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Books

Geometry & Topology


Ordinal Invariants in Topology (Memoirs of the American Mathematical Society)

Lowest used price: $6.19
List price: $24.00
Author: V. Kannan


Topologies and Uniformities (Springer Undergraduate Mathematics Series)

Topologies and Uniformities (Springer Undergraduate Mathematics Series) Lowest new price: $38.12
Lowest used price: $38.00
List price: $44.99
Author: I.M. James
Brand: Brand: Springer

A substantially revised edition of the UTM volume, with a view to making the book far more accessible to undergraduates. It contains a larger number of detailed explanations and exercises, together with fully worked solutions to the essential problems and a new chapter on the historical aspects.

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  • Used Book in Good Condition


Journey into Geometries (Spectrum)

Journey into Geometries (Spectrum) Lowest new price: $36.41
Lowest used price: $2.49
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Author: Marta Sved
Brand: Brand: The Mathematical Association of America

This unique book gives an informal introduction into the non-Euclidean geometries through a series of dialogues between a somewhat grown-up Alice (of Looking Glass fame), her uncle Lewis Carroll, and a visitor from the twentieth century, Dr Whatif. In the story, Lewis Carroll's geometrical beliefs are cast into the Euclidean mould, Dr Whatif asks the penetrating and controversial questions, and Alice acts as a mediator and interested participant. The book is intentionally more mathematical than Lewis Carroll's books, but for those of us who enjoyed Alice's earlier adventures there are many interesting flashbacks to those inimitable characters: the Red Queen, Tweedle-Dum and his twin brother, the Mad Hatter ... The text is filled with humour, wit, and verses of poetry. Part 1 contains the story in six chapters, each of which concludes with a problem set; Part 2 is more mathematical, and looks at the axiom systems, and gives solutions to the problems. The presentation, with its old-time borders, script headings, and cartoon drawings evokes the spirit of the original Alice.

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Exploring Solids and Boxes: 3-D Geometry

Exploring Solids and Boxes: 3-D Geometry Lowest new price: $5.99
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Author: Douglas H. Battis Michael T. & Clements
Brand: Brand: Dale Seymour Publications

Exploring Solids and Boxes: 3-D Geometry

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  • Used Book in Good Condition

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A Hilbert Space Problem Book (Graduate Texts in Mathematics)

A Hilbert Space Problem Book (Graduate Texts in Mathematics) Lowest new price: $49.99
Lowest used price: $31.51
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Author: P.R. Halmos

From the Preface: "This book was written for the active reader. The first part consists of problems, frequently preceded by definitions and motivation, and sometimes followed by corollaries and historical remarks... The second part, a very short one, consists of hints... The third part, the longest, consists of solutions: proofs, answers, or contructions, depending on the nature of the problem....

This is not an introduction to Hilbert space theory. Some knowledge of that subject is a prerequisite: at the very least, a study of the elements of Hilbert space theory should proceed concurrently with the reading of this book."

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Mutational and Morphological Analysis: Tools for Shape Evolution and Morphogenesis (Systems & Control: Foundations & Applications)

Mutational and Morphological Analysis: Tools for Shape Evolution and Morphogenesis (Systems & Control: Foundations & Applications) Lowest new price: $10.43
Lowest used price: $19.55
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Author: Jean-Pierre Aubin
Brand: Brand: Springer

The analysis, processing, evolution, optimization and/or regulation, and control of shapes and images appear naturally in engineering (shape optimization, image processing, visual control), numerical analysis (interval analysis), physics (front propagation), biological morphogenesis, population dynamics (migrations), and dynamic economic theory.  

These problems are currently studied with tools forged out of differential geometry and functional analysis, thus requiring shapes and images to be smooth.  However, shapes and images are basically sets, most often not smooth.  J.-P. Aubin thus constructs another vision, where shapes and images are just any compact set.  Hence their evolution -- which requires a kind of differential calculus -- must be studied in the metric space of compact subsets.  Despite the loss of linearity, one can transfer most of the basic results of differential calculus and differential equations in vector spaces to mutational calculus and mutational equations in any mutational space, including naturally the space of nonempty compact subsets.  

"Mutational and Morphological Analysis" offers a structure that embraces and integrates the various approaches, including shape optimization and mathematical morphology.  

Scientists and graduate students will find here other powerful mathematical tools for studying problems dealing with shapes and images arising in so many fields.

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  • Used Book in Good Condition


Fourier Analysis and Applications: Filtering, Numerical Computation, Wavelets (Texts in Applied Mathematics)

Fourier Analysis and Applications: Filtering, Numerical Computation, Wavelets (Texts in Applied Mathematics) Lowest new price: $80.30
Lowest used price: $41.00
List price: $105.00
Author: Claude Gasquet

The object of this book is two-fold -- on the one hand it conveys to mathematical readers a rigorous presentation and exploration of the important applications of analysis leading to numerical calculations. On the other hand, it presents physics readers with a body of theory in which the well-known formulae find their justification. The basic study of fundamental notions, such as Lebesgue integration and theory of distribution, allow the establishment of the following areas: Fourier analysis and convolution Filters and signal analysis time-frequency analysis (gabor transforms and wavelets). The whole is rounded off with a large number of exercises as well as selected worked-out solutions.

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Lecture Notes on Topoi and Quasitopoi

Lecture Notes on Topoi and Quasitopoi Lowest new price: $278.77
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Author: Oswald Wyler

Quasitopoi generalize topoi, a concept of major importance in the theory of Categoreis, and its applications to Logic and Computer Science. In recent years, quasitopoi have become increasingly important in the diverse areas of Mathematics such as General Topology and Fuzzy Set Theory. These Lecture Notes are the first comprehensive introduction to quasitopoi, and they can serve as a first introduction to topoi as well.


More Mathematical Quilts: No Sewing Required!, Grades 6-12

More Mathematical Quilts: No Sewing Required!, Grades 6-12 Lowest new price: $64.46
Lowest used price: $11.99
List price: $27.12
Author: Diana Venters
Brand: Brand: Key Curriculum Press

Designed to help students improve visualization skills and understanding of geometric relationships, and to help them succeed at geometry-based deductive reasoning

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  • Used Book in Good Condition

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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
Lowest used price: $18.00
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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