Are you looking for read ebook online? Search for your book and save it on your Kindle device, PC, phones or tablets. Download Numbers And Symmetry PDF full book. Access full book title Numbers And Symmetry.
| Author | : Avner Ash |
| Publisher | : Princeton University Press |
| Total Pages | : 308 |
| Release | : 2008-08-24 |
| Genre | : Mathematics |
| ISBN | : 0691138710 |
Written in a friendly style for a general mathematically literate audience, 'Fearless Symmetry', starts with the basic properties of integers and permutations and reaches current research in number theory.
| Author | : Diane L. Herrmann |
| Publisher | : CRC Press |
| Total Pages | : 446 |
| Release | : 2012-10-18 |
| Genre | : Mathematics |
| ISBN | : 1466554649 |
Through a careful treatment of number theory and geometry, Number, Shape, & Symmetry: An Introduction to Number Theory, Geometry, and Group Theory helps readers understand serious mathematical ideas and proofs. Classroom-tested, the book draws on the authors’ successful work with undergraduate students at the University of Chicago, seventh to tenth grade mathematically talented students in the University of Chicago’s Young Scholars Program, and elementary public school teachers in the Seminars for Endorsement in Science and Mathematics Education (SESAME). The first half of the book focuses on number theory, beginning with the rules of arithmetic (axioms for the integers). The authors then present all the basic ideas and applications of divisibility, primes, and modular arithmetic. They also introduce the abstract notion of a group and include numerous examples. The final topics on number theory consist of rational numbers, real numbers, and ideas about infinity. Moving on to geometry, the text covers polygons and polyhedra, including the construction of regular polygons and regular polyhedra. It studies tessellation by looking at patterns in the plane, especially those made by regular polygons or sets of regular polygons. The text also determines the symmetry groups of these figures and patterns, demonstrating how groups arise in both geometry and number theory. The book is suitable for pre-service or in-service training for elementary school teachers, general education mathematics or math for liberal arts undergraduate-level courses, and enrichment activities for high school students or math clubs.
| Author | : Alex Berke |
| Publisher | : MIT Press |
| Total Pages | : 165 |
| Release | : 2020-02-18 |
| Genre | : Mathematics |
| ISBN | : 026253892X |
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.
| Author | : Kristopher Tapp |
| Publisher | : Springer Nature |
| Total Pages | : 263 |
| Release | : 2021-08-28 |
| Genre | : Mathematics |
| ISBN | : 3030516695 |
This textbook is perfect for a math course for non-math majors, with the goal of encouraging effective analytical thinking and exposing students to elegant mathematical ideas. It includes many topics commonly found in sampler courses, like Platonic solids, Euler’s formula, irrational numbers, countable sets, permutations, and a proof of the Pythagorean Theorem. All of these topics serve a single compelling goal: understanding the mathematical patterns underlying the symmetry that we observe in the physical world around us. The exposition is engaging, precise and rigorous. The theorems are visually motivated with intuitive proofs appropriate for the intended audience. Students from all majors will enjoy the many beautiful topics herein, and will come to better appreciate the powerful cumulative nature of mathematics as these topics are woven together into a single fascinating story about the ways in which objects can be symmetric.
| Author | : Nancy Allen |
| Publisher | : Carson-Dellosa Publishing |
| Total Pages | : 24 |
| Release | : 2010-08-01 |
| Genre | : Juvenile Nonfiction |
| ISBN | : 1617411558 |
This Math Concept Book Engages Young Readers Through Simple Text And Photos As They Learn About Symmetry.
| Author | : Bernard L. Johnston |
| Publisher | : CRC Press |
| Total Pages | : 276 |
| Release | : 2020-07-25 |
| Genre | : Mathematics |
| ISBN | : 1000153371 |
This textbook presents modern algebra from the ground up using numbers and symmetry. The idea of a ring and of a field are introduced in the context of concrete number systems. Groups arise from considering transformations of simple geometric objects. The analysis of symmetry provides the student with a visual introduction to the central algebraic notion of isomorphism. Designed for a typical one-semester undergraduate course in modern algebra, it provides a gentle introduction to the subject by allowing students to see the ideas at work in accessible examples, rather than plunging them immediately into a sea of formalism. The student is involved at once with interesting algebraic structures, such as the Gaussian integers and the various rings of integers modulo n, and is encouraged to take the time to explore and become familiar with those structures. In terms of classical algebraic structures, the text divides roughly into three parts:
| Author | : Ian Stewart |
| Publisher | : |
| Total Pages | : 306 |
| Release | : 2008-04-29 |
| Genre | : Mathematics |
| ISBN | : 0465082378 |
Physics.
| Author | : Ian Stewart |
| Publisher | : OUP Oxford |
| Total Pages | : 152 |
| Release | : 2013-05-30 |
| Genre | : Mathematics |
| ISBN | : 0191652741 |
In the 1800s mathematicians introduced a formal theory of symmetry: group theory. Now a branch of abstract algebra, this subject first arose in the theory of equations. Symmetry is an immensely important concept in mathematics and throughout the sciences, and its applications range across the entire subject. Symmetry governs the structure of crystals, innumerable types of pattern formation, how systems change their state as parameters vary; and fundamental physics is governed by symmetries in the laws of nature. It is highly visual, with applications that include animal markings, locomotion, evolutionary biology, elastic buckling, waves, the shape of the Earth, and the form of galaxies. In this Very Short Introduction, Ian Stewart demonstrates its deep implications, and shows how it plays a major role in the current search to unify relativity and quantum theory. ABOUT THE SERIES: The Very Short Introductions series from Oxford University Press contains hundreds of titles in almost every subject area. These pocket-sized books are the perfect way to get ahead in a new subject quickly. Our expert authors combine facts, analysis, perspective, new ideas, and enthusiasm to make interesting and challenging topics highly readable.
| Author | : Mark A. Armstrong |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 197 |
| Release | : 2013-03-14 |
| Genre | : Mathematics |
| ISBN | : 1475740344 |
This is a gentle introduction to the vocabulary and many of the highlights of elementary group theory. Written in an informal style, the material is divided into short sections, each of which deals with an important result or a new idea. Includes more than 300 exercises and approximately 60 illustrations.
| Author | : Lynn Peppas |
| Publisher | : Crabtree Publishing Company |
| Total Pages | : 28 |
| Release | : 2010 |
| Genre | : Juvenile Nonfiction |
| ISBN | : 9780778743514 |
Full-color illustrations and easy-to-read text introduce the basic concepts of symmetry, including angles, matches, and horizontal and vertical lines.
