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Books > Science & Mathematics > Mathematics > Geometry > Differential & Riemannian geometry

Gauge Theory in Higher Dimensions (Paperback): Henrique N Sa Earp, Daniel G Fadel Gauge Theory in Higher Dimensions (Paperback)
Henrique N Sa Earp, Daniel G Fadel
R456 Discovery Miles 4 560 Ships in 10 - 15 working days
Advances in the Theory of Riemann Surfaces. (AM-66), Volume 66 (Paperback): Lars Valerian Ahlfors, Lipman Bers Advances in the Theory of Riemann Surfaces. (AM-66), Volume 66 (Paperback)
Lars Valerian Ahlfors, Lipman Bers
R2,402 Discovery Miles 24 020 Ships in 12 - 19 working days

The present volume contains all but two of the papers read at the conference, as well as a few papers and short notes submitted afterwards. We hope that it reflects faithfully the present state of research in the fields covered, and that it may provide an access to these fields for future investigations.

Riemannsche Geometrie Im Grossen (German, Paperback, 2nd 2. Aufl. 1975 ed.): Detlef Gromoll, Wilhelm Klingenberg, Wolfgang Meyer Riemannsche Geometrie Im Grossen (German, Paperback, 2nd 2. Aufl. 1975 ed.)
Detlef Gromoll, Wilhelm Klingenberg, Wolfgang Meyer
R1,269 Discovery Miles 12 690 Ships in 10 - 15 working days

Aus dem Vorwort: "Globale Probleme der Differentialgeometrie erfreuen sich eines immer noch wachsenden Interesses. Gerade in der Riemannschen Geometrie hat die Frage nach Beziehungen zwischen Riemannscher und topologischer Struktur in neuerer Zeit zu vielen schonen und uberraschenden Einsichten gefuhrt. Dabei denken wir hier vor allem an den Problemkreis: Welche topologischen Invarianten werden charakterisiert durch eine der wichtigsten isometrischen Invarianten, die Krummung? Ziel der folgenden Noten ist, einige zentrale Resultate in dieser Richtung darzustellen.... Wir haben uns bemuht, die Darstellung moglichst elementar und in sich abgeschlossen zu halten und einen einfachen leistungsfahigen Kalkul zu entwickeln.""

Vorlesungen UEber Asymptotische Reihen (German, Paperback, 1972 ed.): F. Pittnauer Vorlesungen UEber Asymptotische Reihen (German, Paperback, 1972 ed.)
F. Pittnauer
R872 Discovery Miles 8 720 Ships in 10 - 15 working days
Beweismethoden Der Differentialgeometrie Im Grossen (German, Paperback, 1973 ed.): H. Huck, R. Roitzsch, U Simon, W Vortisch,... Beweismethoden Der Differentialgeometrie Im Grossen (German, Paperback, 1973 ed.)
H. Huck, R. Roitzsch, U Simon, W Vortisch, R. Walden, …
R867 Discovery Miles 8 670 Ships in 10 - 15 working days
General Expressions for the 5-Dimensional Riemann-Christoffel, Ricci, and Einstein Curvature Tensors and Riemann Curvature... General Expressions for the 5-Dimensional Riemann-Christoffel, Ricci, and Einstein Curvature Tensors and Riemann Curvature Scalar Allowing for Non-Vanishing Torsion and Arbitrary Functional Dependence on the Fifth Dimension (Paperback)
Carey Briggs
R425 Discovery Miles 4 250 Ships in 10 - 15 working days
Quantum Gravity in a Nutshell1 (Paperback): Balungi Francis Quantum Gravity in a Nutshell1 (Paperback)
Balungi Francis
R799 Discovery Miles 7 990 Ships in 10 - 15 working days
Blow-up Theory for Elliptic PDEs in Riemannian Geometry (MN-45) (Paperback, New): Olivier Druet, Emmanuel Hebey, Frederic Robert Blow-up Theory for Elliptic PDEs in Riemannian Geometry (MN-45) (Paperback, New)
Olivier Druet, Emmanuel Hebey, Frederic Robert
R1,878 Discovery Miles 18 780 Ships in 12 - 19 working days

Elliptic equations of critical Sobolev growth have been the target of investigation for decades because they have proved to be of great importance in analysis, geometry, and physics. The equations studied here are of the well-known Yamabe type. They involve Schrodinger operators on the left hand side and a critical nonlinearity on the right hand side.

A significant development in the study of such equations occurred in the 1980s. It was discovered that the sequence splits into a solution of the limit equation--a finite sum of bubbles--and a rest that converges strongly to zero in the Sobolev space consisting of square integrable functions whose gradient is also square integrable. This splitting is known as the integral theory for blow-up. In this book, the authors develop the pointwise theory for blow-up. They introduce new ideas and methods that lead to sharp pointwise estimates. These estimates have important applications when dealing with sharp constant problems (a case where the energy is minimal) and compactness results (a case where the energy is arbitrarily large). The authors carefully and thoroughly describe pointwise behavior when the energy is arbitrary.

Intended to be as self-contained as possible, this accessible book will interest graduate students and researchers in a range of mathematical fields."

Theory of Lie Derivatives and Its Applications (Paperback): Kentaro Yano Theory of Lie Derivatives and Its Applications (Paperback)
Kentaro Yano
R636 R580 Discovery Miles 5 800 Save R56 (9%) Ships in 10 - 15 working days
Introduction to Riemannian Manifolds (Hardcover, 2nd ed. 2018): John M. Lee Introduction to Riemannian Manifolds (Hardcover, 2nd ed. 2018)
John M. Lee
R1,646 R1,501 Discovery Miles 15 010 Save R145 (9%) Ships in 9 - 17 working days

This text focuses on developing an intimate acquaintance with the geometric meaning of curvature and thereby introduces and demonstrates all the main technical tools needed for a more advanced course on Riemannian manifolds. It covers proving the four most fundamental theorems relating curvature and topology: the Gauss-Bonnet Theorem, the Cartan-Hadamard Theorem, Bonnet's Theorem, and a special case of the Cartan-Ambrose-Hicks Theorem.

Differential Geometry in Physics (Paperback): Gabriel Lugo Differential Geometry in Physics (Paperback)
Gabriel Lugo
R735 Discovery Miles 7 350 Ships in 12 - 19 working days

Differential Geometry in Physics is a treatment of the mathematical foundations of the theory of general relativity and gauge theory of quantum fields. The material is intended to help bridge the gap that often exists between theoretical physics and applied mathematics. The approach is to carve an optimal path to learning this challenging field by appealing to the much more accessible theory of curves and surfaces. The transition from classical differential geometry as developed by Gauss, Riemann and other giants, to the modern approach, is facilitated by a very intuitive approach that sacrifices some mathematical rigor for the sake of understanding the physics. The book features numerous examples of beautiful curves and surfaces often reflected in nature, plus more advanced computations of trajectory of particles in black holes. Also embedded in the later chapters is a detailed description of the famous Dirac monopole and instantons. Features of this book: * Chapters 1-4 and chapter 5 comprise the content of a one-semester course taught by the author for many years. * The material in the other chapters has served as the foundation for many master's thesis at University of North Carolina Wilmington for students seeking doctoral degrees. * An open access ebook edition is available at Open UNC (https: //openunc.org) * The book contains over 80 illustrations, including a large array of surfaces related to the theory of soliton waves that does not commonly appear in standard mathematical texts on differential geometry.

Differential Geometry (Paperback, New Ed): J.J. Stoker Differential Geometry (Paperback, New Ed)
J.J. Stoker
R5,202 Discovery Miles 52 020 Ships in 12 - 19 working days

This classic work is now available in an unabridged paperback edition. Stoker makes this fertile branch of mathematics accessible to the nonspecialist by the use of three different notations: vector algebra and calculus, tensor calculus, and the notation devised by Cartan, which employs invariant differential forms as elements in an algebra due to Grassman, combined with an operation called exterior differentiation. Assumed are a passing acquaintance with linear algebra and the basic elements of analysis.

Geodesic Math and How to Use It (Paperback, 2 Revised Edition): Hugh Kenner Geodesic Math and How to Use It (Paperback, 2 Revised Edition)
Hugh Kenner
R862 R791 Discovery Miles 7 910 Save R71 (8%) Ships in 12 - 19 working days

It was 1976--twenty-five years after R. Buckminster Fuller introduced geodesic domes when literary critic Hugh Kenner published this fully-illustrated practical manual for their construction. Now, some twenty-five years later, "Geodesic Math and How to Use It "again presents a systematic method of design and provides a step-by-step method for producing mathematical specifications for orthodox geodesic domes, as well as for a variety of elliptical, super-elliptical, and other nonspherical contours.
Out of print since 1990, "Geodesic Math and How To Use It "is California's most requested backlist title. This edition is fully illustrated with complete original appendices.

Zur Differentialgeometrie Von Flachen Im N-Dimensionalen Euklidischen Raum. Adjungierte Extremalflachen (German, Paperback,... Zur Differentialgeometrie Von Flachen Im N-Dimensionalen Euklidischen Raum. Adjungierte Extremalflachen (German, Paperback, 1940 ed.)
Helmuth Gericke
R1,327 Discovery Miles 13 270 Ships in 10 - 15 working days

Dieser Buchtitel ist Teil des Digitalisierungsprojekts Springer Book Archives mit Publikationen, die seit den Anfangen des Verlags von 1842 erschienen sind. Der Verlag stellt mit diesem Archiv Quellen fur die historische wie auch die disziplingeschichtliche Forschung zur Verfugung, die jeweils im historischen Kontext betrachtet werden mussen. Dieser Titel erschien in der Zeit vor 1945 und wird daher in seiner zeittypischen politisch-ideologischen Ausrichtung vom Verlag nicht beworben.

Generalized Ricci Flow (Paperback): Mario Garcia-Fernandez, Jeffrey Streets Generalized Ricci Flow (Paperback)
Mario Garcia-Fernandez, Jeffrey Streets
R1,482 Discovery Miles 14 820 Ships in 12 - 19 working days

The generalized Ricci flow is a geometric evolution equation which has recently emerged from investigations into mathematical physics, Hitchin's generalized geometry program, and complex geometry. This book gives an introduction to this new area, discusses recent developments, and formulates open questions and conjectures for future study. The text begins with an introduction to fundamental aspects of generalized Riemannian, complex, and Kahler geometry. This leads to an extension of the classical Einstein-Hilbert action, which yields natural extensions of Einstein and Calabi-Yau structures as `canonical metrics' in generalized Riemannian and complex geometry. The book then introduces generalized Ricci flow as a tool for constructing such metrics and proves extensions of the fundamental Hamilton/Perelman regularity theory of Ricci flow. These results are refined in the setting of generalized complex geometry, where the generalized Ricci flow is shown to preserve various integrability conditions, taking the form of pluriclosed flow and generalized Kahler-Ricci flow, leading to global convergence results and applications to complex geometry. Finally, the book gives a purely mathematical introduction to the physical idea of T-duality and discusses its relationship to generalized Ricci flow. The book is suitable for graduate students and researchers with a background in Riemannian and complex geometry who are interested in the theory of geometric evolution equations.

Discontinuous Groups and Riemann Surfaces (AM-79), Volume 79 - Proceedings of the 1973 Conference at the University of... Discontinuous Groups and Riemann Surfaces (AM-79), Volume 79 - Proceedings of the 1973 Conference at the University of Maryland. (AM-79) (Paperback)
Leon Greenberg
R3,867 Discovery Miles 38 670 Ships in 10 - 15 working days

Study 79 contains a collection of papers presented at the Conference on Discontinuous Groups and Ricmann Surfaces at the University of Maryland, May 21-25, 1973. The papers, by leading authorities, deal mainly with Fuchsian and Kleinian groups, Teichmuller spaces, Jacobian varieties, and quasiconformal mappings. These topics are intertwined, representing a common meeting of algebra, geometry, and analysis.

Der Ricci-Kalkul - Eine Einfuhrung in Die Neueren Methoden Und Probleme Der Mehrdimensionalen Differentialgeometrie (German,... Der Ricci-Kalkul - Eine Einfuhrung in Die Neueren Methoden Und Probleme Der Mehrdimensionalen Differentialgeometrie (German, Paperback, Softcover Reprint of the Original 1st 1924 ed.)
J.A. Schouten; Edited by R. Courant
R1,645 Discovery Miles 16 450 Ships in 10 - 15 working days

Bei der Herausgabe dieses Buches mochte ich an dieser Stelle Herrn L. Berwald in Prag, Herrn D. J. Struik in Delft und Herrn R. WeitzenbOck in Blaricum, die mich durch das Mitlesen der Korrek turen sowie durch viele wichtige Bemerkungen aufs wirksamste unter stiitzt haben, meinen verbindlichsten Dank aussprechen. Einen freundschaftlichen GruB dem mathematischen Kreise in Hamburg, wo es mir vergonnt war, im Sommersemester dieses Jahres iiber die mehrdimensionale Affingeometrie zu lesen. Manche anregende Bemerkung zum vierten Abschnitt brachte mir diese schOne Zeit, die mir immer in freudiger Erinnerung bleiben wird. Der Verlagsbuchhandlung Julius Springer meinen besonderen Dank fiir die sorgfaltige Behandlung der Korrekturen, die mir die sauere Arbeit des Korrigierens fast zu einer Freude machte. Delft, im Dezember 1923. J. A. Schouten. Inhaltsverzeichnis. Seite Einleitung . . . 1 I. Der algebraische Tei des Kalkiils. 1. Die allgemeine Mannigfaltigkeit Xn . . 8 2. Der Begriff der Ubertragung . . . . . . 9 3. Die euklidischaffine Mannigfaltigkeit En . 9 4. Kontravariante und kovariante Vektoren . 12 5. Kontravariante und kovariante Bivektoren, Trivektoren usw. 17 6. Geometrische Darstellung kontravarianter und kovarianter p-Vektoren bei Einschrankung der Gruppe 20 7. Allgemeine GriiBen . . . . . . . . . . 23 8. Die Uberschiebungen . . . . . . . . . 28 9. Geometrische Darstellung der Tensoren 32 10. GriiBen zweiten Grades und lineare Transformationen 33 11. Die Einfiihrung einer MaBbestimmung in der En . . 36 12. Die Fundamentaltensoren. . . . . . . . . . . . . 38 13. Geometrische Darstellung alternierender GriiBen bei der orthogonalen und rotationalen Gruppe. Metrische Eigenschaften . . . . . . . . 41 14. Metrische Eigenschaften eines Te-nsors zweiten Grades. . . . . . ."

An Excursion Through Discrete Differential Geometry (Paperback): Keenan Crane An Excursion Through Discrete Differential Geometry (Paperback)
Keenan Crane
R3,953 R3,135 Discovery Miles 31 350 Save R818 (21%) Ships in 12 - 19 working days

Discrete Differential Geometry (DDG) is an emerging discipline at the boundary between mathematics and computer science. It aims to translate concepts from classical differential geometry into a language that is purely finite and discrete, and can hence be used by algorithms to reason about geometric data. In contrast to standard numerical approximation, the central philosophy of DDG is to faithfully and exactly preserve key invariants of geometric objects at the discrete level. This process of translation from smooth to discrete helps to both illuminate the fundamental meaning behind geometric ideas and provide useful algorithmic guarantees. This volume is based on lectures delivered at the 2018 AMS Short Course ``Discrete Differential Geometry,'' held January 8-9, 2018, in San Diego, California. The papers in this volume illustrate the principles of DDG via several recent topics: discrete nets, discrete differential operators, discrete mappings, discrete conformal geometry, and discrete optimal transport.

Einleitung in Die Theorie Der Invarianten Linearer Transformationen Auf Grund Der Vektorenrechnung (German, Paperback,... Einleitung in Die Theorie Der Invarianten Linearer Transformationen Auf Grund Der Vektorenrechnung (German, Paperback, Softcover Reprint of the Original 1st 1923 ed.)
E. Study
R1,613 Discovery Miles 16 130 Ships in 10 - 15 working days
Riemann Problems and Jupyter Solutions (Paperback): David I. Ketcheson, Randall J LeVeque, Mauricio J. del Razo Riemann Problems and Jupyter Solutions (Paperback)
David I. Ketcheson, Randall J LeVeque, Mauricio J. del Razo
R1,812 R1,644 Discovery Miles 16 440 Save R168 (9%) Ships in 12 - 19 working days

This book addresses an important class of mathematical problems (the Riemann problem) for first-order hyperbolic partial differential equations (PDEs), which arise when modeling wave propagation in applications such as fluid dynamics, traffic flow, acoustics, and elasticity. It covers the fundamental ideas related to classical Riemann solutions, including their special structure and the types of waves that arise, as well as the ideas behind fast approximate solvers for the Riemann problem. The emphasis is on the general ideas, but each chapter delves into a particular application. The book is available in electronic form as a collection of Jupyter notebooks that contain executable computer code and interactive figures and animations.

Floating Mandalas Adult Coloring Book - 60 Floating 3D Mandalas to color (Paperback): Tabitha L Barnett Floating Mandalas Adult Coloring Book - 60 Floating 3D Mandalas to color (Paperback)
Tabitha L Barnett
R322 Discovery Miles 3 220 Ships in 10 - 15 working days
Preschool Math Workbook For Toddlers (Paperback): Caterpillar Curl Preschool Math Workbook For Toddlers (Paperback)
Caterpillar Curl
R303 Discovery Miles 3 030 Ships in 10 - 15 working days
Riemannian Geometry (Hardcover, 1st ed. 1992, Corr. 14th printing 2013): Francis Flaherty Riemannian Geometry (Hardcover, 1st ed. 1992, Corr. 14th printing 2013)
Francis Flaherty; Manfredo P Do Carmo
R1,184 Discovery Miles 11 840 Ships in 9 - 17 working days

This text has been adopted at: University of Pennsylvania, Philadelphia University of Connecticut, Storrs Duke University, Durham, NC California Institute of Technology, Pasadena University of Washington, Seattle Swarthmore College, Swarthmore, PA University of Chicago, IL University of Michigan, Ann Arbor "In the reviewer's opinion, this is a superb book which makes learning a real pleasure." Revue Romaine de Mathematiques Pures et Appliquees "This main-stream presentation of differential geometry serves well for a course on Riemannian geometry, and it is complemented by many annotated exercises." Monatshefte F. Mathematik "This is one of the best (if even not just the best) book for those who want to get a good, smooth and quick, but yet thorough introduction to modern Riemannian geometry." Publicationes Mathematicae Contents: Differential Manifolds * Riemannian Metrics * Affine Connections; Riemannian Connections * Geodesics; Convex Neighborhoods * Curvature * Jacobi Fields * Isometric Immersions * Complete Manifolds; Hopf-Rinow and Hadamard Theorems * Spaces of Constant Curvature * Variations of Energy * The Rauch Comparison Theorem * The Morse Index Theorem * The Fundamental Group of Manifolds of Negative Curvature * The Sphere Theorem * Index Series: Mathematics: Theory and Applications

Differential Calculus - A Mathematical Analysis for Applied Sciences (Paperback): Alix Fuentes Differential Calculus - A Mathematical Analysis for Applied Sciences (Paperback)
Alix Fuentes
R1,617 Discovery Miles 16 170 Ships in 10 - 15 working days
Solutions of Exercises of Introduction to Differential Geometry of Space Curves and Surfaces (Paperback): Taha Sochi Solutions of Exercises of Introduction to Differential Geometry of Space Curves and Surfaces (Paperback)
Taha Sochi
R600 Discovery Miles 6 000 Ships in 10 - 15 working days
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