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Author : Hermann Weyl
Publisher : Courier Corporation
Page : 208 pages
File Size : 50,8 Mb
Release : 2013-09-26
Category : Mathematics
ISBN : 9780486266930
Original anthology features less-technical essays discussing logic, topology, abstract algebra, relativity theory, and the works of David Hilbert. Most have been long unavailable or previously unpublished in book form. 2012 edition.
Author : Hermann Weyl,Peter Pesic
Publisher : Courier Corporation
Page : 258 pages
File Size : 42,7 Mb
Release : 2012-01-01
Category : Mathematics
ISBN : 9780486489032
This original anthology collects 10 of Weyl's less-technical writings that address the broader scope and implications of mathematics. Most have been long unavailable or not previously published in book form. Subjects include logic, topology, abstract algebra, relativity theory, and reflections on the work of Weyl's mentor, David Hilbert. 2012 edition.
Author : A. Gardiner
Publisher : Springer Science & Business Media
Page : 309 pages
File Size : 42,7 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9781461256540
What shall we say of this metamorphosis in passing from finite to infinite? Galileo, Two New Sciences As its title suggests, this book was conceived as a prologue to the study of "Why the calculus works"--otherwise known as analysis. It is in fact a critical reexamination of the infinite processes arising in elementary math ematics: Part II reexamines rational and irrational numbers, and their representation as infinite decimals; Part III examines our ideas of length, area, and volume; and Part IV examines the evolution of the modern function-concept. The book may be used in a number of ways: firstly, as a genuine pro logue to analysis; secondly, as a supplementary text within an analysis course, providing a source of elementary motivation, background and ex amples; thirdly, as a kind of postscript to elementary analysis-as in a senior undergraduate course designed to reinforce students' understanding of elementary analysis and of elementary mathematics by considering the mathematical and historical connections between them. But the contents of the book should be of interest to a much wider audience than this including teachers, teachers in training, students in their last year at school, and others interested in mathematics.
Author : Rudy Rucker
Publisher : Princeton University Press
Page : 128 pages
File Size : 50,9 Mb
Release : 2019-07-23
Category : Mathematics
ISBN : 9780691191256
A dynamic exploration of infinity In Infinity and the Mind, Rudy Rucker leads an excursion to that stretch of the universe he calls the “Mindscape,” where he explores infinity in all its forms: potential and actual, mathematical and physical, theological and mundane. Using cartoons, puzzles, and quotations to enliven his text, Rucker acquaints us with staggeringly advanced levels of infinity, delves into the depths beneath daily awareness, and explains Kurt Gödel’s belief in the possibility of robot consciousness. In the realm of infinity, mathematics, science, and logic merge with the fantastic. By closely examining the paradoxes that arise, we gain profound insights into the human mind, its powers, and its limitations. This Princeton Science Library edition includes a new preface by the author.
Author : Mark Zegarelli
Publisher : John Wiley & Sons
Page : 530 pages
File Size : 52,5 Mb
Release : 2015-07-07
Category : Mathematics
ISBN : 9781119067955
The fun and friendly guide to really understanding math U Can: Basic Math & Pre-Algebra For Dummies is the fun, friendly guide to making sense of math. It walks you through the "how" and "why" to help you master the crucial operations that underpin every math class you'll ever take. With no-nonsense lessons, step-by-step instructions, practical examples, and plenty of practice, you'll learn how to manipulate non-whole numbers, tackle pesky fractions, deal with weights and measures, simplify algebraic expressions, and so much more. The "learn it – do it" style helps you move at your own pace, with lesson-sized explanations, examples, and practice. You also get access to 1,001 more practice problems online, where you can create customized quizzes and study the topics where you need the most help. Math can be hard — and the basics in U Can: Basic Math & Pre-Algebra For Dummies lay the foundation for classes down the line. Consider this resource as your guide to math mastery, with step-by-step help for learning to: Put numbers in their place Make sense of fractions, decimals, and percents Get a grasp of basic geometry Simplify basic algebraic equations Believe it or not, math can be fun! And the better you understand it now, the more likely you are to do well in school, earn a degree, and get a good job. U Can: Basic Math & Pre-Algebra For Dummies gives you the skills, understanding, and confidence you need to conquer math once and for all.
Author : Mark Zegarelli
Publisher : John Wiley & Sons
Page : 409 pages
File Size : 45,9 Mb
Release : 2016-05-18
Category : Mathematics
ISBN : 9781119298885
Basic Math & Pre-Algebra For Dummies, 2nd Edition (9781119293637) was previously published as Basic Math & Pre-Algebra For Dummies, 2nd Edition (9781118791981). While this version features a new Dummies cover and design, the content is the same as the prior release and should not be considered a new or updated product. Tips for simplifying tricky basic math and pre-algebra operations Whether you're a student preparing to take algebra or a parent who wants or needs to brush up on basic math, this fun, friendly guide has the tools you need to get in gear. From positive, negative, and whole numbers to fractions, decimals, and percents, you'll build necessary math skills to tackle more advanced topics, such as imaginary numbers, variables, and algebraic equations. Explanations and practical examples that mirror today's teaching methods Relevant cultural vernacular and references Standard For Dummiesmaterials that match the current standard and design Basic Math & Pre-Algebra For Dummies takes the intimidation out of tricky operations and helps you get ready for algebra!
Author : Stephen Blaha
Publisher : Pingree-Hill Publishing
Page : 208 pages
File Size : 43,7 Mb
Release : 2001-10
Category : God
ISBN : 9780759663046
Author : Steven Strogatz
Publisher : Eamon Dolan Books
Page : 389 pages
File Size : 50,8 Mb
Release : 2019
Category : History
ISBN : 9781328879981
From preeminent math personality and author of The Joy of x, a brilliant and endlessly appealing explanation of calculus - how it works and why it makes our lives immeasurably better. Without calculus, we wouldn't have cell phones, TV, GPS, or ultrasound. We wouldn't have unraveled DNA or discovered Neptune or figured out how to put 5,000 songs in your pocket. Though many of us were scared away from this essential, engrossing subject in high school and college, Steven Strogatz's brilliantly creative, down‑to‑earth history shows that calculus is not about complexity; it's about simplicity. It harnesses an unreal number--infinity--to tackle real‑world problems, breaking them down into easier ones and then reassembling the answers into solutions that feel miraculous. Infinite Powers recounts how calculus tantalized and thrilled its inventors, starting with its first glimmers in ancient Greece and bringing us right up to the discovery of gravitational waves (a phenomenon predicted by calculus). Strogatz reveals how this form of math rose to the challenges of each age: how to determine the area of a circle with only sand and a stick; how to explain why Mars goes "backwards" sometimes; how to make electricity with magnets; how to ensure your rocket doesn't miss the moon; how to turn the tide in the fight against AIDS. As Strogatz proves, calculus is truly the language of the universe. By unveiling the principles of that language, Infinite Powers makes us marvel at the world anew.
Author : Rudy Rucker
Publisher : Courier Corporation
Page : 328 pages
File Size : 52,9 Mb
Release : 2013-11-21
Category : Mathematics
ISBN : 9780486492285
Originally published: Boston: Houghton Mifflin, 1987.
Author : Anonim
Publisher : Oxford University Press
Page : 1617 pages
File Size : 47,8 Mb
Release : 2021-11-30
Category : Calculus
ISBN : 9780192895592
Calculus Set Free: Infinitesimals to the Rescue is a single-variable calculus textbook that incorporates the use of infinitesimal methods. The procedures used throughout make many of the calculations simpler and the concepts clearer for undergraduate students, heightening success and easing a significant burden of entry into STEM disciplines. This text features a student-friendly exposition with ample marginal notes, examples, illustrations, and more. The exercises include a wide range of difficulty levels, stretching from very simple rapid response questions to the occasional exercise meant to test knowledge. While some exercises require the use of technology to work through, none are dependent on any specific software. The answers to odd-numbered exercises in the back of the book include both simplified and non-simplified answers, hints, or alternative answers. Throughout the text, notes in the margins include comments meant to supplement understanding, sometimes including line-by-line commentary for worked examples. Without sacrificing academic rigor, Calculus Set Free offers an engaging style that helps students to solidify their understanding on difficult theoretical calculus.
Author : Alain Badiou
Publisher : Bloomsbury Publishing
Page : 625 pages
File Size : 49,5 Mb
Release : 2022-05-19
Category : Philosophy
ISBN : 9781350115316
The Being and Event trilogy is the philosophical basis of Alain Badiou's entire oeuvre. It is formed of three major texts, which constitute a kind of metaphysical saga: Being and Event (1988). ), Logics of the Worlds (2006) and finally The Immanence of Truths, which he has been working on for 15 years. The new volume reverses the perspective adopted in Logics of Worlds. Where in that book, Badiou saw fit to analyze how truths, qua events, appear from the perspective of particular worlds that by definition exclude them, in The Immanence of Truths Badiou asks instead how the irruption of truths transforms the worlds within which they by necessity must arise. An emphasis on regularity and continuity has given way to an attempt, one unquestionable in its philosophical power and implications, to formalize rupture and reconfiguration. The Being and Event trilogy is a unique and ambitious work that reveals how truths can be at once context-specific and universal, situational and eternal.
Author : Rudy Rucker
Publisher : Princeton University Press
Page : 372 pages
File Size : 48,6 Mb
Release : 2019-07-23
Category : Computers
ISBN : 9780691191386
A dynamic exploration of infinity In Infinity and the Mind, Rudy Rucker leads an excursion to that stretch of the universe he calls the “Mindscape,” where he explores infinity in all its forms: potential and actual, mathematical and physical, theological and mundane. Using cartoons, puzzles, and quotations to enliven his text, Rucker acquaints us with staggeringly advanced levels of infinity, delves into the depths beneath daily awareness, and explains Kurt Gödel’s belief in the possibility of robot consciousness. In the realm of infinity, mathematics, science, and logic merge with the fantastic. By closely examining the paradoxes that arise, we gain profound insights into the human mind, its powers, and its limitations. This Princeton Science Library edition includes a new preface by the author.
Author : Stanley Rosen
Publisher : University of Chicago Press
Page : 518 pages
File Size : 41,5 Mb
Release : 2013-11-15
Category : Philosophy
ISBN : 9780226065915
Although Hegel considered Science of Logic essential to his philosophy, it has received scant commentary compared with the other three books he published in his lifetime. Here philosopher Stanley Rosen rescues the Science of Logic from obscurity, arguing that its neglect is responsible for contemporary philosophy’s fracture into many different and opposed schools of thought. Through deep and careful analysis, Rosen sheds new light on the precise problems that animate Hegel’s overlooked book and their tremendous significance to philosophical conceptions of logic and reason. Rosen’s overarching question is how, if at all, rationalism can overcome the split between monism and dualism. Monism—which claims a singular essence for all things—ultimately leads to nihilism, while dualism, which claims multiple, irreducible essences, leads to what Rosen calls “the endless chatter of the history of philosophy.” The Science of Logic, he argues, is the fundamental text to offer a new conception of rationalism that might overcome this philosophical split. Leading readers through Hegel’s book from beginning to end, Rosen’s argument culminates in a masterful chapter on the Idea in Hegel. By fully appreciating the Science of Logic and situating it properly within Hegel’s oeuvre, Rosen in turn provides new tools for wrangling with the conceptual puzzles that have brought so many other philosophers to disaster.
Author : Martin Riedelsheimer
Publisher : Walter de Gruyter GmbH & Co KG
Page : 256 pages
File Size : 46,7 Mb
Release : 2020-10-12
Category : Literary Criticism
ISBN : 9783110712407
This study traces the connection of infinity and Levinasian ethics in 21st-century fiction. It tackles the paradox of how infinity can be (re-)presented in the finite space between the covers of a book and finds an answer that combines conceptual metaphor theory with concepts from classical narratology and beyond, such as mise en abyme, textual circularity, intertextuality or omniscient narration. It argues that texts with such structures may be conceptualised as infinite via Lakoff and Núñez’s Basic Metaphor of Infinity. The catachrestic transfer of infinity from structure to text means that the texts themselves are understood to be infinite. Taking its cue from the central role of the infinite in Emmanuel Levinas’s ethics, the function of such ‘fictions of infinity’ turns out to be ethical: infinite textuality disrupts reading patterns and calls into question the reader’s spontaneity to interpret. This hypothesis is put to the test in detailed readings of four 21st-century novels, David Mitchell’s Cloud Atlas, Jeanette Winterson’s The Stone Gods, Ian McEwan’s Saturday and John Banville’s The Infinities. This book thus combines ethical criticism with structural aesthetics to uncover ethical potential in fiction.
Author : Eugenia Cheng
Publisher : Profile Books
Page : 204 pages
File Size : 41,8 Mb
Release : 2017-03-09
Category : Mathematics
ISBN : 9781782830818
SHORTLISTED FOR THE 2017 ROYAL SOCIETY SCIENCE BOOK PRIZE Even small children know there are infinitely many whole numbers - start counting and you'll never reach the end. But there are also infinitely many decimal numbers between zero and one. Are these two types of infinity the same? Are they larger or smaller than each other? Can we even talk about 'larger' and 'smaller' when we talk about infinity? In Beyond Infinity, international maths sensation Eugenia Cheng reveals the inner workings of infinity. What happens when a new guest arrives at your infinite hotel - but you already have an infinite number of guests? How does infinity give Zeno's tortoise the edge in a paradoxical foot-race with Achilles? And can we really make an infinite number of cookies from a finite amount of cookie dough? Wielding an armoury of inventive, intuitive metaphor, Cheng draws beginners and enthusiasts alike into the heart of this mysterious, powerful concept to reveal fundamental truths about mathematics, all the way from the infinitely large down to the infinitely small.