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Up until recently, Riemannian geometry and basic topology were not included, even by departments or faculties of mathematics, as compulsory subjects i...Savoir plus
The theory presented in this book is developed constructively, is based on a few axioms encapsulating the notion of objects (points and sets) being ap...Savoir plus
'Metric spaces' is taught in the final years of undergraduate degrees as an essential part of functional analysis. This book takes a traditional theor...Savoir plus
Topological Spaces: From Distance to Neighborhood is a gentle introduction to topological spaces leading the reader to understand the notion of what i...Savoir plus
This book is a result of a workshop, the 8th of the successful TopoInVis workshop series, held in 2019 in Nyköping, Sweden. The workshop regularly gat...Savoir plus
Freeness of an action of a compact Lie group on a compact Hausdorff space is equivalent to a simple condition on the corresponding equivariant K-theor...Savoir plus
The field of convex geometry has become a fertile subject of mathematical activity in the past few decades. This exposition, examining in detail those...Savoir plus
This textbook covers topics of undergraduate mathematics in abstract algebra, geometry, topology and analysis with the purpose of connecting the under...Savoir plus
Abstract algebra is the study of algebraic structures like groups, rings and fields. This book provides an account of the theoretical foundations incl...Savoir plus
This book is addressed to mathematicians and advanced students interested in buildings, groups and their interplay. Its first part introduces - presup...Savoir plus
The first of three volumes on partial differential equations, this one introduces basic examples arising in continuum mechanics, electromagnetism, com...Savoir plus
This book, the second of two volumes, presents significant applications for understanding modern analysis. It empowers young researchers with key tech...Savoir plus
This book is dedicated to the structure and combinatorics of classical Hopf algebras. Its main focus is on commutative and cocommutative Hopf algebras...Savoir plus
This self-contained work on linear and metric structures focuses on studying continuity and its applications to finite- and infinite-dimensional space...Savoir plus
This invaluable book is an introduction to knot and link invariants as generalized amplitudes for a quasi-physical process. The demands of knot theory...Savoir plus
As the interaction of mathematics and theoretical physics continues to intensify, the theories developed in mathematics are being applied to physics, ...Savoir plus
Bereits in 6. Auflage präsentiert das erfolgreiche Lehrbuch den Kanon der Analysis einer Veränderlichen. Durch die zahlreichen Beispiele und und Übung...Savoir plus
Homotopy Analysis of Algebraic Structures: Unveiling the Hidden ContinuaMathematics thrives on structure. Algebraic structures, like groups, rings, an...Savoir plus
The book offers a comprehensive introduction to Leavitt path algebras (LPAs) and graph C*-algebras. Highlighting their significant connection with cla...Savoir plus
The main subjects of the Siegen Topology Symposium are reflected in this collection of 16 research and expository papers. They center around different...Savoir plus
This is a foundation for arithmetic topology - a new branch of mathematics which is focused upon the analogy between knot theory and number theory. St...Savoir plus
Group cohomology has a rich history that goes back a century or more. Its origins are rooted in investigations of group theory and num- ber theory, an...Savoir plus
This book provides an informal and geodesic introduction to factorization homology, focusing on providing intuition through simple examples. Along the...Savoir plus
A substantially revised edition of the UTM volume, with a view to making the book far more accessible to undergraduates. It contains a larger number o...Savoir plus