Algebra The Beautiful
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Algebra The Beautiful
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Author : G. Arnell Williams
language : en
Publisher: Hachette UK
Release Date : 2022-08-23
Algebra The Beautiful written by G. Arnell Williams and has been published by Hachette UK this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-08-23 with Mathematics categories.
A mathematician reveals the hidden beauty, power, and—yes—fun of algebra What comes to mind when you think about algebra? For many of us, it’s memories of dull or frustrating classes in high school. Award-winning mathematics professor G. Arnell Williams is here to change that. Algebra the Beautiful is a journey into the heart of fundamental math that proves just how amazing this subject really is. Drawing on lessons from twenty-five years of teaching mathematics, Williams blends metaphor, history, and storytelling to uncover algebra’s hidden grandeur. Whether you’re a teacher looking to make math come alive for your students, a parent hoping to get your children engaged, a student trying to come to terms with a sometimes bewildering subject, or just a lover of mathematics, this book has something for you. With a passion that’s contagious, G. Arnell Williams shows how each of us can grasp the beauty and harmony of algebra.
How Math Works
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Author : G. Arnell Williams
language : en
Publisher: Rowman & Littlefield Publishers
Release Date : 2013-04-04
How Math Works written by G. Arnell Williams and has been published by Rowman & Littlefield Publishers this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-04-04 with Education categories.
We hear all the time how American children are falling behind their global peers in various basic subjects, but particularly in math. Is it our fear of math that constrains us? Or our inability to understand math’s place in relation to our everyday lives? How can we help our children better understand the basics of arithmetic if we’re not really sure we understand them ourselves? Here, G. Arnell Williams helps parents and teachers explore the world of math that their elementary school children are learning. Taking readers on a tour of the history of arithmetic, and its growth into the subject we know it to be today, Williams explores the beauty and relevance of mathematics by focusing on the great conceptual depth and genius already inherent in the elementary mathematics familiar to us all, and by connecting it to other well-known areas such as language and the conceptual aspects of everyday life. The result is a book that will help you to better explain mathematics to your children. For those already well versed in these areas, the book offers a tour of the great conceptual and historical facts and assumptions that most simply take for granted. If you are someone who has always struggled with mathematics either because you couldn’t do it or because you never really understood why the rules are the way they are, if you were irritated with the way it was taught to you with the emphasis being only on learning the rules and “recipes” by rote as opposed to obtaining a good conceptual understanding, then How Math Works is for you!
Algebra
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Author : B.L. van der Waerden
language : en
Publisher: Springer
Release Date : 2003-11-04
Algebra written by B.L. van der Waerden and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-11-04 with Mathematics categories.
This beautiful and eloquent text transformed the graduate teaching of algebra in Europe and the United States. It clearly and succinctly formulated the conceptual and structural insights which Noether had expressed so forcefully and combined it with the elegance and understanding with which Artin had lectured. This text is a reprinted version of the original English translation of the first volume of B.L. van der Waerden’s Algebra.
The Math Myth
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Author : Andrew Hacker
language : en
Publisher: New Press, The
Release Date : 2010-05-25
The Math Myth written by Andrew Hacker and has been published by New Press, The this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-05-25 with Education categories.
A New York Times–bestselling author looks at mathematics education in America—when it’s worthwhile, and when it’s not. Why do we inflict a full menu of mathematics—algebra, geometry, trigonometry, even calculus—on all young Americans, regardless of their interests or aptitudes? While Andrew Hacker has been a professor of mathematics himself, and extols the glories of the subject, he also questions some widely held assumptions in this thought-provoking and practical-minded book. Does advanced math really broaden our minds? Is mastery of azimuths and asymptotes needed for success in most jobs? Should the entire Common Core syllabus be required of every student? Hacker worries that our nation’s current frenzied emphasis on STEM is diverting attention from other pursuits and even subverting the spirit of the country. Here, he shows how mandating math for everyone prevents other talents from being developed and acts as an irrational barrier to graduation and careers. He proposes alternatives, including teaching facility with figures, quantitative reasoning, and understanding statistics. Expanding upon the author’s viral New York Times op-ed, The Math Myth is sure to spark a heated and needed national conversation—not just about mathematics but about the kind of people and society we want to be. “Hacker’s accessible arguments offer plenty to think about and should serve as a clarion call to students, parents, and educators who decry the one-size-fits-all approach to schooling.” —Publishers Weekly, starred review
Beautiful Simple Exact Crazy
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Author : Apoorva Khare
language : en
Publisher: Yale University Press
Release Date : 2015-08-25
Beautiful Simple Exact Crazy written by Apoorva Khare and has been published by Yale University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-08-25 with Mathematics categories.
Two mathematicians explore how math fits into everything from art, music, and literature to space probes and game shows. 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 like knights serving as messengers for their traveling prince. Perfect for coursework in introductory mathematics and requiring no knowledge of calculus, Khare and Lachowska’s enlightening mathematics tour will appeal to a wide audience. “A whirlwind tour through mathematics and its applications to the real world, laced with stimulating exercises and fascinating historical insights. Destined to become a classic of mathematical exposition.” —Eli Maor, author of e: the Story of a Number and Trigonometric Delights “Khare and Lachowska introduce bite-size pieces of important math by surrounding them with interesting context, from the Monty Hall problem for probability to a story by Dino Buzzati for velocity. Math treated with seriousness and fun.” —Michael Frame, co-author, with Benoit Mandelbrot, of Fractals, Graphics, and Mathematics Education “An excellent book, well-suited for a thoughtful, quantitatively-rigorous ‘Math for Humanists’ course.” —William Goldbloom Bloch, author of The Unimaginable Mathematics of Borges’ Library of Babel
Abstract Algebra
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Author : Dan Saracino
language : en
Publisher: Waveland Press
Release Date : 2008-09-02
Abstract Algebra written by Dan Saracino and has been published by Waveland Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-09-02 with Mathematics categories.
The Second Edition of this classic text maintains the clear exposition, logical organization, and accessible breadth of coverage that have been its hallmarks. It plunges directly into algebraic structures and incorporates an unusually large number of examples to clarify abstract concepts as they arise. Proofs of theorems do more than just prove the stated results; Saracino examines them so readers gain a better impression of where the proofs come from and why they proceed as they do. Most of the exercises range from easy to moderately difficult and ask for understanding of ideas rather than flashes of insight. The new edition introduces five new sections on field extensions and Galois theory, increasing its versatility by making it appropriate for a two-semester as well as a one-semester course.
A Book Of Abstract Algebra
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Author : Charles C Pinter
language : en
Publisher: Courier Corporation
Release Date : 2010-01-14
A Book Of Abstract Algebra written by Charles C Pinter and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-01-14 with Mathematics categories.
Accessible but rigorous, this outstanding text encompasses all of the topics covered by a typical course in elementary abstract algebra. Its easy-to-read treatment offers an intuitive approach, featuring informal discussions followed by thematically arranged exercises. This second edition features additional exercises to improve student familiarity with applications. 1990 edition.
Beautiful Symmetry
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Author : Alex Berke
language : en
Publisher: MIT Press
Release Date : 2020-02-18
Beautiful Symmetry written by Alex Berke and has been published by MIT Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-02-18 with Mathematics categories.
A coloring book that invites readers to explore symmetry and the beauty of math visually. Beautiful Symmetry is a coloring book about math, inviting us to engage with mathematical concepts visually through coloring challenges and visual puzzles. We can explore symmetry and the beauty of mathematics playfully, coloring through ideas usually reserved for advanced courses. The book is for children and adults, for math nerds and math avoiders, for educators, students, and coloring enthusiasts. Through illustration, language that is visual, and words that are jargon-free, the book introduces group theory as the mathematical foundation for discussions of symmetry, covering symmetry groups that include the cyclic groups, frieze groups, and wallpaper groups. The illustrations are drawn by algorithms, following the symmetry rules for each given group. The coloring challenges can be completed and fully realized only on the page; solutions are provided. Online, in a complementary digital edition, the illustrations come to life with animated interactions that show the symmetries that generated them. Traditional math curricula focus on arithmetic and the manipulation of numbers, and may make some learners feel that math is not for them. By offering a more visual and tactile approach, this book shows how math can be for everyone. Combining the playful and the pedagogical, Beautiful Symmetry offers both relaxing entertainment for recreational colorers and a resource for math-curious readers, students, and educators.
Undergraduate Algebra
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Author : Serge Lang
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-06-29
Undergraduate Algebra written by Serge Lang and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-06-29 with Mathematics categories.
The companion title, Linear Algebra, has sold over 8,000 copies The writing style is very accessible The material can be covered easily in a one-year or one-term course Includes Noah Snyder's proof of the Mason-Stothers polynomial abc theorem New material included on product structure for matrices including descriptions of the conjugation representation of the diagonal group
Linear Algebra Gateway To Mathematics Second Edition
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Author : Robert Messer
language : en
Publisher: American Mathematical Soc.
Release Date : 2021-07-12
Linear Algebra Gateway To Mathematics Second Edition written by Robert Messer and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-07-12 with Education categories.
Linear Algebra: Gateway to Mathematics uses linear algebra as a vehicle to introduce students to the inner workings of mathematics. The structures and techniques of mathematics in turn provide an accessible framework to illustrate the powerful and beautiful results about vector spaces and linear transformations. The unifying concepts of linear algebra reveal the analogies among three primary examples: Euclidean spaces, function spaces, and collections of matrices. Students are gently introduced to abstractions of higher mathematics through discussions of the logical structure of proofs, the need to translate terminology into notation, and efficient ways to discover and present proofs. Application of linear algebra and concrete examples tie the abstract concepts to familiar objects from algebra, geometry, calculus, and everyday life. Students will finish a course using this text with an understanding of the basic results of linear algebra and an appreciation of the beauty and utility of mathematics. They will also be fortified with a degree of mathematical maturity required for subsequent courses in abstract algebra, real analysis, and elementary topology. Students who have prior background in dealing with the mechanical operations of vectors and matrices will benefit from seeing this material placed in a more general context.