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A Basic Course in Algebraic Topology
This book is intended to serve as a textbook for a course in algebraic topology at the beginning graduate level. The main topics covered are the classification of compact 2-manifolds, the fundamental … mehr »
geschrieben von William S. Massey (Autor)
A Beginner's Guide to Graph Theory
Graph theory continues to be one of the fastest growing areas of modern mathematics because of its wide applicability in such diverse disciplines as computer science, engineering, chemistry, … mehr »
geschrieben von W. D. Wallis (Autor)
A First Course in Differential Equations
This book is intended as an alternative to the standard differential equations text, which typically includes a large collection of methods and applications, packaged with state-of-the-art color … mehr »
geschrieben von J. David Logan (Autor)
How do you convey to your students, colleagues and friends some of the beauty of the kind of mathematics you are obsessed with? If you are a mathematician interested in finite or topological geometry … mehr »
geschrieben von Burkard Polster (Autor)
A History of Algebraic and Differential Topology, 1900-1960
A classic available again! This book traces the history of algebraic topology beginning with its creation by Henry PoincarA(c) in 1900, and describing in detail the important ideas introduced in the … mehr »
geschrieben von Jean Dieudonne (Autor)
If mathematics is a language, then taking a topology course at the undergraduate level is cramming vocabulary and memorizing irregular verbs: a necessary, but not always exciting exercise one has to … mehr »
geschrieben von Volker Runde (Autor)
This is a book of elementary geometric topology, in which geometry, frequently illustrated, guides calculation. The book starts with a wealth of examples, often subtle, of how to be mathematically … mehr »
geschrieben von Stephen Huggett (Autor) und David Jordan (Autor)
Praise for George Francis's A Topological Picturebook:
Bravo to Springer for reissuing this unique and beautiful book! It not only reminds the older generation of the pleasures of doing …
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geschrieben von George K. Francis (Autor)
Emphasizes topological, geometrical and analytical properties of absolute measurable … mehr »
geschrieben von Togo Nishiura (Autor)
Abstract regular polytopes stand at the end of more than two millennia of geometrical research, which began with regular polygons and polyhedra. They are highly symmetric combinatorial structures with … mehr »
geschrieben von Peter McMullen (Autor) und Egon Schulte (Autor)
Advances in Topological Quantum Field Theory
This volume is the conference proceedings of the NATO ARW during August 2001 at Kananaskis Village, Canada on "New Techniques in Topological Quantum Field Theory". This conference brought together … mehr »
geschrieben von John M. Bryden (Herausgeber)
Algebraic and Geometric Surgery
This book is an introduction to surgery theory: the standard classification method for high-dimensional manifolds. It is aimed at graduate students, who have already had a basic topology course, and … mehr »
geschrieben von Andrew Ranicki (Autor)
Intended for use both as a text and a reference, this book is an exposition of the fundamental ideas of algebraic topology. The first third of the book covers the fundamental group, its definition and … mehr »
geschrieben von Edwin H. Spanier (Autor)
Algebraic Topology: An Introduction
William S. Massey Professor Massey, born in Illinois in 1920, received his bachelor's degree from the University of Chicago and then served for four years in the U.S. Navy during World War II. After … mehr »
geschrieben von William S. Massey (Autor)
Algebraic Transformation Groups and Algebraic Varieties
The book covers topics in the theory of algebraic transformation groups and algebraic varieties which are very much at the frontier of mathematical research. The contributors are all internationally … mehr »
geschrieben von Vladimir L. Popov (Herausgeber)
Ein verständlicher Einstieg in die … mehr »
geschrieben von René Bartsch (Autor)
An Introduction to Algebraic Topology
This book is a clear exposition, with exercises, of the basic ideas of algebraic topology: homology (singular, simplicial, and cellular), homotopy groups, and cohomology rings. It is suitable for a … mehr »
geschrieben von Joseph J. Rotman (Autor)
An Introduction to Contact Topology
The first comprehensive introduction to contact topology. Ideal for graduate … mehr »
geschrieben von Hansjorg Geiges (Autor)
An Introduction to Differential Geometry and Topology in Mathematical Physics
This book gives an outline of the developments of differential geometry and topology in the twentieth century, … mehr »
geschrieben von Wang Rong (Autor) und Rong Wang (Autor)
An Introduction to Differential Manifolds
This invaluable book, based on the many years of teaching experience of both authors, introduces the reader to the basic ideas in differential topology. Among the topics covered are smooth manifolds … mehr »
geschrieben von Dennis Barden (Autor) und Charles Thomas (Autor)
An Introduction to Invariants and Moduli
This volume consists of the first two volumes of … mehr »
geschrieben von Shigeru Mukai (Autor) und W. M. Oxbury (Autor) und Bela Bollobas (Herausgeber)
Manifolds, the higher-dimensional analogs of smooth curves and surfaces, are fundamental objects in modern mathematics. Combining aspects of algebra, topology, and analysis, manifolds have also been … mehr »
geschrieben von Loring W. Tu (Autor)
An Introduction to Metric Spaces and Fixed Point Theory
"Clear, friendly exposition." (American Mathematical … mehr »
geschrieben von Mohamed A. Khamsi (Autor) und William A. Kirk (Autor) und Khamsi (Autor)
An Introduction to Semiclassical and Microlocal Analysis
This book presents the techniques used in the microlocal treatment of semiclassical problems coming from quantum physics in a pedagogical way and is mainly addressed to non-specialists in the subject. … mehr »
geschrieben von Andre Martinez (Autor)
An Introduction to the Mathematical Theory of Dynamic Materials
This book gives a mathematical treatment of a novel concept in material science that characterizes the properties of dynamic materials-that is, material substances whose properties are variable in … mehr »
geschrieben von Konstantin A. Lurie (Autor)
Analysis and Geometry on Complex Homogeneous Domains
A number of important topics in complex analysis and geometry are covered in this excellent introductory text. Written by experts in the subject, each chapter unfolds from the basics to the more … mehr »
geschrieben von J. Faraut (Autor) und Soji Keneyuki (Autor) und Jacques Faraut (Autor)
Approach Spaces: The Missing Link in the Topology-Uniformity-Metric Triad
Symbols; Preface; 1. Approach Spaces; 2. Topological Approach Spaces; 3. Metric Approach Spaces; 4. Uniform Approach Spaces; 5. Canonical Examples; 6. Approach Properties; 7. Completion; 8. … mehr »
geschrieben von Robert Lowen (Autor) und R. Lowen (Autor)
In this broad introduction to topology, the author searches for topological invariants of spaces, together with techniques for calculating them. Students with knowledge of real analysis, elementary … mehr »
geschrieben von M. A. Armstrong (Autor)
Bitopological Spaces: Theory, Relations with Generalized Algebraic Structures and Applications
This monograph is the first and an initial introduction to the theory of bitopological spaces and its applications. In particular, different families of subsets of bitopological spaces are introduced … mehr »
geschrieben von Badri Dvalishvili (Autor) und Jan Van Mill (Herausgeber)
Categorical Decomposition Techniques in Algebraic Topology
The book consists of articles at the frontier of current research in Algebraic Topology. It presents recent results by top notch experts, and is intended primarily for researchers and graduate … mehr »
geschrieben von Gregory Arone (Herausgeber) und John Hubbuck (Herausgeber) und Ran Levi (Herausgeber) und Michael Weiss (Herausgeber)
Categorical Foundations: Special Topics in Order, Topology, Algebra, and Sheaf Theory
Researchers, teachers and graduate students in algebra and topology--familiar with the very basic notions of category theory--will welcome this categorical introduction to some of the key areas of … mehr »
geschrieben von Maria Pedicchio (Herausgeber) und Walter Tholen (Herausgeber) und G. -C Rota (Herausgeber)
Chern-Simons Theory, Matrix Models, and Topological Strings
In recent years, the old idea that gauge theories and string theories are equivalent has been implemented and developed in various ways, and there are by now various models where the string theory / … mehr »
geschrieben von Marcos Marino (Autor)
Cohomological Methods in Transformation Groups Cohomological Methods in Transformation Groups
The reader with a relatively modest background in algebraic … mehr »
geschrieben von C. Allday (Autor) und V. Puppe (Autor) und Volker Puppe (Autor)
Combinatorial Algebraic Topology
Combinatorial algebraic topology is a fascinating and dynamic field at the crossroads of algebraic topology and discrete mathematics. This volume is the first comprehensive treatment of the subject in … mehr »
geschrieben von Dmitry Kozlov (Autor)
Combinatorial Group Theory and Applications to Geometry
From the reviews: "... The book under review consists of two monographs on geometric aspects of group theory ... Together, these two articles form a wide-ranging survey of combinatorial group theory, … mehr »
geschrieben von D. J. Collins (Autor) und R. I. Grigorchuk (Autor) und I. R. Shafarevich (Herausgeber) und A. I. Kostrikin (Herausgeber) und P. F. Kurchanov (Autor) und H. Zieschang (Autor)
Computational Geometry and Computer Graphics in C++
This book provides an accessible introduction to methods in computational geometry and computer graphics. It emphasizes the efficient object-oriented implemenation of geometric methods with useable … mehr »
geschrieben von Michael J. Laszlo (Autor)
Contemporary Geometry and Related Topics, Proceedings of the Workshop
Readership: Researchers in geometry & topology, … mehr »
geschrieben von N. Bokan (Herausgeber) und M. Djoric (Herausgeber) und Z. Rakic (Herausgeber)
Deterministic Observation Theory and Applications
This work presents a general theory as well as constructive methodology in order to solve "observation problems," namely, those problems that pertain to reconstructing the full information about a … mehr »
geschrieben von Jean-Paul Gauthier (Autor) und Ivan Kupka (Autor) und I. A. K. Kupka (Autor)
Diagram geometry, which introduces a range of techniques that enable an interaction between group theory and geometry, allows the mathematician to get information on a multi-dimensional geometric … mehr »
geschrieben von Antonio Pasini (Autor)
The basics of differentiable manifolds, global calculus, differential geometry, and related topics constitute a core of information essential for the first or second year graduate student preparing … mehr »
geschrieben von Lawrence Conlon (Autor)
This book gives the reader a thorough knowledge of the basic topological ideas necessary for studying differential manifolds. These topics include immersions and imbeddings, approach techniques, and … mehr »
geschrieben von Morris W. Hirsch (Autor)
Discrete Integrable Geometry and Physics
Recent interactions between the fields of geometry, classical and quantum dynamical systems, and visualization of geometric objects such as curves and surfaces have led to the observation that most … mehr »
geschrieben von Alexander I. Bobenko (Herausgeber) und Ruedi Seiler (Herausgeber) und A. I. Bobenko (Herausgeber)
D-modules, Representation Theory, and Quantum Groups
CONTENTS: L. Boutet de Monvel: Indice de systemes differentiels.- C. De Concini, C. Procesi: Quantum groups.- P. Schapira, J.P. Schneiders: Index theorems for R-constructible sheaves and for … mehr »
geschrieben von Louis Boutet de Monvel (Autor) und Corrado de Concini (Autor) und Claudio Procesi (Autor) und Michele Vergne (Autor) und Giuseppe Zampieri (Herausgeber) und Pierre Schapira (Autor) und Andrea D'Agnolo (Herausgeber)
Elementary Geometry of Differentiable Curves: An Undergraduate Introduction
Here is a genuine introduction to the differential geometry of plane curves for undergraduates in mathematics, or postgraduates and researchers in the engineering and physical sciences. This … mehr »
geschrieben von Chris Gibson (Autor) und C. G. Gibson (Autor)
Elementary Topics in Differential Geometry
This introductory text develops the geometry of n-dimensional oriented surfaces in Rn+1. By viewing such surfaces as level sets of smooth functions, the author is able to introduce global ideas early … mehr »
geschrieben von John A. Thorpe (Autor)
Elliptic cohomology is an extremely beautiful theory with both geometric and arithmetic aspects. The former is explained by the fact that the theory is a quotient of oriented cobordism localised away … mehr »
geschrieben von Charles B. Thomas (Autor) und C. B. Thomas (Autor) und C. C. Jay Kuo (Autor)
Elliptic Partial Differential Equations and Quasiconformal Mappings in the Plane (PMS-47)
Explores developments in the theory of planar quasiconformal mappings with a focus on the interactions with partial differential equations and nonlinear analysis. This book presents a modern approach … mehr »
geschrieben von Kari Astala (Autor) und Tadeusz Iwaniec (Autor) und Gaven Martin (Autor)
Taking a direct route, "Essential Topology" brings the most important aspects of modern topology within reach of a second-year undergraduate student. It begins with a discussion of continuity and, by … mehr »
geschrieben von Martin D. Crossley (Autor)
Exotic Smoothness and Physics: Differential Topology and Spacetime Models
The recent revolution in differential topology related to the discovery of non-standard ("exotic") smoothness structures on topologically trivial manifolds such as R4 suggests many exciting … mehr »
geschrieben von Torsten Asselmeyer-Maluga (Autor) und Carl H. Brans (Autor)
This book gives students a rich experience with low-dimensional topology, enhances their geometrical and topological intuition, empowers them with new approaches to solving problems, and provides them … mehr »
geschrieben von David Gay (Autor)
This book provides an in-depth, state-of-the-art discussion of the theory of finite packings and coverings by convex bodies. It contains various new results and arguments, collects other key data … mehr »
geschrieben von K. Boroczky (Autor) und Karoly Boroczky (Autor) und Jr. Boroczky (Autor)
Finite Projective Spaces of Three Dimensions
This self-contained and highly detailed study considers projective spaces of three dimensions over a finite field. It is the second and core volume of a three-volume treatise on finite projective … mehr »
geschrieben von J. W. Hirschfield (Autor) und Hirschfeld (Autor)
"The theory of Fixed Points is one of the most powerful tools of modern mathematics. Not only is it used on a daily basis in pure and applied mathematics, but it also serves as a bridge between … mehr »
geschrieben von James Dugundji (Autor) und Andrzej Granas (Autor)
Foliations 2005: Proceedings of the International Conference Lodz, Poland 13-24 June 2005
Takes a look at the state of the theory of foliations, with surveys and research articles concerning different aspects. This volume also contains a list of open problems in foliation theory which were … mehr »
geschrieben von Pawel Walczak (Herausgeber) und Steven Hurder (Herausgeber) und Takashi Tsuboi (Herausgeber)
Foliations and the Geometry of 3-Manifolds
This unique reference, aimed at research topologists, gives an exposition of the 'pseudo-Anosov' theory of foliations of 3-manifolds. This theory generalizes Thurston's theory of surface automorphisms … mehr »
geschrieben von Danny Calegari (Autor)
Foliations is one of the major concepts of modern geometry and topology meaning a partition of topological space into a disjoint sum of leaves. This book is devoted to geometry and topology of surface … mehr »
geschrieben von Igor Nikolaev (Autor)
Foundations of Differentiable Manifolds and Lie Groups
Foundations of Differentiable Manifolds and Lie Groups gives a clear, detailed, and careful development of the basic facts on manifold theory and Lie Groups. It includes differentiable manifolds, … mehr »
geschrieben von Frank W. Warner (Autor)
Fractals in Molecular Biophysics
Historically, science has sought to reduce complex problems to their simplest components, but more recently it has recognized the merit of studying complex phenomena in situ. Fractal geometry is one … mehr »
geschrieben von Thomas Gregory Dewey (Autor) und T. Gregory Dewey (Autor)
Frobenius Algebras and 2-D Topological Quantum Field Theories
Describing a striking connection between topology and algebra, rather than only proving the theorem, this study demonstrates how the result fits into a more general pattern. Throughout the text … mehr »
geschrieben von Joachim Kock (Autor) und C. M. Series (Herausgeber) und J. W. Bruce (Herausgeber)
This classic book is a systematic exposition of general topology. It is especially intended as background for modern analysis. Based on lectures given at the University of Chicago, the University of … mehr »
geschrieben von J. L. Kelley (Autor) und John L. Kelley (Autor)
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