Naive Lie Theory (Undergraduate Texts in Mathematics)

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).

Science & Math

John Stillwell

Mathematics

Springer

From the reviews of the first edition: "[This book] can be described as a collection of critical historical essays dealing with a large variety of mathematical disciplines and issues, and intended for a broad audience¿ we know of no book on mathematics and its history that covers half as much nonstandard material. Even when dealing with standard material, Stillwell manages to dramatize it and to make it worth rethinking. In short, his book is a splendid addition to the genre of works that build royal roads to mathematical culture for the many." (Mathematical Intelligencer) This second edition includes new chapters on Chinese and Indian number theory, on hypercomplex numbers, and on algebraic number theory. Many more exercises have been added, as well as commentary to the exercises explaining how they relate to the preceding section, and how they foreshadow later topics.

Mathematics and Its History (Undergraduate Texts in Mathematics)

This book presents, for the first time in English, the papers of Beltrami, Klein, and Poincaré that brought hyperbolic geometry into the mainstream of mathematics. A recognition of Beltrami comparable to that given the pioneering works of Bolyai and Lobachevsky seems long overdue---not only because Beltrami rescued hyperbolic geometry from oblivion by proving it to be logically consistent, but because he gave it a concrete meaning (a model) that made hyperbolic geometry part of ordinary mathematics. 
The models subsequently discovered by Klein and Poincaré brought hyperbolic geometry even further down to earth and paved the way for the current explosion of activity in low-dimensional geometry and topology. 
By placing the works of these three mathematicians side by side and providing commentaries, this book gives the student, historian, or professional geometer a bird's-eye view of one of the great episodes in mathematics. The unified setting and historical context reveal the insights of Beltrami, Klein, and Poincaré in their full brilliance.

Sources of Hyperbolic Geometry (History of Mathematics, V. 10) (History of Mathematics, 10)

American Mathemataical Society

This book offers a collection of historical essays detailing a large variety of mathematical disciplines and issues; it’s accessible to a broad audience. This second edition includes new chapters on Chinese and Indian number theory, on hypercomplex numbers, and on algebraic number theory. Many more exercises have been added as well as commentary that helps place the exercises in context.

Internal migration serves as one of the key contributing factors to population change involving not only change in the numbers of people, but also a change in composition and structure of local populations. 
 Technologies for Migration and Population Analysis: Spatial Interaction Data Applications addresses the technical and data-related side of studying population flows and provides a selection of substantive case studies and applications to exemplify research currently being carried out. With expert international contributors currently working in the field, this authoritative book allows readers to better understand interaction data and ways knowledge of population flows can be put to use.

Technologies for Migration and Commuting Analysis: Spatial Interaction Data Applications

Business & Money

Economics

Information Science Reference

This text is a concise, self-contained introduction to abstract algebra which stresses its unifying role in geometry and number theory. There is a strong emphasis on historical motivation - both to trace abstract concepts to their concrete roots, but also to show the power of new ideas to solve old problems. This approach shows algebra as an integral part of mathematics and makes this text more informative to both beginners and experts than others. Classical results of geometry and number theory (such as straightedge-and-compass construction and its relation to Fermat primes) are used to motivate and illustrate algebraic techniques, and classical algebra itself (solutions of cubic and quartic equations) is used to motivate the problem of solvability by radicals and its solution via Galois theory. Modern methods are used whenever they are clearer or more efficient, but technical machinery is introduced only when needed.

Elements of Algebra. Geometry, Numbers, Equations (Undergraduate Texts in Mathematics)

Geometry of Surfaces

Springer-Verlag Berlin and Heidelberg GmbH & Co. K

See the best price to sell, buy, or rent books by John Stillwell. BookScouter helps to compare book prices from 25+ online bookstores and 30+ buyback vendors with a single search.

Books by John Stillwell

See the best price to sell, buy, or rent books by John Stillwell. BookScouter helps to compare book prices from 25+ online bookstores and 30+ buyback vendors with a single search.

Naive Lie Theory (Undergraduate Texts in Mathematics)

Mathematics and Its History (Undergraduate Texts in Mathematics)

Sources of Hyperbolic Geometry (History of Mathematics, V. 10) (History of Mathematics, 10)

Mathematics and Its History (Undergraduate Texts in Mathematics)

Technologies for Migration and Commuting Analysis: Spatial Interaction Data Applications

Elements of Algebra. Geometry, Numbers, Equations (Undergraduate Texts in Mathematics)

Geometry of Surfaces