This first course on differential geometry includes not only Riemannian manifolds, but also symplectic and contact geometry. Rather than treating these three fields of geometry as separate subjects, this text emphasises common features by organising...Loe edasi...
This open access book is a tribute to the profound contributions of Professor Bumsig Kim in the field of mathematics, particularly in the realm of mirror symmetry. Mirror symmetry is a fascinating duality between complex/algebraic geometry and sym...Loe edasi...
This monograph presents a self-contained introduction to the analytic foundation of a level set approach for various surface evolution equations, including curvature flow equations. These equations are important in many applications, such as materia...Loe edasi...
This textbook offers a self-contained introduction to the theory of connections on vector bundles that is accessible to both advanced undergraduate students and graduate students. Constructions and proofs of key results are presented in detail in or...Loe edasi...
This textbook is designed for a one-semester introductory course in Differential Geometry. It covers the fundamentals of differentiable manifolds, explores Lie groups and homogeneous spaces, and concludes with rigorous proofs of Stokes Theorem and t...Loe edasi...
Enumerative geometry is a core area of algebraic geometry that dates back to Apollonius in the second century BCE. It asks for the number of geometric figures with desired properties and has many applications from classical geometry to modern physic...Loe edasi...
(Ilmumisaeg: 19-Mar-2026, Hardback, Kirjastus: World Scientific Publishing Co Pte Ltd, ISBN-13: 9789819817665)
This book is devoted to description of different geometric structures, including the classical structures of differential geometry like de Rham complex, Dolbeaux complex and Dirac complex and also some structures that have not attracted yet an atte...Loe edasi...
(Ilmumisaeg: 16-Mar-2026, Paperback / softback, Kirjastus: De Gruyter, ISBN-13: 9783112232071)
In Chapter 1, time scales are defined and some examples are given. Forward jump operators, backward jump operators, forward graininess functions and backward graininess functions are defined and some of their properties are given. The induction prin...Loe edasi...
This contributed volume includes chapters written by leading experts from around the world and provides a thorough and up-to-date exploration of geometric inequalities and their far-reaching applications. Covering a broad spectrum of topics, it disc...Loe edasi...
This extension of convex geometry has revealed unexpected depth and connections with many areas of mathematics, shedding new light on old problems such as the characterization of the 2-sphere conjectured by A.D....Loe edasi...
(Ilmumisaeg: 02-Feb-2026, Paperback / softback, Kirjastus: De Gruyter, ISBN-13: 9783112228487)
In chapter 1 N dimensional spaces, contravariant vectors, covariant vectors and invariants are introduced. Some of their properties are deduced. Transformations of coordinates are investigated. Chapter 2 provides an informative introduction concerni...Loe edasi...
This book presents selected lectures from the Wisla 22 Winter School and Workshop organized by the Baltic Institute of Mathematics that illustrate the power of geometric methods in understanding complex physical systems....Loe edasi...
This book offers an introduction to Newton–Cartan gravity, a reformulation of Newtonian gravity in differential-geometric language, which brings it closer to General Relativity (GR) than the standard formulation. The text syst...Loe edasi...
Seshan Chandrasekaran, Ravi N. Banavar, Arun D. Mahindrakar
Sari: SIAM Spotlights
(Ilmumisaeg: 13-Jan-2026, Paperback / softback, Kirjastus: Society for Industrial & Applied Mathematics,U.S., ISBN-13: 9781611978797)
Connecting natural phenomena with advanced engineering, this work redefines coordination and synchronization by moving beyond basic Euclidean models into the realm of Lie groups with bi-invariant metrics. It transforms the harmony of flocking birds...Loe edasi...
(Ilmumisaeg: 12-Jan-2026, Hardback, Kirjastus: World Scientific Publishing Co Pte Ltd, ISBN-13: 9789819813063)
This book offers a captivating journey through the world of elliptic partial differential equations (PDEs) and their surprising appearances across science, engineering, and even everyday life. Blending mathematical rigor with an accessible and engag...Loe edasi...
(Ilmumisaeg: 12-Jan-2026, Paperback / softback, Kirjastus: World Scientific Publishing Co Pte Ltd, ISBN-13: 9789819813940)
This book offers a captivating journey through the world of elliptic partial differential equations (PDEs) and their surprising appearances across science, engineering, and even everyday life. Blending mathematical rigor with an accessible and engag...Loe edasi...
(Ilmumisaeg: 10-Jan-2026, Hardback, Kirjastus: Springer International Publishing AG, ISBN-13: 9783031962813)
This textbook explores differential geometrical aspects of the theory of completely integrable Hamiltonian systems. It provides a comprehensive introduction to the mathematical foundations and illustrates it with a thorough analysis of classical e...Loe edasi...
