Numerical Linear Algebra

Slides:



Advertisements
Similar presentations
The Unknot, the Trefoil Knot, and the Figure-Eight Knot are Mutually Nonequivalent An Elementary Proof Jimmy Gillan Thursday, April 10, 2008.
Advertisements

The Fundamental Theorem of Arithmetic By Jess Barak, Lindsay Mullen, Ashley Reynolds, and Abby Yinger.
Chapter 18: Electric Forces and Fields
Which came first: Vector Product or Torque? by Antonia Katsinos.
“The blind man who could see.” When did Euler live? Euler lived in the eighteenth century. Euler was born in 1707 and died in Euler lived in Switzerland.
Gauge Invariance and Conserved Quantities
Chapter 24 Gauss’s Law.
Chapter 11 Polynomial Functions
ENGG2013 Unit 8 2x2 Determinant Jan, Last time Invertible matrix (a.k.a. non-singular matrix) – Represents reversible linear transformation Gauss-Jordan.
Hilbert’s Problems By Sharjeel Khan.
Carl thought his teacher a lesson!
Integration Techniques Group Members Sam Taylor Patience Canty Austin Hood.
1 Gauss and the Method of Least Squares Teddy Petrou Hongxiao Zhu.
3-4 Algebra Properties Used in Geometry The properties of operations of real numbers that you used in arithmetic and algebra can be applied in geometry.
History of Mathematics
Famous Mathematicians
Pythagorean Theorem. Pythagoras Born on the Greek Isle of Samos in the 6 th Century Lived from BC He studied and made contributions in the fields.
Carl Friedrich Gauss (30 April 1777 – 23 February 1855.
10 Lecture in calculus Projects Surfaces Flux Substitution Perpendicularity.
Greatest Mathematicians Colton Ratliff. Sir Isaac Newton Sir Isaac Newton was Born on January 4, 1643, in Woolsthorpe, England Isaac Newton was established.
MA2213 Lecture 5 Linear Equations (Direct Solvers)
G AUSSIAN E LIMINATION Presented by: Max Le Max Le Justin Lavorgna Data Structures II: Algorithm Design & Analysis Algorithm Design & Analysis.
Pythagoras was a Greek philosopher who made important developments in mathematics, astronomy, and the theory of music. The theorem now known as Pythagoras's.
Gauss’s Law The electric flux through a closed surface is proportional to the charge enclosed The electric flux through a closed surface is proportional.
The Gaussian (Normal) Distribution: More Details & Some Applications.
By: Trever Hale 3 FAMOUS MATHEMATICIANS. LEONARDO `BIGOLLO' PISANO (FIBONACCI) Leonardo `Bigollo' Pisano (Fibonacci)- this guy was first person to introduce.
Ch. 22 in the book by Giancoli
Archimedes Isaac Newton English scientist, was born on January 4, 1643 In Ulstorp in Colsterworth, Great Britain. Lived in England Profession.
Mathematics in the 19 th Century D. Manoj Reddy 29 March 2010.
Advanced Higher Mathematics Methods in Algebra and Calculus Geometry, Proof and Systems of Equations Applications of Algebra and Calculus AH.
Thales and the Atomic Theory
The Islamic University of Gaza Faculty of Engineering Civil Engineering Department Numerical Analysis ECIV 3306 Introduction Course Outline.
COMPLEX ZEROS: FUNDAMENTAL THEOREM OF ALGEBRA Why do we have to know imaginary numbers?
MA Day 53 – April 2, 2013 Section 13.2: Finish Line Integrals Begin 13.3: The fundamental theorem for line integrals.
The Normal Distribution (Gaussian Distribution)
María José Jaimes Rodríguez Johann Carl Friedrich Gauss Full name On April 30, 1777 In Braunschweig, Germany Born On February 23, 1855 In Göttigen,
Johann Carl Friedrich Gauss 1777 – 1855 Johann Carl Friedrich Gauss 1777 – 1855 Gauss worked in a wide variety of fields in both mathematics and physics.
 Sophie Germain  Mathematician, physicist, and philosopher.  Born April 1, 1776, in Rue Saint-Denis, Paris, France  Died: June 27, 1831  Got educated.
David Hilbert Juan Ramirez. Fact 1 David Hilbert was born on January 23, 1862 in Konigsberg, Prussia, now Kaliningrad, Russia. His father, Otto Hilbert,
He attended the University of Zurich where he studied under Raabe.
Kepler ( )  Kepler was from Germany.  Kepler was interested in astronomy from an early age.  He studied to become a Lutheran minister.  He.
KARLA OCANAS Johann Carl Friedrich Gauss. Johann Carl Friedrich Gauss early years He was born on April 30 th 1777, in Brunswick Germany. At the age of.
Material Taken From: Mathematics for the international student Mathematical Studies SL Mal Coad, Glen Whiffen, John Owen, Robert Haese, Sandra Haese and.
The Normal Distribution (Gaussian Distribution) Honors Analysis Learning Target: I can analyze data using the normal distribution.
AUGUSTIN LOUIS CAUCHY. Augustin Louis Cauchy was born in 21 Agust 1789 in Paris.He developed the theory of complex functions in Today, it is known.
◙ The Ishango Bone (dated – BC)
Copyright © 2009 Pearson Education, Inc. Chapter 24: Gauss’s Law.
MA237: Linear Algebra I Chapters 1 and 2: What have we learned?
PRE-AP PRE-CALCULUS CHAPTER 7, SECTION 3 Multivariate Linear Systems and Row Operations
Background for Machine Learning (I) Usman Roshan.
ECE 6382 Integration in the Complex Plane David R. Jackson Notes are from D. R. Wilton, Dept. of ECE 1.
CARL FRIEDRICH GAUSS By Marina García Lorenzo. Biography He was born 30 April 1777 in Brunswick, and died 23 February 1855 at age of 77 in Göttingen,
· · ·,,,,,,
Welcome to Precalculus!
Johann Carl Friedrich Gauss
Elementary Linear Algebra
Advanced Higher Mathematics
Augustin-Louis Cauchy
Complex numbers and function
Josiah Willard Gibbs, Jr. ( )
Pierre de Fermat Carolyn Wu Shinya Sun David Luo.
The Time of Lagrange, Fourier, and Cauchy
Gaussian (Normal) Distribution
By Megan MacGregor Math 10 H
Gaussian (Normal) Distribution
Classical Continuous Probability Distributions
David Hilbert By: Camryn Messmore.
Matrix Solutions to Linear Systems
Sophie Germain Algebra - this is written geometry,
Abstract Algebra.
Presentation transcript:

Numerical Linear Algebra By: Tiffany McKnight Robert Chirwa Alice Lin

History of Linear Algebra Babylon ~1900 BC Had an advanced mathematical system Base 60 Developed tables to calculate formulas Simple Linear equations a x = b

History continued Father of Linear algebra Hermann Grassmann Showed how to apply vectors to important applications Vector spaces Forces (Physics)

Hermann Grassman

Grassmann’s Life Born in 1809 Died in 1877 Studied 3 yrs in berlin Never formally studied Mathematics School teacher

Grassmann’s Life Wrote Ausdehnunglsehre = Theory of Extension Drew the attention of Mathematicians from around the world 1842, 1860 Theory of Tides Textbooks Translations for Encyclopedia Brittanica

Hermann Grassmann Proved integer’s properties Proved Primary Decomposition Theorem Took a century to for his works to be recognized Had work stolen by Cauchy

Johann Carl Friedrich Gauss

Johann Gauss’s Life Born 1777 Died 1855 Extremely good at Mathematics since an early age Extensive Schooling Many discoveries by the age of 19

Johann Gauss’s Life Became interested in Astronomy Wanted to work on projects that were beneficial Created Gaussian Elimination around 1800 Created Gaussian Distribution Curve

Arthur Cayley

Arthur Cayley’s Life Born 1821 Died 1895 Gifted at Mathematics at an early age Became a Lawyer Finally got an University post

Arthur Cayley’s Life Developed Theory of Algebraic Invariance Applied to the study of Space-Time Continuem Worked on Matrices foundation for quantum mechanics Suggested Special Types of Geometry

Other Algorithms Cholesky Factorization/Decomposition

Feedback: Privacy Policy Feedback
Do Not Sell My Personal Information
About project: SlidePlayer Terms of Service

© 2025 SlidePlayer.com. Inc. All rights reserved.