Groups And Symmetry A Guide To Discovering Mathematics
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Groups And Symmetry A Guide To Discovering Mathematics
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Author : D.W. Farmer
language : en
Publisher: Universities Press
Release Date :
Groups And Symmetry A Guide To Discovering Mathematics written by D.W. Farmer and has been published by Universities Press this book supported file pdf, txt, epub, kindle and other format this book has been release on with categories.
The subject studied here is the mathematics behind the idea of symmetry, but the methods and ideas apply to all of mathematics. The only prerequisites are enthusiasm and a knowledge of basic high-school maths.
Groups And Symmetry A Guide To Discovering Mathematics
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Author : David W. Farmer
language : en
Publisher: American Mathematical Soc.
Release Date : 1996
Groups And Symmetry A Guide To Discovering Mathematics written by David W. Farmer and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996 with Mathematics categories.
Mathematics is discovered by looking at examples, noticing patterns, making conjectures, and testing those conjectures. Once discovered, the final results get organized and put in textbooks. The details and the excitement of the discovery are lost. This book introduces the reader to the excitement of the original discovery. By means of a wide variety of tasks, readers are led to find interesting examples, notice patterns, devise rules to explain the patterns, and discover mathematics for themselves. The subject studied here is the mathematics behind the idea of symmetry, but the methods and ideas apply to all of mathematics. The only prerequisites are enthusiasm and a knowledge of basic high-school math. The book is only a guide. It will start you off in the right direction and bring you back if you stray too far. The excitement and the discovery are left to you.
Doing The Scholarship Of Teaching And Learning In Mathematics
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Author : Jacqueline M. Dewar
language : en
Publisher: The Mathematical Association of America
Release Date : 2014-11-03
Doing The Scholarship Of Teaching And Learning In Mathematics written by Jacqueline M. Dewar and has been published by The Mathematical Association of America this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-11-03 with Mathematics categories.
The Scholarship of Teaching and Learning (SoTL) movement encourages faculty to view teaching “problems” as invitations to conduct scholarly investigations. In this growing field of inquiry faculty bring their disciplinary knowledge and teaching experience to bear on questions of teaching and learning. They systematically gather evidence to develop and support their conclusions. The results are to be peer reviewed and made public for others to build on. This Notes volume is written expressly for collegiate mathematics faculty who want to know more about conducting scholarly investigations into their teaching and their students’ learning. Envisioned and edited by two mathematics faculty, the volume serves as a how-to guide for doing SoTL in mathematics.
Point Groups Space Groups Crystals Molecules
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Author : Ronald Mirman
language : en
Publisher: World Scientific Publishing Company
Release Date : 1999-05-14
Point Groups Space Groups Crystals Molecules written by Ronald Mirman and has been published by World Scientific Publishing Company this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999-05-14 with Science categories.
This book is by far the most comprehensive treatment of point and space groups, and their meaning and applications. Its completeness makes it especially useful as a text, since it gives the instructor the flexibility to best fit the class and goals. The instructor, not the author, decides what is in the course. And it is the prime book for reference, as material is much more likely to be found in it than in any other book; it also provides detailed guides to other sources.Much of what is taught is folklore, things everyone knows are true, but (almost?) no one knows why, or has seen proofs, justifications, rationales or explanations. (Why are there 14 Bravais lattices, and why these? Are the reasons geometrical, conventional or both? What determines the Wigner-Seitz cells? How do they affect the number of Bravais lattices? Why are symmetry groups relevant to molecules whose vibrations make them unsymmetrical? And so on). Here these analyses are given, interrelated, and in-depth. The understanding so obtained gives a strong foundation for application and extension. Assumptions and restrictions are not merely made explicit, but also emphasized.In order to provide so much information, details and examples, and ways of helping readers learn and understand, the book contains many topics found nowhere else, or only in obscure articles from the distant past. The treatment is (often completely) different from those elsewhere. At least in the explanations, and usually in many other ways, the book is completely new and fresh. It is designed to inform, educate and make the reader think. It strongly emphasizes understanding.The book can be used at many levels, by many different classes of readers — from those who merely want brief explanations (perhaps just of terminology), who just want to skim, to those who wish the most thorough understanding. remove remove
Lie Groups
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Author : Harriet Pollatsek
language : en
Publisher: American Mathematical Society
Release Date : 2024-11-15
Lie Groups written by Harriet Pollatsek and has been published by American Mathematical Society this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-11-15 with Mathematics categories.
This textbook is a complete introduction to Lie groups for undergraduate students. The only prerequisites are multi-variable calculus and linear algebra. The emphasis is placed on the algebraic ideas, with just enough analysis to define the tangent space and the differential and to make sense of the exponential map. This textbook works on the principle that students learn best when they are actively engaged. To this end nearly 200 problems are included in the text, ranging from the routine to the challenging level. Every chapter has a section called ?Putting the pieces together? in which all definitions and results are collected for reference and further reading is suggested.
Knots And Surfaces
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Author : David W. Farmer
language : en
Publisher: American Mathematical Soc.
Release Date : 1996
Knots And Surfaces written by David W. Farmer and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996 with Mathematics categories.
In most mathematics textbooks, the most exciting part of mathematics - the process of invention and discovery - is completely hidden from the student. The aim of Knots and Surfaces is to change all that. Knots and Surfaces guides the reader through Euler's formula, one and two-sided surfaces, and knot theory using games and examples. By means of a series of carefully selected tasks, this book leads the reader on to discover some real mathematics. There are no formulas to memorize; no procedures to follow. This book is a guide to the mathematics - it starts you in the right direction and brings you back if you stray too far. Discovery is left to you. This book is aimed at undergraduates and those with little background knowledge of mathematics.
Mathematics Old And New
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Author : Saul Stahl
language : en
Publisher: Courier Dover Publications
Release Date : 2017-07-24
Mathematics Old And New written by Saul Stahl and has been published by Courier Dover Publications this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-07-24 with Mathematics categories.
Introductory treatment for undergraduates provides insightful expositions of specific applications of mathematics and elements of mathematical history and culture. Topics include probability, statistics, voting systems game theory, geometry, Egyptian arithmetic, and more. 2016 edition.
Ep 98
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Author : Roger Hersch
language : en
Publisher: Springer Science & Business Media
Release Date : 1998-03-18
Ep 98 written by Roger Hersch and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998-03-18 with Art categories.
This book presents the refereed proceedings of the EP'98 and RIDT'98 conferences, held jointly during the Second International Week on Electronic Publishing and Typography in St. Malo, France, in March/April 1998. The 43 revised full papers presented were carefully selected for inclusion in the book. Among the topics covered are artistic imaging, tools and methods in typography, non-latin type, typographic creation, imaging, character recognition, handwriting models, legibility and design issues, fonts and design, time and multimedia, electronic and paper documents, document engineering, documents and linguistics, document reuse, hypertext and the Web, and hypertext creation and management.
Symmetry Rules
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Author : Joseph Rosen
language : en
Publisher: Springer Science & Business Media
Release Date : 2008-02-20
Symmetry Rules written by Joseph Rosen and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-02-20 with Science categories.
When we use science to describe and understand the world around us, we are in essence grasping nature through symmetry. Emphasizing the concepts, this book leads the reader coherently and comprehensively into the fertile field of symmetry and its applications. Among the most important applications considered are the fundamental forces of nature and the Universe. Written by a renowned expert, this book will convince all interested readers of the importance of symmetry in science.
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Author :
language : en
Publisher: IAP
Release Date :
written by and has been published by IAP this book supported file pdf, txt, epub, kindle and other format this book has been release on with categories.