Tag: Symmetry

January 30, 2024

Transformation Geometry An Introduction to Symmetry

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Free Download Transformation Geometry: An Introduction to Symmetry by George E. Martin
English | PDF | 1982 | 251 Pages | ISBN : 0387906363 | 29.7 MB
Transformation geometry is a relatively recent expression of the successful venture of bringing together geometry and algebra. The name describes an approach as much as the content. Our subject is Euclidean geometry. Essential to the study of the plane or any mathematical system is an under standing of the transformations on that system that preserve designated features of the system. Our study of the automorphisms of the plane and of space is based on only the most elementary high-school geometry. In particular, group theory is not a prerequisite here. On the contrary, this modern approach to Euclidean geometry gives the concrete examples that are necessary to appreciate an introduction to group theory. Therefore, a course based on this text is an excellent prerequisite to the standard course in abstract algebra taken by every undergraduate mathematics major. An advantage of having nb college mathematics prerequisite to our study is that the text is then useful for graduate mathematics courses designed for secondary teachers. Many of the students in these classes either have never taken linear algebra or else have taken it too long ago to recall even the basic ideas. It turns out that very little is lost here by not assuming linear algebra. A preliminary version of the text was written for and used in two courses-one was a graduate course for teachers and the other a sophomore course designed for the prospective teacher and the general mathematics major taking one course in geometry.

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January 30, 2024

Bifurcation, Symmetry and Patterns

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Free Download Bifurcation, Symmetry and Patterns by Jorge Buescu, Sofia B. S. D. Castro, Ana Paula Silva Dias, Isabel Salgado Labouriau
English | PDF | 2003 | 215 Pages | ISBN : 3764370203 | 20 MB
This book represents the latest developments on both the theory and applications of bifurcations with symmetry. It includes recent experimental work as well as new approaches to and applications of the theory to other sciences. It shows the range of dissemination of the work of Martin Golubitsky and Ian Stewart and its influence in modern mathematics at the same time as it contains work of young mathematicians in new directions. The range of topics includes mathematical biology, pattern formation, ergodic theory, normal forms, one-dimensional dynamics and symmetric dynamics.

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January 15, 2024

Number, Shape, & Symmetry An Introduction to Number Theory, Geometry, and Group Theory

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Free Download Number, Shape, & Symmetry: An Introduction to Number Theory, Geometry, and Group Theory by Diane L. Herrmann, Paul J. Sally
English | 2012 | ISBN: 1466554649 | 444 Pages | PDF | 12.5 MB
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.

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January 15, 2024

Symmetry in Science An Introduction to the General Theory

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Free Download Symmetry in Science: An Introduction to the General Theory by Joseph Rosen
English | PDF | 1995 | 223 Pages | ISBN : N/A | 18.5 MB
Symmetry plays an essential role in science – not only in crystallography and quantum theory, where its role has long been explicitly recognized, but also in condensed-matter physics, thermodynamics, chemistry, biology, and others. This text discusses the concept of symmetry and its application to many areas of science. While it includes a detailed introduction to the theory of groups, which forms the mathematical apparatus for describing symmetries, it also includes a much more general discussion of the nature of symmetry and its role in science. Many problems serve to sharpen the reader’s understanding, and an extensive bibliography concludes the book.

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January 8, 2024

Explicit Symmetry Breaking in Electrodynamic Systems and Electromagnetic Radiation

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Free Download Explicit Symmetry Breaking in Electrodynamic Systems and Electromagnetic Radiation by Dhiraj Sinha
English | November 30, 2022 | ISBN: 0750351306 | 140 pages | MOBI | 6.60 Mb
This second edition expands on the introduction to the concept of symmetries in electromagnetism and explicit symmetry breaking. It addresses some of the recent developments in the field of radiation from magneto-electric materials and ferroelectric materials and correlate them to the nature of symmetries in physical systems.

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