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Geometry & Topology


Orbit and Constellation Design and Management (Space Technology Library, Vol. 13) - Renewed Edition

Orbit and Constellation Design and Management (Space Technology Library, Vol. 13) - Renewed Edition Lowest new price: $69.00
Lowest used price: $55.75
List price: $69.00
Author: James R Wertz
Brand: Brand: Microcosm, Inc

Orbit and Constellation Design and Management (OCDM) provides greatly expanded detail on many topics first introduced in the 2 of the earlier Wertz works - Spacecraft Attitude Determination and Control (SADC) and Space Mission Analysis and Design (SMAD).

If these two books got you started in mission engineering and you need more detail on the key area of Spacecraft Orbit and Attitude Systems (SOAS), then this book provides more detail in SOAS requirements definition, mission geometry, orbit and constellation design, relative motion of satellites, observation and measurement systems engineering, orbit control and management, and similar topics.

Features:

  • Used Book in Good Condition

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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: $73.02
Lowest used price: $22.99
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.


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


Categories, Bundles and Spacetime Topology (Mathematics and Its Applications)

Categories, Bundles and Spacetime Topology (Mathematics and Its Applications) Lowest new price: $103.09
Lowest used price: $101.84
List price: $279.00
Author: C.T. Dodson
Brand: Brand: Springer

Approach your problems from the right end It isn't that they can't see the solution. It is and begin with the answers. Then one day, that they can't see the problem. perhaps you will find the final question. G. K. Chesterton. The Scandal of Father 'The Hermit Gad in Crane Feathers' in R. Brown'The point of a Pin'. van Gulik's TheChinese Maze Murders. Growing specialization and diversification have brought a host of monographs and textbooks on increasingly specialized topics. However, the "tree" of knowledge of mathematics and related fields does not grow only by putting forth new branches. It also happens, quite often in fact, that branches which were thought to be completely disparate are suddenly seen to be related. Further, the kind and level of sophistication of mathematics applied in various sciences has changed drastically in recent years: measure theory is used (non-trivially) in regional and theoretical economics; algebraic geometry interacts with physics; the Minkowsky lemma, coding theory and the structure of water meet one another in packing and covering theory; quantum fields, crystal defects and mathematical programming profit from homotopy theory; Lie algebras are relevant to filtering; and prediction and electrical engineering can use Stein spaces. And in addition to this there are such new emerging SUbdisciplines as "experimental mathematics", "CFD", "completely integrable systems", "chaos, synergetics and large-scale order", which are almost impossible to fit into the existing classification schemes. They draw upon widely different sections of mathematics.

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  • Used Book in Good Condition


Introduction to Topology

Introduction to Topology Lowest new price: $40.43
Lowest used price: $20.88
List price: $40.43
Author: Crump W. Baker
Brand: Brand: Krieger Pub Co

The fundamental concepts of general topology are covered in this text whic can be used by students with only an elementary background in calculus. Chapters cover: sets; functions; topological spaces; subspaces; and homeomorphisms.

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  • Used Book in Good Condition

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Stable Groups (Mathematical Surveys & Monographs)

Stable Groups (Mathematical Surveys & Monographs) Lowest new price: $56.01
Lowest used price: $20.01
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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.

Features:

  • 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: $34.99
List price: $79.99
Author: P.R. Halmos
Brand: 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."

Features:

  • A Hilbert Space Problem Book

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Excursions in Calculus: An Interplay of the Continuous and the Discrete (Dolciani Mathematical Expositions)

Excursions in Calculus: An Interplay of the Continuous and the Discrete (Dolciani Mathematical Expositions) Lowest new price: $101.15
Lowest used price: $35.00
List price: $48.95
Author: Robert M. Young

The purpose of this book is to explore the rich and elegant interplay that exists between the two main currents of mathematics, the continuous and the discrete. Such fundamental notions in discrete mathematics as induction, recursion, combinatorics, number theory, discrete probability, and the algorithmic point of view as a unifying principle are continually explored as they interact with traditional calculus. The book is addressed primarily to well-trained calculus students and those who teach them, but it can also serve as a supplement in a traditional calculus course for anyone who wants to see more. The problems, taken for the most part from probability, analysis, and number theory, are an integral part of the text. There are over 400 problems presented in this book.

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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 new price: $108.99
Lowest used price: $7.19
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.


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