* Affiliatelinks/Werbelinks
Links auf reinlesen.de sind sogenannte Affiliate-Links. Wenn du auf so einen Affiliate-Link klickst und über diesen Link einkaufst, bekommt reinlesen.de von dem betreffenden Online-Shop oder Anbieter eine Provision. Für dich verändert sich der Preis nicht.
Taming the Unknown
Karen Hunger Parshall, Victor J. Katz
* Affiliatelinks/Werbelinks
Links auf reinlesen.de sind sogenannte Affiliate-Links. Wenn du auf so einen Affiliate-Link klickst und über diesen Link einkaufst, bekommt reinlesen.de von dem betreffenden Online-Shop oder Anbieter eine Provision. Für dich verändert sich der Preis nicht.
Naturwissenschaften, Medizin, Informatik, Technik / Geometrie
Beschreibung
What is algebra? For some, it is an abstract language of x's and y’s. For mathematics majors and professional mathematicians, it is a world of axiomatically defined constructs like groups, rings, and fields. Taming the Unknown considers how these two seemingly different types of algebra evolved and how they relate. Victor Katz and Karen Parshall explore the history of algebra, from its roots in the ancient civilizations of Egypt, Mesopotamia, Greece, China, and India, through its development in the medieval Islamic world and medieval and early modern Europe, to its modern form in the early twentieth century.
Defining algebra originally as a collection of techniques for determining unknowns, the authors trace the development of these techniques from geometric beginnings in ancient Egypt and Mesopotamia and classical Greece. They show how similar problems were tackled in Alexandrian Greece, in China, and in India, then look at how medieval Islamic scholars shifted to an algorithmic stage, which was further developed by medieval and early modern European mathematicians. With the introduction of a flexible and operative symbolism in the sixteenth and seventeenth centuries, algebra entered into a dynamic period characterized by the analytic geometry that could evaluate curves represented by equations in two variables, thereby solving problems in the physics of motion. This new symbolism freed mathematicians to study equations of degrees higher than two and three, ultimately leading to the present abstract era.
Taming the Unknown follows algebra’s remarkable growth through different epochs around the globe.
Kundenbewertungen
Axiom, Quantity, Summation, Abstract algebra, Three-dimensional space (mathematics), Fundamental theorem, Arithmetic, Mathematics, Diophantus, Linear differential equation, Textbook, Algebra, Prime number, Permutation, Number theory, Cubic function, Theory, Coefficient, Theorem, Polynomial, Proportionality (mathematics), Linear equation, Scientific notation, Fundamental theorem of algebra, Algebraic number field, Algorithm, Fibonacci, Special case, Algebraic operation, Arithmetica, Divisor, Rectangle, Square root, Equation, Algebraic equation, Quadratic form, Determinant, Addition, Calculation, Coprime integers, Combination, Natural number, System of linear equations, Complex number, Linear map, Notation, Quartic function, Quadratic formula, Simultaneous equations, Quadratic equation, Variable (mathematics), Analytic geometry, Algebraic integer, Mathematics in medieval Islam, Princeton University Press, Result, Geometry, Mathematician, Euclid's Elements, Modular arithmetic, Cube root, Emmy Noether, David Hilbert, Quaternion, Theory of equations, Quadratic, Lecture, Integer, Square number, Subtraction