Matematikens historia
3 468 produkter
3 468 produkter
281 kr
Skickas
Matematiken är en av de mest gåtfulla och givande källorna till filosofiska problem. Tillsammans har disciplinerna format vår förståelse av slump, logik och utformande av omröstningar, samarbeten och samhällskontrakt. Det står samtidigt helt klart att matematiken inte är en empirisk vetenskap, så varför fungerar den så praktiskt?
Tankens geometri låter matematikens och filosofins namnkunnigaste företrädare attrahera och repellera varandra genom tid och rum: Hur utvecklades den moderna statistiken parallellt med kunskapsteorin? Hur hör spelteori ihop med moralfilosofi? Hur fick matematiken sin egen skrift?
Karl Sigmunds bok är en exposé över det mänskliga förnuftets förmåga att röra sig mellan matematiska tal och mening.
231 kr
Skickas
"Det är något så sällsamt som en spränglärd bok som inte nödvändigtvis vill lära oss något, utan som låter reflektioner över tillvarons beskaffenhet vara ett självändamål. Läs den!"Svenska Dagbladet
"Det är poetiskt och vackert på ett sätt som få kanske trodde att matematik kunde vara."BTJ"Bättre blir det när Ravanis, som har en lätt och ledig stil, lämnar kategorierna och prövar att skriva skönlitterärt. "Göteborgs Posten
"Ravanis presenterar teoremet på ett djupare och mer nyanserat sätt, där hennes pedagogiska och tillgängliga språk ger läsaren en fullständig och klar förståelse"Kultmagasin
”Det är en rik, underbar bok, fylld av mänsklig värme i ett svalnande universum.”Göran Greider, Aftonbladet om Skönheten i Kaos.
Emmy Noether var en av 1900-talets mest framstående matematiker. Hennes viktigaste teorem bidrog till att vända på en världsbild som varit sann ända sedan Newtons dagar. Idag är hon i stort sett bortglömd. Det här är en bok om hennes liv, hennes arv och drömmen om ett liv bortom kroppens begränsningar.Som judisk kvinna född i Tyskland 1882 blev Emmy Noether gång på gång utestängd från matematikens viktigaste rum. Hon, som bara förväntades ägna sig åt värdsliga ting, vigde trots detta sitt liv åt matematisk abstraktion. Medan hon kämpade för att få ta plats på universitetet i Göttingen, arbetade hon frenetiskt på det teorem som förklarar vad det innebär att inte vara förankrad i någon plats eller någon tid alls. Kanske hänger alltihop samman?Vetenskapshistorikern och fysikern Julia Ravanis söker i Emmys teorem efter det som formar våra idéer och gör oss till de vi är. Själva teoremet vägleder berättelsen om vad som ger oss energi att ta oss någonstans, hur vi väljer riktning och håller balansen i tillvaron. Om platserna och tiderna som vi nog aldrig helt kan frigöra oss från.
"Julia Ravanis tecknar Noethers gärning med ett språk som gnistrar av skärpa."Svenska Dagbladet
421 kr
Skickas inom 5-8 vardagar
394 kr
Skickas inom 5-8 vardagar
285 kr
Skickas inom 5-8 vardagar
421 kr
Skickas inom 5-8 vardagar
299 kr
Skickas inom 5-8 vardagar
89 kr
Tillfälligt slut
Som kvinnor och afroamerikaner hade de alla odds emot sig. Det här är den otroliga och sanna historien om fyra matematiker på NASA som möjliggjorde de amerikanska framgångarna i rymdkapplöpningen mot Sovjetunionen. Dorothy Vaughan, Mary Jackson, Katherine Johnson och Christine Darden utförde avancerade matematiska uträkningar enbart med hjälp av räknesticka, papper och penna under en tid då man ännu inte hade några elektroniska datorer. I Dolda tillgångar får vi följa dem under tre decennier då de inte bara förändrade sina egna liv, utan också USA:s framtid enbart med hjälp av sina intellekt. MARGOT LEE SHETTERLY växte upp i Hampton i den amerikanska delstaten Virginia, där hon lärde känna flera av de kvinnor som boken berättar om.
217 kr
Tillfälligt slut
Vad finns kvar om man tar bort matematiken ur det som kallas matematisk statistik? Ingenting? Jodå, det finns kvar något intressant, en information om argumentativa möjligheter, om logik och kunskapsteori av ett slag som försummats inom filosofin. Det gäller en insikt som utvecklats under århundraden i anknytning till olika praktiska verksamheter. Penningsugna spelare, astronomer, samhällsintresserade, försäkringsfolk, tidiga experimen-talpsykologer och ekonomer, ärftlighets- och jordbruksforskare har kommit med bidrag, som varit betydelsefulla men inte alltid mottagits med gillande av samtiden. En prästman och en filosofisk outsider hör till nyckelpersonerna. Djärva snillen har lämnat allfartsvägen; med fantasi och skarpsinne har de byggt upp en vetenskap av nytt och oväntat slag. Naturligtvis är det fråga om ett stort intellektuellt äventyr.
169 kr
Skickas inom 5-8 vardagar
En liten räknebok skriven av Christopher Polhem trycktes år 1716. Han kallade den Wishetens andra grundwahl. I boken fanns 57 läxor som handlade om tal, geometri och algebra. Polhems pedagogiska tanke var att ungdomen skulle lära sig en läxa utantill varje dag för att senare som vuxna kunna få både nytta och nöje av sina kunskaper. Wishetens andra grundwahl är nu utgiven på nytt i Polhems lilla räknebok. Matematikhistorikern Staffan Rodhe har lagt kommentarer och problem till bokens läxor så att det blir lättare att förstå Polhems sätt att räkna. Polhems lilla räknebok handlar också om Polhems liv, hans uppfinningar och hans intresse för matematik. En del i denna historia berättar om hur Emanuel Swedenborg såg till att Wishetens andra grundwahl till slut blev en tryckt bok. Polhems lilla räknebok är en bok för de flesta, som gillar att lösa problem och vill lära sig mer om gamla matematiska metoder och måttenheter. Ser du förresten att det är en text om algebra på bokens framsida? Den kan du läsa mer om i Polhems lilla räknebok. Välkommen att träda in i 1700-talets matematiska värld och låt Polhem vara din lärare!
749 kr
Skickas inom 10-15 vardagar
From the reviews of the second edition:"This book covers many interesting topics not usually covered in a present day undergraduate course, as well as certain basic topics such as the development of the calculus and the solution of polynomial equations.
210 kr
Skickas inom 7-10 vardagar
A New York Times Science BestsellerWhat if you had to take an art class in which you were only taught how to paint a fence? What if you were never shown the paintings of van Gogh and Picasso, weren't even told they existed? Alas, this is how math is taught, and so for most of us it becomes the intellectual equivalent of watching paint dry.In Love and Math , renowned mathematician Edward Frenkel reveals a side of math we've never seen, suffused with all the beauty and elegance of a work of art. In this heartfelt and passionate book, Frenkel shows that mathematics, far from occupying a specialist niche, goes to the heart of all matter, uniting us across cultures, time, and space. Love and Math tells two intertwined stories: of the wonders of mathematics and of one young man's journey learning and living it. Having braved a discriminatory educational system to become one of the twenty-first century's leading mathematicians, Frenkel now works on one of the biggest ideas to come out of math in the last 50 years: the Langlands Program.Considered by many to be a Grand Unified Theory of mathematics, the Langlands Program enables researchers to translate findings from one field to another so that they can solve problems, such as Fermat's last theorem, that had seemed intractable before.At its core, Love and Math is a story about accessing a new way of thinking, which can enrich our lives and empower us to better understand the world and our place in it. It is an invitation to discover the magic hidden universe of mathematics.
Search for Mathematical Roots, 1870-1940
Logics, Set Theories and the Foundations of Mathematics from Cantor through Russell to Gödel
Häftad, Engelska, 2000
1 261 kr
Skickas inom 7-10 vardagar
While many books have been written about Bertrand Russell's philosophy and some on his logic, I. Grattan-Guinness has written the first comprehensive history of the mathematical background, content, and impact of the mathematical logic and philosophy of mathematics that Russell developed with A. N. Whitehead in their Principia mathematica (1910-1913). This definitive history of a critical period in mathematics includes detailed accounts of the two principal influences upon Russell around 1900: the set theory of Cantor and the mathematical logic of Peano and his followers. Substantial surveys are provided of many related topics and figures of the late nineteenth century: the foundations of mathematical analysis under Weierstrass; the creation of algebraic logic by De Morgan, Boole, Peirce, Schroder, and Jevons; the contributions of Dedekind and Frege; the phenomenology of Husserl; and the proof theory of Hilbert. The many-sided story of the reception is recorded up to 1940, including the rise of logic in Poland and the impact on Vienna Circle philosophers Carnap and Godel. A strong American theme runs though the story, beginning with the mathematician E. H.Moore and the philosopher Josiah Royce, and stretching through the emergence of Church and Quine, and the 1930s immigration of Carnap and GodeI. Grattan-Guinness draws on around fifty manuscript collections, including the Russell Archives, as well as many original reviews. The bibliography comprises around 1,900 items, bringing to light a wealth of primary materials. Written for mathematicians, logicians, historians, and philosophers--especially those interested in the historical interaction between these disciplines--this authoritative account tells an important story from its most neglected point of view. Whitehead and Russell hoped to show that (much of) mathematics was expressible within their logic; they failed in various ways, but no definitive alternative position emerged then or since.
678 kr
Skickas inom 7-10 vardagar
In this 2013 winner of the prestigious R.R. Hawkins Award from the Association of American Publishers, as well as the 2013 PROSE Awards for Mathematics and Best in Physical Sciences & Mathematics, also from the AAP, readers will find many of the most significant contributions from the four-volume set of the Collected Works of A. M. Turing. These contributions, together with commentaries from current experts in a wide spectrum of fields and backgrounds, provide insight on the significance and contemporary impact of Alan Turing's work.
Offering a more modern perspective than anything currently available, Alan Turing: His Work and Impact gives wide coverage of the many ways in which Turing's scientific endeavors have impacted current research and understanding of the world. His pivotal writings on subjects including computing, artificial intelligence, cryptography, morphogenesis, and more display continued relevance and insight into today's scientific and technological landscape. This collection provides a great service to researchers, but is also an approachable entry point for readers with limited training in the science, but an urge to learn more about the details of Turing's work.
2013 winner of the prestigious R.R. Hawkins Award from the Association of American Publishers, as well as the 2013 PROSE Awards for Mathematics and Best in Physical Sciences & Mathematics, also from the AAP Named a 2013 Notable Computer Book in Computing Milieux by Computing Reviews Affordable, key collection of the most significant papers by A.M. Turing Commentary explaining the significance of each seminal paper by preeminent leaders in the field Additional resources available online
286 kr
Skickas inom 10-15 vardagar
Paul Lockhart’s Mathematician’s Lament outlined how we introduce math to students in the wrong way. Measurement explains how math should be done. With plain English and pictures, Lockhart makes complex ideas about shape and motion intuitive and graspable, and offers a solution to math phobia by introducing us to math as an artful way of thinking and living.In conversational prose that conveys his passion for the subject, Lockhart makes mathematics accessible without oversimplifying. He makes no more attempt to hide the challenge of mathematics than he does to shield us from its beautiful intensity. Favoring plain English and pictures over jargon and formulas, he succeeds in making complex ideas about the mathematics of shape and motion intuitive and graspable. His elegant discussion of mathematical reasoning and themes in classical geometry offers proof of his conviction that mathematics illuminates art as much as science.Lockhart leads us into a universe where beautiful designs and patterns float through our minds and do surprising, miraculous things. As we turn our thoughts to symmetry, circles, cylinders, and cones, we begin to see that almost anyone can “do the math” in a way that brings emotional and aesthetic rewards. Measurement is an invitation to summon curiosity, courage, and creativity in order to experience firsthand the playful excitement of mathematical work.
141 kr
Skickas
**The First Ever Maths Book to be a No.1 Bestseller**'Wonderful ... superb' Daily MailWhat makes a bridge wobble when it's not meant to? Billions of dollars mysteriously vanish into thin air? A building rock when its resonant frequency matches a gym class leaping to Snap's 1990 hit I've Got The Power? The answer is maths. Or, to be precise, what happens when maths goes wrong in the real world.As Matt Parker shows us, our modern lives are built on maths: computer programmes, finance, engineering. And most of the time this maths works quietly behind the scenes, until ... it doesn't. Exploring and explaining a litany of glitches, near-misses and mishaps involving the internet, big data, elections, street signs, lotteries, the Roman empire and a hapless Olympic shooting team, Matt Parker shows us the bizarre ways maths trips us up, and what this reveals about its essential place in our world.Mathematics doesn't have good 'people skills', but we would all be better off, he argues, if we saw it as a practical ally. This book shows how, by making maths our friend, we can learn from its pitfalls. It also contains puzzles, challenges, geometric socks, jokes about binary code and three deliberate mistakes. Getting it wrong has never been more fun.
382 kr
Skickas inom 10-15 vardagar
Learn about the boy who - could read and add numbers when he was three years old, - thwarted his teacher by finding a quick and easy way to sum the numbers 1-100, - attracted the attention of a Duke with his genius, and became the man who... - predicted the reappearance of a lost planet, - discovered basic properties of magnetic forces, - invented a surveying tool used by professionals until the invention of lasers. Based on extensive research of original and secondary sources, this historical narrative will inspire young readers and even curious adults with its touching story of personal achievement.
369 kr
Skickas
"In the judgment of the most competent living mathematicians, Fraulein Noether was the most significant creative mathematical genius thus far produced since the higher education of women began."-Albert Einstein The year was 1915, and the young mathematician Emmy Noether had just settled into Gottingen University when Albert Einstein visited to lecture on his nearly finished general theory of relativity. Two leading mathematicians of the day, David Hilbert and Felix Klein, dug into the new theory with gusto, but had difficulty reconciling it with what was known about the conservation of energy. Knowing of her expertise in invariance theory, they requested Noether's help. To solve the problem, she developed a novel theorem, applicable across all of physics, which relates conservation laws to continuous symmetries-one of the most important pieces of mathematical reasoning ever developed. Noether's "first" and "second" theorem was published in 1918. The first theorem relates symmetries under global spacetime transformations to the conservation of energy and momentum, and symmetry under global gauge transformations to charge conservation.In continuum mechanics and field theories, these conservation laws are expressed as equations of continuity. The second theorem, an extension of the first, allows transformations with local gauge invariance, and the equations of continuity acquire the covariant derivative characteristic of coupled matter-field systems. General relativity, it turns out, exhibits local gauge invariance. Noether's theorem also laid the foundation for later generations to apply local gauge invariance to theories of elementary particle interactions. In Dwight E. Neuenschwander's new edition of Emmy Noether's Wonderful Theorem, readers will encounter an updated explanation of Noether's "first" theorem. The discussion of local gauge invariance has been expanded into a detailed presentation of the motivation, proof, and applications of the "second" theorem, including Noether's resolution of concerns about general relativity. Other refinements in the new edition include an enlarged biography of Emmy Noether's life and work, parallels drawn between the present approach and Noether's original 1918 paper, and a summary of the logic behind Noether's theorem.
285 kr
Skickas inom 7-10 vardagar
A foundational work on historical and social studies of quantificationWhat accounts for the prestige of quantitative methods? The usual answer is that quantification is desirable in social investigation as a result of its successes in science. Trust in Numbers questions whether such success in the study of stars, molecules, or cells should be an attractive model for research on human societies, and examines why the natural sciences are highly quantitative in the first place. Theodore Porter argues that a better understanding of the attractions of quantification in business, government, and social research brings a fresh perspective to its role in psychology, physics, and medicine. Quantitative rigor is not inherent in science but arises from political and social pressures, and objectivity derives its impetus from cultural contexts. In a new preface, the author sheds light on the current infatuation with quantitative methods, particularly at the intersection of science and bureaucracy.
The Great Math War
How Three Brilliant Minds Fought for the Foundations of Mathematics
Inbunden, Engelska, 2025
307 kr
Skickas inom 7-10 vardagar
A "fascinating romp" (Johnjoe McFadden) and stirring account of the mathematicians who went looking for the bedrock philosophical foundations of their field and witnessed a house of cards collapse instead As the nineteenth century ended, mathematicians were celebrating a century of triumphs that-surprisingly-made clear how little they knew: What is the nature of infinity? Is math free from self-contradiction? And what does math have to do with reality? This was the Foundational Crisis in mathematics. In The Great Math War, Jason Socrates Bardi tells the story of three competing efforts by mathematicians to resolve it-and the firefight that ensued. Bertrand Russell thought we could achieve certainty if we treated math as an extension of logic. David Hilbert believed redemption lay in accepting mathematics as a formal game of arbitrary rules, no different from the moves and pieces in chess. And L. E. J. Brouwer argued math is entirely rooted in human intuition-and that math is not based on logic but rather logic is based on math. It was a bitter struggle, intellectually and personally, as the three vied to set the course for mathematics in the twentieth century. Set against the backdrop of international warfare unfolding alongside it, The Great Math War brings the Foundational Crisis to radiant life-and shows how it indelibly shaped twentieth-century intellectual life.
158 kr
Skickas inom 7-10 vardagar
A fascinating look into how the transformative joys of mathematical experience are available to everyone, not just specialists Math has a reputation for being inaccessible. People think that it requires a special gift or that comprehension is a matter of genes. Yet the greatest mathematicians throughout history, from René Descartes to Alexander Grothendieck, have insisted that this is not the case. Like Albert Einstein, who famously claimed to have “no special talent,” they said that they had accomplished what they did using ordinary human doubts, weaknesses, curiosity, and imagination. David Bessis guides us on an illuminating path toward deeper mathematical comprehension, reconnecting us with the mental plasticity we experienced as children. With simple, concrete examples, Bessis shows how mathematical comprehension is integral to the great learning milestones of life, such as learning to see, to speak, to walk, and to eat with a spoon. Focusing on the deeply human roots of mathematics, Bessis dispels the myths of mathematical genius. He offers an engaging initiation into the experience of math not as a series of discouragingly incomprehensible logic problems but as a physical activity akin to yoga, meditation, or a martial art. This perspective will change the way you think not only about math but also about intelligence, intuition, and everything that goes on inside your head.
340 kr
Skickas inom 7-10 vardagar
From the Ishango Bone of central Africa and the Inca quipu of South America to the dawn of modern mathematics, The Crest of the Peacock makes it clear that human beings everywhere have been capable of advanced and innovative mathematical thinking. George Gheverghese Joseph takes us on a breathtaking multicultural tour of the roots and shoots of non-European mathematics. He shows us the deep influence that the Egyptians and Babylonians had on the Greeks, the Arabs' major creative contributions, and the astounding range of successes of the great civilizations of India and China. The third edition emphasizes the dialogue between civilizations, and further explores how mathematical ideas were transmitted from East to West. The book's scope is now even wider, incorporating recent findings on the history of mathematics in China, India, and early Islamic civilizations as well as Egypt and Mesopotamia. With more detailed coverage of proto-mathematics and the origins of trigonometry and infinity in the East, The Crest of the Peacock further illuminates the global history of mathematics.
245 kr
Skickas inom 7-10 vardagar
Elliptic Tales describes the latest developments in number theory by looking at one of the most exciting unsolved problems in contemporary mathematics--the Birch and Swinnerton-Dyer Conjecture. In this book, Avner Ash and Robert Gross guide readers through the mathematics they need to understand this captivating problem. The key to the conjecture lies in elliptic curves, which may appear simple, but arise from some very deep--and often very mystifying--mathematical ideas. Using only basic algebra and calculus while presenting numerous eye-opening examples, Ash and Gross make these ideas accessible to general readers, and, in the process, venture to the very frontiers of modern mathematics.
148 kr
Skickas inom 7-10 vardagar
A fascinating exploration of how cartography shapes our world and the impact of maps on our everyday lives.‘If you have ever wondered why an airliner bound from London to Los Angeles flies over Greenland, how we know what lies inside the Earth, or how computers correct errors, then this book is for you’ – John Gribbin, author of In Search of Schrodinger's Cat'An expansive journey through time and place' – The Observer'Entertaining, illuminating . . . An engaging look at a fascinating subject' – New ScientistHow does a delivery driver distribute hundreds of packages in a single day?Why can maps influence elections?Where should we look for serial killers?The answers lie in the connection between maps and maths.Mathematician Dr Paulina Rowinska explores the mathematical foundations of maps and cartography's impact on mathematics. From sixteenth-century maps which we still use on our phones to public transport maps that both guide and mislead, she uncovers how maps and maths shape our sense of space and time, and our worldview.Through engaging stories, unforgettable characters and real-world examples, Mapmatics reveals the mathematical techniques behind maps and how they help us better understand - and care for - the world around us.
The Man Who Loved Only Numbers
The Story of Paul Erdos and the Search for Mathematical Truth
Inbunden, Engelska, 1998, 12-15 år
262 kr
Skickas inom 5-8 vardagar
Paul Erdos was an amazing and prolific mathematician whose life as a world-wandering numerical nomad was legendary. He published almost 1500 scholarly papers before his death in 1996, and he probably thought more about math problems than anyone in history. Like a traveling salesman offering his thoughts as wares, Erdos would show up on the doorstep of one mathematician or another and announce, "My brain is open." After working through a problem, he'd move on to the next place, the next solution. Hoffman's book, like Sylvia Nasar's biography of John Nash, A Beautiful Mind, reveals a genius's life that transcended the merely quirky. But Erdos's brand of madness was joyful, unlike Nash's despairing schizophrenia. Erdos never tried to dilute his obsessive passion for numbers with ordinary emotional interactions, thus avoiding hurting the people around him, as Nash did. Oliver Sacks writes of Erdos: "A mathematical genius of the first order, Paul Erdos was totally obsessed with his subject--he thought and wrote mathematics for nineteen hours a day until the day he died. He traveled constantly, living out of a plastic bag, and had no interest in food, sex, companionship, art--all that is usually indispensable to a human life."The Man Who Loved Only Numbers is easy to love, despite his strangeness. It's hard not to have affection for someone who referred to children as "epsilons," from the Greek letter used to represent small quantities in mathematics; a man whose epitaph for himself read, "Finally I am becoming stupider no more"; and whose only really necessary tool to do his work was a quiet and open mind. Hoffman, who followed and spoke with Erdos over the last 10 years of his life, introduces us to an undeniably odd, yet pure and joyful, man who loved numbers more than he loved God--whom he referred to as SF, for Supreme Fascist. He was often misunderstood, and he certainly annoyed people sometimes, but Paul Erdos is no doubt missed. --Therese Littleton
229 kr
Skickas inom 7-10 vardagar
A celebration of the seemingly simple idea that allowed us to imagine the world in new dimensions—sparking both controversy and discovery. The stars of this book, vectors and tensors, are unlikely celebrities. If you ever took a physics course, the word “vector” might remind you of the mathematics needed to determine forces on an amusement park ride, a turbine, or a projectile. You might also remember that a vector is a quantity that has magnitude and (this is the key) direction. In fact, vectors are examples of tensors, which can represent even more data. It sounds simple enough—and yet, as award-winning science writer Robyn Arianrhod shows in this riveting story, the idea of a single symbol expressing more than one thing at once was millennia in the making. And without that idea, we wouldn’t have such a deep understanding of our world.Vector and tensor calculus offers an elegant language for expressing the way things behave in space and time, and Arianrhod shows how this enabled physicists and mathematicians to think in a brand-new way. These include James Clerk Maxwell when he ushered in the wireless electromagnetic age; Einstein when he predicted the curving of space-time and the existence of gravitational waves; Paul Dirac, when he created quantum field theory; and Emmy Noether, when she connected mathematical symmetry and the conservation of energy. For it turned out that it’s not just physical quantities and dimensions that vectors and tensors can represent, but other dimensions and other kinds of information, too. This is why physicists and mathematicians can speak of four-dimensional space-time and other higher-dimensional “spaces,” and why you’re likely relying on vectors or tensors whenever you use digital applications such as search engines, GPS, or your mobile phone.In exploring the evolution of vectors and tensors—and introducing the fascinating people who gave them to us—Arianrhod takes readers on an extraordinary, five-thousand-year journey through the human imagination. She shows the genius required to reimagine the world—and how a clever mathematical construct can dramatically change discovery’s direction.
221 kr
Skickas inom 7-10 vardagar
What gives statistics its unity as a science? Stephen Stigler sets forth the seven foundational ideas of statistics—a scientific discipline related to but distinct from mathematics and computer science.Even the most basic idea—aggregation, exemplified by averaging—is counterintuitive. It allows one to gain information by discarding information, namely, the individuality of the observations. Stigler’s second pillar, information measurement, challenges the importance of “big data” by noting that observations are not all equally important: the amount of information in a data set is often proportional to only the square root of the number of observations, not the absolute number. The third idea is likelihood, the calibration of inferences with the use of probability. Intercomparison is the principle that statistical comparisons do not need to be made with respect to an external standard. The fifth pillar is regression, both a paradox (tall parents on average produce shorter children; tall children on average have shorter parents) and the basis of inference, including Bayesian inference and causal reasoning. The sixth concept captures the importance of experimental design—for example, by recognizing the gains to be had from a combinatorial approach with rigorous randomization. The seventh idea is the residual: the notion that a complicated phenomenon can be simplified by subtracting the effect of known causes, leaving a residual phenomenon that can be explained more easily.The Seven Pillars of Statistical Wisdom presents an original, unified account of statistical science that will fascinate the interested layperson and engage the professional statistician.
221 kr
Skickas
'An invaluable companion for anyone who wants a deep understanding of what’s under the hood of often inscrutable machines' Melanie Mitchell A rich, narrative explanation of the mathematics that has brought us machine learning and the ongoing explosion of artificial intelligenceMachine-learning systems are making life-altering decisions for us: approving mortgage loans, determining whether a tumour is cancerous, or deciding whether someone gets bail. They now influence discoveries in chemistry, biology and physics - the study of genomes, extra-solar planets, even the intricacies of quantum systems.We are living through a revolution in artificial intelligence that is not slowing down. This major shift is based on simple mathematics, some of which goes back centuries: linear algebra and calculus, the stuff of eighteenth-century mathematics. Indeed by the mid-1850s, a lot of the groundwork was all done. It took the development of computer science and the kindling of 1990s computer chips designed for video games to ignite the explosion of AI that we see all around us today. In this enlightening book, Anil Ananthaswamy explains the fundamental maths behind AI, which suggests that the basics of natural and artificial intelligence might follow the same mathematical rules.As Ananthaswamy resonantly concludes, to make the most of our most wondrous technologies we need to understand their profound limitations - the clues lie in the maths that makes AI possible.
233 kr
Skickas inom 7-10 vardagar
This Element aims to present an outline of mathematics and its history, with particular emphasis on events that shook up its philosophy. It ranges from the discovery of irrational numbers in ancient Greece to the nineteenth- and twentieth-century discoveries on the nature of infinity and proof. Recurring themes are intuition and logic, meaning and existence, and the discrete and the continuous. These themes have evolved under the influence of new mathematical discoveries and the story of their evolution is, to a large extent, the story of philosophy of mathematics.