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The KiPAS Arithmetic Geometry and Number Theory Group is researching various conjectues concerning special values of L-functions, especially by using a geometric object called the polylog. “Algebraic varieties are geometric objects given as the zeros of polynomials. Various conjectures exist regarding special values of L-functions for such algebraic varieties. Our primary objective is to explore such conjectures.” All positive integers can be uniquely expressed as a product of prime numbers. Prime numbers are like the “atoms” constituting an integer with respect to the product, and the properties of prime numbers are captured by L-functions. The simplest example of an L-function is a function called the Riemann zeta function, which is expressed by this type of infinite sum with respect to a real numbers that are greater than 1. This infinite sum can be re-expressed as an infinite product parameterized by prime numbers. “Since the time of Euclid, it has been known that there are an infinite number of prime. It was discovered by Euler that this fact corresponds to the analytic fact that the Riemann zeta function diverges when the variable s approaches 1. This type of phenomenon is now being researched in even greater depth.” Important invariants in number theory and special values of L-function are of totally different worlds, so that it is surprising to expect a connection. The idea behind arithmetic geometry is to introduce geometric objects in order to make a connection between the two. The KiPAS Arithmetic Geometry and Number Theory Group is focused on a geometric object called the “polylog”. “Arithmetic conjectures of L-functions try to connect two entirely different quantities of algebraic varieties, namely special values of L-functions which are analytic, and arithmetic information of the algebraic variety. One method to achieve this goal is to introduce a certain geometric object that intrinsically contains both quantities. One simple example of a geometric is a polygon, which intrinsically contains quantities such as the number of vertices and the number of sides. For our conjecture, the polylog is an extremely promising but complicated geometric object. Grothendieck refers to this type of geometrical object as a “motif”. Motif is a word that originates in the description of the work of Cézanne, and it has the same type of connotation as a motif of an artwork. If important but seemingly very different invariants can be interpreted as intrinsic features of a common motif, then one may be able to deduce relation between the different invariants.” The members of the KiPAS Arithmetic Geometry and Number Theory Group are conducting research as a team, and by studying the polylog, the team is endeavoring to solve important conjectures in arithmetic geometry.

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In many ways, the modern revival of algebraic geometry resulted from investigations in complex function theory. In this video, we show how Weierstrass's p-function can be used to relate cubic curves and 2-tori. We see in particular that cubic curves have an abelian group structure. The material in this video and the other in the playlist can be found in Kirwan's "Complex algebraic curves".
Views: 1823 DanielChanMaths

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2016 Breakthrough Prize Symposium in Mathematics Session: Mathematical Horizons Chair: David Eisenbud (UC Berkeley) Featuring talks by: 1. Sourav Chatterjee (Stanford). Nonlinear Large Deviations. 2. Lauren Williams (UC Berkeley). Combinatorics of Hopping Particles and Orthogonal Polynomials. 3. Ian Agol (UC Berkeley). Thurston's Vision Fulfilled? 4. David Nadler (UC Berkeley). Back in Black: Geometry's Payment Plan to Number Theory. 5. George Lakoff (UC Berkeley). The Brain's Mathematics: The Cognitive and Neural Foundations of Mathematics. The 2016 Breakthrough Prize Symposium is co-hosted by UC Berkeley, UC San Francisco, Stanford, and the Breakthrough Prize Foundation. This daylong event includes talks and panels featuring Breakthrough Prize laureates in Fundamental Physics, Life Sciences and Mathematics, as well as other distinguished guests. For more details on the day's activities please visit: http://breakthroughprize.berkeley.edu/symposium
Views: 300 UC Berkeley Events

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Views: 909839 Numberphile

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Views: 32552 MajorPrep

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Thanks to all of you who support me on Patreon. You da real mvps! \$1 per month helps!! :) https://www.patreon.com/patrickjmt !! Thanks to all of you who support me on Patreon. You da real mvps! \$1 per month helps!! :) https://www.patreon.com/patrickjmt !! A big THANKS to all of those who support me on Patreon! https://www.patreon.com/patrickjmt Part 1: https://youtu.be/KRLBya7x5ZQ Extra Proof by Contradiction with some death intrigue (huh?!) https://www.youtube.com/watch?v=rOGqq1O1rzI&feature=youtu.be New to proving mathematical statements and theorem? I this video I prove the statement 'the sum of two consecutive numbers is odd' using direct proof, proof by contradiction, proof by induction and proof by contrapositive.
Views: 80769 patrickJMT

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lecture notes: https://drive.google.com/file/d/1VLucSK53-iLrVUbPAanNZ6Lb7nAAgaQ1/view?usp=sharing Clay Mathematics Institute Summer School 2006 on "Arithmetic geometry" survey lectures given at the 2006 Clay Summer School on Arithmetic Geometry at the Mathematics Institute of the University of Göttingen. Intended for graduate students and recent Ph.D.'s, this volume will introduce readers to modern techniques and outstanding conjectures at the interface of number theory and algebraic geometry. The main focus is rational points on algebraic varieties over non-algebraically closed fields. Do they exist? If not, can this be proven efficiently and algorithmically? When rational points do exist, are they finite in number and can they be found effectively? When there are infinitely many rational points, how are they distributed? For curves, a cohesive theory addressing these questions has emerged in the last few decades. Highlights include Faltings' finiteness theorem and Wiles's proof of Fermat's Last Theorem. Key techniques are drawn from the theory of elliptic curves, including modular curves and parametrizations, Heegner points, and heights. The arithmetic of higher-dimensional varieties is equally rich, offering a complex interplay of techniques including Shimura varieties, the minimal model program, moduli spaces of curves and maps, deformation theory, Galois cohomology, harmonic analysis, and automorphic functions. However, many foundational questions about the structure of rational points remain open, and research tends to focus on properties of specific classes of varieties. Contents About the cover: Rational points on a K3 surface Noam Elkies Curves Rational points on curves Henri Darmon Non-abelian descent and the generalized Fermat equation Hugo Chapdelaine Merel's theorem on the boundedness of the torsion of elliptic curves Marusia Rebolledo Generalized Fermat equations Pierre Charollois Heegner points and Sylvester's conjecture Samit Dasgupta and John Voight Shimura curve computations John Voight Computing Heegner points arising from Shimura curve parametrizations Matthew Greenberg The arithmetic of elliptic curves over imaginary quadratic fields and Stark-Heegner points Matthew Greenberg Lectures on modular symbolsLectures on modular symbols Yuri I. Manin Surfaces Rational surfaces over nonclosed fields Brendan Hassett Non-abelian descent David Harari Mordell-Weil Problem for Cubic Surfaces, Numerical Evidence Bogdan Vioreanu Higher-dimensional varieties Algebraic varieties with many rational points Yuri Tschinkel Birational geometry for number theorists Dan Abramovich Arithmetic over function fields Jason Starr Galois + Equidistribution=Manin-Mumford Nicolas Ratazzi and Emmanuel Ullmo The Andre-Oort conjecture for products of modular curves Emmanuel Ullmo and Andrei Yafaev Moduli of abelian varieties and p-divisible groups Ching-Li Chai and Frans Oort Cartier isomorphism and Hodge Theory in the non-commutative case Dmitry Kaledin http://www.uni-math.gwdg.de/aufzeichnungen/SummerSchool/

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Views: 776891 3Blue1Brown

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Professor Michael Atiyah of the University of Edinburgh, winner of the Fields Medal in 1966 and the Abel Prize in 2004 , on a visit to IMPA gave a lecture titled "From Quantum Physics to Number Theory." Date: December 1, 2010 Video taken from: http://video.impa.br/index.php?page=solenidades-e-palestras-especiais

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Now we leave the world of real analysis and explore abstract algebra, beginning with some beautiful structures called groups that will serve to unify mathematics as a whole.
Views: 204826 Bill Shillito

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MIT 15.S50 Poker Theory and Analysis, IAP 2015 View the complete course: http://ocw.mit.edu/15-S50IAP15 Instructor: Kevin Desmond An overview of the course requirements, expectations, software used for tournaments, advanced techniques, and some basics tools and concepts for the class are discussed in this lecture. License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu
Views: 423352 MIT OpenCourseWare

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The Practice of Mathematics Robert P. Langlands Institute for Advanced Study November 16, 1999 Robert P. Langlands, Professor Emeritus, School of Mathematics. There are several central mathematical problems, or complexes of problems, that every mathematician who is eager to acquire some broad competence in the subject would like to understand, even if he has no ambition to attack them all. That would be out of the question! Those with the most intellectual and aesthetic appeal to me are in number theory, classical applied mathematics and mathematical physics. In spite of forty years as a mathematician, I have difficulty describing these problems, even to myself, in a simple, cogent and concise manner that makes it clear what is wanted and why. As a possible, but only partial, remedy I thought I might undertake to explain them to a lay audience. I shall try for a light touch including, in particular, some historical background. Nevertheless the lectures are to be about mathematics. In the first set, there will be geometrical constructions, simple algebraic equations, prime numbers, and perhaps an occasional integral. Every attempt will be made to explain the necessary notions clearly and simply, taking very little for granted except the good will of the audience. Starting in the easiest place for me, I shall give, during the academic year 1999/2000 about eight lectures on pure mathematics and number theory with the motto beautiful lofty things . Beginning with the Pythagorean theorem and the geometric construction of the Pythagorean pentagram, I shall discuss the algebraic analysis of geometric constructions and especially the proof by Gauss in 1796 of the possibility of constructing with ruler and compass the regular heptadecagon. This was a very great intellectual achievement of modern mathematics that can, I believe, be understood by anyone without a great aversion to high-school algebra. Then I will pass on to Galois's notions of mathematical structure, Kummer's ideal numbers, and perhaps even the relations between ideal numbers and the zeta-function of Riemann. This material will be a little more difficult, but I see no reason that it cannot be communicated. It brings us to the very threshold of current research. Since this attempt is an experiment, the structure and nature of the lectures will depend on the response of the audience and on my success in revealing the fabric of mathematics. If it works out, I would like to continue in following years on classical fluid mechanics and turbulence, with motto l'eau mêlée à la lumière , and then, with the somewhat trite motto с того берега, on the analytical problems suggested by renormalization in statistical mechanics and quantum field theory. More videos on http://video.ias.edu

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Prof. Walter B. Rudin presents the lecture, "Set Theory: An Offspring of Analysis." Prof. Jay Beder introduces Prof. Dattatraya J. Patil who introduces Prof. Walter B. Rudin in the second Marden Lecture at UWM.

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Views: 2541659 Numberphile

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Pre Regional Mathematical Olympiad 2017 Q 21 to Q 30 by Maths HOD AGL Sir
Views: 25951 Resonance Eduventures

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Views: 2358 Kris Lennox

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December 15, 2014 - Analysis, Spectra, and Number theory: A conference in honor of Peter Sarnak on his 61st birthday. This discussion session opens the conversation up to the audience to discuss current problems in number theory.
Views: 1241 princetonmathematics

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Some Basic Fundamentals before starting complex analysis, Unit- I of Engineering Mathematics-III

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What is ALGEBRAIC GEOMETRY? What does ALGEBRAIC GEOMETRY mean? ALGEBRAIC GEOMETRY meaning - ALGEBRAIC GEOMETRY definition -ALGEBRAIC GEOMETRY explanation. Source: Wikipedia.org article, adapted under https://creativecommons.org/licenses/by-sa/3.0/ license. Algebraic geometry is a branch of mathematics, classically studying zeros of multivariate polynomials. Modern algebraic geometry is based on the use of abstract algebraic techniques, mainly from commutative algebra, for solving geometrical problems about these sets of zeros. The fundamental objects of study in algebraic geometry are algebraic varieties, which are geometric manifestations of solutions of systems of polynomial equations. Examples of the most studied classes of algebraic varieties are: plane algebraic curves, which include lines, circles, parabolas, ellipses, hyperbolas, cubic curves like elliptic curves and quartic curves like lemniscates, and Cassini ovals. A point of the plane belongs to an algebraic curve if its coordinates satisfy a given polynomial equation. Basic questions involve the study of the points of special interest like the singular points, the inflection points and the points at infinity. More advanced questions involve the topology of the curve and relations between the curves given by different equations. Algebraic geometry occupies a central place in modern mathematics and has multiple conceptual connections with such diverse fields as complex analysis, topology and number theory. Initially a study of systems of polynomial equations in several variables, the subject of algebraic geometry starts where equation solving leaves off, and it becomes even more important to understand the intrinsic properties of the totality of solutions of a system of equations, than to find a specific solution; this leads into some of the deepest areas in all of mathematics, both conceptually and in terms of technique. In the 20th century, algebraic geometry split into several subareas. The mainstream of algebraic geometry is devoted to the study of the complex points of the algebraic varieties and more generally to the points with coordinates in an algebraically closed field. The study of the points of an algebraic variety with coordinates in the field of the rational numbers or in a number field became arithmetic geometry (or more classically Diophantine geometry), a subfield of algebraic number theory. The study of the real points of an algebraic variety is the subject of real algebraic geometry. A large part of singularity theory is devoted to the singularities of algebraic varieties. With the rise of the computers, a computational algebraic geometry area has emerged, which lies at the intersection of algebraic geometry and computer algebra. It consists essentially in developing algorithms and software for studying and finding the properties of explicitly given algebraic varieties. Much of the development of the mainstream of algebraic geometry in the 20th century occurred within an abstract algebraic framework, with increasing emphasis being placed on "intrinsic" properties of algebraic varieties not dependent on any particular way of embedding the variety in an ambient coordinate space; this parallels developments in topology, differential and complex geometry. One key achievement of this abstract algebraic geometry is Grothendieck's scheme theory which allows one to use sheaf theory to study algebraic varieties in a way which is very similar to its use in the study of differential and analytic manifolds. This is obtained by extending the notion of point: In classical algebraic geometry, a point of an affine variety may be identified, through Hilbert's Nullstellensatz, with a maximal ideal of the coordinate ring, while the points of the corresponding affine scheme are all prime ideals of this ring. This means that a point of such a scheme may be either a usual point or a subvariety. This approach also enables a unification of the language and the tools of classical algebraic geometry, mainly concerned with complex points, and of algebraic number theory. Wiles's proof of the longstanding conjecture called Fermat's last theorem is an example of the power of this approach.
Views: 1262 The Audiopedia

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More information and resources: http://www.welchlabs.com Imaginary numbers are not some wild invention, they are the deep and natural result of extending our number system. Imaginary numbers are all about the discovery of numbers existing not in one dimension along the number line, but in full two dimensional space. Accepting this not only gives us more rich and complete mathematics, but also unlocks a ridiculous amount of very real, very tangible problems in science and engineering. Part 1: Introduction Part 2: A Little History Part 3: Cardan's Problem Part 4: Bombelli's Solution Part 5: Numbers are Two Dimensional Part 6: The Complex Plane Part 7: Complex Multiplication Part 8: Math Wizardry Part 9: Closure Part 10: Complex Functions Part 11: Wandering in Four Dimensions Part 12: Riemann's Solution Part 13: Riemann Surfaces Want to learn more or teach this series? Check out the Imaginary Numbers are Real Workbook: http://www.welchlabs.com/resources.
Views: 2351196 Welch Labs

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Views: 137413 MajorPrep

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A connection between a classical puzzle about rational numbers and what makes music harmonious.
Views: 467593 3Blue1Brown

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I hope you found this video useful, please subscribe for daily videos! WBM Foundations: Mathematical logic Set theory Algebra: Number theory Group theory Lie groups Commutative rings Associative ring theory Nonassociative ring theory Field theory General algebraic systems Algebraic geometry Linear algebra Category theory K-theory Combinatorics and Discrete Mathematics Ordered sets Geometry Geometry Convex and discrete geometry Differential geometry General topology Algebraic topology Manifolds Analysis Calculus and Real Analysis: Real functions Measure theory and integration Special functions Finite differences and functional equations Sequences and series Complex analysis Complex variables Potential theory Multiple complex variables Differential and integral equations Ordinary differential equations Partial differential equations Dynamical systems Integral equations Calculus of variations and optimization Global analysis, analysis on manifolds Functional analysis Functional analysis Fourier analysis Abstract harmonic analysis Integral transforms Operator theory Numerical analysis and optimization Numerical analysis Approximations and expansions Operations research Probability and statistics Probability theory Statistics Computer Science Computer science Information and communication Applied mathematics Mechanics of particles and systems Mechanics of solids Fluid mechanics Optics, electromagnetic theory Classical thermodynamics, heat transfer Quantum Theory Statistical mechanics, structure of matter Relativity and gravitational theory Astronomy and astrophysics Geophysics applications Systems theory Other sciences Category
Views: 897 WelshBeastMaths

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Views: 40969 Techfest IIT Bombay

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Princeton University - January 26, 2016 This talk was part of "Analysis, PDE's, and Geometry: A conference in honor of Sergiu Klainerman."
Views: 1021 princetonmathematics

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Jean Bourgain IBM von Neumann Professor, School of Mathematics March 23, 2015 Decoupling inequalities in harmonic analysis permit to bound the Fourier transform of measures carried by hyper surfaces by certain square functions defined using the geometry of the hyper surface. The original motivation has to do with issues in PDE, such as smoothing for the wave equation and Strichartz inequalities for the Schrodinger equation on tori. It turns out however that these decoupling inequalities have surprizing number theoretical consequences,on which we will mainly focus. They include new bounds for the number of integral solutions to certain diagonal systems of polynomial equations and mean value theorems relevant to bounding exponential sums and the zeta function! In particular we make some further progress towards the Lindelof hypothesis using the Bombieri-Iwaniec method. More videos on http://video.ias.edu

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lll➤ Gratis Crypto-Coins: https://crypto-airdrops.de ) More about Abelian varieties in thi algebraic theory video lecture. This is what you will learn in this lesson. Also have a look at the other parts of the course, and thanks for watching. In mathematics, particularly in algebraic geometry, complex analysis and number theory, an abelian variety is a projective algebraic variety that is also an algebraic group, i.e., has a group law that can be defined by regular functions. Abelian varieties are at the same time among the most studied objects in algebraic geometry and indispensable tools for much research on other topics in algebraic geometry and number theory. http://en.wikipedia.org/wiki/Abelian_variety This video was made ​​by another YouTube user and made available for the use under the Creative Commons licence "CC-BY". His channel can be found here: https://www.youtube.com/channel/UC5f0ii9uewnsgu0WuyNkfLQ

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Johann Carl Friedrich Gauss (30 April 1777 – 23 February 1855) was a German mathematician who contributed significantly to many fields, including number theory, algebra, statistics, analysis, differential geometry, geodesy, geophysics, electrostatics, astronomy, Matrix theory, and optics. Earth's magnetic field, also known as the geomagnetic field, is the magnetic field that extends from the Earth's interior to where it meets the solar wind, a stream of charged particles emanating from the Sun. Its magnitude at the Earth's surface ranges from 25 to 65 microtesla (0.25 to 0.65 gauss). Roughly speaking it is the field of a magnetic dipole currently tilted at an angle of about 10 degrees with respect to Earth's rotational axis, as if there were a bar magnet placed at that angle at the center of the Earth. Unlike a bar magnet, however, Earth's magnetic field changes over time because it is generated by a geodynamo (in Earth's case, the motion of molten iron alloys in its outer core).
Views: 7181 Dap Dapple

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Visions in Mathematics Towards 2000 All videos playlist https://www.youtube.com/playlist?list=PLP0YToNcfAwLBd8yibTtjv3aHfcbT4GBA The Proceeding of this conference was published by Birkhauser in two parts, and also represent the Volume 2000 of GAFA: https://books.google.ru/books?id=kQtYL7pUWSwC&printsec=frontcover&hl=ru#v=onepage&q&f=false https://books.google.ru/books?id=MNpJ4voD5PQC&printsec=frontcover&hl=ru#v=onepage&q&f=false Wednesday, August 25, 1999, 9:15-15:00 1.0 Introduction by U.Liberman and V.Milman 1.1 M. Gromov : Geometry as the art of asking questions 1.2 H. Hofer : Holomorphic curves and real three-dimentional dynamics 1.3 Y. Eliashberg : Symplectic field theory 1.4 H. Furstenberg : Dynamical methods in Diophantine problems Wednesday, August 25, 1999, 15:00-18:00 1.5 G. Margulis : Diophantine approximation, lattices and flows on homogeneous spaces 1.6 Y. Sinai : On some problems in the theory of dynamical systems and mathematical physics 1.7 Discussion of the subjects of lectures, Day August 25 with introduction by Y. Sinai (Zakharov, Shnirelman, Hofer) Thursday, August 26, 1999, 9:00-12:00 2.1 J. Fröhlich: Large quantum systems 2.2 Y. Ne'eman : Physics as geometry – Plato vindicated 2.3 A. Connes : Non-commutative geometry Thursday, August 26, 1999, 13:00-18:00 2.4 P. Shor : Mathematical problems in quantum information theory 2.5 A. Razborov : Complexity of proofs and computation 2.6 A. Wigderson : Some fundamental insights of computational complexity 2.7 M. Rabin : The mathematics of trust and adversity Friday, August 27, 1999, 14:00-18:00, Moriah Hotel, Dead Sea 3.1 A. Jaffe : Mathematics of quantum fields 3.2 S. Novikov : Topological phenomena in real physics 3.3 Discussion on Mathematical Physics with introduction by A. Connes 3.4 Discussion on Geometry with introduction by M. Gromov Sunday, August 29, 1999, 10:00-12:00, 14:00-16:00, Moriah Hotel, Dead Sea 4.1 Discussion on Mathematics in the Real World (image, applications etc.) with introduction by R. Coifman 4.2 Discussion on Computer Science and Discrete Mathematics with introduction by M. Rabin Monday, August 30, 1999, 9:00-12:30 5.1 R. Coifman : Challenges in analysis 1 5.2 P. Jones : Challenges in analysis 2 5.3 E. Stein : Some geometrical concepts arising in harmonic analysis 5.4 Discussion of the subjects of lectures, Morning August 30 Monday, August 30, 1999, 14:30-18:00 5.5 H. Iwaniec : Automorphic forms in recent developments of analytic number theory 5.6 P. Sarnak : Some problems in number theory and analysis 5.7 D. Zagier : On "q" (or "Connections between modular forms, combinatorics and topology") 5.8 Discussion "The unreasonable effectiveness of modular forms" introduced by P. Sarnak Tuesday, August 31, 1999, 9:00-13:00 6.1 L. Lovász : Discrete and continuous: two sides of phenomena 6.2 N. Alon : Probabilistic and algebraic methods in discrete mathematics 6.3 G. Kalai : An invitation to Tverberg's theorem 6.4 Discussion of the subjects of lectures, Morning August 31 Tuesday, August 31, 1999, 14:30-19:00 6.5 T. Gowers : Rough structure and crude classification 6.6 J. Bourgain : Some problems in Hamiltonian PDE's 6.7 V. Milman : Topics in geometric analysis 6.8 Discussion of the subjects of lectures, Evening August 31 Wednesday, September 1, 1999, 9:00-12:30 7.1 S. Bloch : Characteristic classes for linear differential equations 7.2 V. Voevodsky : Motivic homotopy types 7.3 D. Kazhdan : The lifting problems and crystal base Wednesday, September 1, 1999, 14:30-18:40 7.4 A. Beilinson : Around geometric Langlands 7.5 J. Bernstein : Equivariant derived categories 7.6 V. Kac : Classification of infinite-dimensional simple groups of supersymetries and quantum field theory 7.7 Discussion of the subjects of lectures, Evening September 1 Thursday, September 2, 1999, 9:00-12:50 8.1 R. MacPherson : On the applications of topology 8.2 M. Kontsevich : Smooth and compact 8.3 D. Sullivan : String interactions in topology 8.4 Discussion of the subjects of lectures, Morning September 2 Thursday, September 2, 1999, 14:30-19:00 8.5 R.J. Aumann : Mathematical game theory: Looking backward and forward 8.6 E. Hrushovski : Logic and geometry 8.7 Discussion of the subjects of lectures, Evening September 2 8.8 Discussion "The role of homotopical algebra in physics" with introductions by D. Sullivan and M. Kontsevich Friday, September 3, 1999, 9:00-13:30 9.1 T. Spencer : Universality and statistical mechanics 9.2 E. Lieb : The mathematics of the second law of thermodynamics 9.3 A. Kupiainen : Lessons for turbulence 9.4 S. Klainerman : Some general remarks concerning nonlinear PDE's 9.5 Discussion of the subjects of lectures, Day September 3

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Part I: Complex Variables, Lecture 1: The Complex Numbers Instructor: Herbert Gross View the complete course: http://ocw.mit.edu/RES18-008F11 License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu
Views: 289780 MIT OpenCourseWare

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Buy JEE Maths video lectures : Call 07814166606, 0172-4280095, Visit our website http://www.tewanimaths.com Prof. Ghanshyam Tewani is author of many books on IITJEE mathematics published by worlds one of the most renowned publisher CENGAGE LEARNING. These books are appreciated all over INDIA and abroad. These books are now one of the top selling books in INDIA. Some books authored by Prof. Ghanshyam Tewani are 1. Algebra 2. Coordinate Geometry 3. Trigonometry 4. Calculus 5. Vectors and 3-D Geometry Prof. Ghanshyam Tewani has experience of 15 years for training students in Mathematics for IITJEE and other competitive examinations. He has worked for four years for FIITJEE Ltd., Delhi , the renowned name in IITJEE coaching. He is a rare genius, acknowledged as one of the best national level teachers in mathematics. His intense and concise lectures are aimed at clearing the student's fundamental concepts in mathematics and at the same time, laying a strong foundation for better understanding of complex problems. A man of uncommon devotion, he leaves no stone unturned to help out needy and deserving students. Every single word he speaks is weighed, for he believes in precision. In his own words, "For me each student counts, each one must learn to the best of his / her capability." Being a perfectionist, he doesn't tolerate even a minor error. It is not surprising that the best & most brilliant of student community hold him as their ideal and an adored mentor. Our Mission To develop a strong base with deeper understanding, and strengthen theoretical and applied dimensions of mathematics. To equip the students with a set of conceptual skills, intuitive tricks and fast methods to make them more confident and consequently expel the baseless fear of mathematics. (Buy iitjee videos : Call 07814166606, 0172-4280095, Visit our website www.tewanimaths.com)

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http://www.mindbites.com/lesson/3014 Taught by Professor Edward Burger, this lesson was selected from a broader, comprehensive course, College Algebra. This course and others are available from Thinkwell, Inc. The full course can be found athttp://www.thinkwell.com/student/product/collegealgebra. The full course covers equations and inequalities, relations and functions, polynomial and rational functions, exponential and logarithmic functions, systems of equations, conic sections and a variety of other AP algebra, advanced algebra and Algebra II topics. Edward Burger, Professor of Mathematics at Williams College, earned his Ph.D. at the University of Texas at Austin, having graduated summa cum laude with distinction in mathematics from Connecticut College. He has also taught at UT-Austin and the University of Colorado at Boulder, and he served as a fellow at the University of Waterloo in Canada and at Macquarie University in Australia. Prof. Burger has won many awards, including the 2001 Haimo Award for Distinguished Teaching of Mathematics, the 2004 Chauvenet Prize, and the 2006 Lester R. Ford Award, all from the Mathematical Association of America. In 2006, Reader's Digest named him in the "100 Best of America". Prof. Burger is the author of over 50 articles, videos, and books, including the trade book, Coincidences, Chaos, and All That Math Jazz: Making Light of Weighty Ideas and of the textbook The Heart of Mathematics: An Invitation to Effective Thinking. He also speaks frequently to professional and public audiences, referees professional journals, and publishes articles in leading math journals, including The Journal of Number Theory and American Mathematical Monthly. His areas of specialty include number theory, Diophantine approximation, p-adic analysis, the geometry of numbers, and the theory of continued fractions. Prof. Burger's unique sense of humor and his teaching expertise combine to make him the ideal presenter of Thinkwell's entertaining and informative video lectures.
Views: 1991 Mindbitesdotcom

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December 5, 2016 - NAS foreign associate Jean Bourgain was awarded the 2017 Breakthrough Prize in Mathematics. Jean Bourgain is IBM von Neumann Professor in the School of Mathematics at the Institute for Advanced Study, Princeton, New Jersey. He was awarded the Prize for multiple transformative contributions to analysis, combinatorics, partial differential equations, high-dimensional geometry and number theory. This video was created by National Geographic and The Breakthrough Prize. You can learn more about his work at http://www.nasonline.org/member-directory/members/20024877.html

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Views: 234 fiumathclub

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Views: 775181 mathantics

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I hope you found this video useful, please subscribe for daily videos! WBM Foundations: Mathematical logic Set theory Algebra: Number theory Group theory Lie groups Commutative rings Associative ring theory Nonassociative ring theory Field theory General algebraic systems Algebraic geometry Linear algebra Category theory K-theory Combinatorics and Discrete Mathematics Ordered sets Geometry Geometry Convex and discrete geometry Differential geometry General topology Algebraic topology Manifolds Analysis Calculus and Real Analysis: Real functions Measure theory and integration Special functions Finite differences and functional equations Sequences and series Complex analysis Complex variables Potential theory Multiple complex variables Differential and integral equations Ordinary differential equations Partial differential equations Dynamical systems Integral equations Calculus of variations and optimization Global analysis, analysis on manifolds Functional analysis Functional analysis Fourier analysis Abstract harmonic analysis Integral transforms Operator theory Numerical analysis and optimization Numerical analysis Approximations and expansions Operations research Probability and statistics Probability theory Statistics Computer Science Computer science Information and communication Applied mathematics Mechanics of particles and systems Mechanics of solids Fluid mechanics Optics, electromagnetic theory Classical thermodynamics, heat transfer Quantum Theory Statistical mechanics, structure of matter Relativity and gravitational theory Astronomy and astrophysics Geophysics applications Systems theory Other sciences Category
Views: 131 WelshBeastMaths

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I hope you found this video useful, please subscribe for daily videos! WBM Foundations: Mathematical logic Set theory Algebra: Number theory Group theory Lie groups Commutative rings Associative ring theory Nonassociative ring theory Field theory General algebraic systems Algebraic geometry Linear algebra Category theory K-theory Combinatorics and Discrete Mathematics Ordered sets Geometry Geometry Convex and discrete geometry Differential geometry General topology Algebraic topology Manifolds Analysis Calculus and Real Analysis: Real functions Measure theory and integration Special functions Finite differences and functional equations Sequences and series Complex analysis Complex variables Potential theory Multiple complex variables Differential and integral equations Ordinary differential equations Partial differential equations Dynamical systems Integral equations Calculus of variations and optimization Global analysis, analysis on manifolds Functional analysis Functional analysis Fourier analysis Abstract harmonic analysis Integral transforms Operator theory Numerical analysis and optimization Numerical analysis Approximations and expansions Operations research Probability and statistics Probability theory Statistics Computer Science Computer science Information and communication Applied mathematics Mechanics of particles and systems Mechanics of solids Fluid mechanics Optics, electromagnetic theory Classical thermodynamics, heat transfer Quantum Theory Statistical mechanics, structure of matter Relativity and gravitational theory Astronomy and astrophysics Geophysics applications Systems theory Other sciences Category
Views: 60 WelshBeastMaths

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Definition of algebraic numbers; the root of 2 is algebraic (and not rational); Rational Zeroes theorem; alternate proof that the root of 2 is irrational.
Views: 1110 Winston Ou

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Views: 1392190 3Blue1Brown

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This is the first lecture in a course titled "Intro to Math Analysis". This is a test video, but with any luck, the full sequence of lectures will be published at some point.

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Full-course playlist: https://www.youtube.com/playlist?list=PLhsb6tmzSpixcWT-mYCs2G-0rUWs9wtYX Fall 2014 MATH 274 Topics in Algebra: "p-adic Geometry" by Peter Scholze http://www.msri.org/web/msri/online-videos/scholze-lecture-fall-2014 https://math.berkeley.edu/courses/fall-2014-math-274-001-lec

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algebra is a branch of maths together with number theory,geometry and analysis.In part 1 we will discuss about variable,literal,co efficient,terms,algebraic expressions,arithmetic operations on terms and expressions,the ways to do arithmetic operations,etc.these are explained clearly in english by dk if you like the video like it if you dislike the video please dislike it.Comment the video below.But don't forget to subscribe. enjoy watching and keep smiling by dk if you want to download or watch live at https://youtu.be/nGAHZ2ABoWY
Views: 20 dk knowhub

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http://www.mindbites.com/lesson/3013 Taught by Professor Edward Burger, this lesson was selected from a broader, comprehensive course, College Algebra. This course and others are available from Thinkwell, Inc. The full course can be found athttp://www.thinkwell.com/student/product/collegealgebra. The full course covers equations and inequalities, relations and functions, polynomial and rational functions, exponential and logarithmic functions, systems of equations, conic sections and a variety of other AP algebra, advanced algebra and Algebra II topics. Edward Burger, Professor of Mathematics at Williams College, earned his Ph.D. at the University of Texas at Austin, having graduated summa cum laude with distinction in mathematics from Connecticut College. He has also taught at UT-Austin and the University of Colorado at Boulder, and he served as a fellow at the University of Waterloo in Canada and at Macquarie University in Australia. Prof. Burger has won many awards, including the 2001 Haimo Award for Distinguished Teaching of Mathematics, the 2004 Chauvenet Prize, and the 2006 Lester R. Ford Award, all from the Mathematical Association of America. In 2006, Reader's Digest named him in the "100 Best of America". Prof. Burger is the author of over 50 articles, videos, and books, including the trade book, Coincidences, Chaos, and All That Math Jazz: Making Light of Weighty Ideas and of the textbook The Heart of Mathematics: An Invitation to Effective Thinking. He also speaks frequently to professional and public audiences, referees professional journals, and publishes articles in leading math journals, including The Journal of Number Theory and American Mathematical Monthly. His areas of specialty include number theory, Diophantine approximation, p-adic analysis, the geometry of numbers, and the theory of continued fractions. Prof. Burger's unique sense of humor and his teaching expertise combine to make him the ideal presenter of Thinkwell's entertaining and informative video lectures.
Views: 1299 Mindbitesdotcom

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Jean Bourgain IBM von Neumann Professor, School of Mathematics March 23, 2015 Decoupling inequalities in harmonic analysis permit to bound the Fourier . Princeton University - January 26, 2016 This talk was part of Analysis, PDEs, and Geometry: A conference in honor of Sergiu Klainerman. Topic: Decoupling in harmonic analysis and the Vinogradov mean value theorem Speaker: Jean Bourgain Date: Thursday, December 17 Based on a new . We explain how a certain decoupling theorem from Fourier analysis finds sharp applications in PDEs, incidence geometry and analytic number theory. This is .
Views: 20 Olivia Frank

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College Algebra with Professor Richard Delaware - UMKC VSI - Lecture 5 - More numbers and Geometry. In this Lecture,we learn about Complex numbers,some area formulae and the Pythagorean theorem.
Views: 60287 UMKC

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