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#### Introduction to Singularities

Springer Japan 2014; US$ 69.99This book is an introduction to singularities for graduate students and researchers. It is said that algebraic geometry originated in the seventeenth century with the famous work Discours de la méthode pour bien conduire sa raison, et chercher la vérité dans les sciences by Descartes. In that book he introduced coordinates to the study of geometry.... more...

#### Commutative Algebra

Springer New York 2014; US$ 129.00This volume presents a multi-dimensional collection of articles highlighting recent developments in commutative algebra. It also includes an extensive bibliography and lists a substantial number of open problems that point to future directions of research in the represented subfields. The contributions cover areas in commutative algebra that have... more...

#### The Separable Galois Theory of Commutative Rings, Second Edition

CRC Press 2014; US$ 137.95The Separable Galois Theory of Commutative Rings, Second Edition provides a complete and self-contained account of the Galois theory of commutative rings from the viewpoint of categorical classification theorems and using solely the techniques of commutative algebra. Along with updating nearly every result and explanation, this edition contains... more...

#### Lecture Notes on Local Rings

World Scientific Publishing Company 2014; US$ 62.00The content in Chapter 1–3 is a fairly standard one–semester course on local rings with the goal to reach the fact that a regular local ring is a unique factorization domain. The homological machinery is also supported by Cohen–Macaulay rings and depth. In Chapters 4–6 the methods of injective modules, Matlis duality and... more...

#### Connections Between Algebra, Combinatorics, and Geometry

Springer New York 2014; US$ 129.00Commutative algebra, combinatorics, and algebraic geometry are thriving areas of mathematical research with a rich history of interaction. Connections Between Algebra and Geometry contains lecture notes, along with exercises and solutions, from the Workshop on Connections Between Algebra and Geometry held at the University of Regina from May 29-June... more...

#### Gröbner Bases

Springer Japan 2014; US$ 129.00This useful, focused publication discusses the theoretical, practical, and computational aspects of Gröbner bases, providing information on how to use various software packages in a format readily accessible to graduate students with no specialist knowledge. more...

#### Basic Modern Algebra with Applications

Springer India 2013; US$ 79.99In addition to the group, ring and module theory usually found in a standard modern algebra text, this book discusses group theory, semigroups, groups, topological groups and Lie groups, factorization theory, Noetherian and Artinian rings and more. more...

#### Harmonic and Complex Analysis and its Applications

Springer International Publishing 2013; US$ 169.00This volume highlights the main results of the research performed within the network ?Harmonic and Complex Analysis and its Applications? (HCAA), which was a five-year (2007?2012) European Science Foundation Programme intended to explore and to strengthen the bridge between two scientific communities: analysts with broad backgrounds in complex and... more...

#### Rational Homotopy Theory and Differential Forms

Springer New York 2013; US$ 109.00This completely revised and corrected version of the well-known Florence notes circulated by the authors together with E. Friedlander examines basic topology, emphasizing homotopy theory. Included is a discussion of Postnikov towers and rational homotopy theory. This is then followed by an in-depth look at differential forms and de Tham?s theorem... more...

#### Commutative Algebra

Springer New York 2013; US$ 179.00This volume covers a very wide range of topics, including core areas in commutative algebra and also relations to algebraic geometry, algebraic combinatorics, hyperplane arrangements, homological algebra, and string theory. more...