Differential and Riemannian geometry Books
Springer Verlag Geometria Differenziale
Book SynopsisL'opera fornisce una introduzione alla geometria delle varietà differenziabili, illustrandone le principali proprietà e descrivendo le principali tecniche e i più importanti strumenti usati per il loro studio. Uno degli obiettivi primari dell'opera è di fungere da testo di riferimento per chi (matematici, fisici, ingegneri) usa la geometria differenziale come strumento; inoltre può essere usato come libro di testo per diversi corsi introduttivi alla geometria differenziale, concentrandosi su alcuni dei vari aspetti della teoria presentati nell'opera. Più in dettaglio, nell'opera saranno trattati i seguenti argomenti: richiami di algebra multilineare e tensoriale, spesso non presentati nei corsi standard di algebra lineare; varietà differenziali, incluso il teorema di Whitney; fibrati vettoriali, incluso il teorema di Frobenius e un'introduzione ai fibrati principali; gruppi di Lie, incluso il teorema di corrispondenza fra sottogruppi e sottoalgebre; coomologia di de Rham, inclusa la dualità di Poincaré e il teorema di de Rham; connessioni, inclusa la teoria delle geodetiche; e geometria Riemanniana, con particolare attenzione agli operatori di curvatura e inclusi teoremi di Cartan-Hadamard, Bonnet-Myers, e Synge-Weinstein. Come abitudine degli autori, il testo è scritto in modo da favorire una lettura attiva, cruciale per un buon apprendimento di argomenti matematici; inoltre è corredato da numerosi esempi svolti ed esercizi proposti.Trade ReviewFrom the reviews:“The book under review is a generous introduction to differential geometry, including basic notions on Lie groups, fiber bundles, cohomology, and an extensive presentation on Riemannian geometry. … This book is a nice introduction to the geometry of differential manifolds: it illustrates the main properties and provides the important instruments. It can be helpful to mathematicians, physicists, engineers, and it can be also used as a textbook for various courses on differential geometry on different levels.” (Cornelia Vizman, Zentralblatt MATH, Vol. 1230, 2012)
£27.54
Springer Verlag Curves and Surfaces
Book SynopsisThe book provides an introduction to Differential Geometry of Curves and Surfaces. The theory of curves starts with a discussion of possible definitions of the concept of curve, proving in particular the classification of 1-dimensional manifolds. We then present the classical local theory of parametrized plane and space curves (curves in n-dimensional space are discussed in the complementary material): curvature, torsion, Frenet’s formulas and the fundamental theorem of the local theory of curves. Then, after a self-contained presentation of degree theory for continuous self-maps of the circumference, we study the global theory of plane curves, introducing winding and rotation numbers, and proving the Jordan curve theorem for curves of class C2, and Hopf theorem on the rotation number of closed simple curves. The local theory of surfaces begins with a comparison of the concept of parametrized (i.e., immersed) surface with the concept of regular (i.e., embedded) surface. We then develop the basic differential geometry of surfaces in R3: definitions, examples, differentiable maps and functions, tangent vectors (presented both as vectors tangent to curves in the surface and as derivations on germs of differentiable functions; we shall consistently use both approaches in the whole book) and orientation. Next we study the several notions of curvature on a surface, stressing both the geometrical meaning of the objects introduced and the algebraic/analytical methods needed to study them via the Gauss map, up to the proof of Gauss’ Teorema Egregium. Then we introduce vector fields on a surface (flow, first integrals, integral curves) and geodesics (definition, basic properties, geodesic curvature, and, in the complementary material, a full proof of minimizing properties of geodesics and of the Hopf-Rinow theorem for surfaces). Then we shall present a proof of the celebrated Gauss-Bonnet theorem, both in its local and in its global form, using basic properties (fully proved in the complementary material) of triangulations of surfaces. As an application, we shall prove the Poincaré-Hopf theorem on zeroes of vector fields. Finally, the last chapter will be devoted to several important results on the global theory of surfaces, like for instance the characterization of surfaces with constant Gaussian curvature, and the orientability of compact surfaces in R3.Trade ReviewFrom the reviews:“The authors’ goal in writing this book is to present the theory of curves and surfaces from the viewpoint of contemporary mathematics. … New concepts and new definitions are fully motivated, and illustrated by numerous examples. … the book is beautifully written, very well organized, and most of all it may serve as both a less advanced text and a more advanced text for readers interested in the theory of curves and surfaces.” (Andrew Bucki, Mathematical Reviews, June, 2013)“It is dedicated to the study of curves and surfaces both from a local and global viewpoint. It is written and organised in such a way that it can be used by a large scope of students, not only for beginning, intermediate or advanced undergraduate courses in mathematics or physics, but also for engineering or computer science students. … the book can be useful for post-graduate students, too. The book is well written and includes many examples and figures.” (Raúl Oset Sinha, Zentralblatt MATH, Vol. 1238, 2012)
£46.74
Birkhauser Verlag AG Exterior differential calculus and applications
Book SynopsisDuring the academic year 1995/96, I was invited by the Scuola Normale Superiore to give a series of lectures. The purpose of these notes is to make the underlying economic problems and the mathematical theory of exterior differential systems accessible to a larger number of people. It is the purpose of these notes to go over these results at a more leisurely pace, keeping in mind that mathematicians are not familiar with economic theory and that very few people have read Elie Cartan.
£14.99
Birkhauser Verlag AG Geometric properties of non-compact CR manifolds
Book SynopsisThe book deals with some questions related to the boundary problem in complex geometry and CR geometry. After a brief introduction summarizing the main results on the extension of CR functions, it is shown in chapters 2 and 3 that, employing the classical Harvey-Lawson theorem and under suitable conditions, the boundary problem for non-compact maximally complex real submanifolds of Cn, n=3 is solvable. In chapter 4, the regularity of Levi flat hypersurfaces Cn (n=3) with assigned boundaries is studied in the graph case, in relation to the existence theorem proved by Dolbeault, Tomassini and Zaitsev. Finally, in the last two chapters the structure properties of non-compact Levi-flat submanifolds of Cn are discussed; in particular, using the theory of the analytic multifunctions, a Liouville theorem for Levi flat submanifolds of Cn is proved.
£16.14
Springer Verlag, Singapore Nevanlinna Theory
Book SynopsisThis book deals with the classical theory of Nevanlinna on the value distribution of meromorphic functions of one complex variable, based on minimum prerequisites for complex manifolds. The theory was extended to several variables by S. Kobayashi, T. Ochiai, J. Carleson, and P. Griffiths in the early 1970s. K. Kodaira took up this subject in his course at The University of Tokyo in 1973 and gave an introductory account of this development in the context of his final paper, contained in this book. The first three chapters are devoted to holomorphic mappings from C to complex manifolds. In the fourth chapter, holomorphic mappings between higher dimensional manifolds are covered. The book is a valuable treatise on the Nevanlinna theory, of special interests to those who want to understand Kodaira's unique approach to basic questions on complex manifolds.Table of ContentsPreface1. Nevanlinna Theory of One Variable (1)1.1 metrics of compact Rimann surfaces1.2 integral formula1.3 holomorphic maps over compact Riemann surfaces whose genus are greater than 21.4 holomorphic maps over Riemann sphreres1.5 Defect relation2. Schwarz--Kobayashi's Lemma2.1 Schwarz--Kobayashi's Lemma2.2 holomorphic maps over algebraic varieties (general type)2.3 hyperbolic measures3. Nevanlinna Theory of One Variable (2)3.1 holomorphic maps over Riemann shpres3.2 the first main theorem3.3 the second main theorem4. Nevanlinna Theory of Several Variables4.1 Biebelbach's example4.2 the first main theorem4.3 the second main theorem4.4 defect relation4.5 applicationsReferences
£49.49
Springer Verlag, Singapore Contact Geometry of Slant Submanifolds
Book SynopsisThis book contains an up-to-date survey and self-contained chapters on contact slant submanifolds and geometry, authored by internationally renowned researchers. The notion of slant submanifolds was introduced by Prof. B.Y. Chen in 1990, and A. Lotta extended this notion in the framework of contact geometry in 1996. Numerous differential geometers have since obtained interesting results on contact slant submanifolds. The book gathers a wide range of topics such as warped product semi-slant submanifolds, slant submersions, semi-slant ξ┴ -, hemi-slant ξ┴ -Riemannian submersions, quasi hemi-slant submanifolds, slant submanifolds of metric f-manifolds, slant lightlike submanifolds, geometric inequalities for slant submanifolds, 3-slant submanifolds, and semi-slant submanifolds of almost paracontact manifolds. The book also includes interesting results on slant curves and magnetic curves, where the latter represents trajectories moving on a Riemannian manifold under the action of magnetic field. It presents detailed information on the most recent advances in the area, making it of much value to scientists, educators and graduate students.Table of ContentsGeneral Properties of Slant Submanifolds in Contact Metric Manifolds.- Curvature Inequalities for Slant Submanifolds in Pointwise Kenmotsu Space Forms.- Some Basic Inequalities on Slant submanifolds in Space forms.- Geometry of Warped Product Semi-Slant Submanifolds in Almost Contact Metric Manifolds.- Slant and Semi Slant Submanifolds of Almost Contact and Paracontact Metric Manifolds.- The Slant Submanifolds in the Setting of Metric f-manifolds.- Slant, Semi-Slant and Pointwise Slant Submanifolds of 3-Structure Manifolds.- Slant Submanifolds of Conformal Sasakian Space Forms.- Slant Curves and Magnetic Curves.- Contact Slant Geometry of Submersions and Pointwise Slant and Semi-Slant Warped Product Submanifolds.
£82.49
Springer Verlag, Singapore Complex Geometry of Slant Submanifolds
Book SynopsisThis book contains an up-to-date survey and self-contained chapters on complex slant submanifolds and geometry, authored by internationally renowned researchers. The book discusses a wide range of topics, including slant surfaces, slant submersions, nearly Kaehler, locally conformal Kaehler, and quaternion Kaehler manifolds. It provides several classification results of minimal slant surfaces, quasi-minimal slant surfaces, slant surfaces with parallel mean curvature vector, pseudo-umbilical slant surfaces, and biharmonic and quasi biharmonic slant surfaces in Lorentzian complex space forms. Furthermore, this book includes new results on slant submanifolds of para-Hermitian manifolds. This book also includes recent results on slant lightlike submanifolds of indefinite Hermitian manifolds, which are of extensive use in general theory of relativity and potential applications in radiation and electromagnetic fields. Various open problems and conjectures on slant surfaces in complex space forms are also included in the book. It presents detailed information on the most recent advances in the area, making it valuable for scientists, educators and graduate students.Trade Review“As a global view, one must mention that many of the presented results in the above contributions are given with their complete proofs; this fact increases the value of the book and makes it excellent scientific material for the researchers in the field. Besides the high level and the valuable contents of the book, one must remark that the topic is of high interest for the specialists in differential geometry.” (Adela-Gabriela Mihai, zbMATH 1511.53002, 2023)Table of ContentsAn Overview of Recent Developments of Slant Submanifolds.- Slant Surfaces in Complex Space Forms.- Slant Geometry of Warped products in Kaehler and Nearly Kaehler Manifolds.- Slant Geometry of Riemannian Submersions from Almost Hermitian Manifolds.- Slant Submanifolds of the nearly Kaehler 6-sphere.- Slant submanifolds of para Hermitian manifolds.- Hemi-slant and Semi-slant Submanifolds in locally conformal Kaehler Manifolds.- Slant Submanifolds and Their Warped Product in Locally Product Riemannian Manifolds.- Slant Submanifolds of Quaternion Kaehler and Hyper-Kaehler Manifolds.- Geometry of Pointwise Slant Immersions in Almost Hermitian Manifolds.
£82.49
Springer Verlag, Singapore Einstein Constraints and Ricci Flow: A
Book SynopsisThis book contains a self-consistent treatment of a geometric averaging technique, induced by the Ricci flow, that allows comparing a given (generalized) Einstein initial data set with another distinct Einstein initial data set, both supported on a given closed n-dimensional manifold. This is a case study where two vibrant areas of research in geometric analysis, Ricci flow and Einstein constraints theory, interact in a quite remarkable way. The interaction is of great relevance for applications in relativistic cosmology, allowing a mathematically rigorous approach to the initial data set averaging problem, at least when data sets are given on a closed space-like hypersurface. The book does not assume an a priori knowledge of Ricci flow theory, and considerable space is left for introducing the necessary techniques. These introductory parts gently evolve to a detailed discussion of the more advanced results concerning a Fourier-mode expansion and a sophisticated heat kernel representation of the Ricci flow, both of which are of independent interest in Ricci flow theory. This work is intended for advanced students in mathematical physics and researchers alike. Table of ContentsIntroduction.- Geometric preliminaries.- Ricci flow background.- Ricci flow conjugation of initial data sets.- Concluding remarks.
£94.99
Springer Geometry of CRSubmanifolds and Applications
Book SynopsisChapter 1 Basics on Manifolds and Submanifolds.- Chapter 2 Basics on almost Hermitian manifolds and their subclasses.- Chapter 3 CR-submanifolds of Kahler manifolds.- Chapter 4 Inequalities for CR-submanifolds in Kähler manifolds.- Chapter 5 CR-warped products in Kähler manifolds.- Chapter 6 CR-submanifolds of locally conformal Kähler manifolds.- Chapter 7 CR-submanifolds of quaternion Kähler manifolds.- Chapter 8 CR-submanifolds of nearly Kähler manifolds.- Chapter 9CR-submanifolds of quasi-Kähler manifolds.- Chapter 10 Generic submanifolds of nearly Kähler manifolds.- Chapter 11 Generic submanifold of locally conformal Kähler manifolds.- Chapter 12 Basics of almost contact metric manifolds and their subclasses.- Chapter 13 Contact CR-submanifolds of trans-Sasakian manifolds.- Chapter 14 CContact CR-submanifolds of nearly Sasakian manifolds.- Chapter 15. Contact CR-submanifolds of nearly trans-Sasakian manifolds.- Chapter 16 Contact CR-submanifolds of quasi-Sasakian manifolds.- Chapter 17 Contact CR-submanifolds of ??-manifolds.- Chapter 18. Generic submanifolds of manifolds equipped with almost contactmetric structures.- Chapter 19. Submersion of CR-submanifolds.- Chapter 20 Contact CR-warped product submanifolds.- Chapter 22CR-submanifolds of indefinite Kahler manifolds and applications.
£143.99
Springer Differential Geometry
Book SynopsisCauchy–Riemann manifolds.- Pseudohermitian geometry.- Tangential Cauchy–Riemann complex.- Submanifolds of Hermitian and Sasakian manifolds.
£98.99
Springer Lagrangian Floer Theory and Its Deformations
Book SynopsisBased Loop Space and A8 Space.- A8 Algebras and Modules: Unfiltered Case.- Obstruction-Deformation Theory of Filtered A8 Bimodules.- Symplectic Geometry and Hamiltonian Dynamics.- Analysis of Pseudoholomorphic Curves and Bordered Stable Maps.- Critical Points of Potential Functions and Floer Cohomology.- Filtered Fukaya Category and its Bulk Deformations.
£71.24
Springer Differential Geometry
Book SynopsisChapter 1 Manifolds and Tensor Calculus.- Chapter 2 Differentiable Actions and Principal Bundles.- Chapter 3 Infinite dimensional Differential Geometry.
£134.99
Springer London Ltd Matrix Groups: An Introduction to Lie Group
Book SynopsisThis book offers a first taste of the theory of Lie groups, focusing mainly on matrix groups: closed subgroups of real and complex general linear groups. The first part studies examples and describes classical families of simply connected compact groups. The second section introduces the idea of a lie group and explores the associated notion of a homogeneous space using orbits of smooth actions. The emphasis throughout is on accessibility. Trade ReviewFrom the reviews of the first edition: MATHEMATICAL REVIEWS "This excellent book gives an easy introduction to the theory of Lie groups and Lie algebras by restricting the material to real and complex matrix groups. This provides the reader not only with a wealth of examples, but it also makes the key concepts much more concrete. This combination makes the material in this book more easily accessible for the readers with a limited background…The book is very easy to read and suitable for an elementary course in Lie theory aimed at advanced undergraduates or beginning graduate students…To summarize, this is a well-written book, which is highly suited as an introductory text for beginning graduate students without much background in differential geometry or for advanced undergraduates. It is a welcome addition to the literature in Lie theory." "This book is an introduction to Lie group theory with focus on the matrix case. … This book can be recommended to students, making Lie group theory more accessible to them." (A. Akutowicz, Zentralblatt MATH, Vol. 1009, 2003)Table of ContentsI. Basic Ideas and Examples.- 1. Real and Complex Matrix Groups.- 2. Exponentials, Differential Equations and One-parameter Subgroups.- 3. Tangent Spaces and Lie Algebras.- 4. Algebras, Quaternions and Quaternionic Symplectic Groups.- 5. Clifford Algebras and Spinor Groups.- 6. Lorentz Groups.- II. Matrix Groups as Lie Groups.- 7. Lie Groups.- 8. Homogeneous Spaces.- 9. Connectivity of Matrix Groups.- III. Compact Connected Lie Groups and their Classification.- 10. Maximal Tori in Compact Connected Lie Groups.- 11. Semi-simple Factorisation.- 12. Roots Systems, Weyl Groups and Dynkin Diagrams.- Hints and Solutions to Selected Exercises.
£29.99
Taylor & Francis Ltd Inverse Boundary Spectral Problems Monographs and Surveys in Pure and Applied Mathematics
a huge range and FREE tracked UK delivery on ALL orders.
£58.89
Taylor & Francis Ltd Classical and Discrete Differential Geometry
Book SynopsisThis book introduces differential geometry and cutting-edge findings from the discipline by incorporating both classical approaches and modern discrete differential geometry across all facets and applications, including graphics and imaging, physics and networks.With curvature as the centerpiece, the authors present the development of differential geometry, from curves to surfaces, thence to higher dimensional manifolds; and from smooth structures to metric spaces, weighted manifolds and complexes, and to images, meshes and networks. The first part of the book is a differential geometric study of curves and surfaces in the Euclidean space, enhanced while the second part deals with higher dimensional manifolds centering on curvature by exploring the various ways of extending it to higher dimensional objects and more general structures and how to return to lower dimensional constructs. The third part focuses on computational algorithms in algebraic topology and conformal geometry, applicable for surface parameterization, shape registration and structured mesh generation.The volume will be a useful reference for students of mathematics and computer science, as well as researchers and engineering professionals who are interested in graphics and imaging, complex networks, differential geometry and curvature.Table of ContentsSection I Differential Geometry, Classical and Discrete 1. Curves 2. Surfaces: Gauss Curvature – First Definition 3. Metrization of Gauss Curvature 4. Gauss Curvature and Theorema Egregium 5. The Mean and Gauss Curvature Flows 6. Geodesics 7. Geodesics and Curvature 8. The Equations of Compatibility 9. The Gauss-Bonnet Theorem and the Poincare Index Theorem 10. Higher Dimensional Curvatures 11. Higher Dimensional Curvatures 12. Discrete Ricci Curvature and Flow 13. Weighted Manifolds and Ricci Curvature Revisited Section II Differential Geometry, Computational Aspects 14. Algebraic Topology 15. Homology and Cohomology Group 16. Exterior Calculus and Hodge Decomposition 17. Harmonic Map 18. Riemann Surface 19. Conformal Mapping 20. Discrete Surface Curvature Flows 21. Mesh Generation Based on Abel-Jacobi Theorem Section III Appendices 22. Appendix A 23. Appendix B 24. Appendix C
£95.00
Taylor & Francis Ltd Classical and Discrete Differential Geometry
Book SynopsisThis book introduces differential geometry and cutting-edge findings from the discipline by incorporating both classical approaches and modern discrete differential geometry across all facets and applications, including graphics and imaging, physics and networks.With curvature as the centerpiece, the authors present the development of differential geometry, from curves to surfaces, thence to higher dimensional manifolds; and from smooth structures to metric spaces, weighted manifolds and complexes, and to images, meshes and networks. The first part of the book is a differential geometric study of curves and surfaces in the Euclidean space, enhanced while the second part deals with higher dimensional manifolds centering on curvature by exploring the various ways of extending it to higher dimensional objects and more general structures and how to return to lower dimensional constructs. The third part focuses on computational algorithms in algebraic topology and conformal geomet
£52.00
Cambridge University Press Bäcklund and Darboux Transformations
a huge range and FREE tracked UK delivery on ALL orders.
£51.29
Cambridge University Press Affine Differential Geometry Geometry of Affine Immersions 111 Cambridge Tracts in Mathematics Series Number 111
a huge range and FREE tracked UK delivery on ALL orders.
£49.39
Cambridge University Press Comparison Geometry
a huge range and FREE tracked UK delivery on ALL orders.
£51.29
Cambridge University Press Normal Forms and Bifurcation of Planar Vector Fields
a huge range and FREE tracked UK delivery on ALL orders.
£49.39
Cambridge University Press Symplectic Fibrations and Multiplicity Diagrams
a huge range and FREE tracked UK delivery on ALL orders.
£39.89
Cambridge University Press Lectures on Minimal Surfaces Volume 1 Volume 1 Introduction Fundamentals Geometry and Basic Boundary Value Problems
a huge range and FREE tracked UK delivery on ALL orders.
£50.12
Cambridge University Press A Sampler of RiemannFinsler Geometry 50 Mathematical Sciences Research Institute Publications Series Number 50
a huge range and FREE tracked UK delivery on ALL orders.
£45.59
Cambridge University Press Tight and Taut Submanifolds 32 Mathematical Sciences Research Institute Publications Series Number 32
a huge range and FREE tracked UK delivery on ALL orders.
£39.89
Cambridge University Press Differential Geometry and Lie Groups for Physicists
a huge range and FREE tracked UK delivery on ALL orders.
£61.74
Cambridge University Press The Geometrical Language of Continuum Mechanics
a huge range and FREE tracked UK delivery on ALL orders.
£78.85
Cambridge University Press Applicable Differential Geometry 0059 London Mathematical Society Lecture Note Series Series Number 59
a huge range and FREE tracked UK delivery on ALL orders.
£87.39
Cambridge University Press Applied Differential Geometry
a huge range and FREE tracked UK delivery on ALL orders.
£68.39
Cambridge University Press Algebraic Topology via Differential Geometry 99 London Mathematical Society Lecture Note Series Series Number 99
a huge range and FREE tracked UK delivery on ALL orders.
£50.99
Cambridge University Press LMSST 11 Spacetime Singularities An Introduction London Mathematical Society Student Texts Series Number 11
Book SynopsisThis book is an elementary introduction to the geometrical methods and notions used in special and general relativity. Particular emphasis is placed on the ideas concerned with the structure of spacetime and those which play a role in the Penrose–Hawking singularity theorems.Trade Review"...fills a need to introduce the singularity theorems, their concepts and techniques to seniors or beginning graduate students." Physics in CanadaTable of ContentsPreface; 1. The geometry of Minkowski spacetime; 2. Some concepts from relativistic mechanics; 3. More general spacetimes: gravity; 4. The proof of Hawking's theorem; References; Index.
£42.74
Cambridge University Press Twistors in Mathematics and Physics
a huge range and FREE tracked UK delivery on ALL orders.
£53.99
Cambridge University Press Affine Differential Geometry Geometry of Affine Immersions 111 Cambridge Tracts in Mathematics Series Number 111
a huge range and FREE tracked UK delivery on ALL orders.
£105.45
Cambridge University Press The Geometry of Total Curvature on Complete Open Surfaces 159 Cambridge Tracts in Mathematics Series Number 159
a huge range and FREE tracked UK delivery on ALL orders.
£105.45
Cambridge University Press An Introduction to Twistor Theory Second Edition 4 London Mathematical Society Student Texts Series Number 4
Book SynopsisThis book is an introduction to twistor theory and modern geometrical approaches to space-time structure at the graduate or advanced undergraduate level. The choice of material presented has evolved from graduate lectures given in London and Oxford and the authors have aimed to retain the informal tone of those lectures. The book will provide graduate students with an introduction to the literature of twistor theory, presupposing some knowledge of special relativity and differential geometry. It would also be of use for a short course on space-time structure independently of twistor theory. The physicist could be introduced gently to some of the mathematics which has proved useful in these areas, and the mathematician could be shown where sheaf cohomology and complex manifold theory can be used in physics.Trade Review' … the book is recommended to anyone seeking to get acquainted with the area.' American Scientist' … a certain amount of preliminary knowledge is assumed of the reader ... but anyone who has these prerequisites and who is interested in twistor theory could hardly do better than to start with this book.' Contemporary Physics'In all, the book provides a pleasant starting point for the study of this fascinating subject.' Dr F. E. Burstall, Contemporary PhysicsTable of Contents1. Introduction; 2. Review of tensor algebra; 3. Lorentzian spinors at a point; 4. Spinor fields; 5. Compactified Minkowski space; 6. The geometry of null congruences; 7. The geometry of twistor space; 8. Solving the zero rest mass equations I; 9. Sheaf cohomology; 10. Solving the zero rest mass equations II; 11. The twisted photon and Yang–Mills constructions; 12. The non-linear graviton; 13. Penrose's quasi-local momentum; 14. Cohomological functionals; 15. Further developments and conclusion; Appendix: The GHP equations.
£127.30
Cambridge University Press Singularities 201 London Mathematical Society Lecture Note Series Series Number 201
a huge range and FREE tracked UK delivery on ALL orders.
£61.71
Cambridge University Press Abelian Functions
a huge range and FREE tracked UK delivery on ALL orders.
£82.64
Cambridge University Press Introduction to Mbius Differential Geometry 300 London Mathematical Society Lecture Note Series Series Number 300
a huge range and FREE tracked UK delivery on ALL orders.
£74.13
Cambridge University Press A Primer of Algebraic DModules 33 London Mathematical Society Student Texts Series Number 33
Book SynopsisThe theory of D-modules is a rich area of study combining ideas from algebra and differential equations, and it has significant applications to diverse areas such as singularity theory and representation theory. This book introduces D-modules and their applications avoiding all unnecessary over-sophistication. It is aimed at beginning graduate students and the approach taken is algebraic, concentrating on the role of the Weyl algebra. Very few prerequisites are assumed, and the book is virtually self-contained. Exercises are included at the end of each chapter and the reader is given ample references to the more advanced literature. This is an excellent introduction to D-modules for all who are new to this area.Trade Review'I truly recommend this book, both for its mathematical content and for its light reading.' Bulletin of the London Mathematic Society'A readable account.' MathematikaTable of Contents1. The Weyl algebra; 2. Ideal structure of the Weyl algebra; 3. Rings of differential operators; 4. Jacobian conjectures; 5. Modules over the Weyl algebra; 6. Differential equations; 7. Graded and filtered modules; 8. Noetherian rings and modules; 9. Dimension and multiplicity; 10. Holonomic modules; 11. Characteristic varieties; 12. Tensor products; 13. External products; 14. Inverse image; 15. Embeddings; 16. Direct images; 17. Kashiwara's theorem; 18. Preservation of holonomy; 19. Stability of differential equations; 20. Automatic proof of identities.
£116.85
Cambridge University Press A Primer of Algebraic DModules 33 London Mathematical Society Student Texts Series Number 33
a huge range and FREE tracked UK delivery on ALL orders.
£42.74
Cambridge University Press Spinning Tops
a huge range and FREE tracked UK delivery on ALL orders.
£87.39
Cambridge University Press Contact and Symplectic Geometry
a huge range and FREE tracked UK delivery on ALL orders.
£105.45
Cambridge University Press From Calculus to Cohomology De Rham Cohomology and Characteristic Classes
a huge range and FREE tracked UK delivery on ALL orders.
£44.99
Cambridge University Press Comparison Geometry
a huge range and FREE tracked UK delivery on ALL orders.
£105.45
Cambridge University Press Tight and Taut Submanifolds
a huge range and FREE tracked UK delivery on ALL orders.
£122.55
Cambridge University Press Mixed Hodge Structures and Singularities 132 Cambridge Tracts in Mathematics Series Number 132
a huge range and FREE tracked UK delivery on ALL orders.
£105.45
Cambridge University Press Geometric Analysis and Lie Theory in Mathematics and Physics 11 Australian Mathematical Society Lecture Series Series Number 11
a huge range and FREE tracked UK delivery on ALL orders.
£56.74
Cambridge University Press Elementary Geometry of Algebraic Curves
a huge range and FREE tracked UK delivery on ALL orders.
£104.50
Cambridge University Press Singularity Theory Proceedings of the European Singularities Conference August 1996 Liverpool and Dedicated to CTC Wall on the Occasion of his Lecture Note Series Series Number 263
a huge range and FREE tracked UK delivery on ALL orders.
£61.71
