Is Maths Real

Author : Eugenia Cheng
Publisher : Profile Books
Page : 247 pages
File Size : 44,8 Mb
Release : 2023-06-01
Category : Science
ISBN : 9781782839248

Get Book

Is Maths Real? by Eugenia Cheng Pdf

Why is -(-1) = 1? Why do odd and even numbers alternate? What's the point of algebra? Is maths even real? From imaginary numbers to the perplexing order of operations we all had drilled into us, Eugenia Cheng - mathematician, writer and woman on a mission to rid the world of maths phobia - brings us maths as we've never seen it before, revealing how profound insights can emerge from seemingly unlikely sources. Written with intelligence and passion, Is Maths Real? is a celebration of the true, curious spirit of the discipline.

Author : Eugenia Cheng
Publisher : Basic Books
Page : 321 pages
File Size : 49,5 Mb
Release : 2018-09-11
Category : Mathematics
ISBN : 9781541672505

Get Book

The Art of Logic in an Illogical World by Eugenia Cheng Pdf

How both logical and emotional reasoning can help us live better in our post-truth world In a world where fake news stories change election outcomes, has rationality become futile? In The Art of Logic in an Illogical World, Eugenia Cheng throws a lifeline to readers drowning in the illogic of contemporary life. Cheng is a mathematician, so she knows how to make an airtight argument. But even for her, logic sometimes falls prey to emotion, which is why she still fears flying and eats more cookies than she should. If a mathematician can't be logical, what are we to do? In this book, Cheng reveals the inner workings and limitations of logic, and explains why alogic -- for example, emotion -- is vital to how we think and communicate. Cheng shows us how to use logic and alogic together to navigate a world awash in bigotry, mansplaining, and manipulative memes. Insightful, useful, and funny, this essential book is for anyone who wants to think more clearly.

Author : Daniel Rosenthal,David Rosenthal,Peter Rosenthal
Publisher : Springer
Page : 171 pages
File Size : 42,7 Mb
Release : 2014-07-03
Category : Mathematics
ISBN : 9783319056548

Get Book

A Readable Introduction to Real Mathematics by Daniel Rosenthal,David Rosenthal,Peter Rosenthal Pdf

Designed for an undergraduate course or for independent study, this text presents sophisticated mathematical ideas in an elementary and friendly fashion. The fundamental purpose of this book is to engage the reader and to teach a real understanding of mathematical thinking while conveying the beauty and elegance of mathematics. The text focuses on teaching the understanding of mathematical proofs. The material covered has applications both to mathematics and to other subjects. The book contains a large number of exercises of varying difficulty, designed to help reinforce basic concepts and to motivate and challenge the reader. The sole prerequisite for understanding the text is basic high school algebra; some trigonometry is needed for Chapters 9 and 12. Topics covered include: mathematical induction - modular arithmetic - the fundamental theorem of arithmetic - Fermat's little theorem - RSA encryption - the Euclidean algorithm -rational and irrational numbers - complex numbers - cardinality - Euclidean plane geometry - constructability (including a proof that an angle of 60 degrees cannot be trisected with a straightedge and compass). This textbook is suitable for a wide variety of courses and for a broad range of students in the fields of education, liberal arts, physical sciences and mathematics. Students at the senior high school level who like mathematics will also be able to further their understanding of mathematical thinking by reading this book.

Author : Matt Parker
Publisher : Penguin
Page : 338 pages
File Size : 48,5 Mb
Release : 2020-01-21
Category : Mathematics
ISBN : 9780593084700

Get Book

Humble Pi by Matt Parker Pdf

#1 INTERNATIONAL BESTSELLER AN ADAM SAVAGE BOOK CLUB PICK The book-length answer to anyone who ever put their hand up in math class and asked, “When am I ever going to use this in the real world?” “Fun, informative, and relentlessly entertaining, Humble Pi is a charming and very readable guide to some of humanity's all-time greatest miscalculations—that also gives you permission to feel a little better about some of your own mistakes.” —Ryan North, author of How to Invent Everything Our whole world is built on math, from the code running a website to the equations enabling the design of skyscrapers and bridges. Most of the time this math works quietly behind the scenes . . . until it doesn’t. All sorts of seemingly innocuous mathematical mistakes can have significant consequences. Math is easy to ignore until a misplaced decimal point upends the stock market, a unit conversion error causes a plane to crash, or someone divides by zero and stalls a battleship in the middle of the ocean. Exploring and explaining a litany of glitches, near misses, and mathematical mishaps involving the internet, big data, elections, street signs, lotteries, the Roman Empire, and an Olympic team, Matt Parker uncovers the bizarre ways math trips us up, and what this reveals about its essential place in our world. Getting it wrong has never been more fun.

Author : Apoorva Khare,Anna Lachowska
Publisher : Yale University Press
Page : 480 pages
File Size : 52,7 Mb
Release : 2015-08-25
Category : Mathematics
ISBN : 9780300190892

Get Book

Beautiful, Simple, Exact, Crazy by Apoorva Khare,Anna Lachowska Pdf

In this vibrant work, which is ideal for both teaching and learning, Apoorva Khare and Anna Lachowska explain the mathematics essential for understanding and appreciating our quantitative world. They show with examples that mathematics is a key tool in the creation and appreciation of art, music, and literature, not just science and technology. The book covers basic mathematical topics from logarithms to statistics, but the authors eschew mundane finance and probability problems. Instead, they explain how modular arithmetic helps keep our online transactions safe, how logarithms justify the twelve-tone scale commonly used in music, and how transmissions by deep space probes are similar to knights serving as messengers for their traveling prince. Ideal for coursework in introductory mathematics and requiring no knowledge of calculus, Khare and Lachowska's enlightening mathematics tour will appeal to a wide audience.

Author : EUGENIA CHENG
Publisher : Unknown
Page : 0 pages
File Size : 44,6 Mb
Release : 2024-06-06
Category : Electronic
ISBN : 1788169530

Get Book

IS MATHS REAL by EUGENIA CHENG Pdf

Author : Zvi Artstein
Publisher : Prometheus Books
Page : 368 pages
File Size : 47,7 Mb
Release : 2014-09-02
Category : Mathematics
ISBN : 9781616145460

Get Book

Mathematics and the Real World by Zvi Artstein Pdf

In this accessible and illuminating study of how the science of mathematics developed, a veteran math researcher and educator looks at the ways in which our evolutionary makeup is both a help and a hindrance to the study of math. Artstein chronicles the discovery of important mathematical connections between mathematics and the real world from ancient times to the present. The author then describes some of the contemporary applications of mathematics—in probability theory, in the study of human behavior, and in combination with computers, which give mathematics unprecedented power. The author concludes with an insightful discussion of why mathematics, for most people, is so frustrating. He argues that the rigorous logical structure of math goes against the grain of our predisposed ways of thinking as shaped by evolution, presumably because the talent needed to cope with logical mathematics gave the human race as a whole no evolutionary advantage. With this in mind, he offers ways to overcome these innate impediments in the teaching of math.

Author : W.D. Wallis
Publisher : Springer Science & Business Media
Page : 274 pages
File Size : 41,9 Mb
Release : 2013-09-20
Category : Mathematics
ISBN : 9781461485292

Get Book

Mathematics in the Real World by W.D. Wallis Pdf

Mathematics in the Real World is a self-contained, accessible introduction to the world of mathematics for non-technical majors. With a focus on everyday applications and context, the topics in this textbook build in difficulty and are presented sequentially, starting with a brief review of sets and numbers followed by an introduction to elementary statistics, models, and graph theory. Data and identification numbers are then covered, providing the pathway to voting and finance. Each subject is covered in a concise and clear fashion through the use of real-world applications and the introduction of relevant terminology. Many sample problems – both writing exercises and multiple-choice questions – are included to help develop students’ level of understanding and to offer a variety of options to instructors. Covering six major units and outlining a one-semester course, Mathematics in the Real World is aimed at undergraduate liberal art students fulfilling the mathematics requirement in their degree program. This introductory text will be an excellent resource for such courses, and will show students where mathematics arises in their everyday lives.

Author : Jim Libby
Publisher : McFarland
Page : 213 pages
File Size : 42,8 Mb
Release : 2017-01-05
Category : Education
ISBN : 9781476667492

Get Book

Math for Real Life by Jim Libby Pdf

"Where are we ever going to use this?" Every high school math student has asked this question. Often teachers themselves aren't sure how to respond. One answer is that higher mathematics learned in high school will be essential to learning yet more at the college level. A more satisfactory answer calls for an awareness of how math is applied in many specific areas. Written primarily for teachers, this book presents hundreds of practical applications for mathematics--from baseball statistics to the theory of relativity--that can be understood by anyone with a knowledge of high school algebra, geometry and trigonometry.

Author : Brian Clegg
Publisher : Macmillan
Page : 303 pages
File Size : 55,7 Mb
Release : 2016-12-06
Category : Mathematics
ISBN : 9781250081049

Get Book

Are Numbers Real? by Brian Clegg Pdf

Presents an accessible, in-depth look at the history of numbers and their applications in life and science, from math's surreal presence in the virtual world to the debates about the role of math in science.

Author : David Corfield
Publisher : Cambridge University Press
Page : 300 pages
File Size : 49,8 Mb
Release : 2003-04-24
Category : Philosophy
ISBN : 9781139436397

Get Book

Towards a Philosophy of Real Mathematics by David Corfield Pdf

In this ambitious study, David Corfield attacks the widely held view that it is the nature of mathematical knowledge which has shaped the way in which mathematics is treated philosophically and claims that contingent factors have brought us to the present thematically limited discipline. Illustrating his discussion with a wealth of examples, he sets out a variety of approaches to new thinking about the philosophy of mathematics, ranging from an exploration of whether computers producing mathematical proofs or conjectures are doing real mathematics, to the use of analogy, the prospects for a Bayesian confirmation theory, the notion of a mathematical research programme and the ways in which new concepts are justified. His inspiring book challenges both philosophers and mathematicians to develop the broadest and richest philosophical resources for work in their disciplines and points clearly to the ways in which this can be done.

Author : Genene Rhodes
Publisher : Teacher Created Resources
Page : 114 pages
File Size : 45,9 Mb
Release : 2002-09
Category : Education
ISBN : 9780743932677

Get Book

Real-World Math by Genene Rhodes Pdf

Guided practice and activity pages help students formulate complete answers to real-life problems involving logical reasoning, pre-algebra, decimals, percentages, basic geometry, graphs, and statistics.

Author : Underwood Dudley
Publisher : MAA Press
Page : 346 pages
File Size : 49,6 Mb
Release : 2008-04-29
Category : Mathematics
ISBN : STANFORD:36105131792850

Get Book

Is Mathematics Inevitable? by Underwood Dudley Pdf

A collection of true stories, anecdotes and other gems from the literature of mathematics that shine as brightly today as when they first appeared - they deserve to be seen and admired. Most are non-technical and will be found interesting, amusing or informative by readers with any interest in mathematics.

Author : Eugenia Cheng
Publisher : Profile Books
Page : 128 pages
File Size : 42,5 Mb
Release : 2020-07-16
Category : Mathematics
ISBN : 9781782834434

Get Book

x+y by Eugenia Cheng Pdf

From imaginary numbers to the fourth dimension and beyond, mathematics has always been about imagining things that seem impossible at first glance. In x+y, Eugenia Cheng draws on the insights of higher-dimensional mathematics to reveal a transformative new way of talking about the patriarchy, mansplaining and sexism: a way that empowers all of us to make the world a better place. Using precise mathematical reasoning to uncover everything from the sexist assumptions that make society a harder place for women to live to the limitations of science and statistics in helping us understand the link between gender and society, Cheng's analysis replaces confusion with clarity, brings original thinking to well worn arguments - and provides a radical, illuminating and liberating new way of thinking about the world and women's place in it.

Author : Charles Chapman Pugh
Publisher : Springer Science & Business Media
Page : 445 pages
File Size : 43,8 Mb
Release : 2013-03-19
Category : Mathematics
ISBN : 9780387216843

Get Book

Real Mathematical Analysis by Charles Chapman Pugh Pdf

Was plane geometry your favourite math course in high school? Did you like proving theorems? Are you sick of memorising integrals? If so, real analysis could be your cup of tea. In contrast to calculus and elementary algebra, it involves neither formula manipulation nor applications to other fields of science. None. It is Pure Mathematics, and it is sure to appeal to the budding pure mathematician. In this new introduction to undergraduate real analysis the author takes a different approach from past studies of the subject, by stressing the importance of pictures in mathematics and hard problems. The exposition is informal and relaxed, with many helpful asides, examples and occasional comments from mathematicians like Dieudonne, Littlewood and Osserman. The author has taught the subject many times over the last 35 years at Berkeley and this book is based on the honours version of this course. The book contains an excellent selection of more than 500 exercises.