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#### Non-Associative Algebra and Its Applications

Taylor and Francis 2006; US$ 231.00With contributions derived from presentations at an international conference, Non-Associative Algebra and Its Applications explores a wide range of topics focusing on Lie algebras, nonassociative rings and algebras, quasigroups, loops, and related systems as well as applications of nonassociative algebra to geometry, physics, and natural sciences.... more...

#### Mathematics and the Laws of Nature

Infobase Publishing 2004; US$ 40.00Examining the pioneering ideas, works, and applications that have made math the language of science, Mathematics and the Laws of Nature looks at the many ways in which so-called ''pure'' math has been used in the applied sciences. For example, the volume explores how mathematical theories contributed to the development of Kepler's laws of planetary... more...

#### Dualisability

Springer-Verlag New York Inc 2006; US$ 169.00Natural duality theory is one of the major growth areas within general algebra. This text provides a short path to the forefront of research in duality theory. It presents a coherent approach to new results in the area, as well as exposing open problems. Unary algebras play a special role throughout the text. Individual unary algebras are relatively... more...

#### Studies in Lie Theory

Springer 2006; US$ 199.00Dedicated to Anthony Joseph, this volume contains surveys and invited articles by leading specialists in representation theory. The focus here is on semisimple Lie algebras and quantum groups, where the impact of Joseph's work has been seminal and has changed the face of the subject. Two introductory biographical overviews of Joseph's contributions... more...

#### Field Arithmetic

Springer-Verlag Berlin and Heidelberg GmbH & Co. KG 2006; US$ 159.00Field Arithmetic explores Diophantine fields through their absolute Galois groups. This largely self-contained treatment starts with techniques from algebraic geometry, number theory, and profinite groups. Graduate students can effectively learn generalizations of finite field ideas. We use Haar measure on the absolute Galois group to replace counting... more...

#### The Brauer-Hasse-Noether Theorem in Historical Perspective

Springer-Verlag Berlin and Heidelberg GmbH & Co. KG 2006; US$ 39.99The unpublished writings of Helmut Hasse, consisting of letters, manuscripts and other papers, are kept at the Handschriftenabteilung of the University Library at Gottingen. Hasse had an extensive correspondence; he liked to exchange mathematical ideas, results and methods freely with his colleagues. There are more than 8000 documents preserved. Although... more...

#### Lie Algebras and Algebraic Groups

Springer-Verlag Berlin and Heidelberg GmbH & Co. KG 2006; US$ 119.00The theory of Lie algebras and algebraic groups has been an area of active research for the last 50 years. It intervenes in many different areas of mathematics: for example invariant theory, Poisson geometry, harmonic analysis, mathematical physics. The aim of this book is to assemble in a single volume the algebraic aspects of the theory, so as to... more...

#### Solving Polynomial Equations

Springer-Verlag Berlin and Heidelberg GmbH & Co. KG 2006; US$ 129.00Provides an introduction to modern mathematical aspects in computing with multivariate polynomials and in solving algebraic systems. This book presents several symbolic, numeric, and symbolic-numeric techniques, including algorithmic methods in algebraic geometry and computational algebra, complexity issues, and a range of applications. more...

#### Eigenvalues, Inequalities, and Ergodic Theory

Springer 2006; US$ 119.00The first and only book to make this research available in the West Concise and accessible: proofs and other technical matters are kept to a minimum to help the non-specialist Each chapter is self-contained to make the book easy-to-use more...

#### Integral Closure

Springer-Verlag Berlin and Heidelberg GmbH & Co. KG 2006; US$ 179.00Integral Closure gives an account of theoretical and algorithmic developments on the integral closure of algebraic structures. These are shared concerns in commutative algebra, algebraic geometry, number theory and the computational aspects of these fields. The overall goal is to determine and analyze the equations of the assemblages of the set of... more...