Author: Hiroshi Yuki
Publisher:
ISBN: 9781939326287
Category : Juvenile Nonfiction
Languages : en
Pages : 394
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Book Description
In the early twentieth century, a massive undertaking to rid mathematics of all paradoxes and inconsistencies was underway. Known as Hilbert's program, it sought to provide an unshakable foundation for all of mathematics. Things seemed to be proceeding well until young Kurt Godel stunned the world by proving that Hilbert's goals were unobtainable, that contradiction was part of the warp and weave of any mathematical system. Yet what at the time seemed to be a fatal blow to mathematical consistency now forms the basis of modern logic. Godel's incompleteness theorems are often misunderstood to be a statement of the limits of mathematical reasoning, but in truth they strengthen mathematics, building it up to be more powerful than what had come before. In this third book in the Math Girls series, join Miruka and friends as they tackle the basics of modern logic, learning such topics as the Peano axioms, set theory, and diagonalization, leading up to an in-depth exploration of Godel's famous theorems. Along the way, visit other interesting and important topics such as trigonometry and the epsilon-delta definition of limits, and of course take on challenges from the enigmatic Mr. Muraki. Math Girls 3: Godel's Incompleteness Theorems has something for anyone interested in mathematics, from advanced high school students to college math majors and educators."
Author: Hiroshi Yuki
Publisher: Math Girls
ISBN: 9781939326478
Category :
Languages : en
Pages : 436
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Book Description
This fifth entry in the highly acclaimed Math Girls series focuses on the mathematics of Évariste Galois, the nineteenth-century wunderkind who revolutionized mathematics with work he performed while still a teenager. Mathematicians before him had discovered solutions to general second-, third-, and fourth-degree equations, but a similar "quintic formula" that would allow knowing the solutions to any fifth-degree equation had eluded mathematicians for centuries. Through his ingenious approach of bridging the worlds of groups and fields, young Galois not only showed that such a formula was impossible, he newly developed group theory and the branch of mathematics that today bears his name. Join Miruka and friends to see how Galois developed his theory, along with related topics such as geometric constructions and the angle trisection problem, derivation of the cubic formula, reducible and irreducible polynomials, group theory and field theory, symmetric polynomials, roots of unity, sets and cosets, cyclotomic polynomials, vector spaces, extension fields, and symmetric groups. The book concludes with a tour through Galois's first paper, in which he describes for the first time the necessary and sufficient conditions for a polynomial to be algebraically solved using radicals. Math Girls 5: Galois Theory has something for anyone interested in mathematics, from advanced high school to college students and educators.
Author: Hiroshi Yuki
Publisher:
ISBN: 9781939326249
Category : Juvenile Nonfiction
Languages : en
Pages : 236
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Book Description
Math Girls Talk About Integers introduces students to a variety of fun and informative topics in discrete math, including curious features of the prime numbers, tricks for checking for multiples of 3 and 9 (and why those tricks work!), using division remainders to solve some unusual problems, and an in-depth look at proof by mathematical induction. These topics are introduced through conversations between the characters from Math Girls, offering a fun way to learn this serious content. Each chapter comes with review problems and answers, and an appendix gives more challenging, open-ended problems for readers wanting to push the limits of their understanding.
Author: Hiroshi Yūki
Publisher:
ISBN: 9781939326256
Category : Juvenile Nonfiction
Languages : en
Pages : 276
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Book Description
Explores a variety of fun and informative topics in trigonometry, from basics like defining the sine and cosine functions, to less frequently seen topics like Lissajous curves and different ways of deriving the value of pi. These topics are introduced through conversations between the characters from the Math Girls series, offering a fun way to learn this serious content. The third in a series aimed at preparing students for advanced mathematics studies.
Author: Hiroshi Yuki
Publisher:
ISBN: 9781939326225
Category : Juvenile Nonfiction
Languages : en
Pages : 176
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Book Description
From the author of Math Girls comes an exciting new series for learning and reviewing important skills for taking on advanced mathematics! This first volume, Math Girls Talk About Equations and Graphs, develops topics such as using variables in equations, polynomials, setting up systems of equations, proportions and inverse proportions, the relation between equations and their graphs, parabolas, intersections, and tangent lines. These topics are introduced through conversations between the characters from Math Girls, offering a fun way to learn this serious content. Each chapter comes with review problems and answers, and an appendix gives more challenging, open-ended problems for learners wanting to push the limits of their understanding. This book is most suited to middle- or high-school students who have learned basic algebra, or older readers who want to brush up on forgotten math skills. This series came about through requests from readers who enjoyed the excitement of learning aspects of the Math Girls series, but found themselves unprepared to keep up with the mathematical content. We hope that the books in this series will help young mathematicians firm up vital math skills that will allow them to excel in more advanced studies.
Author: Julia Finley Mosca
Publisher: Amazing Scientists
ISBN: 9781943147700
Category : Juvenile Nonfiction
Languages : en
Pages : 0
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Book Description
After touring a German submarine in the early 1940s, young Raye set her sights on becoming an engineer. Little did she know sexism and racial inequality would challenge that dream every step of the way, even keeping her greatest career accomplishment a secret for decades. Through it all, the gifted mathematician persisted-- finally gaining her well-deserved title in history: a pioneer who changed the course of ship design forever.
Author: Jeannine Atkins
Publisher: Atheneum Books for Young Readers
ISBN: 1534460683
Category : Juvenile Fiction
Languages : en
Pages : 320
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Book Description
Learn about seven groundbreaking women in math and science in this gorgeously written biographical novel-in-verse, a companion to the “original and memorable” (Booklist, starred review) Finding Wonders: Three Girls Who Changed Science. After a childhood spent looking up at the stars, Caroline Herschel was the first woman to discover a comet and to earn a salary for scientific research. Florence Nightingale was a trailblazing nurse whose work reformed hospitals and one of the founders of the field of medical statistics. The first female electrical engineer, Hertha Marks Ayrton registered twenty-six patents for her inventions. Marie Tharp helped create the first map of the entire ocean floor, which helped scientists understand our subaquatic world and suggested how the continents shifted. A mathematical prodigy, Katherine Johnson calculated trajectories and launch windows for many NASA projects including the Apollo 11 mission. Edna Lee Paisano, a citizen of the Nez Perce Nation, was the first Native American to work full time for the Census Bureau, overseeing a large increase in American Indian and Alaskan Native representation. And Vera Rubin studied more than two hundred galaxies and found the first strong evidence for dark matter. Told in vibrant, evocative poems, this stunning novel celebrates seven remarkable women who used math as their key to explore the mysteries of the universe and grew up to do innovative work that changed the world.
Author: Danica McKellar
Publisher: Penguin
ISBN: 1101644400
Category : Mathematics
Languages : en
Pages : 434
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Book Description
New York Times bestselling author Danica McKellar makes it a breeze to excel in high school geometry! Hollywood actress and math whiz Danica McKellar has completely shattered the “math nerd” stereotype. For years, she’s been showing girls how to feel confident and ace their math classes—with style! With Girls Get Curves, she applies her winning techniques to high school geometry, giving readers the tools they need to feel great and totally “get” everything from congruent triangles to theorems, and more. Inside you’ll find: • Time-saving tips and tricks for homework and tests • Illuminating practice problems (and proofs!) with detailed solutions • Totally relateable real-world examples • True stories from Danica’s own life as an actress and math student • A Troubleshooting Guide, for getting unstuck during even the trickiest proofs! With Danica as a coach, girls everywhere can stop hiding from their homework and watch their scores rise!
Author: Hiroshi Yuki
Publisher:
ISBN: 9781939326430
Category : Mathematics
Languages : en
Pages : 438
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Book Description
This fourth entry in the highly acclaimed Math Girls series focuses on the mathematics of computer science and analysis of algorithms. Aimed at anyone interested in mathematics and computer science, from advanced high school students to college students and educators.
Author: Hiroshi Yuki
Publisher:
ISBN: 9780983951353
Category : Mathematics
Languages : en
Pages : 192
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Book Description
The Math Girls Manga is the comic adaptation of Hiroshi Yuki's bestselling novel of mathematical romance, available in English at last! Combining mathematical rigor with light romance, Math Girls is a unique introduction to advanced mathematics that has something for everyone, from advanced high school students to math majors and educators.
