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#### Spectra and the Steenrod Algebra

Elsevier Science 2011; US$ 148.25I have intended this book to be more than just the sum of its chapters, and the introduction is, in part, an attempt to spell out what the more is. Algebraic topology is the study of topological problems by algebraic means. More precisely, this has come to be framed as the study of topological categories by means of functors to algebraic categories.... more...

#### Basic Algebraic Topology

CRC Press 2016; US$ 105.00Building on rudimentary knowledge of real analysis, point-set topology, and basic algebra, Basic Algebraic Topology provides plenty of material for a two-semester course in algebraic topology. The book first introduces the necessary fundamental concepts, such as relative homotopy, fibrations and cofibrations, category theory, cell complexes,... more...

#### Advances in the Homotopy Analysis Method

World Scientific Publishing Company 2013; US$ 100.00 US$ 91.00Unlike other analytic techniques, the Homotopy Analysis Method (HAM) is independent of small/large physical parameters. Besides, it provides great freedom to choose equation type and solution expression of related linear high-order approximation equations. The HAM provides a simple way to guarantee the convergence of solution series. Such uniqueness... more...

#### Functorial Knot Theory

World Scientific Publishing Company 2001; US$ 87.00 US$ 79.17Almost since the advent of skein-theoretic invariants of knots and links (the Jones, HOMFLY, and Kauffman polynomials), the important role of categories of tangles in the connection between low-dimensional topology and quantum-group theory has been recognized. The rich categorical structures naturally arising from the considerations of cobordisms have... more...

#### Energy of Knots and Conformal Geometry

World Scientific Publishing Company 2003; US$ 83.00 US$ 75.53Energy of knots is a theory that was introduced to create a “canonical configuration” of a knot — a beautiful knot which represents its knot type. This book introduces several kinds of energies, and studies the problem of whether or not there is a “canonical configuration” of a knot in each knot type. It also considers... more...

#### Shape Theory

Elsevier Science 1982; US$ 19.95North-Holland Mathematical Library, Volume 26: Shape Theory: The Inverse System Approach presents a systematic introduction to shape theory by providing background materials, motivation, and examples, including shape theory and invariants, pro-groups, shape fibrations, and metric compacta. The publication first ponders on the foundations of shape... more...

#### Fixed Point Theory in Distance Spaces

Springer International Publishing 2014; US$ 67.15This is a monograph on fixed point theory, covering the purely metric aspects of the theory–particularly results that do not depend on any algebraic structure of the underlying space. Traditionally, a large body of metric fixed point theory has been couched in a functional analytic framework. This aspect of the theory has been written about extensively.... more...

#### Configuration Spaces

Scuola Normale Superiore 2013; US$ 27.97These proceedings contain the contributions of some of the participants in the "intensive research period" held at the De Giorgi Research Center in Pisa, during the period May-June 2010. The central theme of this research period was the study of configuration spaces from various points of view. This topic originated from the intersection of several... more...

#### Differentialrechnung für Höhlenmenschen und andere Anfänger

Springer Fachmedien Wiesbaden 2015; US$ 4.69Jürgen Beetz führt zuerst in den Ursprung der erdachten Geschichten der Mathematik aus der Steinzeit ein. Im Anschluss daran stellt er die zentrale Fragestellung der „Infinitesimalrechnung“ anhand eines einfachen Beispiels dar. Dann erläutert der Autor die Grundproblematik des Differenzierens: die Steigung (d. h. die Richtung der Tangente) an einer... more...

#### Braid Groups

Springer New York 2008; US$ 49.27The authors introduce the basic theory of braid groups, highlighting several definitions showing their equivalence. This is followed by a treatment of the relationship between braids, knots and links. Important results then look at linearity and orderability. more...