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Geometry & Topology


Helaman Ferguson: Mathematics in Stone and Bronze

Helaman Ferguson: Mathematics in Stone and Bronze Lowest new price: $46.99
Lowest used price: $6.94
List price: $29.95
Author: Claire Ferguson
Brand: Brand: Meridian Creative Group

Helaman Ferguson is a sculptor who works in stone and bronze. He also holds a Ph.D. in mathematics. Although Helamans sculptures are mathematically-based, they are organic, textural, and mysterious. This dramatically photographed book has won several awards including an OZZIE and a National Gold Ink Award.

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  • Used Book in Good Condition


Complex Analysis (Cambridge Studies in Advanced Mathematics)

Complex Analysis (Cambridge Studies in Advanced Mathematics) Lowest new price: $109.17
Lowest used price: $50.00
List price: $121.00
Author: Kunihiko Kodaira
Brand: Brand: Cambridge University Press

This textbook is an introduction to the classical theory of functions of a complex variable. The author's aim is to explain the basic theory in an easy to understand and careful way. He emphasizes geometrical considerations, and, to avoid topological difficulties associated with complex analysis, begins by deriving Cauchy's integral formula in a topologically simple case and then deduces the basic properties of continuous and differentiable functions. The remainder of the book deals with conformal mappings, analytic continuation, Riemann's mapping theorem, Riemann surfaces and analytic functions on a Riemann surface. The book is profusely illustrated and includes many examples. Problems are collected together at the end of the book. It should be an ideal text for either a first course in complex analysis or more advanced study.

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  • Used Book in Good Condition


Stable Groups (Mathematical Surveys & Monographs)

Stable Groups (Mathematical Surveys & Monographs) Lowest new price: $56.01
Lowest used price: $16.41
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


Fractals, Graphics, and Mathematics Education (Mathematical Association of America Notes)

Fractals, Graphics, and Mathematics Education (Mathematical Association of America Notes) Lowest new price: $42.61
Lowest used price: $13.00
List price: $49.95
Author: Benoit Mandelbrot
Brand: Brand: The Mathematical Association of America

Fractal Geometry is a recent edition to the collection of mathematical tools for describing nature, and is the first to focus on roughness. Fractal geometry also appears in art, music and literature, most often without being consciously included by the artist. Consequently, through this we may uncover connections between the arts and sciences, uncommon for students to see in maths and science classes. This book will appeal to teachers who have wanted to include fractals in their mathematics and science classes, to scientists familiar with fractal geometry who want to teach a course on fractals, and to anyone who thinks general scientific literacy is an issue important enough to warrant new approaches.

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  • Used Book in Good Condition

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Differential Topology and Quantum Field Theory.

Differential Topology and Quantum Field Theory. Lowest used price: $49.99
Author: Charles. Nash

The remarkable developments in differential topology and how these recent advances have been applied as a primary research tool in quantum field theory are presented here in a style reflecting the genuinely two-sided interaction between mathematical physics and applied mathematics. The author, following his previous work (Nash/Sen: Differential Topology for Physicists, Academic Press, 1983), covers elliptic differential and pseudo-differential operators, Atiyah-Singer index theory, topological quantum field theory, string theory, and knot theory. The explanatory approach serves to illuminate and clarify these theories for graduate students and research workers entering the field for the first time.

  • Treats differential geometry, differential topology, and quantum field theory
  • Includes elliptic differential and pseudo-differential operators, Atiyah-Singer index theory, topological quantum field theory, string theory, and knot theory
  • Tackles problems of quantum field theory using differential topology as a tool


Variational Principles of Topology: Multidimensional Minimal Surface Theory (Mathematics and its Applications)

Variational Principles of Topology: Multidimensional Minimal Surface Theory (Mathematics and its Applications) Lowest new price: $117.57
Lowest used price: $38.33
List price: $129.00
Author: A.T. Fomenko
Brand: A T Fomenko

One service mathematics has rendered the 'Eot moi, ... , si j'avait JU comment en revenir. human race. h has put common sense back je n'y serais point aUe:' Jules Verne where it belongs, 011 the topmost shelf nen to the dusty canister labeUed 'discarded non- The series is divergent; therefore we may be sense'. able to do something with it. Eric T. Bell O. H es viside Mathematics is a tool for thought. A highly necessary tool in a world where both feedback and nonĀ­ linearities abound. Similarly, all kinds of parts of mathematics serve as tools for other pans and for other sciences. Applying a simple rewriting rule to the quote on the right above one finds such statements as: 'One service topology has rendered mathematical physics .. .'; 'One service logic has rendered comĀ­ puter science .. .'; 'One service category theory has rendered mathematics .. .'. All arguably true. And all statements obtainable this way form part of the raison d'etre of this series.

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  • Variational Principles of Topology Multidimensional Minimal Surface Theory Mathematics and its Applications


The Geocubic Matrix: Flashing in the Universe, and the Cosmos of Energy-Matter Caught in Its Time-Flow

The Geocubic Matrix: Flashing in the Universe, and the Cosmos of Energy-Matter Caught in Its Time-Flow Lowest used price: $15.00
List price: $10.95
Author: T. Byron

All of the characteristics of atoms, molecules, and crystals are explained under one unification model, in a revolutionary "Theory-of -Everything", which for the first time accounts for the 4 basic forces of the Universe, those being the Strong Atomic Force, Weak Atomic Force, Gravity, and Electromagnitism.


Quasiconformal Mappings and Analysis: A Collection of Papers Honoring F.W. Gehring

Quasiconformal Mappings and Analysis: A Collection of Papers Honoring F.W. Gehring Lowest new price: $12.84
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List price: $149.00
Brand: Brand: Springer

This book comprises a broad selection of expository articles that were written in conjunction with an international conference held to honor F.W. Gehring on the occasion of his 70th birthday. The objective of both the symposium and the present volume was to survey a wide array of topics related to Gehring's fundamental research in the field of quasiconformal mappings, emphasizing the relation of these mappings to other areas of analysis. The book begins with a short biographical sketch and an overview of Gehring's mathematical achievements, including a complete list of his publications. This is followed by Olli Lehto's account of Gehring's career-long involvement with the Finnish mathematical community and his role in the evolution of the Finnish school of quasiconformal mapping. The remaining articles, written by prominent authorities in diverse branches of analysis, are arranged alphabetically. The principal speakers at the symposium were: Astala, Baernstein Earle, Jones, Kra, Lehto, Martin, Sullivan, and Va"isa"la". Other individuals, some unable to attend the conference, were invited to contribute articles to the volume, which should give readers new insights into numerous aspects of quasiconformal mappings and their applications to other fields of mathematical analysis. Friends and colleagues of Professor Gehring will be especially interested in the personal accounts of his mathematical career and the descriptions of his many important research contributions.

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  • Used Book in Good Condition


Numbers and Functions: Steps to Analysis

Numbers and Functions: Steps to Analysis Lowest new price: $24.01
Lowest used price: $4.40
List price: $35.00
Author: R. P. Burn
Brand: Brand: Cambridge University Press

The transition from studying calculus in schools to studying mathematical analysis at university is notoriously difficult. In this book, Dr Burn follows a route that proved successful with A Pathway to Number Theory and Groups: A Path to Geometry. He invites the student reader to tackle each of the key concepts in turn, progressing from experience (using computers for graph drawing where appropriate) through a structured sequence of several hundred problems to concepts, definitions and proofs of classical real analysis. The sequence of problems, which all have solutions supplied, draws students into constructing definitions and theorems for themselves. This natural development is informed by historical insight and complemented by historical discussion. The sequence also takes into account recent research which has shown how intuitive ideas about numbers, limits, functions and infinity may be at odds with the standard definitions. The novel approach to rigorous analysis offered here is designed to enable students to grow in confidence and skill and thus overcome the traditional difficulties. Teachers in sixth forms will find that questions at the beginning of every chapter provide ways of preparing those at school for university mathematics. Lecturers in universities will be challenged to rethink their conventions about the best way to introduce the central ideas of analysis to undergraduates.

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Exploring Solids and Boxes: 3-D Geometry

Exploring Solids and Boxes: 3-D Geometry Lowest new price: $3.30
Lowest used price: $1.99
Author: Douglas H. Battis Michael T. & Clements
Brand: Brand: Dale Seymour Publications

Exploring Solids and Boxes: 3-D Geometry

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