- published: 01 Oct 2013
- views: 190302
Mathematics (from Greek μάθημα máthēma, “knowledge, study, learning”) is the study of topics such as quantity (numbers),structure,space, and change. There is a range of views among mathematicians and philosophers as to the exact scope and definition of mathematics.
Mathematicians seek out patterns and use them to formulate new conjectures. Mathematicians resolve the truth or falsity of conjectures by mathematical proof. When mathematical structures are good models of real phenomena, then mathematical reasoning can provide insight or predictions about nature. Through the use of abstraction and logic, mathematics developed from counting, calculation, measurement, and the systematic study of the shapes and motions of physical objects. Practical mathematics has been a human activity for as far back as written records exist. The research required to solve mathematical problems can take years or even centuries of sustained inquiry.
Rigorous arguments first appeared in Greek mathematics, most notably in Euclid's Elements. Since the pioneering work of Giuseppe Peano (1858–1932), David Hilbert (1862–1943), and others on axiomatic systems in the late 19th century, it has become customary to view mathematical research as establishing truth by rigorous deduction from appropriately chosen axioms and definitions. Mathematics developed at a relatively slow pace until the Renaissance, when mathematical innovations interacting with new scientific discoveries led to a rapid increase in the rate of mathematical discovery that has continued to the present day.
Robert May, Baron May of Oxford; Professor, Zoology, Oxford University and Imperial College October 2, 2012 2012 Stanislaw Ulam Memorial Lectures May explores the extent to which beauty has guided, and still guides, humanity's quest to understand how the world works, with a brief look at the interactions among beliefs, values, beauty, truth, and our expectations for tomorrow's world.
Multivariable Calculus Instructor: Edward Frenkel course website: http://math.berkeley.edu/~frenkel
The Geometrical View of y'=f(x,y): Direction Fields, Integral Curves. View the complete course: http://ocw.mit.edu/18-03S06 License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu
Aakash iTutor: Class 10th Mathematics Video Lectures (Quadratic Equations: Nature of roots) to study through online coaching tablet by Aakash Institute. Enquire for Full Video-Lectures @ (http://www.aakashitutor.com/edu-tab/) and prepare for NTSE and Board Exams. The full video covers topics related to Polynomials, quadratic polynomial, quadratic equations, standard form of a quadratic equation, factorisation, solution of a quadratic equation, zeroes, zeroes of a quadratic equation, factors, linear factors, completing the square method, nature of roots, discriminant, quadratic formula, distinct real roots, equal and real roots, no real roots, factorisation by splitting the middle term, roots of a quadratic equation, graph of a quadratic polynomial, maximum value of a quadratic polynomial...
Dr. James Curl of Modesto Junior College teaches beginning algebra. This first lesson reviews the course objectives and schedule, homework procedures, tests, grading, and similar protocols. The lecture covers numbers, why we use them, and some common formulas. Included are real numbers, integers, and the properties of real numbers (closure, commutative, associative, identity, inverse, distributive).
Lecture 1: The Geometry of Linear Equations. View the complete course at: http://ocw.mit.edu/18-06S05 License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu
For more information about Professor Shankar's book based on the lectures from this course, Fundamentals of Physics: Mechanics, Relativity, and Thermodynamics, visit http://bit.ly/1jFIqNu. Fundamentals of Physics (PHYS 200) The lecture covers a number of mathematical concepts. The Taylor series is introduced and its properties discussed, supplemented by various examples. Complex numbers are explained in some detail, especially in their polar form. The lecture ends with a discussion of simple harmonic motion. 00:00 - Chapter 1. Derive Taylor Series of a Function, f as [Σ (0, ∞)fnxn/n!] 14:21 - Chapter 2. Examples of Functions with Invalid Taylor Series 17:30 - Chapter 3. Taylor Series for Popular Functions(cos x, ex,etc) 23:31 - Chapter 4. Derive Trigonometric Functions from Exponential...
College Algebra with Professor Richard Delaware - UMKC VSI - Lecture 2 - Language of mathematics. This Lecture gives an overview of the Language of Mathematics.
Calculus 1 Lecture 1.1: An Introduction to Limits
Frenkel, one of the 21st century’s leading mathematicians, works on one of the biggest ideas to come out of mathematics in the last 50 years: the Langlands Program. In his lyrical autobiography, he reveals a side of math we’ve never seen, suffused with all the metaphysical beauty and elegance of a work of art. Known for his controversial erotic film about math, Frenkel believes a mathematical formula can carry a charge of love. Frenkel is joined by screenwriter and “The X-Files” creator Chris Carter to discuss how mathematics reaches to the heart of all matter, uniting us across culture, time, and space.
Carl Friedrich Gauss one of the greatest mathematicians, is said to have claimed: "Mathematics is the queen of the sciences and number theory is the queen of mathematics." The properties of primes play a crucial part in number theory. An intriguing question is how they are distributed among the other integers. The 19th century saw progress in answering this question with the proof of the Prime Number Theorem although it also saw Bernhard Riemann posing what many think to be the greatest unsolved problem in mathematics - the Rieman Hypothesis. This is a part of the lecture series, Shaping Modern Mathematics. The transcript and downloadable versions of the lecture are available from the Gresham College website: http://www.gresham.ac.uk/lectures-and-events/the-queen-of-mathematics Gresh...
Generous contributions by Daniel’s Bartlett's family and friends have made it possible to establish a scholarship and an annual lecture in his honor. The lectures feature mathematicians of world renown, speaking on topics of interest to wide audiences, and are open to the public. The purposes of both the scholarship and lecture are to memorialize Daniel Bartlett, a graduate student in mathematics at the time of his death in 2006, to foster awareness and appreciation of mathematics of the highest level in the Tucson community, and to support graduate education in Mathematics at The University of Arizona.
The Lord Is My Light: How the Christian Faith Makes Sense Of Things In his most recent book, The Passionate Intellect: Christian Faith and the Discipleship of the Mind, McGrath discusses theology as a discipline that not only informs and sustains the Christian vision of reality, but also serves a passion of the mind to understand God’s nature and ways. While proposing that vibrant theology can have a positive impact on Christian life, worship and faith, McGrath also explores other benefits of theology that include a deeper engagement with the culture and concerns of the modern world. Dr. Alister McGrath was born in Belfast, Northern Ireland in 1953. He attended Methodist College, Belfast, in 1966 studying pure and applied mathematics, physics and chemistry. McGrath continued his educat...
Recorded and edited live at the British Fashion Council 'Creative Pattern Cutting Seminar', at Somerset House in London UK, November 2014. Deconstructed by Julian Roberts & Joanna Sexton. THE DESIGN COMES LAST. "Today I'm going to be showing you some 'Master' and 'Novice' level Subtraction Cutting. I've cut 6 prototype toile dresses specifically for this seminar, and I am going to reverse-engineer (or dissect) them apart one-by-one, so that each of the 6 sessions today will be unique and different. I'll be taking the dresses back to their flat cloth form, to reveal and discover the 2D garment patterns for the very first time. I will be videoing the deconstruction process, and attempting to live edit them for you to watch at the end of this session. After today, I will post the 6 vide...
Lecture 1: FUNCTIONS Different kinds of numbers. What is a function? Sums and products of functions Composite functions (function of a function) Inverse function
PIMS Hot Topics Workshop on Computational Criminology September 19, 2012 Dr. Andrea L. Bertozzi, University of California Los Angeles Abstract: There is an extensive applied mathematics literature developed for problems in the biological and physical sciences. Our understanding of social science problems from a mathematical standpoint is less developed, but also presents some very interesting problems. This lecture uses crime as a case study for using applied mathematical techniques in a social science application and covers a variety of mathematical methods that are applicable to such problems. We will review recent work on agent based models, differential equations, variational methods for inverse problems and statistical point process models. From an application standpoint we will lo...
Modelling in natural sciences: continua vs discrete or the necessity of contingency A lecture taking place at The Bartlett School of Architecture's Royal Ear Hospital building on the 5 March 2013 as part of Alisa Andrasek's 'n_Salon' series.
The 71st annual Thomas Cawthron Memorial Lecture was presented by Professor Marcus du Sautoy, Simonyi Professor for the Public Understanding of Science, Professor of Mathematics at the University of Oxford and a Fellow of New College. The Thomas Cawthron Memorial Lecture is an annual community event presented by Cawthron Institute since 1917, to commemorate the memory and legacy of Thomas Cawthron. Many distinguished scientists and scholars have featured as lecturers, sharing their knowledge on a wide range of subjects. Past lecturers include Professor Thomas Easterfield, Sir Ernest Rutherford, Sir Edmund Hillary, Professor Robert Winston and the Rt Hon Helen Clark. This lecture was presented with thanks to Royal Society of New Zealand.
A lecture considering the links between money and maths within ancient civilisations, by Dr Luke Hodgkin of King's College London. All our lectures are available for free download from the Gresham College website, in video, audio or text formats: http://www.gresham.ac.uk Gresham College professors and guest speakers have been giving free public lectures in central London since 1597. This tradition continues today and you can attend any of our lectures, or watch or listen to them on our website. Website: http://www.gresham.ac.uk Twitter: http://twitter.com/GreshamCollege Facebook: http://www.facebook.com/pages/Gresham-College/14011689941
[sample]
"Who I sleep with is my own personal business"
"Nah, man, no, who you sleep with
The first face you see in the mornin
Is very, significant, man, that's where you get your energy from
It's your mirror, can you dig it?"
[Intro: Allah Real (Inspectah Deck)]
I'm thinking of the drop?
Peace beautiful how you doing?
You know I always see you, girl I wanna know
You know what I had in my mind for you
I just wanted to let you know that, damn girl
(To all the queens), just give me a chance
(To all the earths), I know you dig me, and I dig you (the goddesses)
And I don't see why we can't make this happen
(All the wisdoms) All you gotta do is have the will in yo mind
And the will in mine -- I already got the will in my mind
To say let's make it happen -- (all the syrens)
Let's just see it, man, let's just find out
Because I see the way you look at me, and I look at you
The thing's that on my mind are all the time
It's heaven, girl -- it's just heaven (yo, yo)
[Inspectah Deck]
Love or lust, voluptious strain struck my eye
Black butterly, said she'd never love another guy
I was a secret lover, now she says the'll be no other
Hard to keep each other, knowing one day will be discovered
See, I love ya, since my childhood, ma, look how you've grown
We used to zone off and making love through the phone
Now, stay with me, daisy lady drive me crazy
Crazy tried to kill my baby, steal my baby, baby
[Interlude: Allah Real]
Girl, I wanna know, you know what
Fact, listen girl (I wanna know)
Just like everybody wanna come at you
I'm comin' at you, but I'm the real man
That wanna let you know something
I wanna let you know, you got it, girl
You know what I mean? You got it, you got the flavor
Like raspberry to strawberries, girl
You the one I need
[RZA]
High priced ice on my neck, cause the windchill
She melt like a snowflake up against my car windshield
Eyes like a reindeer, lost, innocent Bambi
Toss the jammy from me, loved the life family
Long talks and pillow fights, walking at night
All she needed was a little light, shorty shining bright
E-mails flirtin' with you, Bobby bout to burst a missile
Wanted to hurt or tickle, girl, could you slurp it, would you?
[Interlude: Allah Real]
Can you hear me? Can you hear what I'm sayin' to you girl?
I'm trynna show you how much I feel, the way I feel for you
But here we go again, ma, one more time
All you gotta do is just take a listen
Just listen to me baby, ok? Just listen
Listen to my needs, listen to your needs
[Ghostface Killah]
Five and a half in Boys, ass is off the hook
High school pussy, heard you got the best noogie
Sugar walls, watch your love, slide right on my dick
I'm palmin' ya ass like this while you ridin' it
I'm about to cum boo-boo, chill for a sec
I feel it at the tip, ma', your pussy too wet
One false move and I will blast like the very first time
Burnt you with candle wax/wax, while you was slobbin' mine
Dick is sensitive, you move, baby here it is
Oh Lord, I told you not to move, you dumb broad
Cummin' for days, wettin' ya caves
My dick is like the sprinklers and maybe ya dush, I'm here to save the day
Solomon was wise and I got fifty other bitches
Some eat bitches, some bitches fuck my niggaz
Solomon was wise and I got fifty other bitches
Some eat bitches, some bitches fuck my niggaz
[Allah Real]
Girl I wanna know..
You know you always stayin' on my mind
Listen to our niggaz, ok girl
Girl I wanna know..
Because together we can make a change
That'll be like, ahhh
You feel me girl, do you feel me?
Girl I wanna know..
You always on my mind, girl, always
I wanna know, you know you always stayin' on mind