Symmetry: A Mathematical Exploration by Kristopher Tapp (English) Hardcover Book

Description: FREE SHIPPING UK WIDE Symmetry by Kristopher Tapp By developing mathematical language to describe symmetry, this textbook equips readers to explore symmetries with precision, illuminating commonalities across art and science.Beginning with an exploration of intuitive notions of symmetry, the author introduces the algebraic structure of groups by examining rotations and reflections. FORMAT Hardcover LANGUAGE English CONDITION Brand New Publisher Description This textbook invites readers to explore the properties of objects that we effortlessly recognize as symmetrical. From the human body, to elaborate artworks and abstract networks, symmetry is ubiquitous in the world around us; it is essential to function and beauty across the built and natural world. By developing mathematical language to describe symmetry, this textbook equips readers to explore symmetries with precision, illuminating commonalities across art and science.Beginning with an exploration of intuitive notions of symmetry, the author introduces the algebraic structure of groups by examining rotations and reflections. Topics that follow include the classification of two-dimensional patterns, the Platonic solids, and a study of real and prime numbers. This second edition features numerous new examples and exercises, "Elements of Mathematics" sections that more closely examine mathematical tools, and optional content that offers opportunities for extension. Figures are woven into the presentation throughout, with many illustrations now offered in motion as integrated video content.Symmetry suits a wide audience, demanding no mathematical training past high school basics, yet stretching the imagination of math and non-math majors alike. Its engaging yet rigorous style offers a window into mathematicians ways of thinking. By developing mathematical reasoning skills in a spatial context, this text is ideal for a course that meets quantitative requirements for non-STEM majors. Instructors will appreciate the authors comprehensive online resources, which include a full set of animated lecture slides; all readers will delight in watching the books content come alive using the multimedia app. Back Cover This textbook invites readers to explore the properties of objects that we effortlessly recognize as symmetrical. From the human body, to elaborate artworks and abstract networks, symmetry is ubiquitous in the world around us; it is essential to function and beauty across the built and natural world. By developing mathematical language to describe symmetry, this textbook equips readers to explore symmetries with precision, illuminating commonalities across art and science. Beginning with an exploration of intuitive notions of symmetry, the author introduces the algebraic structure of groups by examining rotations and reflections. Topics that follow include the classification of two-dimensional patterns, the Platonic solids, and a study of real and prime numbers. This second edition features numerous new examples and exercises, "Elements of Mathematics" sections that more closely examine mathematical tools, and optional content that offers opportunities for extension. Figures are woven into the presentation throughout, with many illustrations now offered in motion as integrated video content. Symmetry suits a wide audience, demanding no mathematical training past high school basics, yet stretching the imagination of math and non-math majors alike. Its engaging yet rigorous style offers a window into mathematicians ways of thinking. By developing mathematical reasoning skills in a spatial context, this text is ideal for a course that meets quantitative requirements for non-STEM majors. Instructors will appreciate the authors comprehensive online resources, which include a full set of animated lecture slides; all readers will delight in watching the books content come alive using the multimedia app. Author Biography Kristopher Tapp is Professor of Mathematics at Saint Josephs University in Philadelphia. The recipient of numerous teaching awards, he is particularly interested in communicating ideas from mathematics to students in other fields. His research extends from differential geometry to the mathematical study of gerrymandering. Previous books include Differential Geometry of Curves and Surfaces, which appears in Undergraduate Texts in Mathematics. Table of Contents Preface.- 1. Introduction to Symmetry.- 2. The Algebra of Symmetry.- 3. The Classification Theorems.- 4. Isomorphic Groups.- 5. Subgroups & Product Groups.- 6. Permutation Groups.- 7. Symmetries of 3D Objects.- 8. The Five Platonic Solids.- 9. Symmetry and Optimization.- 10. What is a Number?.- 11. Excursions in Numbers.- 12. Rigid Motions as Functions.- 13. Rigid Motions as Matrices.- Image Credits.- Index. Review "This book has much to recommend it. The material is presented clearly and enthusiastically … . there are a lot of well-chosen exercises, ranging from very easy to more challenging. … this is a well-written book, covering interesting material, that can serve a number of possible audiences. … many math majors will never have seen many of the topics discussed in this book … technical details by the instructor, serve as a useful text for a capstone course for majors." (Mark Hunacek MAA Reviews, November 14, 2021) Long Description 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, Eulers 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. Feature Stretches the imagination of math and non-math majors alike by exploring symmetry across the built and natural world Supports instructors with a complete set of animated lecture slides prepared by the author Offers an appealing spatial approach to meeting quantitative requirements for non-STEM majors Brings countless illustrations to life using the Springer Nature "More Media" app Details ISBN3030516687 Author Kristopher Tapp Short Title Symmetry Language English Edition 2nd ISBN-10 3030516687 ISBN-13 9783030516680 Format Hardcover Subtitle A Mathematical Exploration DEWEY 516.1 DOI 10.1007/978-3-030-51669-7 Year 2021 Place of Publication Cham Country of Publication Switzerland Pages 259 Publication Date 2021-08-29 UK Release Date 2021-08-29 Edited by Carmelo Maria Torre Birth 1927 Death 1973 Affiliation Massachusetts Institute of Technology Position journalist Qualifications S. J. Publisher Springer Nature Switzerland AG Edition Description 2nd ed. 2021 Series Texts for Quantitative Critical Thinking Imprint Springer Nature Switzerland AG Replaces 9781461402985 Alternative 9783030516710 Audience Professional & Vocational Illustrations 289 Illustrations, color; 11 Illustrations, black and white; XII, 259 p. 300 illus., 289 illus. in color. We've got this At The Nile, if you're looking for it, we've got it. With fast shipping, low prices, friendly service and well over a million items - you're bound to find what you want, at a price you'll love! 30 DAY RETURN POLICY No questions asked, 30 day returns! FREE DELIVERY No matter where you are in the UK, delivery is free. SECURE PAYMENT Peace of mind by paying through PayPal and eBay Buyer Protection TheNile_Item_ID:133181985;

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