Thema Topologie – alle Bücher

Laura Anderson
Oriented Matroids

Oriented matroids appear throughout discrete geometry, with applications in algebra, topology, physics, and data analysis. This introduction to oriented matroids is intended for graduate students, scienti…

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Yannis Bähni
Lectures on Twisted Rabinowitz-Floer Homology

This book provides a concise and effective introduction to twisted Rabinowitz--Floer homology, a generalization of Rabinowitz--Floer homology. The theory can be used for finding periodic orbits in Hamilto…

lieferbar ab 18.12.2025.

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Rubén Ballester, Carles Casacuberta, Sergio Escalera
Topological Data Analysis for Neural Networks

SpringerBriefs in Computer Science

This book offers a comprehensive presentation of methods from topological data analysis applied to the study of neural network structure and dynamics. Using topology-based tools such as persistent homolog…

lieferbar ab 1.12.2025.

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Boris Buffoni, John Toland
Connected Sets in Global Bifurcation Theory

This book explores the topological properties of connected and path-connected solution sets for nonlinear equations in Banach spaces, focusing on the distinction between these concepts. Building on Rabino…

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Sergio Cecotti
Introduction to String Theory

Graduate students typically enter into courses on string theory having little to no familiarity with the mathematical background so crucial to the discipline. As such, this book, based on lecture notes, e…

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Jan Dangerfield, Heather Davis, John Farndon, Jonny Griffiths
Big Ideas. Das Mathematik-Buch

DK Big Ideas

Faszination Mathematik auf den Punkt gebrachtDas 1x1 der Mathematik! Dieses innovative Nachschlagewerk führt mit informativen Diagrammen & ansprechenden Grafiken leicht verständlich in die Geschichte …

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B. A. Dubrovin, A. T. Fomenko, S. P. Novikov,
Modern Geometry- Methods and Applications

1 Examples of Manifolds.- 1. The concept of a manifold.- 1.1. Definition of a manifold.- 1.2. Mappings of manifolds; tensors on manifolds.- 1.3. Embeddings and immersions of manifolds. Manifolds with bou…

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B. A. Dubrovin, A. T. Fomenko, S. P. Novikov,
Modern Geometry-Methods and Applications

1 Homology and Cohomology. Computational Recipes.- 1. Cohomology groups as classes of closed differential forms. Their homotopy invariance.- 2. The homology theory of algebraic complexes.- 3. Simplicial c…

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Anahita Eslami Rad
Symplectic and Contact Geometry

This textbook offers a concise introduction to symplectic and contact geometry, with a focus on the relationships between these subjects and other topics such as Lie theory and classical mechanics.Organiz…

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Angel Ferrandez Izquierdo
Helices

This book provides an overview of generalised helices, or Lancret helices, in both Riemannian and Lorentzian backgrounds. We would like to highlight, if that were possible, this mathematical structure wit…

lieferbar ab 24.12.2025.

Buch

James Gillespie
Abelian Model Category Theory

Offering a unique resource for advanced graduate students and researchers, this book treats the fundamentals of Quillen model structures on abelian and exact categories. Building the subject from the grou…

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Alejandro Illanes
Continuum Theory

This graduate textbook provides a natural and structured introduction to Continuum Theory, guiding readers from fundamental concepts to advanced topics. It covers classical results such as locally connect…

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Burglind Jöricke
Braids, Conformal Module, Entropy, and Gromov's Oka Principle

This book studies the relation between conformal invariants and dynamical invariants and their applications, taking the reader on an excursion through a wide range of topics. The conformal invariants, cal…

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Soon-Mo Jung
Aleksandrov-Rassias Problems on Distance Preserving Mappings

This book provides readers with an engaging explanation of the Aleksandrov problem, giving readers an overview of the process of solving Aleksandrov-Rassias problems, which are still actively studied by m…

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Jerzy K¿kol, Wies¿aw Kubi¿, Manuel López-Pellicer, Damian Sobota
Descriptive Topology in Selected Topics of Functional Analysis

A large mathematical community throughout the world actively works in functional analysis and uses profound techniques from topology. Written by experts in the field, this book is a treasure trove for res…

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Liangliang Li, Yu Huang, Goong Chen
Chaotic Maps, Fractals, and Rapid Fluctuations

This book was developed from lecture notes for an introductory graduate course and provides an essential introduction to chaotic maps in finite-dimensional spaces. Furthermore, the authors show how to app…

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Richard Montgomery
Four Open Questions for the N-Body Problem

The N-body problem has been investigated since Isaac Newton, however vast tracts of the problem remain open. Showcasing the vibrancy of the problem, this book describes four open questions and explores pr…

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Marian Mrozek, Thomas Wanner
Connection Matrices in Combinatorial Topological Dynamics

Preface.- Introduction.- Main Results.- Preliminaries.- Poset Filtered Chain Complexes.- Algebraic Connection Matrices.- Connection Matrices in Lefschetz Complexes.- Dynamics of Combinatorial Multivector …

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Sumati Kumari Panda, Velusamy Vijayakumar, Ravi P. Agarwal
Fixed Point Theory from Early Foundations to Contemporary Challenges

Synthesis Lectures on Mathematics & Statistics

This book demonstrates the significance, applicability, and widespread nature of fixed point theorems in contexts outside of mathematics, including engineering, computer science, economics, and biological…

lieferbar ab 2.12.2025.

Buch

Posamentier Alfred S
Geometric Gems (V3)

Our physical world is embedded in a geometric environment. Plane geometry has many amazing wonders beyond those that are briefly touched on at school. The circle, one of the basic aspects of geometry, has…

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