Symmetry A Mathematical Exploration

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, count...

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Detalles Bibliográficos
Autor principal: Tapp, Kristopher (-)
Autor Corporativo: SpringerLink (-)
Formato: Libro electrónico
Idioma:Inglés
Publicado: New York, NY : Springer New York 2012.
Colección:Springer eBooks.
Acceso en línea:Conectar con la versión electrónica
Ver en Universidad de Navarra:https://innopac.unav.es/record=b3290955x*spi
Descripción
Sumario: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. Kristopher Tapp is currently a mathematics professor at Saint Joseph's University.  He is the author of 17 research papers and one well-reviewed undergraduate textbook, Matrix Groups for Undergraduates.  He has been awarded two National Science Foundation research grants and several teaching awards.
Descripción Física:XIV, 215 p., 159 il., 152 il. col
Formato:Forma de acceso: World Wide Web.
ISBN:9781461402992