198 books (10 pages) in this category
by Stroyan, K. D.
Calculus Using Mathematica is intended for college students taking a course in calculus. It teaches the basic skills of differentiation and integration and how to use Mathematica, a scientific software language, to perform very elaborate ...eBook
by Akbulut, Selman
<p>In the spring of 1985, A. Casson announced an interesting invariant of homology 3-spheres via constructions on representation spaces. This invariant generalizes the Rohlin invariant and gives surprising corollaries in low-dimensional ...eBook
by Emily Riehl
<p>This book develops abstract homotopy theory from the categorical perspective with a particular focus on examples. Part I discusses two competing perspectives by which one typically first encounters homotopy (co)limits: either as derived ...eBook
by Saunders Mac Lane
<p>An array of general ideas useful in a wide variety of fields. Starting from the foundations, this book illuminates the concepts of category, functor, natural transformation, and duality. It then turns to adjoint functors, which provide a ...eBook
by Milnor, John
<p>The theory of characteristic classes provides a meeting ground for the various disciplines of differential topology, differential and algebraic geometry, cohomology, and fiber bundle theory. As such, it is a fundamental and an essential tool ...eBook
by Timothy C. Burness & Michael Giudici
<p>A classical theorem of Jordan states that every finite transitive permutation group contains a derangement. This existence result has interesting and unexpected applications in many areas of mathematics, including graph theory, number theory ...eBook
by Nick Gurski
<p>Dimension three is an important test-bed for hypotheses in higher category theory and occupies something of a unique position in the categorical landscape. At the heart of matters is the coherence theorem, of which this book provides a ...eBook
by Izu Vaisman
<p>This monograph explores the cohomological theory of manifolds with various sheaves and its application to differential geometry. Based on lectures given by author Izu Vaisman at Romania's University of Iasi, the treatment is suitable for ...eBook
by Epstein, David B.A.
<p>Written and revised by D. B. A. Epstein.</p> ...eBook
by Alastair Darby, Jelena Grbic & Zhi Lü;Jie Wu;
<p>This volume consists of introductory lectures on the topics in the new and rapidly developing area of toric homotopy theory, and its applications to the current research in configuration spaces and braids, as well as to more applicable ...eBook
by Gersten, S. M.
<p>Group theory and topology are closely related. The region of their interaction, combining the logical clarity of algebra with the depths of geometric intuition, is the subject of <i>Combinatorial Group Theory and Topology</i>. The work ...eBook
by Bruno Benedetti, Emanuele Delucchi & Luca Moci
<p>Combinatorics plays a prominent role in contemporary mathematics, due to the vibrant development it has experienced in the last two decades and its many interactions with other subjects.</p> <p>This book arises from the INdAM conference ...eBook
by Professor R. M. Green
<p>Minuscule representations occur in a variety of contexts in mathematics and physics. They are typically much easier to understand than representations in general, which means they give rise to relatively easy constructions of algebraic ...eBook
by Penner, R. C.
<p>Measured geodesic laminations are a natural generalization of simple closed curves in surfaces, and they play a decisive role in various developments in two-and three-dimensional topology, geometry, and dynamical systems. This book presents aeBook
by Louis Nel
<p>This book presents a detailed, self-contained theory of continuous mappings. It is mainly addressed to students who have already studied these mappings in the setting of metric spaces, as well as multidimensional differential calculus. The ...eBook
by Tukey, John W.
<p>The book description for the forthcoming "Convergence and Uniformity in Topology. (AM-2)" is not yet available.</p> ...eBook
by Szymon Dolecki & Frédéric Mynard
<p>This textbook is an alternative to a classical introductory book in point-set topology. The approach, however, is radically different from the classical one. It is based on convergence rather than on open and closed sets.</p> <p>Convergence ...eBook
by Brian A. Munson & Ismar Volic
<p>Graduate students and researchers alike will benefit from this treatment of classical and modern topics in homotopy theory of topological spaces with an emphasis on cubical diagrams. The book contains 300 examples and provides detailed ...eBook
by Munson, Brian A.
Graduate students and researchers alike will benefit from this treatment of classical and modern topics in homotopy theory of topological spaces with an emphasis on cubical diagrams. The book contains 300 examples and provides detailed ...eBook
by Peter E. Hydon
<p>Most well-known solution techniques for differential equations exploit symmetry in some form. Systematic methods have been developed for finding and using symmetries, first integrals and conservation laws of a given differential equation. ...eBook