarse moduli spaces, Algebraic geometry -- Surfaces and higher-dimensional varieties -- Families, moduli, classification: algebraic theory, Algebraic geometry -- Families, fibrations -- Algebraic moduli problems, moduli of vector bundles
What has the author A O Gel'fond written?
A. O. Gel'fond has written: 'Elementary methods in the analytic theory of numbers' 'Transcendental and algebraic numbers' -- subject(s): Algebraic number theory, Numbers, Transcendental, Transcendental numbers
What has the author David Mumford written?
David Mumford has written: 'Geometric invariant theory' -- subject(s): Algebraic Geometry, Geometry, Algebraic, Invariants
What has the author C Faber written?
C. Faber has written: 'Classification of algebraic varieties' -- subject(s): Congresses, Classification theory, Algebraic varieties
The meaning of the group function theory?
In abstract algebra, group theory studies structures known as groups. Group theory has three historical sources number theory, the theory of algebraic equations, and geometry.
What is the use of algebraic topology?
Algebraic topology uses algebraic structures (like groups) to characterize and distinguish topological manifolds. So it is useful in any case where manifolds may look very different but in fact be identical. This is often other areas of mathematics or in theoretical physics. A subbranch of algebraic topology which is quite intuitive and which has many clear applications is knot theory. Knot theory is applicable in fields as diverse as string theory (physics) or protein synthesis (biology).
What has the author Graham Everest written?
Graham Everest has written: 'Heights of polynomials and entropy in algebraic dynamics' -- subject(s): Arithmetical algebraic geometry, Curves, Elliptic, Differentiable dynamical systems, Elliptic Curves, Measure theory 'An introduction to number theory' -- subject(s): Number theory
