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Naive Lie Theory (Undergraduate Texts in Mathematics) de John Stillwell

Descripción - Críticas From the reviews:“An excellent read. In just 200 pages the author explains what Lie groups and algebras actually are. … An undergraduate who has taken the calculus series, had a course in linear algebra that discusses matrices, has some knowledge of complex variables and some understanding of group theory should easily follow the material to this point. … the best book to get you going.” (Philosophy, Religion and Science Book Reviews, bookinspections.wordpress.com, July, 2013)“There are several aspects of Stillwell’s book that I particularly appreciate. He keeps the sections very short and straightforward, with a few exercises at the end of each to cement understanding. The theory is built up in small bites. He develops an intuition for what is happening by starting with very simple examples and building toward more complicated groups. … In short, if you want to teach an undergraduate course on Lie theory, I recommend Stillwell.”(David Bressoud, The UMAP Journal, Vol. 31 (4), 2010)'Lie theory, basically the study of continuous symmetry, certainly occupies a central position in modern mathematics … . In Naive Lie Theory, Stillwell (Univ. of San Franciso) concentrates on the simplest examples and stops short of representation theory … . Summing Up: Recommended. Upper-division undergraduates and graduate students.' (D. V. Feldman, Choice, Vol. 46 (9), May, 2009)'This book provides an introduction to Lie groups and Lie algebras suitable for undergraduates having no more background than calculus and linear algebra. … Each chapter concludes with a lively and informative account of the history behind the mathematics in it. The author writes in a clear and engaging style … . The book is a welcome addition to the literature in representation theory.' (William M. McGovern, Mathematical Reviews, Issue 2009 g)'This is a beautifully clear exposition of the main points of Lie theory, aimed at undergraduates who have … calculus and linear algebra. … The book is well equipped with examples … . The book has a very strong geometric flavor, both in the use of rotation groups and in the connection between Lie algebras and Lie groups.' (Allen Stenger, The Mathematical Association of America, October, 2008) Reseña del editor In this new textbook, acclaimed author John Stillwell presents a lucid introduction to Lie theory suitable for junior and senior level undergraduates. In order to achieve this, he focuses on the so-called 'classical groups'' that capture the symmetries of real, complex, and quaternion spaces. These symmetry groups may be represented by matrices, which allows them to be studied by elementary methods from calculus and linear algebra. This naive approach to Lie theory is originally due to von Neumann, and it is now possible to streamline it by using standard results of undergraduate mathematics. To compensate for the limitations of the naive approach, end of chapter discussions introduce important results beyond those proved in the book, as part of an informal sketch of Lie theory and its history. John Stillwell is Professor of Mathematics at the University of San Francisco. He is the author of several highly regarded books published by Springer, including The Four Pillars of Geometry (2005), Elements of Number Theory (2003), Mathematics and Its History (Second Edition, 2002), Numbers and Geometry (1998) and Elements of Algebra (1994). Contraportada In this new textbook, acclaimed author John Stillwell presents a lucid introduction to Lie theory suitable for junior and senior level undergraduates. In order to achieve this, he focuses on the so-called 'classical groups'' that capture the symmetries of real, complex, and quaternion spaces. These symmetry groups may be represented by matrices, which allows them to be studied by elementary methods from calculus and linear algebra. This naive approach to Lie theory is originally due to von Neumann, and it is now possible to streamline it by using standard results of undergraduate mathematics. To compensate for the limitations of the naive approach, end of chapter discussions introduce important results beyond those proved in the book, as part of an informal sketch of Lie theory and its history. John Stillwell is Professor of Mathematics at the University of San Francisco. He is the author of several highly regarded books published by Springer, including The Four Pillars of Geometry (2005), Elements of Number Theory (2003), Mathematics and Its History (Second Edition, 2002), Numbers and Geometry (1998) and Elements of Algebra (1994).

Introduction to lie algebras and representation theory v buy introduction to lie algebras and representation theory v 9 graduate texts in mathematics 7 by humphreys, james e, humphreys, j e isbn 0000387900535 from s book store everyday low prices and free delivery on eligible orders Mathematics library naive lie theory 2008 edition by john this naive approach to lie theory is originally due to von neumann, and it is now possible to streamline it by using standard results of undergraduate mathematics to compensate for the limitations of the naive approach, end of chapter discussions introduce important results beyond those proved in the book, as part of an informal sketch of lie theory and its history Naive lie theory undergraduate texts in mathematics this naive approach to lie theory is originally due to von neumann, and it is now possible to streamline it by using standard results of undergraduate mathematics to compensate for the limitations of the naive approach, end of chapter discussions introduce important results beyond those proved in the book, as part of an informal sketch of lie theory and its history

Lie theory wikipedia in mathematics, the researcher sophus lie ˈ l iː lee initiated lines of study involving integration of differential equations, transformation groups, and contact of spheres that have come to be called lie theory for instance, the latter subject is lie sphere geometrythis article addresses his approach to transformation groups, which is one of the areas of mathematics, and was worked Naive lie theory stillwell, john mx libros even with these modest prerequisites, the author manages to do much with lie theory this is a jewel of a book, much like its spiritual predecessor, halmoss naive set theory undergraduate texts in mathematics so, this book is accessible, well written and useful what more could you ask for in an introduction Buy introduction to lie algebras and representation theory in buy introduction to lie algebras and representation theory graduate texts in mathematics book online at best prices in india on in read introduction to lie algebras and representation theory graduate texts in mathematics book reviews amp author details and more at in free delivery on qualified orders

Detalles del Libro

• Name: Naive Lie Theory (Undergraduate Texts in Mathematics)
  
• Autor: John Stillwell
  
• Categoria: Libros,Ciencias, tecnología y medicina,Matemáticas
  
• Tamaño del archivo: 13 MB
  
• Tipos de archivo: PDF Document
  
• Idioma: Español
  
• Archivos de estado: AVAILABLE
  

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Introduction to lie algebras springer undergraduate introduction to lie algebras covers the core material required for almost all other work in lie theory and provides a selfstudy guide suitable for undergraduate students in their final year and graduate students and researchers in mathematics and theoretical physics Naive lie theory undergraduate texts in mathematics buy naive lie theory undergraduate texts in mathematics 2008 by stillwell, john isbn 9788132203995 from s book store everyday low prices and free delivery on eligible orders Naive lie theory undergraduate texts in mathematics 2008 naive lie theory undergraduate texts in mathematics kindle edition by stillwell, john download it once and read it on your kindle device, pc, phones or tablets use features like bookmarks, note taking and highlighting while reading naive lie theory undergraduate texts in mathematics