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Free Download Mathematics from the Visual World English | 2009 | ISBN: 1598035134 | 12 hours 24 minutes | MP3 128 Kbps | 687 Mb Geometry has long been recognized not only as a fascinating skill, but as a gateway to the highest realms of human thought. Mathematics from the Visual World , taught by distinguished Professor Michael Starbird, introduces you to the terms, concepts, and astonishing power of geometry, including topology, conic sections, non-Euclidian geometry, congruence, and much more. In 24 richly illustrated lectures, you discover the important role this profound mathematical field plays in everything from algebra and calculus to cosmology and chemistry to art and architecture. This delightful, invigorating, and enlightening journey will allow you to master one of the most glorious inventions of the human mind. Plato's Academy in Athens was the think tank of the ancient world and bore this motto over its door: "Let no one ignorant of geometry enter here." Ever since, geometry has been recognized as not only a useful and fascinating skill, but also as a gateway to the highest realms of human thought. Seemingly simple geometric ideas such as the Pythagorean theorem turn out to have profound implications in unexpected places, including our modern conception of space and time. Mathematics from the Visual World, taught by veteran Teaching Company Professor Michael Starbird of The University of Texas at Austin, takes Plato's dictum to heart and introduces you to the terms, concepts, and astonishing power of geometry. In 24 richly illustrated lectures, you learn that geometry is everywhere. It is the key to scientific disciplines from cosmology to chemistry. It is central to art and architecture. It provides deep insights into algebra, calculus, and other mathematical fields. And it is stunning to contemplate in its beauty. Consider these intriguing applications of geometry * Conic sections: Euclid and other ancient mathematicians investigated conic sections-the shapes produced by the intersection of a plane and a cone. Two thousand years later, Galileo, Kepler, and Newton discovered that these shapes describe the paths followed by free-falling objects in a gravitational field. * Non-Euclidean geometry: Euclidean geometry is simple and intuitive, and it appears to govern the world around us. But a nagging problem with Euclid's concept of parallel lines led to the discovery of new geometries in the 1800s. These non-Euclidean geometries accurately reflect phenomena in physics and other disciplines. * Topology: Under what conditions can a coffee cup and a doughnut be considered the same? When they are analyzed in topology-the branch of mathematics that deals with shapes that retain their identity after twisting and stretching. Topology captures fundamental geometric properties of objects, giving us a new perspective on reality. Intellect and Eye From the simplicity of the golden rectangle to the infinitely complex realm of fractals, no other area of mathematics is so richly endowed with interesting examples as geometry, which appeals to both the intellect and the eye. All of geometry's many applications make use of the bedrock concepts of axioms, theorems, and proofs. In Mathematics from the Visual World, you discover that these traditional techniques are not ends in themselves but tools for gaining new insights such as these * In exploring the surprisingly diverse ways of defining the center of a triangle, you learn that one type of center, and the associated circle that inscribes the triangle with that center, led to a breakthrough in skin-grafting techniques for surgeons. * The unusual shape of art galleries, with many nooks and crannies, raises the question of how many security cameras suffice to protect the room. You learn creative strategies for attacking this problem and reaching a solution. * The shape of the universe itself is subject to simple geometric analysis. The observations themselves may be tricky, but Dr. Starbird shows that distinguishing among three possible geometries is relatively straightforward once we have the data. On a more everyday level, you may be interested to know that the age-old problem of how to cut a square cake so that each piece has the same quantity of icing is easily solved. Famous Problems Geometry is also richly endowed with famous problems, some with life-or-death implications. Take the Delian Problem: Legend has it that in ancient Athens the citizens consulted the oracle at Delos for advice on how to stop a deadly plague. The oracle replied that the plague would end if the Athenians doubled the size of their cube-shaped altar to the god Apollo. So the Athenians doubled each side. But the plague continued unabated. The oracle had meant that they should double the altar's volume, not its linear dimensions. Doubling the cube in this way is a classic problem from antiquity, which Professor Starbird proves is impossible to solve with the traditional tools of a straightedge and compass. However, in the 17th century Isaac Newton showed that the construction can be done if one is allowed to make two marks on the straightedge. Dr. Starbird explains how this clever trick works. Here are some other famous problems that you investigate in Mathematics from the Visual World * How large is the Earth? The problem of measuring the Earth was solved around 200 B.C. by the Greek mathematician Eratosthenes. All he needed were observations of the shadow cast by the sun at two particular locations on a special date-plus a bit of geometry. * Why is it dark at night? A geometrical argument by 19th-century German astronomer Heinrich Wilhelm Olbers proved that the universe cannot be infinite in size, infinitely old, and compositionally the same in all directions. Otherwise, the night sky would be ablaze with light-which it isn't. * Königsberg bridges: Walkers in 18th-century Königsberg in Prussia amused themselves by seeing if they could cross all seven bridges in the central city without passing over the same bridge twice. Mathematician Leonhard Euler showed there is no solution, laying the foundation for the field of graph theory. A Delightful, Enlightening, and Invigorating Journey A specialist in geometry and topology, Dr. Starbird is not only Professor of Mathematics at The University of Texas at Austin but also University Distinguished Teaching Professor. He has won an impressive array of teaching awards, including most of the major teaching awards at UT, a prestigious statewide teaching award, and the national teaching award from the Mathematical Association of America. Professor Starbird believes that there is no excuse for a dull course on mathematics, a philosophy he pursues throughout Mathematics from the Visual World. In Lecture 1 he says, "To me, the satisfying aspect of a great proof occurs when the proof reveals some underlying, often surprising connection or relationship from which we see some truth that we previously could not fathom. When we see such a proof, we might say, 'Aha, that's why it's true.'" Although they don't always come easily, you have many such "aha" moments in this course. An old story recounts that King Ptolemy of Egypt asked Euclid, the father of geometry, whether there was a simpler way to understand the axioms, theorems, and proofs of the subject. Euclid's famous answer was, "There is no royal road to geometry." However, now there is Professor Starbird's road, which is a delightful, enlightening, and invigorating journey through one of the most glorious inventions of the human mind. 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Free Download TTC - Mathematics Describing the Real World Precalculus and Trigonometry Last updated 9/2024 MP4 | Video: h264, 1280x720 | Audio: AAC, 44.1 KHz, 2 Ch Genre: eLearning | Language: English | Duration: 36 Lessons ( 18h 42m ) | Size: 15.7 GB What's the sure road to success in calculus? The answer is simple: Precalculus. Traditionally studied after Algebra II, this mathematical field covers advanced algebra, trigonometry, exponents, logarithms, and much more What's the sure road to success in calculus? The answer is simple: Precalculus. Traditionally studied after Algebra II, this mathematical field covers advanced algebra, trigonometry, exponents, logarithms, and much more. These interrelated topics are essential for solving calculus problems, and by themselves are powerful methods for describing the real world, permeating all areas of science and every branch of mathematics. Little wonder, then, that precalculus is a core course in high schools throughout the country and an important review subject in college. Unfortunately, many students struggle in precalculus because they fail to see the links between different topics-between one approach to finding an answer and a startlingly different, often miraculously simpler, technique. As a result, they lose out on the enjoyment and fascination of mastering an amazingly useful tool box of problem-solving strategies. And even if you're not planning to take calculus, understanding the fundamentals of precalculus can give you a versatile set of skills that can be applied to a wide range of fields-from computer science and engineering to business and health care. Mathematics Describing the Real World: Precalculus and Trigonometry is your unrivaled introduction to this crucial subject, taught by award-winning Professor Bruce Edwards of the University of Florida. Professor Edwards is coauthor of one of the most widely used textbooks on precalculus and an expert in getting students over the trouble spots of this challenging phase of their mathematics education. "Calculus is difficult because of the precalculus skills needed for success," Professor Edwards points out, adding, "In my many years of teaching, I have found that success in calculus is assured if students have a strong background in precalculus." A Math Milestone Made Clear In 36 intensively illustrated half-hour lectures, supplemented by a workbook with additional explanations and problems, Mathematics Describing the Real World takes you through all the major topics of a typical precalculus course taught in high school or college. Those who will especially benefit from Professor Edwards's lucid and engaging approach include high school and college students currently enrolled in precalculus who feel overwhelmed and want coaching from an inspiring teacher who knows where students stumble; parents of students, who may feel out of their depth with the advanced concepts taught in precalculus; those who have finished Algebra II and are eager to get a head start on the next milestone on the road to calculus; beginning calculus students who want to review and hone their skills in crucial precalculus topics; anyone motivated to learn precalculus on his or her own, whether as a home-schooled pupil or as an adult preparing for a new career. The Powerful Tools of Precalculus With precalculus, you start to see all of mathematics as a unified whole-as a group of often radically different techniques for representing data, analyzing problems, and finding solutions. And you discover that these techniques are ultimately connected in a beautiful way. Perceiving these connections helps you choose the best tool for a given problem Algebraic functions: Including polynomial functions and rational functions, these equations relate the input value of a variable to a single output value, corresponding to countless everyday situations in which one event depends on another. Trigonometry: Originally dealing with the measurement of triangles, this subject has been vastly enriched by the concept of the trigonometric function, which models many types of cyclical processes, such as waves, orbits, and vibrations. Exponential and logarithmic functions: Often involving the natural base, e, these functions are built on terms with exponents and their inverse, logarithms, and describe phenomena such as population growth and the magnitude of an earthquake on the Richter scale. Complex numbers: Seemingly logic-defying, complex numbers are based on the square root of -1, designated by the symbol i. They are essential for solving many technical problems and are the basis for the beautiful patterns in fractal geometry. Vectors: Quantities like velocity have both magnitude and direction. Vectors allow the direction component to be specified in a form that allows addition, multiplication, and other operations that are crucial in fields such as physics. Matrices: A matrix is a rectangular array of numbers with special rules that permit two matrices to be added or multiplied. Practically any situation where data are collected in columns and rows can be treated mathematically as a matrix. In addition, Professor Edwards devotes two lectures to conic sections, slicing a cone mathematically into circles, parabolas, ellipses, and hyperbolas. You also learn when it's useful to switch from Cartesian to polar coordinates; how infinite sequences and series lead to the concept of the limit in calculus; and two approaches to counting questions: permutations and combinations. You close with an introduction to probability and a final lecture that features an actual calculus problem, which your experience in precalculus makes ... elementary! Real-World Mathematics Believing that students learn mathematics most effectively when they see it in the context of the world around them, Professor Edwards uses scores of interesting problems that are fun, engaging, and often relevant to real life. Among the many applications of precalculus that you'll encounter are these Public health: A student with a new strain of flu arrives at college. How long before every susceptible person is infected? An exponential function called the logistic growth model shows how quickly an epidemic spreads. Surveying: Suppose you have to measure the diagonal width of a marsh without getting wet. It's a simple matter of walking two sides of a triangle on dry land and then using trigonometry to determine the length of the third side that spans the marsh. Astronomy: One of the most famous cases involving the sine and cosine functions that model periodic phenomena occurred in 1967, when astronomer Jocelyn Bell detected a radio signal from space at 1.3373-second intervals. It proved to be the first pulsar ever observed. Acoustics: The special properties of an ellipse explain why a person standing at a given spot in the U.S. Capitol's Statuary Hall can hear a whisper from someone standing 85 feet away. Computer graphics: How do you make an object appear to rotate on a computer screen? Matrix algebra allows you to move each pixel in an image by a specified angle by multiplying two matrices together. Probability: Have you ever forgotten your four-digit ATM PIN number? What is the probability that you can guess it? A simple calculation shows that you would have to punch numbers nonstop for many hours before being assured of success. An Adventure in Mathematical Learning A three-time Teacher of the Year in the College of Liberal Arts and Sciences at the University of Florida, Professor Edwards has a time-tested approach to making difficult material accessible. In Mathematics Describing the Real World, he enlivens his lectures with study tips and a feature he calls "You Be the Teacher," in which he puts you in the professor's shoes by asking how you would design a particular test problem or answer one of the frequently asked questions he gets in the classroom. For example, are all exponential functions increasing? After you hear Professor Edwards's explanation, you'll know that when someone uses the term "exponentially," you should ask, "Do you mean exponential growth or decay?"-for it can go in either direction. He also gives valuable tips on using graphing calculators, pointing out their amazing capabilities-and pitfalls. What Will You Learn? Get introduced (or reintroduced) to inverse, rational, exponential, and polynomial functions. Delve into the laws of sine and cosine. Dig into the rudimentary world of probability to determine your odds at winning the lottery. 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Mastering the Fundamentals of Mathematics 24xDVDRip | MP4/AVC, ~731 kb/s | 426x320 | Duration: 12:27:18 | English: AAC, 96 kb/s (2 ch) | 4.45 GB Genre: Mathematics Whether you're a high-school student preparing for the challenges of higher math classes, an adult who needs a refresher in math to prepare for a new career, or someone who just wants to keep his or her mind active and sharp, there's no denying that a solid grasp of arithmetic and prealgebra is essential in today's world. Knowing the fundamentals of mathematics can increase your chances of success in high-school and college math classes; prepare you for a career in a field that requires a strong foundation in math, such as economics, engineering, medicine, and the building trades; strengthen your everyday critical thinking skills; and help you handle with confidence everyday tasks such as shopping and planning a personal budget. 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TTC Video - Mastering the Fundamentals of Mathematics English | .MKV, x264, 784 kbps, 960x720 | AAC, 96 kbps, 2 Ch | 24x30 mins | 4.83 Gb Genre: eLearning Multiplying and dividing large nuMbers. Simplifying fractions and converting percentages. Handling square roots and exponents. These and other skills are the veritable foundation on which all of mathematics rests. To master them is to unlock the door to more advanced areas of study-such as algebra, geometry, and calculus-and to discover new levels of confidence in dealing with the math of everyday life. Whether you're a high-school student preparing for the challenges of higher math classes, an adult who needs a refresher in math to prepare for a new career, or someone who just wants to keep his or her mind active and sharp, there's no denying that a solid grasp of arithmetic and prealgebra is essential in today's world. Knowing the fundamentals of mathematics can 24 Lectures: 01--Addition and Subtraction 02--Multiplication 03--Long Division 04--Introduction to Fractions 05--Adding and Subtracting Fractions 06--Multiplying Fractions 07--Dividing Fractions 08--Adding and Subtracting Decimals 09--Multiplying and Dividing Decimals 10--Fractions, Decimals, and Percents 11--Percent Problems 12--Ratios and Proportions 13--Exponents and Order of Operations 14--Negative and Positive Integers 15--Introduction to Square Roots 16--Negative and Fractional Powers 17--Graphing in the Coordinate Plane 18--Geometry-Triangles and Quadrilaterals 19--Geometry-Polygons and Circles 20--NuMber Theory-Prime NuMbers and Divisors 21--NuMber Theory-Divisibility Tricks 22--Introduction to Statistics 23--Introduction to Probability 24--Introduction to Algebra DOWNLOAD http://rapidgator.net/file/60585a527658090c83694e8c356607e0/bMathematics.part1.rar.html http://rapidgator.net/file/4951ed1a0b278bd6d49712d220f3c0f7/bMathematics.part2.rar.html http://rapidgator.net/file/21b65d8f549978493499d12128187ecb/bMathematics.part3.rar.html http://rapidgator.net/file/24b9b32f607e239ad73be1a7a2cbd418/bMathematics.part4.rar.html http://rapidgator.net/file/21e231cd3078303027df650baa14acba/bMathematics.part5.rar.html http://uploaded.net/file/4e8matcg/bMathematics.part1.rar http://uploaded.net/file/wcz8gdwj/bMathematics.part2.rar http://uploaded.net/file/o037d62i/bMathematics.part3.rar http://uploaded.net/file/e755w1qp/bMathematics.part4.rar http://uploaded.net/file/e03oaxtp/bMathematics.part5.rar http://www.hitfile.net/5T8O/bMathematics.part1.rar.html http://www.hitfile.net/5T3C/bMathematics.part2.rar.html http://www.hitfile.net/5T3l/bMathematics.part3.rar.html http://www.hitfile.net/5T6X/bMathematics.part4.rar.html http://www.hitfile.net/5T1v/bMathematics.part5.rar.html http://www.uploadable.ch/file/Q8nNArScjYmN/bMathematics.part1.rar http://www.uploadable.ch/file/uQRWq9DUhpXK/bMathematics.part2.rar http://www.uploadable.ch/file/YEYCPdZhT4mZ/bMathematics.part3.rar http://www.uploadable.ch/file/dMEfPfEZX27Y/bMathematics.part4.rar http://www.uploadable.ch/file/xpsZdfNPUxay/bMathematics.part5.rar

TTC Video - Mastering the Fundamentals of Mathematics With James A. Sellers Course No. 1014 | .MKV, x264, 784 kbps, 960x720 | English, AAC, 96 kbps, 2 Ch | 24x30 mins | 4.83 GB Lecturer: Professor James A. Sellers Ph.D. Multiplying and dividing large numbers. Simplifying fractions and converting percentages. Handling square roots and exponents. These and other skills are the veritable foundation on which all of mathematics rests. To master them is to unlock the door to more advanced areas of study-such as algebra, geometry, and calculus-and to discover new levels of confidence in dealing with the math of everyday life. Whether you're a high-school student preparing for the challenges of higher math classes, an adult who needs a refresher in math to prepare for a new career, or someone who just wants to keep his or her mind active and sharp, there's no denying that a solid grasp of arithmetic and prealgebra is essential in today's world. Knowing the fundamentals of mathematics can 24 Lectures 01--Addition and Subtraction 02--Multiplication 03--Long Division 04--Introduction to Fractions 05--Adding and Subtracting Fractions 06--Multiplying Fractions 07--Dividing Fractions 08--Adding and Subtracting Decimals 09--Multiplying and Dividing Decimals 10--Fractions, Decimals, and Percents 11--Percent Problems 12--Ratios and Proportions 13--Exponents and Order of Operations 14--Negative and Positive Integers 15--Introduction to Square Roots 16--Negative and Fractional Powers 17--Graphing in the Coordinate Plane 18--Geometry-Triangles and Quadrilaterals 19--Geometry-Polygons and Circles 20--Number Theory-Prime Numbers and Divisors 21--Number Theory-Divisibility Tricks 22--Introduction to Statistics 23--Introduction to Probability 24--Introduction to Algebra More Info _http://www.thegreatcourses.com/courses/mastering-the-fundamentals-of-mathematics.html Download From Uploaded http://uploaded.net/file/6uptyq89/Mastering_the_Fundamentals_of_Mathematics.part01.rar http://uploaded.net/file/f4eaczr7/Mastering_the_Fundamentals_of_Mathematics.part02.rar http://uploaded.net/file/hmvr3698/Mastering_the_Fundamentals_of_Mathematics.part03.rar http://uploaded.net/file/typmb3bf/Mastering_the_Fundamentals_of_Mathematics.part04.rar http://uploaded.net/file/llfy3szn/Mastering_the_Fundamentals_of_Mathematics.part05.rar http://uploaded.net/file/vi5d78xl/Mastering_the_Fundamentals_of_Mathematics.part06.rar http://uploaded.net/file/kp79co87/Mastering_the_Fundamentals_of_Mathematics.part07.rar http://uploaded.net/file/ed88y5na/Mastering_the_Fundamentals_of_Mathematics.part08.rar http://uploaded.net/file/h7x0hql9/Mastering_the_Fundamentals_of_Mathematics.part09.rar http://uploaded.net/file/jm05bm3p/Mastering_the_Fundamentals_of_Mathematics.part10.rar http://uploaded.net/file/kxq9nfsy/Mastering_the_Fundamentals_of_Mathematics.part11.rar http://uploaded.net/file/t6v147v7/Mastering_the_Fundamentals_of_Mathematics.part12.rar Download From NitroFlare http://www.nitroflare.com/view/E07547EE3906F42/Mastering_the_Fundamentals_of_Mathematics.part01.rar http://www.nitroflare.com/view/C08F4AEDE805846/Mastering_the_Fundamentals_of_Mathematics.part02.rar http://www.nitroflare.com/view/BC5A1F5D140BE50/Mastering_the_Fundamentals_of_Mathematics.part03.rar http://www.nitroflare.com/view/733131503A13F64/Mastering_the_Fundamentals_of_Mathematics.part04.rar http://www.nitroflare.com/view/1054D5452149AD6/Mastering_the_Fundamentals_of_Mathematics.part05.rar http://www.nitroflare.com/view/946C0207F98EE06/Mastering_the_Fundamentals_of_Mathematics.part06.rar http://www.nitroflare.com/view/33190E1B90E5C63/Mastering_the_Fundamentals_of_Mathematics.part07.rar http://www.nitroflare.com/view/B2141EDE2E57A6B/Mastering_the_Fundamentals_of_Mathematics.part08.rar http://www.nitroflare.com/view/9A391B55BB5A7FD/Mastering_the_Fundamentals_of_Mathematics.part09.rar http://www.nitroflare.com/view/435B5E88B8193A8/Mastering_the_Fundamentals_of_Mathematics.part10.rar http://www.nitroflare.com/view/7588FD6A73BE4E2/Mastering_the_Fundamentals_of_Mathematics.part11.rar http://www.nitroflare.com/view/F980755F1E0045E/Mastering_the_Fundamentals_of_Mathematics.part12.rar Download From Rapidgator http://rapidgator.net/file/d0311d82608f44310408d8ecbf044ec4/Mastering_the_Fundamentals_of_Mathematics.part01.rar.html http://rapidgator.net/file/2c469d8c151deecfce262ab374fe1ed6/Mastering_the_Fundamentals_of_Mathematics.part02.rar.html http://rapidgator.net/file/38030ca8b3a49b827b51ff4a8a211926/Mastering_the_Fundamentals_of_Mathematics.part03.rar.html http://rapidgator.net/file/914537096b7e7b0ea30dbaf0ccc66ea7/Mastering_the_Fundamentals_of_Mathematics.part04.rar.html http://rapidgator.net/file/4e6e194bfb1f3d7a189ac1d828c14839/Mastering_the_Fundamentals_of_Mathematics.part05.rar.html http://rapidgator.net/file/90331de4f08e417b0804fae2f33881d0/Mastering_the_Fundamentals_of_Mathematics.part06.rar.html http://rapidgator.net/file/cab21f9ad04d31bd30f911dbfd02e4e4/Mastering_the_Fundamentals_of_Mathematics.part07.rar.html http://rapidgator.net/file/6628200d40e2124628a2b384161e7ea5/Mastering_the_Fundamentals_of_Mathematics.part08.rar.html http://rapidgator.net/file/dba9de5089e67f71b45caea19a3f8dd3/Mastering_the_Fundamentals_of_Mathematics.part09.rar.html http://rapidgator.net/file/834d37eaef947673ac7323848f62b246/Mastering_the_Fundamentals_of_Mathematics.part10.rar.html http://rapidgator.net/file/598a95e3f94c3d998944e4b549866ac0/Mastering_the_Fundamentals_of_Mathematics.part11.rar.html http://rapidgator.net/file/a7e21e6d758a614de5ce52f70dc44c35/Mastering_the_Fundamentals_of_Mathematics.part12.rar.html

Queen of the Sciences: A History of Mathematics With David Bressoud 24xDVDRip | AVI/XviD, ~772 kb/s | 640x480 | Duration: 12:17:07 | English: MP3, 96 kb/s (2 ch) | + PDF Guide | 4.43 GB Genre: Mathematics, History In the 17th century, the great scientist and mathematician Galileo Galilei noted that the book of nature "cannot be understood unless one first learns to comprehend the language and read the characters in which it is written. It is written in the language of mathematics, and its characters are triangles, circles, and other geometric figures, without which it is not humanly possible to understand a single word of it." Lectures: 1. What Is Mathematics? 2. Babylonian and Egyptian Mathematics 3. Greek Mathematics-Thales to Euclid 4. Greek Mathematics-Archimedes to Hypatia 5. Astronomy and the Origins of Trigonometry 6. Indian Mathematics-Trigonometry Blossoms 7. Chinese Mathematics-Advances in Computation 8. Islamic Mathematics-The Creation of Algebra 9. 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