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| maths at light speed: Lightspeed John C. H. Spence, 2020 This book tells the story of one of man's greatest intellectual adventures - how it came to be understood that light travels at a finite speed, so that when we look up at the stars we are looking back in time. From the ancient Greeks measuring the distance to the sun, to today's satellite navigation, the book offers a gripping historical journey. |
| maths at light speed: Speed Mathematics Simplified Edward Stoddard, 2013-04-09 Entertaining, easy-to-follow suggestions for developing greater speed and accuracy in doing mathematical calculations. Surefire methods for multiplying without carrying, mastering fractions, working quickly with decimals, handling percentages, and much more. |
| maths at light speed: University Physics OpenStax, 2016-11-04 University Physics is a three-volume collection that meets the scope and sequence requirements for two- and three-semester calculus-based physics courses. Volume 1 covers mechanics, sound, oscillations, and waves. Volume 2 covers thermodynamics, electricity and magnetism, and Volume 3 covers optics and modern physics. This textbook emphasizes connections between between theory and application, making physics concepts interesting and accessible to students while maintaining the mathematical rigor inherent in the subject. Frequent, strong examples focus on how to approach a problem, how to work with the equations, and how to check and generalize the result. The text and images in this textbook are grayscale. |
| maths at light speed: Maths 1001 Dr Richard Elwes, Richard Elwes, 2017-07-06 The ultimate smart reference to the world of mathematics - from quadratic equations and Pythagoras' Theorem to chaos theory and quantum computing. Maths 1001 provides clear and concise explanations of the most fascinating and fundamental mathematical concepts. Distilled into 1001 bite-sized mini-essays arranged thematically, this unique reference book moves steadily from the basics through to the most advanced of ideas, making it the ideal guide for novices and mathematics enthusiasts. Whether used as a handy reference, an informal self-study course or simply as a gratifying dip-in, this book offers - in one volume - a world of mathematical knowledge for the general reader. Maths 1001 is an incredibly comprehensive guide, spanning all of the key mathematical fields including Numbers, Geometry, Algebra, Analysis, Discrete Mathematics, Logic and the Philosophy of Maths, Applied Mathematics, Statistics and Probability and Puzzles and Mathematical Games. From zero and infinity to relativity and Godel's proof that maths is incomplete, Dr Richard Elwes explains the key concepts of mathematics in the simplest language with a minimum of jargon. Along the way he reveals mathematical secrets such as how to count to 1023 using just 10 fingers and how to make an unbreakable code, as well as answering such questions as: Are imaginary numbers real? How can something be both true and false? Why is it impossible to draw an accurate map of the world? And how do you get your head round the mind-bending Monty Hall problem? Extensive, enlightening and entertaining, this really is the only maths book anyone would ever need to buy. |
| maths at light speed: Maths Unwrapped Mattias Ribbing, Per Sundin, 2019-11-28 Why do so many of us struggle to remember the maths we were taught at school? The answer is that we can successfully memorise things for a short period but we only retain those memories long term if we understand them. Mattias Ribbing is a Grand Master of Memory who will show you how to remember maths through truly understanding it. His methods are simple but will last for life, and unwrap the puzzle of maths forever. The key to confidence with numbers is not remembering complex rules surrounding long division or algebra; it's understanding the critical components of maths and being able to clearly visualise problems and solutions. This illuminating guide to improving your maths provides logical, long-term strategies that will enable you to finally get maths and hold on to that level of confidence thereafter. |
| maths at light speed: Fine-Tuning in the Physical Universe David Sloan, Rafael Alves Batista, Michael Townsen Hicks, Roger Davies, 2020-10-29 An overview of fine-tuning arguments in physics, for students and researchers in physics and philosophy. |
| maths at light speed: The Science of Avatar Stephen Baxter, 2012-05-29 Audiences around the world have been enchanted by James Cameron's visionary Avatar, with its glimpse of the Na'vi on the marvelous world of Pandora. But the movie is not entirely a fantasy; there is a scientific rationale for much of what we saw on the screen, from the possibility of travel to other worlds, to the life forms seen on screen and the ecological and cybernetic concepts that underpin the 'neural networks' in which the Na'vi and their sacred trees are joined, as well as to the mind-linking to the avatars themselves. From popular science journalist and acclaimed science fiction author Stephen Baxter, The Science of Avatar is a guide to the rigorous fact behind the fiction. It will enhance the readers' enjoyment of the movie experience by drawing them further into its imagined world. |
| maths at light speed: The Trachtenberg Speed System of Basic Mathematics Jakow Trachtenberg, 2011-03-01 Do high-speed, complicated arithmetic in your head using the Trachtenberg Speed System. Ever find yourself struggling to check a bill or a payslip? With The Trachtenberg Speed System you can. Described as the 'shorthand of mathematics', the Trachtenberg system only requires the ability to count from one to eleven. Using a series of simplified keys it allows anyone to master calculations, giving greater speed, ease in handling numbers and increased accuracy. Jakow Trachtenberg believed that everyone is born with phenomenal abilities to calculate. He devised a set of rules that allows every child to make multiplication, division, addition, subtraction and square-root calculations with unerring accuracy and at remarkable speed. It is the perfect way to gain confidence with numbers. |
| maths at light speed: Connections Maths Ajit Kalra, James Stamell, 2005 Designed for the new syllabus, this book will engage and support stud ents of all abilities. Presented in vibrant full colour format with phot ographs and cartoons. Connections Maths will motivate learning and appea l to all students. Each book comes with an interactive CD-ROM with extra learning material. |
| maths at light speed: Light Years Brian Clegg, 2018-02-14 The fully updated 2nd edition of this critically acclaimed book covers the exciting developments in light science of the past five years. Light Years is an engaging survey of everything we know of the universe's most enigmatic phenomenon and the remarkable people who have been captivated by it. |
| maths at light speed: Maths for the Mystified Michael J. de Smith, 2006-01-01 Offers an introduction to many areas of mathematics, physics and modern computing science. This book introduces readers to the history of mathematics, algebra, number theory, finite and infinite series, trigonometry, calculus, statistics and computational mathematics. |
| maths at light speed: Mind-Blowing Maths Lisa Regan, 2019-10-18 Did you know that you can measure the height of buildings with your own shadow? Or that when you shuffle a pack of cards, chances are that no other pack of cards has ever been in that order, ever? This highly accessible, dynamic book is packed with fun, unexpected and awesome ideas about maths. It mixes a fresh, modern illustration style with punchy, eye-opening facts and humorous anecdotes about famous mathematicians and their groundbreaking discoveries. Ideal for children aged 8+. |
| maths at light speed: The Direction of Time Hans Reichenbach, 2012-10-10 Distinguished physicist examines emotive significance of time, time order of mechanics, time direction of thermodynamics and microstatistics, time direction of macrostatistics, time of quantum physics, more. 1971 edition. |
| maths at light speed: 19th Natural Philosophy Alliance Proceedings Greg Volk, 2012-07-14 The Natural Philosophy Alliance (NPA) sponsors regular international conferences for presenting high-quality papers discussing aspects of philosophy in the sciences. Many papers offer challenges to accepted orthodoxy in the sciences, especially in physics. Everything from the micro-physics of quantum mechanics to the macro-physics of cosmology is entertained.Though the main interest of the NPA is in challenging orthodoxy in the sciences, it will also feature papers defending such orthodoxy. Our ultimate propose is to enable participants to articulate their own understanding of the truth. All papers are reviewed by society officers, and sometimes by other members, before presentation in conferences and they are edit, sometimes very significantly prior to publication in the Proceedings of the NPA. |
| maths at light speed: Digital Games and Mathematics Learning Tom Lowrie, Robyn Jorgensen (Zevenbergen), 2015-10-05 Digital games offer enormous potential for learning and engagement in mathematics ideas and processes. This volume offers multidisciplinary perspectives—of educators, cognitive scientists, psychologists and sociologists—on how digital games influence the social activities and mathematical ideas of learners/gamers. Contributing authors identify opportunities for broadening current understandings of how mathematical ideas are fostered (and embedded) within digital game environments. In particular, the volume advocates for new and different ways of thinking about mathematics in our digital age—proposing that these mathematical ideas and numeracy practices are distinct from new literacies or multiliteracies. The authors acknowledge that the promise of digital games has not always been realised/fulfilled. There is emerging, and considerable, evidence to suggest that traditional discipline boundaries restrict opportunities for mathematical learning. Throughout the book, what constitutes mathematics learnings and pedagogy is contested. Multidisciplinary viewpoints are used to describe and understand the potential of digital games for learning mathematics and identify current tensions within the field. Mathematics learning is defined as being about problem solving; engagement in mathematical ideas and processes; and social engagement. The artefact, which is the game, shapes the ways in which the gamers engage with the social activity of gaming. In parallel, the book (as a te xtual artefact) will be supported by Springer’s online platform—allowing for video and digital communication (including links to relevant websites) to be used as supplementary material and establish a dynamic communication space. |
| maths at light speed: Cosmic Horizons Steven Soter, Neil deGrasse Tyson, 2001 Leading scientists offer a collection of essays that furnish illuminating explanations of recent discoveries in modern astrophysics--from the Big Bang to black holes--the possibility of life on other worlds, and the emerging technologies that make such research possible, accompanied by incisive profiles of such key figures as Carl Sagan and Georges Lemaetre. Original. |
| maths at light speed: General Relativity Without Calculus Jose Natario, 2011-07-30 “General Relativity Without Calculus” offers a compact but mathematically correct introduction to the general theory of relativity, assuming only a basic knowledge of high school mathematics and physics. Targeted at first year undergraduates (and advanced high school students) who wish to learn Einstein’s theory beyond popular science accounts, it covers the basics of special relativity, Minkowski space-time, non-Euclidean geometry, Newtonian gravity, the Schwarzschild solution, black holes and cosmology. The quick-paced style is balanced by over 75 exercises (including full solutions), allowing readers to test and consolidate their understanding. |
| maths at light speed: Fundamentals of Physics I R. Shankar, 2019-08-20 A beloved introductory physics textbook, now including exercises and an answer key, explains the concepts essential for thorough scientific understanding In this concise book, R. Shankar, a well-known physicist and contagiously enthusiastic educator, explains the essential concepts of Newtonian mechanics, special relativity, waves, fluids, thermodynamics, and statistical mechanics. Now in an expanded edition—complete with problem sets and answers for course use or self-study—this work provides an ideal introduction for college-level students of physics, chemistry, and engineering; for AP Physics students; and for general readers interested in advances in the sciences. The book begins at the simplest level, develops the basics, and reinforces fundamentals, ensuring a solid foundation in the principles and methods of physics. |
| maths at light speed: Introduction to the Maths and Physics of the Solar System Lucio Piccirillo, 2020-03-19 This book provides readers with an understanding of the basic physics and mathematics that governs our solar system. It explores the mechanics of our Sun and planets; their orbits, tides, eclipses and many other fascinating phenomena. This book is a valuable resource for undergraduate students studying astronomy and should be used in conjunction with other introductory astronomy textbooks in the field to provide additional learning opportunities. Features: Written in an engaging and approachable manner, with fully explained mathematics and physics concepts Suitable as a companion to all introductory astronomy textbooks Accessible to a general audience |
| maths at light speed: Special & General Relativity (Concise Edition) Albert Einstein, 2024-04-09 Einstein's pioneering work helped shape the cultural landscape of the world today. Now in a digestible, pocket format for the modern reader. A new, popular edition with a clear introduction, Special & General Relativity by Albert Einstein contains his core paper, 'Relativity, The Special & The General Theory: A Popular Exposition', which established his reputation as one of the greatest thinkers of our (and perhaps any) age. Also included are two of the Princeton University lectures he gave to explain his findings in more detail, on 'The Meaning of Relativity', as well as the early paper which led to his famous equation E = mc2. The FLAME TREE Foundations series features core publications which together have shaped the cultural landscape of the modern world, with cutting-edge research distilled into pocket guides designed to be both accessible and informative. |
| maths at light speed: Project Hail Mary Andy Weir, 2021-05-04 #1 NEW YORK TIMES BESTSELLER • From the author of The Martian, a lone astronaut must save the earth from disaster in this “propulsive” (Entertainment Weekly), cinematic thriller full of suspense, humor, and fascinating science—in development as a major motion picture starring Ryan Gosling. HUGO AWARD FINALIST • ONE OF THE YEAR’S BEST BOOKS: Bill Gates, GatesNotes, New York Public Library, Parade, Newsweek, Polygon, Shelf Awareness, She Reads, Kirkus Reviews, Library Journal • “An epic story of redemption, discovery and cool speculative sci-fi.”—USA Today “If you loved The Martian, you’ll go crazy for Weir’s latest.”—The Washington Post Ryland Grace is the sole survivor on a desperate, last-chance mission—and if he fails, humanity and the earth itself will perish. Except that right now, he doesn’t know that. He can’t even remember his own name, let alone the nature of his assignment or how to complete it. All he knows is that he’s been asleep for a very, very long time. And he’s just been awakened to find himself millions of miles from home, with nothing but two corpses for company. His crewmates dead, his memories fuzzily returning, Ryland realizes that an impossible task now confronts him. Hurtling through space on this tiny ship, it’s up to him to puzzle out an impossible scientific mystery—and conquer an extinction-level threat to our species. And with the clock ticking down and the nearest human being light-years away, he’s got to do it all alone. Or does he? An irresistible interstellar adventure as only Andy Weir could deliver, Project Hail Mary is a tale of discovery, speculation, and survival to rival The Martian—while taking us to places it never dreamed of going. |
| maths at light speed: Street-Fighting Mathematics Sanjoy Mahajan, 2010-03-05 An antidote to mathematical rigor mortis, teaching how to guess answers without needing a proof or an exact calculation. In problem solving, as in street fighting, rules are for fools: do whatever works—don't just stand there! Yet we often fear an unjustified leap even though it may land us on a correct result. Traditional mathematics teaching is largely about solving exactly stated problems exactly, yet life often hands us partly defined problems needing only moderately accurate solutions. This engaging book is an antidote to the rigor mortis brought on by too much mathematical rigor, teaching us how to guess answers without needing a proof or an exact calculation. In Street-Fighting Mathematics, Sanjoy Mahajan builds, sharpens, and demonstrates tools for educated guessing and down-and-dirty, opportunistic problem solving across diverse fields of knowledge—from mathematics to management. Mahajan describes six tools: dimensional analysis, easy cases, lumping, picture proofs, successive approximation, and reasoning by analogy. Illustrating each tool with numerous examples, he carefully separates the tool—the general principle—from the particular application so that the reader can most easily grasp the tool itself to use on problems of particular interest. Street-Fighting Mathematics grew out of a short course taught by the author at MIT for students ranging from first-year undergraduates to graduate students ready for careers in physics, mathematics, management, electrical engineering, computer science, and biology. They benefited from an approach that avoided rigor and taught them how to use mathematics to solve real problems. Street-Fighting Mathematics will appear in print and online under a Creative Commons Noncommercial Share Alike license. |
| maths at light speed: Math Insights Siew Hoon Lim, Peck Hoon Teo, Yet Sum Yang, Michael Quinn, 2007 |
| maths at light speed: Equivalence: A Quantum Revolution Mark Dalliston, 2019-06-19 This is a work of science fiction more like ?2001: A Space Odyssey?, than ?Star Wars.? The ideas for this work came from the theories of relativity, quantum physics, and equivalence. It is a story of fictional theoretical physics. I initially thought that Equivalence would be the basis for another revolution of science. My change of mind was prompted by encountering a new theory that led to the general acceptance of parallel universes. Naturally, my take on this theory was different, and led me down an unexpected path. |
| maths at light speed: Relativity Visualized , 1985 Perfect for those interested in physics but who are not physicists or mathematicians, this book makes relativity so simple that a child can understand it. By replacing equations with diagrams, the book allows non-specialist readers to fully understand the concepts in relativity without the slow, painful progress so often associated with a complicated scientific subject. It allows readers not only to know how relativity works, but also to intuitively understand it. |
| maths at light speed: A Student's Guide to the Mathematics of Astronomy Daniel Fleisch, Julia Kregenow, 2013-08-29 Plain-language explanations and a rich set of supporting material help students understand the mathematical concepts and techniques of astronomy. |
| maths at light speed: The Math of Life and Death Kit Yates, 2021-04-27 Few of us really appreciate the full power of math--the extent to which its influence is not only in every office and every home, but also in every courtroom and hospital ward. In this ... book, Kit Yates explores the true stories of life-changing events in which the application--or misapplication--of mathematics has played a critical role: patients crippled by faulty genes and entrepreneurs bankrupted by faulty algorithms; innocent victims of miscarriages of justice; and the unwitting victims of software glitches--Publisher marketing. |
| maths at light speed: Mystery Math David A. Adler, 2012-05-14 Boo! There is a mystery behind every door of the creepy haunted house. Luckily, algebra will help you solve each problem. By using simple addition, subtraction, mulitplication, and division, you'll discover that solving math mysteries isn't scary at all -- it's fun! |
| maths at light speed: Mathematics Linda Bostock, Suzanne Chandler, 1984 Dealing with mechanics and the solving of mechanical problems with the help of pure mathematics, this A-Level text introduces at an early stage an appreciation of the properties of vectors. Throughout the book problems are solved using vector methods where appropriate, and many worked examples are provided to illustrate each main development of a topic. A set of straightforward problems follows each section, and a selection of more challenging questions appears in the miscellaneous exercises at the end of most chapters, with multiple-choice questions on most topics. |
| maths at light speed: What If? Randall Munroe, 2014 From the creator of the wildly popular webcomic xkcd, hilarious and informative answers to important questions you probably never thought to ask Millions of people visit xkcd.com each week to read Randall Munroe's iconic webcomic. His stick-figure drawings about science, technology, language, and love have an enormous, dedicated following, as do his deeply researched answers to his fans' strangest questions. The queries he receives range from merely odd to downright diabolical: - What if I took a swim in a spent-nuclear-fuel pool? - Could you build a jetpack using downward-firing machine guns? - What if a Richter 15 earthquake hit New York City? - Are fire tornadoes possible? His responses are masterpieces of clarity and wit, gleefully and accurately explaining everything from the relativistic effects of a baseball pitched at near the speed of light to the many horrible ways you could die while building a periodic table out of all the actual elements. The book features new and never-before-answered questions, along with the most popular answers from the xkcd website. What If? is an informative feast for xkcd fans and anyone who loves to ponder the hypothetical. |
| maths at light speed: Wonders Beyond Numbers Johnny Ball, 2017-10-05 In this book, Johnny Ball tells one of the most important stories in world history – the story of mathematics. By introducing us to the major characters and leading us through many historical twists and turns, Johnny slowly unravels the tale of how humanity built up a knowledge and understanding of shapes, numbers and patterns from ancient times, a story that leads directly to the technological wonderland we live in today. As Galileo said, 'Everything in the universe is written in the language of mathematics', and Wonders Beyond Numbers is your guide to this language. Mathematics is only one part of this rich and varied tale; we meet many fascinating personalities along the way, such as a mathematician who everyone has heard of but who may not have existed; a Greek philosopher who made so many mistakes that many wanted his books destroyed; a mathematical artist who built the largest masonry dome on earth, which builders had previously declared impossible; a world-renowned painter who discovered mathematics and decided he could no longer stand the sight of a brush; and a philosopher who lost his head, but only after he had died. Enriched with tales of colourful personalities and remarkable discoveries, this book also has plenty of mathematics for keen readers to get stuck into. Written in Johnny Ball's characteristically light-hearted and engaging style, it is packed with historical insight and mathematical marvels; join Johnny and uncover the wonders found beyond the numbers. |
| maths at light speed: The Forever War Joe Haldeman, 2009-02-17 Private William Mandella hadn't wanted to go to war against the Taurans ....--p. [4] of cover. |
| maths at light speed: Index to Mathematical Problems, 1975-1979 Stanley Rabinowitz, Mark Bowron, 1999 |
| maths at light speed: Using Stories to Teach Maths Ages 9 to 11 Steve Way, Simon Hickton, 2013-02-27 Make the teaching of Maths a more exciting and creative cross-curricular experience! This new series provides original and fun stories, sketches and poems to use as the basis for teaching objectives from the Mathematics Programme of Study. The stories are supported by differentiated lesson plans and original resources such as card games and suggestions for kinaesthetic activities. Ages 9-11 stories include: Sneaky Circles, Hank Bullman rides into Certain City, Space Chase, Mediaevel Mode, Metric Measures Poem, Ratio Poem. The stories have been road-tested in schools and the children thoroughly enjoyed them! |
| maths at light speed: The Geometry of Spacetime James J. Callahan, 2013-03-09 Hermann Minkowski recast special relativity as essentially a new geometric structure for spacetime. This book looks at the ideas of both Einstein and Minkowski, and then introduces the theory of frames, surfaces and intrinsic geometry, developing the main implications of Einstein's general relativity theory. |
| maths at light speed: Our Mathematical Universe Max Tegmark, 2015-02-03 Max Tegmark leads us on an astonishing journey through past, present and future, and through the physics, astronomy and mathematics that are the foundation of his work, most particularly his hypothesis that our physical reality is a mathematical structure and his theory of the ultimate multiverse. In a dazzling combination of both popular and groundbreaking science, he not only helps us grasp his often mind-boggling theories, but he also shares with us some of the often surprising triumphs and disappointments that have shaped his life as a scientist. Fascinating from first to last—this is a book that has already prompted the attention and admiration of some of the most prominent scientists and mathematicians. |
| maths at light speed: Mathematics and Computation Avi Wigderson, 2019-10-29 From the winner of the Turing Award and the Abel Prize, an introduction to computational complexity theory, its connections and interactions with mathematics, and its central role in the natural and social sciences, technology, and philosophy Mathematics and Computation provides a broad, conceptual overview of computational complexity theory—the mathematical study of efficient computation. With important practical applications to computer science and industry, computational complexity theory has evolved into a highly interdisciplinary field, with strong links to most mathematical areas and to a growing number of scientific endeavors. Avi Wigderson takes a sweeping survey of complexity theory, emphasizing the field’s insights and challenges. He explains the ideas and motivations leading to key models, notions, and results. In particular, he looks at algorithms and complexity, computations and proofs, randomness and interaction, quantum and arithmetic computation, and cryptography and learning, all as parts of a cohesive whole with numerous cross-influences. Wigderson illustrates the immense breadth of the field, its beauty and richness, and its diverse and growing interactions with other areas of mathematics. He ends with a comprehensive look at the theory of computation, its methodology and aspirations, and the unique and fundamental ways in which it has shaped and will further shape science, technology, and society. For further reading, an extensive bibliography is provided for all topics covered. Mathematics and Computation is useful for undergraduate and graduate students in mathematics, computer science, and related fields, as well as researchers and teachers in these fields. Many parts require little background, and serve as an invitation to newcomers seeking an introduction to the theory of computation. Comprehensive coverage of computational complexity theory, and beyond High-level, intuitive exposition, which brings conceptual clarity to this central and dynamic scientific discipline Historical accounts of the evolution and motivations of central concepts and models A broad view of the theory of computation's influence on science, technology, and society Extensive bibliography |
| maths at light speed: Infinity Ian Stewart, 2017 Ian Stewart considers the concept of infinity and the profound role it plays in mathematics, logic, physics, cosmology, and philosophy. He shows that working with infinity is not just an abstract, intellectual exercise, and analyses its important practical everyday applications. |
| maths at light speed: Vedic Mathematics for Schools James T. Glover, 2001 Vedic Mathematics for Schools, Book 2 is intended as a first year textbook for senior schools or for children aiming for examination at 11+. It is based on the fundamental principles of Vedic mathematics which were reconstructed earlier this century by Sri Sankaracarya Bharati Krsna Tirthaji. Although the sutras may well be very ancient, practice and experience have shown that they are highly relevant and useful to the modern-day teaching of mathematics. They are entirely applicable to modern problems and even to modern approaches to mathematics. Topics covered include the four rules of number, fractions and decimals, simplifying and solving in algebra, perimeters and areas, ratio and proportion, percentages, averages, graphs, angles and basic geometrical constructions. The book contains step-by-step worked examples with explanatory notes together with over two hundred practice exercises. The material in this book is currently used at schools around the world assocaited with the Education Renaissance Trust. |
| maths at light speed: Interstellar Tours Brian Clegg, 2023-09-21 'Strap in and enjoy the ride!' JOHN GRIBBIN 'A window seat on a flight to our galaxy's sites of outstanding beauty' MARCUS CHOWN, AUTHOR OF THE ONE THING YOU NEED TO KNOW 'A refreshing new look at our own corner of space' HENRY GEE, WINNER OF THE 2022 ROYAL SOCIETY TRIVEDI SCIENCE BOOK PRIZE 'Buckle up for the ride of a lifetime' PHILIP BALL, AUTHOR OF THE BOOK OF MINDS AND BEYOND WEIRD Take a voyage into space to explore the wonders of the galaxy and beyond. With award-winning science writer Brian Clegg as your deep space guide, step on board the starship Endurance and marvel at the fascinating sights of deepest, darkest space. Although our vessel is fictional, the phenomena you will visit, from the vast nebulae that are birthplaces of stars to stellar explosions in vast supernovas, creating the elements necessary for life - or from the planets of other solar systems to the unbelievably supermassive black hole at the heart of the Milky Way - all reflect the best picture current science has to offer. Accompanying Interstellar Tours is an online gallery with over fifty images and videos in full colour, each directly accessible from the page using QR codes. It may never be possible to undertake a voyage through the stars for real. But with Interstellar Tours, you can enjoy the ultimate cruise across the Milky Way. |
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Khan Academy offers free, world-class math education for anyone, anywhere.
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Learn for free about math, art, computer programming, economics, physics, chemistry, biology, medicine, finance, history, and more. Khan Academy is a nonprofit with the mission of …
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This Arithmetic course is a refresher of place value and operations (addition, subtraction, division, multiplication, and exponents) for whole numbers, fractions, decimals, and integers. If you are …
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Old version of our Class 8 course (may include outdated content).
4th grade math - Khan Academy
Learn fourth grade math—arithmetic, measurement, geometry, fractions, and more. This course is aligned with Common Core standards.
