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Geometry & Topology


Topological Graph Theory (Wiley Series in Discrete Mathematics and Optimization)

Topological Graph Theory (Wiley Series in Discrete Mathematics and Optimization) Lowest new price: $102.73
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List price: $164.00
Author: Jonathan L. Gross

This definitive treatment written by well-known experts emphasizes graph imbedding while providing thorough coverage of the connections between topological graph theory and other areas of mathematics: spaces, finite groups, combinatorial algorithms, graphical enumeration, and block design. Almost every result of studies in this field is covered, including most proofs and methods. Its numerous examples and clear presentation simplify conceptually difficult material, making the text accessible to students as well as researchers. Includes an extensive list of references to current literature.

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Dinosaur Shapes

Dinosaur Shapes Lowest new price: $14.99
Lowest used price: $4.99
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Author: Paul Stickland
Brand: Sterling Publishing

Who is on the biggest square? How many circles are there? How many sides does a rectangle have? Toddlers will love learning about shapes with the cutest, friendliest dinosaur family ever! The colorful creatures put on a happy show as they play with everything from triangles to ovals, diamonds, and stars.

Each spread features the labeled shape on the left side, and the dinos interacting with it on the right—along with a fun question about each one. 

 

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Stable Groups (Mathematical Surveys & Monographs)

Stable Groups (Mathematical Surveys & Monographs) Lowest new price: $56.01
Lowest used price: $40.00
List price: $60.00
Author: Bruno Poizat
Brand: Brand: American Mathematical Society

This is the English translation of the book originally published in 1987. It is a faithful reproduction of the original, supplemented by a new Foreword and brought up to date by a short postscript. The book gives an introduction by a specialist in contemporary mathematical logic to the model-theoretic study of groups, i.e., into what can be said about groups, and for that matter, about all the traditional algebraic objects. The author introduces the groups of finite Morley rank (those satisfying the most restrictive assumptions from the point of view of logic), and highlights their resemblance to algebraic groups, of which they are the prototypes. (All the necessary prerequisites from algebraic geometry are included in the book.) Then, whenever possible, generalizations of properties of groups of finite Morley type to broader classes of superstables and stable groups are described. The exposition in the first four chapters can be understood by mathematicians who have some knowledge of logic (model theory). The last three chapters are intended for specialists in mathematical logic.

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  • Used Book in Good Condition


Analytic Geometry Student Solutions Manual

Analytic Geometry Student Solutions Manual Lowest new price: $307.87
Lowest used price: $2.50
Author: U
Brand: Brand: Breton Pub Co

Book by U

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  • Used Book in Good Condition


The Geometry of Four-Manifolds (Oxford Mathematical Monographs)

The Geometry of Four-Manifolds (Oxford Mathematical Monographs) Lowest new price: $149.81
Lowest used price: $63.56
List price: $90.00
Author: S. K. Donaldson

The last ten years have seen rapid advances in the understanding of differentiable four-manifolds, not least of which has been the discovery of new 'exotic' manifolds. These results have had far-reaching consequences in geometry, topology, and mathematical physics, and have proven to be a mainspring of current mathematical research. This book provides a lucid and accessible account of the modern study of the geometry of four-manifolds. Consequently, it will be required reading for all those mathematicians and theoretical physicists whose research touches on this topic. The authors present both a thorough treatment of the main lines of these developments in four-manifold topology--notably the definition of new invariants of four-manifolds--and also a wide-ranging treatment of relevant topics from geometry and global analysis. All of the main theorems about Yang-Mills instantons on four-manifolds are proven in detail. On the geometric side, the book contains a new proof of the classification of instantons on the four-sphere, together with an extensive discussion of the differential geometry of holomorphic vector bundles. At the end of the book the different strands of the theory are brought together in the proofs of results which settle long-standing problems in four-manifolds topology and which are close to the frontiers of current research. Co-author Donaldson is the 1994 co-recipient of the prestigious Crafoord Prize.


Seifert and Threlfall: A Textbook of Topology

Seifert and Threlfall: A Textbook of Topology Lowest new price: $187.58
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Author: H. Seifert

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Trans Mast Geometry Jacobs

Trans Mast Geometry Jacobs Lowest new price: $257.20
Lowest used price: $26.00
Author: Harold R. Jacobs

This is the book for making transparencies to go along with the Jacob's geometry 7th printing, 2nd edition, ISBN #071671745X student text.


Asymptotics and Mellin-Barnes Integrals (Encyclopedia of Mathematics and its Applications)

Asymptotics and Mellin-Barnes Integrals (Encyclopedia of Mathematics and its Applications) Lowest new price: $104.00
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Author: R. B. Paris
Brand: Brand: Cambridge University Press

Asymptotics and Mellin-Barnes Integrals provides an account of the use and properties of a type of complex integral representation that arises frequently in the study of special functions typically of interest in classical analysis and mathematical physics. After developing the properties of these integrals, their use in determining the asymptotic behavior of special functions is detailed. Although such integrals have a long history, the book's account includes recent research results in analytic number theory and hyperasymptotics. The book also fills a gap in the literature on asymptotic analysis and special functions by providing a thorough account of the use of Mellin-Barnes integrals that is otherwise not available in standard references on asymptotics.

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Recurrence and Topology (Graduate Studies in Mathematics)

Recurrence and Topology (Graduate Studies in Mathematics) Lowest new price: $49.00
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Author: John M. Alongi and Gail S. Nelson
Brand: Brand: American Mathematical Society

Since at least the time of Poisson, mathematicians have pondered the notion of recurrence for differential equations. Solutions that exhibit recurrent behavior provide insight into the behavior of general solutions. In Recurrence and Topology, Alongi and Nelson provide a modern understanding of the subject, using the language and tools of dynamical systems and topology. Recurrence and Topology develops increasingly more general topological modes of recurrence for dynamical systems beginning with fixed points and concluding with chain recurrent points. For each type of recurrence the text provides detailed examples arising from explicit systems of differential equations; it establishes the general topological properties of the set of recurrent points; and it investigates the possibility of partitioning the set of recurrent points into subsets which are dynamically irreducible. The text includes a discussion of real-valued functions that reflect the structure of the sets of recurrent points and concludes with a thorough treatment of the Fundamental Theorem of Dynamical Systems. Recurrence and Topology is appropriate for mathematics graduate students, though a well-prepared undergraduate might read most of the text with great benefit.

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  • Used Book in Good Condition


The Classification of Knots and 3-Dimensional Spaces (Oxford Science Publications)

The Classification of Knots and 3-Dimensional Spaces (Oxford Science Publications) Lowest new price: $53.68
Lowest used price: $23.98
List price: $125.00
Author: Geoffrey Hemion

Knot theory has recently emerged as a productive field of study in both the physical and mathematical sciences. This book is concerned with the fundamental question of the classification of knots, and more generally the classification of arbitrary (compact) topological objects which can occur in the normal space of physical reality. The author explains his classification algorithm--using the method of normal surfaces--in a simple and concise way. The reader is thus shown the relevance of such traditional mathematical objects as the Klein bottle or the hyperbolic plane to this basic classification theory. The Classification of Knots and 3-Dimensional Spaces will be of interest to mathematicians, physicists, and other scientists who want to apply this algorithm to their research in knot theory.


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