Ergebnis für "Introduction" in Mathematik

The aim of this book is to explain, carefully but not technically, the differences between advanced, research-level mathematics and the sort of mathematics we learn at school. The most fundamental differences are philosophical, and listeners of this book will emerge with a clearer understanding of paradoxical-sounding concepts such as infinity, curved space, and imaginary numbers. The first few chapters are about general aspects of mathematical thought.

Games are everywhere: Drivers maneuvering in heavy traffic are playing a driving game. Bargain hunters bidding on eBay are playing an auctioning game. The supermarket's price for corn flakes is decided by playing an economic game. This Very Short Introduction offers a succinct tour of the fascinating world of game theory, a groundbreaking field that analyzes how to play games in a rational way.

Logic is often perceived as having little to do with the rest of philosophy, and even less to do with real life. In this lively and accessible introduction, Graham Priest shows how wrong this conception is. He explores the philosophical roots of the subject, explaining how modern formal logic deals with issues ranging from the existence of God and the reality of time to paradoxes of probability and decision theory. Along the way, the basics of formal logic are explained in simple, non-technical terms, showing that logic is a powerful and exciting part of modern philosophy.

Behind the familiar surfaces of the telephone, radio, and television lies a sophisticated and intriguing body of knowledge known as information theory. This is the theory that has permitted the rapid development of all sorts of communication, from color television to the clear transmission of photographs from the vicinity of Jupiter. Even more revolutionary progress is expected in the future.

Numbers are integral to our everyday lives and factor into almost everything we do. In this Very Short Introduction audiobook, Peter M. Higgins, a renowned popular-science writer, unravels the world of numbers, demonstrating its richness and providing an overview of all the number types that feature in modern science and mathematics.

In this Very Short Introduction audiobook, Richard Earl gives a sense of the more visual elements of topology (looking at surfaces) as well as covering the formal definition of continuity. Considering some of the eye-opening examples that led mathematicians to recognize a need for studying topology, he pays homage to the historical people, problems, and surprises that have propelled the growth of this field.

Number theory is the branch of mathematics that is primarily concerned with the counting numbers. Of particular importance are the prime numbers, the "building blocks" of our number system. The subject is an old one, dating back over two millennia to the ancient Greeks, and for many years has been studied for its intrinsic beauty and elegance, not least because several of its challenges are so easy to state that everyone can understand them, and yet no one has ever been able to resolve them. But number theory has also recently become of great practical importance.

If you move at high speed, time slows down, space squashes up, and you get heavier. Travel fast enough and you could weigh as much as a jumbo jet, be flattened thinner than a CD without feeling a thing - and live forever! As for the angles of a triangle, they do not always have to add up to 180 degrees. And then, of course, there are black holes. These are but a few of the extraordinary consequences of Einstein's theory of relativity.

From the contours of coastlines to the outlines of clouds, and the branching of trees, fractal shapes can be found everywhere in nature. In this Very Short Introduction, Kenneth Falconer explains the basic concepts of fractal geometry, which produced a revolution in our mathematical understanding of patterns in the 20th century, and explores the wide range of applications in science, and in aspects of economics.

The study of geometry is at least 2500 years old, and it is within this field that the concept of mathematical proof first arose. To this day geometry remains a very active area of research in mathematics. This Very Short Introduction covers the areas of mathematics falling under geometry, starting with topics such as Euclidean and non-Euclidean geometries, and ranging to curved spaces, projective geometry in Renaissance art, and geometry of space-time inside a black hole. Throughout, Maciej Dunajski outlines the role geometry plays in the broader context of science and art.

Make better decisions with this easy deconstructed guide to data analytics. Want to add data analytics to your skill stack? Having trouble finding where to start? Cell-by-cell, bit-by-bit, this audiobook teaches you the vocabulary, tools, and basic algorithms to think like a data scientist. Like putting together a complex Lego set, each section connects and adds individual blocks of knowledge to build your data literacy. This linear structure to unpacking data analytics takes you from zero to confidently analyzing and discussing data problems.

In the Introduction to Chess Visualization, you'll learn how to memorize chess positions, identify the colours of the different chess squares without looking at the board and been able to play chess not only on the board but also without the chess board you'll be able to visualize it.

René Descartes is one of the formative figures in Western philosophy, logic and mathematics. His famous statement: "I think, therefore I am," has become perhaps the most famous phrase in all of philosophy. Descartes’s ground-breaking writings attempted to establish unshakeable foundations of knowledge, and set a trend for subsequent Western philosophy, which has endlessly critiqued and expanded upon his ideas.

Ever wondered how your favorite apps predict your preferences or how self-driving cars navigate the roads? Welcome to the world of Machine Learning, where these wonders come to life! "Introduction to Machine Learning" is your ticket to unraveling the mysteries of this groundbreaking technology without the need for a PhD!

Its a known fact that computers can store exponential amounts of information on their hard-drives. But our human brains have a set capacity and just cannot compete against technology on this front. Engineers and scientist are discovering ways to model our human brains and integrate certain aspects of it to create what we know as "neural networks". Take this opportunity to learn about the next big innovation in technology and real-world applications of the next potential trillion-dollar industry (artificial intelligence) that will take the world by storm.

Blockchain is one of the most exciting developments since the Internet. It is a completely revolutionary way to secure online data and one that will change things forever. It has turned the way we think about Internet security completely on its head. It not only changes the way we look at online security, but it turns some heads doing it. For the first time ever, companies have a way of maintaining a complete support system for online devices and appliances without having to break the bank.