MATH 4109 FINAL SECTION 1 EXAM LATEST
UPDATED
The Elements - ANSWER A book with a collection of 465 theorems. It was
organized so that if you needed one another proof in a theorem then it was
before that one in the book. 13 books: Triangles & Parallel Lines, proportions of
Circles, problems about Circles, proportion, Number Theory, Irrational
Numbers, solid geometry
Nine Chapters on the Mathematical Art - ANSWER -Handbook of 246
mathematical problems.
-methods used to solve problems of engineering, trade, taxation, and surveying
-played a fundamental role in the development of mathematics in China
-200 bc book; 263 ad commentary by Liu Hui
Book of Addition and Subtraction According to the Hindu Calculation -
ANSWER -used 9 characters for 1-9 and a circle for 0
-demonstrated how to write numerals in this system
-contained algorithms for =,-,x,÷, halving, doubling, finding square roots
-fractions
-introduced Hindu-Arabic Systems to Europe
The Condensed Book on the Calculation of al-Jabr and al-Muqabala -
ANSWER manual for solving linear and quadratic equations
*al-Jabr* - "restoring"
*al-Mugabala* - "comparing"
Liber Abaci - ANSWER -wrote by Fibonacci
-introduced Hindu-Arabic numeration system
-describes the algorithms for addition, subtraction, multiplication, and division
that we use today
-Fibonacci numbers
-1,1,2,3,5,8,13,21
Ars Magna - ANSWER -"The Great Art"
-wrote by Girolamo Cardano
-1st book written in Latin devoted entirely to algebra
, -contains solution methods for both cubic and quartic equations
-significant for its focus on theory of equations
-method used to solve cubic equations was to reduce the cubic equation to a
quadratic equation that could be solved
Dialogue Concerning the Two Chief World Systems - ANSWER -written by
Galileo
-written in Italian
-conversation between 3 people:
-Salviati
-Simplicio
-Sagredo
-best seller; not popular with church
-argument in favor or Copernican Theory
-presented the model for Copernican Universe
Discourses and Mathematical Demonstrations Concerning Two New Sciences -
ANSWER -wrote by Galileo
-published in Holland
-set out his scientific theory
-dealt with projectile motion & acceleration due to gravity
La Geometrie - ANSWER -wrote by Rene Decartes
-an apendix to Discours de la methode
-focused on mathematics
Carl Friedrich Gauss - ANSWER -one of the 3 greatest mathematicians of all
time
-The prince of Mathematics (Princeps Mathematicorum)
-Major Contributions to many fields
-number theory
-algebra
-stats
-anaylsis
-differential geometry
-geodesy
-geophysics
-electro statics
UPDATED
The Elements - ANSWER A book with a collection of 465 theorems. It was
organized so that if you needed one another proof in a theorem then it was
before that one in the book. 13 books: Triangles & Parallel Lines, proportions of
Circles, problems about Circles, proportion, Number Theory, Irrational
Numbers, solid geometry
Nine Chapters on the Mathematical Art - ANSWER -Handbook of 246
mathematical problems.
-methods used to solve problems of engineering, trade, taxation, and surveying
-played a fundamental role in the development of mathematics in China
-200 bc book; 263 ad commentary by Liu Hui
Book of Addition and Subtraction According to the Hindu Calculation -
ANSWER -used 9 characters for 1-9 and a circle for 0
-demonstrated how to write numerals in this system
-contained algorithms for =,-,x,÷, halving, doubling, finding square roots
-fractions
-introduced Hindu-Arabic Systems to Europe
The Condensed Book on the Calculation of al-Jabr and al-Muqabala -
ANSWER manual for solving linear and quadratic equations
*al-Jabr* - "restoring"
*al-Mugabala* - "comparing"
Liber Abaci - ANSWER -wrote by Fibonacci
-introduced Hindu-Arabic numeration system
-describes the algorithms for addition, subtraction, multiplication, and division
that we use today
-Fibonacci numbers
-1,1,2,3,5,8,13,21
Ars Magna - ANSWER -"The Great Art"
-wrote by Girolamo Cardano
-1st book written in Latin devoted entirely to algebra
, -contains solution methods for both cubic and quartic equations
-significant for its focus on theory of equations
-method used to solve cubic equations was to reduce the cubic equation to a
quadratic equation that could be solved
Dialogue Concerning the Two Chief World Systems - ANSWER -written by
Galileo
-written in Italian
-conversation between 3 people:
-Salviati
-Simplicio
-Sagredo
-best seller; not popular with church
-argument in favor or Copernican Theory
-presented the model for Copernican Universe
Discourses and Mathematical Demonstrations Concerning Two New Sciences -
ANSWER -wrote by Galileo
-published in Holland
-set out his scientific theory
-dealt with projectile motion & acceleration due to gravity
La Geometrie - ANSWER -wrote by Rene Decartes
-an apendix to Discours de la methode
-focused on mathematics
Carl Friedrich Gauss - ANSWER -one of the 3 greatest mathematicians of all
time
-The prince of Mathematics (Princeps Mathematicorum)
-Major Contributions to many fields
-number theory
-algebra
-stats
-anaylsis
-differential geometry
-geodesy
-geophysics
-electro statics
