Visual Group Theory

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Release : 2021-06-08
Genre : Education
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Book Rating : 330/5 ( reviews)

Visual Group Theory - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Visual Group Theory write by Nathan Carter. This book was released on 2021-06-08. Visual Group Theory available in PDF, EPUB and Kindle. Recipient of the Mathematical Association of America's Beckenbach Book Prize in 2012! Group theory is the branch of mathematics that studies symmetry, found in crystals, art, architecture, music and many other contexts, but its beauty is lost on students when it is taught in a technical style that is difficult to understand. Visual Group Theory assumes only a high school mathematics background and covers a typical undergraduate course in group theory from a thoroughly visual perspective. The more than 300 illustrations in Visual Group Theory bring groups, subgroups, homomorphisms, products, and quotients into clear view. Every topic and theorem is accompanied with a visual demonstration of its meaning and import, from the basics of groups and subgroups through advanced structural concepts such as semidirect products and Sylow theory.

Symmetry

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Release : 2013-09-03
Genre : Mathematics
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Book Rating : 247/5 ( reviews)

Symmetry - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Symmetry write by R. McWeeny. This book was released on 2013-09-03. Symmetry available in PDF, EPUB and Kindle. Symmetry: An Introduction to Group Theory and its Application is an eight-chapter text that covers the fundamental bases, the development of the theoretical and experimental aspects of the group theory. Chapter 1 deals with the elementary concepts and definitions, while Chapter 2 provides the necessary theory of vector spaces. Chapters 3 and 4 are devoted to an opportunity of actually working with groups and representations until the ideas already introduced are fully assimilated. Chapter 5 looks into the more formal theory of irreducible representations, while Chapter 6 is concerned largely with quadratic forms, illustrated by applications to crystal properties and to molecular vibrations. Chapter 7 surveys the symmetry properties of functions, with special emphasis on the eigenvalue equation in quantum mechanics. Chapter 8 covers more advanced applications, including the detailed analysis of tensor properties and tensor operators. This book is of great value to mathematicians, and math teachers and students.

Beautiful Symmetry

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Release : 2020-02-18
Genre : Mathematics
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Book Rating : 92X/5 ( reviews)

Beautiful Symmetry - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Beautiful Symmetry write by Alex Berke. This book was released on 2020-02-18. Beautiful Symmetry available in PDF, EPUB and Kindle. 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.

Visual Complex Analysis

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Release : 1997
Genre : Mathematics
Kind :
Book Rating : 464/5 ( reviews)

Visual Complex Analysis - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Visual Complex Analysis write by Tristan Needham. This book was released on 1997. Visual Complex Analysis available in PDF, EPUB and Kindle. This radical first course on complex analysis brings a beautiful and powerful subject to life by consistently using geometry (not calculation) as the means of explanation. Aimed at undergraduate students in mathematics, physics, and engineering, the book's intuitive explanations, lack of advanced prerequisites, and consciously user-friendly prose style will help students to master the subject more readily than was previously possible. The key to this is the book's use of new geometric arguments in place of the standard calculational ones. These geometric arguments are communicated with the aid of hundreds of diagrams of a standard seldom encountered in mathematical works. A new approach to a classical topic, this work will be of interest to students in mathematics, physics, and engineering, as well as to professionals in these fields.

A Book of Abstract Algebra

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Release : 2010-01-14
Genre : Mathematics
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Book Rating : 178/5 ( reviews)

A Book of Abstract Algebra - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook A Book of Abstract Algebra write by Charles C Pinter. This book was released on 2010-01-14. A Book of Abstract Algebra available in PDF, EPUB and Kindle. 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.