Differential and Riemannian geometry Books
Cambridge University Press LMS 257 Intro to Noncomm Diff Geom London Mathematical Society Lecture Note Series Series Number 257
This thoroughly revised second edition includes new material on reality conditions and linear connections plus examples from Jordanian deformations and quantum Euclidean spaces. Assuming only some familiarity with ordinary differential geometry and the theory of fibre bundles, this book is accessible to graduate students and newcomers to this field.
£68.33
Cambridge University Press Geometric Partial Differential Equations and Image Analysis
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£46.54
Cambridge University Press Synthetic Differential Geometry 333 London Mathematical Society Lecture Note Series Series Number 333
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£71.65
Cambridge University Press Lectures on Khler Geometry 69 London Mathematical Society Student Texts Series Number 69
Book SynopsisKÃhler geometry is a beautiful and intriguing area of mathematics, of substantial research interest to both mathematicians and physicists. This self-contained graduate text provides a concise and accessible introduction to the topic. The book begins with a review of basic differential geometry, before moving on to a description of complex manifolds and holomorphic vector bundles. KÃhler manifolds are discussed from the point of view of Riemannian geometry, and Hodge and Dolbeault theories are outlined, together with a simple proof of the famous KÃhler identities. The final part of the text studies several aspects of compact KÃhler manifolds: the Calabi conjecture, WeitzenbÃck techniques, CalabiâYau manifolds, and divisors. All sections of the book end with a series of exercises and students and researchers working in the fields of algebraic and differential geometry and theoretical physics will find that the book provides them with a sound understanding of this theory.Trade Review"A concise and well-written modern introduction to the subject." Tatyana E. Foth, Mathematical ReviewsTable of ContentsIntroduction; Part I. Basics on Differential Geometry: 1. Smooth manifolds; 2. Tensor fields on smooth manifolds; 3. The exterior derivative; 4. Principal and vector bundles; 5. Connections; 6. Riemannian manifolds; Part II. Complex and Hermitian Geometry: 7. Complex structures and holomorphic maps; 8. Holomorphic forms and vector fields; 9. Complex and holomorphic vector bundles; 10. Hermitian bundles; 11. Hermitian and Kähler metrics; 12. The curvature tensor of Kähler manifolds; 13. Examples of Kähler metrics; 14. Natural operators on Riemannian and Kähler manifolds; 15. Hodge and Dolbeault theory; Part III. Topics on Compact Kähler Manifolds: 16. Chern classes; 17. The Ricci form of Kähler manifolds; 18. The Calabi–Yau theorem; 19. Kähler–Einstein metrics; 20. Weitzenböck techniques; 21. The Hirzebruch–Riemann–Roch formula; 22. Further vanishing results; 23. Ricci–flat Kähler metrics; 24. Explicit examples of Calabi–Yau manifolds; Bibliography; Index.
£38.94
Cambridge University Press Curved Spaces From Classical Geometries to Elementary Differential Geometry
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£38.94
Cambridge University Press Elementary Differential Geometry
Book SynopsisThis easy-to-read, generously illustrated textbook is an elementary introduction to differential geometry with emphasis on geometric results, preparing students for more advanced study. Clearly developed arguments and proofs, colour illustrations, and over 100 exercises and solutions make this book ideal for courses and self-study.Trade Review'The book under review presents a detailed and pedagogically excellent study about differential geometry of curves and surfaces by introducing modern concepts and techniques so that it can serve as a transition book between classical differential geometry and contemporary theory of manifolds. the concepts are discussed through historical problems as well as motivating examples and applications. Moreover, constructive examples are given in such a way that the reader can easily develop some understanding for extensions, generalizations and adaptations of classical differential geometry to global differential geometry.' Zentralblatt MATHTable of ContentsPreface; Notation; 1. Euclidean geometry; 2. Curve theory; 3. Classical surface theory; 4. The inner geometry of surfaces; 5. Geometry and analysis; 6. Geometry and topology; 7. Hints for solutions to (most) exercises; Formulary; List of symbols; References; Index.
£47.49
Cambridge University Press Geometry of Riemann Surfaces Proceedings of the Anogia Conference to Celebrate the 65th Birthday of William J Harvey 368 London Mathematical Society Lecture Note Series Series Number 368
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£55.91
Cambridge University Press Spinning Tops A Course on Integrable Systems 51 Cambridge Studies in Advanced Mathematics Series Number 51
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£48.44
Cambridge University Press Bäcklund and Darboux Transformations
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£125.40
Cambridge University Press Contact Geometry and Nonlinear Differential Equations 101 Encyclopedia of Mathematics and its Applications Series Number 101
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£128.25
Cambridge University Press Curved Spaces
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£85.49
Cambridge University Press Kstability of Fano Varieties
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£112.50
Cambridge University Press The Geometry of Celestial Mechanics 83 London Mathematical Society Student Texts Series Number 83
Book SynopsisCelestial mechanics is the branch of mathematical astronomy devoted to studying the motions of celestial bodies subject to the Newtonian law of gravitation. This mathematical introductory textbook reveals that even the most basic question in celestial mechanics, the Kepler problem, leads to a cornucopia of geometric concepts: conformal and projective transformations, spherical and hyperbolic geometry, notions of curvature, and the topology of geodesic flows. For advanced undergraduate and beginning graduate students, this book explores the geometric concepts underlying celestial mechanics and is an ideal companion for introductory courses. The focus on the history of geometric ideas makes it perfect supplementary reading for students in elementary geometry and topology. Numerous exercises, historical notes and an extensive bibliography provide all the contextual information required to gain a solid grounding in celestial mechanics.Trade Review'The Geometry of Celestial Mechanics offers a fresh look at one of the most celebrated topics of mathematics … I would gladly recommend this book …' Anil Venkatesh, Mathematical Association of America Reviews'Because much of the geometric theory, the many historical notes, and the exercises in the book are not found in other contemporary books on celestial mechanics, the book makes a great addition to the library of anyone with an interest in celestial mechanics.' Lennard Bakker, Zentralblatt MATH'The book fulfills the authors quest, as stated in the preface, 'for students to experience differential geometry and topology 'in action' (in the historical context of celestial mechanics) rather than as abstractions in traditional courses on the two subjects.' Lennard F. Bakker, Mathematical ReviewsTable of ContentsPreface; 1. The central force problem; 2. Conic sections; 3. The Kepler problem; 4. The dynamics of the Kepler problem; 5. The two-body problem; 6. The n-body problem; 7. The three-body problem; 8. The differential geometry of the Kepler problem; 9. Hamiltonian mechanics; 10. The topology of the Kepler problem; Bibliography; Index.
£35.14
Lulu.com Basic procedures in ordinary differential
Book Synopsis
£14.81
