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Books > Science & Mathematics > Mathematics > Geometry > Analytic geometry

Algebraic and Geometric Topology - Proceedings of a Conference held at Rutgers University, New Brunswick, USA, July 6-13, 1983... Algebraic and Geometric Topology - Proceedings of a Conference held at Rutgers University, New Brunswick, USA, July 6-13, 1983 (Paperback, 1985 ed.)
Andrew Ranicki, Norman Levitt, Frank Quinn
R1,790 Discovery Miles 17 900 Ships in 10 - 15 working days
Classifying Immersions into R4 over Stable Maps of 3-Manifolds into R2 (Paperback, 1985 ed.): Harold Levine Classifying Immersions into R4 over Stable Maps of 3-Manifolds into R2 (Paperback, 1985 ed.)
Harold Levine
R1,171 Discovery Miles 11 710 Ships in 10 - 15 working days
Global Analysis. Studies and Applications I (Paperback, 1984 ed.): Y.G. Borisovich, Y. E. Gliklikh Global Analysis. Studies and Applications I (Paperback, 1984 ed.)
Y.G. Borisovich, Y. E. Gliklikh
R1,648 Discovery Miles 16 480 Ships in 10 - 15 working days
Riemann Surfaces by Way of Complex Analytic Geometry (Hardcover, New ed.): Dror Varolin Riemann Surfaces by Way of Complex Analytic Geometry (Hardcover, New ed.)
Dror Varolin
R2,497 Discovery Miles 24 970 Ships in 12 - 19 working days

This book establishes the basic function theory and complex geometry of Riemann surfaces, both open and compact. Many of the methods used in the book are adaptations and simplifications of methods from the theories of several complex variables and complex analytic geometry and would serve as excellent training for mathematicians wanting to work in complex analytic geometry. After three introductory chapters, the book embarks on its central, and certainly most novel, goal of studying Hermitian holomorphic line bundles and their sections. Among other things, finite-dimensionality of spaces of sections of holomorphic line bundles of compact Riemann surfaces and the triviality of holomorphic line bundles over Riemann surfaces are proved, with various applications. Perhaps the main result of the book is Hoermander's Theorem on the square-integrable solution of the Cauchy-Riemann equations. The crowning application is the proof of the Kodaira and Narasimhan Embedding Theorems for compact and open Riemann surfaces. The intended reader has had first courses in real and complex analysis, as well as advanced calculus and basic differential topology (though the latter subject is not crucial). As such, the book should appeal to a broad portion of the mathematical and scientific community.

Continuous and Discrete Dynamics near Manifolds of Equilibria (Paperback, 1984 ed.): B. Aulbach Continuous and Discrete Dynamics near Manifolds of Equilibria (Paperback, 1984 ed.)
B. Aulbach
R1,163 Discovery Miles 11 630 Ships in 10 - 15 working days
Bordism of Diffeomorphisms and Related Topics (Paperback, 1984 ed.): M. Kreck Bordism of Diffeomorphisms and Related Topics (Paperback, 1984 ed.)
M. Kreck; Appendix by N.W. Stoltzfus
R1,164 Discovery Miles 11 640 Ships in 10 - 15 working days
Algebraic Threefolds - Proceedings of the 2nd 1981 Session of the Centro Internazionale Matematico Estivo (C.I.M.E.), Held at... Algebraic Threefolds - Proceedings of the 2nd 1981 Session of the Centro Internazionale Matematico Estivo (C.I.M.E.), Held at Varenna, Italy, June 15-23, 1981 (English, French, Paperback, 1982 ed.)
Alberto Conte
R1,753 Discovery Miles 17 530 Ships in 10 - 15 working days
Vector Fields and Other Vector Bundle Morphisms - A Singularity Approach (Paperback, 1981 ed.): Ulrich Koschorke Vector Fields and Other Vector Bundle Morphisms - A Singularity Approach (Paperback, 1981 ed.)
Ulrich Koschorke
R1,649 Discovery Miles 16 490 Ships in 10 - 15 working days
Homotopy Equivalences of 3-Manifolds with Boundaries (Paperback, 1979 ed.): K. Johannson Homotopy Equivalences of 3-Manifolds with Boundaries (Paperback, 1979 ed.)
K. Johannson
R1,745 Discovery Miles 17 450 Ships in 10 - 15 working days
Topology of Low-Dimensional Manifolds - Proceedings of the Second Sussex Conference, 1977 (Paperback, 1979 ed.): R. Fenn Topology of Low-Dimensional Manifolds - Proceedings of the Second Sussex Conference, 1977 (Paperback, 1979 ed.)
R. Fenn
R1,114 Discovery Miles 11 140 Ships in 10 - 15 working days
Invariant Manifolds (Paperback, 1977 ed.): M.W. Hirsch, C.C. Pugh, M. Shub Invariant Manifolds (Paperback, 1977 ed.)
M.W. Hirsch, C.C. Pugh, M. Shub
R866 Discovery Miles 8 660 Ships in 10 - 15 working days
Smooth S1 Manifolds (Paperback, 1976 ed.): Wolf Iberkleid, Ted Petrie Smooth S1 Manifolds (Paperback, 1976 ed.)
Wolf Iberkleid, Ted Petrie
R1,171 Discovery Miles 11 710 Ships in 10 - 15 working days
Topological Stability of Smooth Mappings (Paperback, 1976 ed.): C. G. Gibson, K. Wirthmuller, A.A.Du Plessis, E.J.N. Looijenga Topological Stability of Smooth Mappings (Paperback, 1976 ed.)
C. G. Gibson, K. Wirthmuller, A.A.Du Plessis, E.J.N. Looijenga
R1,169 Discovery Miles 11 690 Ships in 10 - 15 working days
Differential Topology (Paperback, Softcover reprint of the original 1st ed. 1976): Morris W. Hirsch Differential Topology (Paperback, Softcover reprint of the original 1st ed. 1976)
Morris W. Hirsch
R2,364 Discovery Miles 23 640 Ships in 10 - 15 working days

"A very valuable book. In little over 200 pages, it presents a well-organized and surprisingly comprehensive treatment of most of the basic material in differential topology, as far as is accessible without the methods of algebraic topology....There is an abundance of exercises, which supply many beautiful examples and much interesting additional information, and help the reader to become thoroughly familiar with the material of the main text." -MATHEMATICAL REVIEWS

Stable Mappings and Their Singularities (Paperback, Softcover reprint of the original 1st ed. 1973): M. Golubitsky, V. Guillemin Stable Mappings and Their Singularities (Paperback, Softcover reprint of the original 1st ed. 1973)
M. Golubitsky, V. Guillemin
R2,604 Discovery Miles 26 040 Ships in 10 - 15 working days

This book aims to present to first and second year graduate students a beautiful and relatively accessible field of mathematics-the theory of singu larities of stable differentiable mappings. The study of stable singularities is based on the now classical theories of Hassler Whitney, who determined the generic singularities (or lack of them) of Rn ~ Rm (m ~ 2n - 1) and R2 ~ R2, and Marston Morse, for mappings who studied these singularities for Rn ~ R. It was Rene Thorn who noticed (in the late '50's) that all of these results could be incorporated into one theory. The 1960 Bonn notes of Thom and Harold Levine (reprinted in [42]) gave the first general exposition of this theory. However, these notes preceded the work of Bernard Malgrange [23] on what is now known as the Malgrange Preparation Theorem-which allows the relatively easy computation of normal forms of stable singularities as well as the proof of the main theorem in the subject-and the definitive work of John Mather. More recently, two survey articles have appeared, by Arnold [4] and Wall [53], which have done much to codify the new material; still there is no totally accessible description of this subject for the beginning student. We hope that these notes will partially fill this gap. In writing this manuscript, we have repeatedly cribbed from the sources mentioned above-in particular, the Thom-Levine notes and the six basic papers by Mather.

Seifert Manifolds (Paperback, 1972 ed.): Peter Orlik Seifert Manifolds (Paperback, 1972 ed.)
Peter Orlik
R926 Discovery Miles 9 260 Ships in 10 - 15 working days
Complex Hyperbolic Geometry (Hardcover): William M. Goldman Complex Hyperbolic Geometry (Hardcover)
William M. Goldman
R6,690 Discovery Miles 66 900 Ships in 12 - 19 working days

The geometry of complex hyperbolic space has not, so far, been given a comprehensive treatment in the literature. This book seeks to address this by providing an overview of this particularly rich area of research, and is largely motivated by the wide applications in other areas of mathematics and physics.

Basic Algebraic Topology and its Applications (Hardcover, 1st ed. 2016): Mahima Ranjan Adhikari Basic Algebraic Topology and its Applications (Hardcover, 1st ed. 2016)
Mahima Ranjan Adhikari
R2,962 R2,743 Discovery Miles 27 430 Save R219 (7%) Ships in 9 - 17 working days

This book provides an accessible introduction to algebraic topology, a field at the intersection of topology, geometry and algebra, together with its applications. Moreover, it covers several related topics that are in fact important in the overall scheme of algebraic topology. Comprising eighteen chapters and two appendices, the book integrates various concepts of algebraic topology, supported by examples, exercises, applications and historical notes. Primarily intended as a textbook, the book offers a valuable resource for undergraduate, postgraduate and advanced mathematics students alike. Focusing more on the geometric than on algebraic aspects of the subject, as well as its natural development, the book conveys the basic language of modern algebraic topology by exploring homotopy, homology and cohomology theories, and examines a variety of spaces: spheres, projective spaces, classical groups and their quotient spaces, function spaces, polyhedra, topological groups, Lie groups and cell complexes, etc. The book studies a variety of maps, which are continuous functions between spaces. It also reveals the importance of algebraic topology in contemporary mathematics, theoretical physics, computer science, chemistry, economics, and the biological and medical sciences, and encourages students to engage in further study.

Geometry and Physics: Volume I - A Festschrift in honour of Nigel Hitchin (Hardcover): Jorgen Ellegaard Andersen, Andrew... Geometry and Physics: Volume I - A Festschrift in honour of Nigel Hitchin (Hardcover)
Jorgen Ellegaard Andersen, Andrew Dancer, Oscar Garcia-Prada
R3,821 Discovery Miles 38 210 Ships in 12 - 19 working days

Nigel Hitchin is one of the world's foremost figures in the fields of differential and algebraic geometry and their relations with mathematical physics, and he has been Savilian Professor of Geometry at Oxford since 1997. Geometry and Physics: A Festschrift in honour of Nigel Hitchin contain the proceedings of the conferences held in September 2016 in Aarhus, Oxford, and Madrid to mark Nigel Hitchin's 70th birthday, and to honour his far-reaching contributions to geometry and mathematical physics. These texts contain 29 articles by contributors to the conference and other distinguished mathematicians working in related areas, including three Fields Medallists. The articles cover a broad range of topics in differential, algebraic and symplectic geometry, and also in mathematical physics. These volumes will be of interest to researchers and graduate students in geometry and mathematical physics.

Mathematical Gauge Theory - With Applications to the Standard Model of Particle Physics (Paperback, 1st ed. 2017): Mark J.D.... Mathematical Gauge Theory - With Applications to the Standard Model of Particle Physics (Paperback, 1st ed. 2017)
Mark J.D. Hamilton
R2,387 Discovery Miles 23 870 Ships in 12 - 19 working days

The Standard Model is the foundation of modern particle and high energy physics. This book explains the mathematical background behind the Standard Model, translating ideas from physics into a mathematical language and vice versa. The first part of the book covers the mathematical theory of Lie groups and Lie algebras, fibre bundles, connections, curvature and spinors. The second part then gives a detailed exposition of how these concepts are applied in physics, concerning topics such as the Lagrangians of gauge and matter fields, spontaneous symmetry breaking, the Higgs boson and mass generation of gauge bosons and fermions. The book also contains a chapter on advanced and modern topics in particle physics, such as neutrino masses, CP violation and Grand Unification. This carefully written textbook is aimed at graduate students of mathematics and physics. It contains numerous examples and more than 150 exercises, making it suitable for self-study and use alongside lecture courses. Only a basic knowledge of differentiable manifolds and special relativity is required, summarized in the appendix.

Elon Lima - Selected Papers (Hardcover, 1st ed. 2020): Cesar Camacho Elon Lima - Selected Papers (Hardcover, 1st ed. 2020)
Cesar Camacho
R1,359 Discovery Miles 13 590 Ships in 12 - 19 working days

This book contains all research papers published by the distinguished Brazilian mathematician Elon Lima. It includes the papers from his PhD thesis on homotopy theory, which are hard to find elsewhere. Elon Lima wrote more than 40 books in the field of topology and dynamical systems. He was a profound mathematician with a genuine vocation to teach and write mathematics.

Algebraic Operads (Hardcover, 2012 ed.): Jean-Louis Loday, Bruno Vallette Algebraic Operads (Hardcover, 2012 ed.)
Jean-Louis Loday, Bruno Vallette
R3,236 Discovery Miles 32 360 Ships in 12 - 19 working days

In many areas of mathematics some "higher operations" are arising. These havebecome so important that several research projects refer to such expressions. Higher operationsform new types of algebras. The key to understanding and comparing them, to creating invariants of their action is operad theory. This is a point of view that is 40 years old in algebraic topology, but the new trend is its appearance in several other areas, such as algebraic geometry, mathematical physics, differential geometry, and combinatorics. The present volume is the first comprehensive and systematic approach to algebraic operads. An operad is an algebraic device that serves to study all kinds of algebras (associative, commutative, Lie, Poisson, A-infinity, etc.) from a conceptual point of view. The book presents this topic with an emphasis on Koszul duality theory. After a modern treatment of Koszul duality for associative algebras, the theory is extended to operads. Applications to homotopy algebra are given, for instance the Homotopy Transfer Theorem. Although the necessary notions of algebra are recalled, readers are expected to be familiar with elementary homological algebra. Each chapter ends with a helpful summary and exercises. A full chapter is devoted to examples, and numerous figures are included.

After a low-level chapter on Algebra, accessible to (advanced) undergraduate students, the level increases gradually through the book. However, the authors have done their best to make it suitable for graduate students: three appendicesreview the basic results needed in order to understand the various chapters. Since higher algebra is becoming essential in several research areas like deformation theory, algebraic geometry, representation theory, differential geometry, algebraic combinatorics, and mathematical physics, the book can also be used as a reference work by researchers.

"

Non-Archimedean Tame Topology and Stably Dominated Types (AM-192) (Hardcover): Ehud Hrushovski, Francois Loeser Non-Archimedean Tame Topology and Stably Dominated Types (AM-192) (Hardcover)
Ehud Hrushovski, Francois Loeser
R4,011 Discovery Miles 40 110 Ships in 12 - 19 working days

Over the field of real numbers, analytic geometry has long been in deep interaction with algebraic geometry, bringing the latter subject many of its topological insights. In recent decades, model theory has joined this work through the theory of o-minimality, providing finiteness and uniformity statements and new structural tools. For non-archimedean fields, such as the p-adics, the Berkovich analytification provides a connected topology with many thoroughgoing analogies to the real topology on the set of complex points, and it has become an important tool in algebraic dynamics and many other areas of geometry. This book lays down model-theoretic foundations for non-archimedean geometry. The methods combine o-minimality and stability theory. Definable types play a central role, serving first to define the notion of a point and then properties such as definable compactness. Beyond the foundations, the main theorem constructs a deformation retraction from the full non-archimedean space of an algebraic variety to a rational polytope. This generalizes previous results of V. Berkovich, who used resolution of singularities methods. No previous knowledge of non-archimedean geometry is assumed. Model-theoretic prerequisites are reviewed in the first sections.

Complex Geometry - An Introduction (Paperback, 2005 ed.): Daniel Huybrechts Complex Geometry - An Introduction (Paperback, 2005 ed.)
Daniel Huybrechts
R1,999 Discovery Miles 19 990 Ships in 12 - 19 working days

Easily accessible

Includes recent developments

Assumes very little knowledge of differentiable manifolds and functional analysis

Particular emphasis on topics related to mirror symmetry (SUSY, Kaehler-Einstein metrics, Tian-Todorov lemma)

Local Analytic Geometry - Basic Theory and Applications (Paperback, 2000 ed.): Theo De Jong, Gerhard Pfister Local Analytic Geometry - Basic Theory and Applications (Paperback, 2000 ed.)
Theo De Jong, Gerhard Pfister
R2,230 Discovery Miles 22 300 Ships in 12 - 19 working days

Auf der Grundlage einer Einfuhrung in die kommutative Algebra, algebraische
Geometrie und komplexe Analysis werden zunachst Kurvensingularitaten
untersucht. Daran schliessen Ergebnisse an, die zum ersten Mal in einem
Lehrbuch aufgenommen wurden, das Verhalten von Invarianten in Familien,
Standardbasen fur konvergente Potenzreihenringe, Approximationssatze,
Grauerts Satz uber die Existenz der versellen Deformation.
Das Buch richtet sich an Studenten hoherer Semester, Doktoranden und
Dozenten. Es ist auf der Grundlage mehrerer Vorlesungen und Seminaren an
den Universitaten in Kaiserslautern und Saarbrucken entstanden.
"

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