Analytic geometry Books
Wooden Books Mathematical Functions
Book SynopsisWhat is a mathematical function? Why are they so important? How does plotting the graph of a function help us understand it? And where do gradients, differentials and calculus fit in? In this unique little book, packed with equations and their graphs, mathematics teacher Oliver Linton reveals the secrets of polynomial functions, polar functions, inverse functions, complex functions, vector functions and many more. Lines will never look the same again!Trade ReviewWooden Books are: "Fascinating" FINANCIAL TIMES. "Beautiful" LONDON REVIEW OF BOOKS. "Rich and Artful" THE LANCET. "Genuinely mind-expanding" FORTEAN TIMES. "Excellent" NEW SCIENTIST. "Stunning" NEW YORK TIMES. Small books, big ideas.
£8.18
De Gruyter The Sub-Laplacian Operators of Some Model Domains
Book SynopsisThe book constructs explicitly the fundamental solution of the sub-Laplacian operator for a family of model domains in Cn+1. This type of domain is a good point-wise model for a Cauchy-Rieman (CR) manifold with diagonalizable Levi form. Qualitative results for such operators have been studied extensively, but exact formulas are difficult to derive. Exact formulas are closely related to the underlying geometry and lead to equations of classical types such as hypergeometric equations and Whittaker’s equations.
£105.92
Springer-Verlag Berlin and Heidelberg GmbH & Co. KG Mesh: Eine Reise Durch Die Diskrete Geometrie
Book Synopsis
£8.18
Clarendon Press Analysis on Symmetric Cones Oxford Mathematical Monographs
Book SynopsisThis monograph treats the analysis of symmetric cones in a systematic way. It discusses harmonic analysis and special functions associated with symmetric cones; it also tries these results together with the study of holomorphic functions on bounded symmetric domains of tube type.Trade Review... the present book is more carefully directed at the graduate student level, includes numerous exercises, and has its emphasis more on the harmonic analysis side. Such a presentation is much needed. The detailed exposition, careful choice of organization and notation, and very helpful collection of exercises, mostly of medium difficulty, all attest to the effort put into this joint venture. As a highly readable and accessible presentation of Jordan algebras and their applications to Riemannian geometry and harmonic analysis, the book is strongly recommended to all analysts (starting at graduate level) working in the multi-variable setting of symmetric spaces and Lie groups. Bulletin of the London Mathematical SocietyTable of ContentsI. Convex cones ; II. Jordan algebras ; III. Symmetric cones and Euclidean Jordan algebras ; IV. The Peirce decomposition in a Jordan algebra ; V. Classification of Euclidean Jordan algebras ; VI. Polar decomposition and Gauss decomposition ; VII. The gamma function of a symmetric cone ; VIII. Complex Jordan algebras ; IX. Tube domains over convex cones ; X. Symmetric domains ; XI. Conical and spherical polynomials ; XII. Taylor and Laurent series ; XIII. Functions spaces on symmetric domains ; XIV. Invariant differential operators and spherical functions ; XV. Special functions ; XVI. Representations of Jordan algebras and Euclidean Fourier analysis ; Bibliography
£212.50
Cambridge University Press Introduction to Analytical Geometry
Book SynopsisThis book was written by the senior mathematical master at Marlborough College in Wiltshire, England. It was designed as a student textbook and the author aimed to give a pre-university level introduction to the use of coordinates and analytical methods in geometry.Table of ContentsPreface; 1. Co-ordinates; 2. Equations and Loci; 3. The point and line; 4. Duality and degeneracy; 5. The circle; 6. Parametric equations; 7. The general algebraic curve; 8. Abstract geometry; 9. Conical projection; 10. Cross-ratio; 11. Harmonic section; 12. The general conic; 13. The parabola; 14. The ellipse; 15. The hyperbola; 16. s = ks; Exercises; Answers; Index.
£41.99
Cambridge University Press Minkowski Geometry 63 Encyclopedia of Mathematics and its Applications Series Number 63
Book SynopsisMinkowski geometry is a type of non-Euclidean geometry in a finite number of dimensions in which distance is not 'uniform' in all directions. This book presents the first comprehensive treatment of Minkowski geometry since the 1940s. The author begins by describing the fundamental metric properties and the topological properties of existence of Minkowski space. This is followed by a treatment of two-dimensional spaces and characterisations of Euclidean space among normed spaces. The central three chapters present the theory of area and volume in normed spaces, a fascinating geometrical interplay among the various roles of the ball in Euclidean space. Later chapters deal with trigonometry and differential geometry in Minkowski spaces. The book ends with a brief look at J. J. Schaffer's ideas on the intrinsic geometry of the unit sphere. Minkowski Geometry will appeal to students and researchers interested in geometry, convexity theory and functional analysis.Trade Review' … volume, isoperimetry, integral geometry and trigonometry … all are admirably treated here by an expert in the field.' Mathematika'This is a comprehensive monograph that will serve well both as an introduction and as a reference work.' Monatshefte für MathematikTable of Contents1. The algebraic properties of linear spaces and of convex sets; 2. Norms and norm topologies; 3. Convex bodies; 4. Comparisons and contrasts with Euclidean space; 5. Two dimensional Minkowski spaces; 6. The concept of area and content; 7. Special properties of the Holmes-Thompson definition; 8. Special properties of the Busemann definition; 9. Trigonometry; 10. Various numerical parameters.
£122.55
Cambridge University Press Complex Algebraic Curves 0023 London Mathematical Society Student Texts Series Number 23
Book SynopsisComplex algebraic curves were developed in the nineteenth century. They have many fascinating properties and crop up in various areas of mathematics, from number theory to theoretical physics, and are the subject of much research. By using only the basic techniques acquired by most undergraduate courses in mathematics, Dr Kirwan introduces the theory, observes the algebraic and topological properties of complex algebraic curves, and shows how they are related to complex analysis. This book grew from a lecture course given by Dr Kirwan at Oxford University and will be an excellent companion for final year undergraduates and graduates who are studying complex algebraic curves.Trade Review"Kirwan should succeed admirably with her goal of showing senior undergraduates who perhaps do not plan to study mathematics beyond the bachelor's degree 'how the basic ideas of pure mathematics they had studied in previous years could be brought together in one of the showpieces of mathematics.'" Choice"...worth serious consideration for those planning to teach such a course, and perhaps even more importantly, as an inspiration for mathematicians to offer such a course. The book offers us plenty to work with, and is an excellent contribution." S. Zdravkovska and Daniel M. Burns, Jr., Mathematical Reviews"At last an introduction to the theory of algebraic curves that is understandable by undergraduates, and that does not shy away from the various aspects of the theory: algebraic, topological, complex analytic, etc. Good bedside reading." Gian-Carlo Rota, The Bulletin of Mathematical BooksTable of Contents1. Introduction and background; 2. Foundations; 3. Algebraic properties; 4. Topological properties; 5. Riemann surfaces; 6. Differentials on Riemann surfaces; 7. Singular curves; Appendices.
£58.12
Cambridge University Press LMS 192 Symplectic Geometry London Mathematical Society Lecture Note Series Series Number 192
Book SynopsisThis volume is based on lectures given at a workshop and conference on symplectic geometry at the University of Warwick in August 1990. The area of symplectic geometry has developed rapidly in the past ten years with major new discoveries that were motivated by and have provided links with many other subjects such as dynamical systems, topology, gauge theory, mathematical physics and singularity theory. The conference brought together a number of leading experts in these areas of mathematics. The contributions to this volume reflect the richness of the subject and include expository papers as well as original research. They will be an essential source for all research mathematicians in symplectic geometry.Table of ContentsA variational interpretation of Melnikov's function and exponitionally small separaratrix splitting S. Angenent; Global Darboux theorems and a linearization problem E. Ciriza; Complex cobordism, Ashtekar's equations and diffeomorphisms S. Donaldson; Instanton homology and symplectic fixed points S. Dostoglou & D. Salamon; An energy-capacity inequality for the symplectic holonomy of hypersurfaces flat at infinity Y. Eliashberg and H. Hofer; Examples of singular reduction E. Lerman, R. Montgomery and R. Sjamaar; Remarks on the uniqeness of symplectic blowing up D. McDuff; The 4-dimensional symplectic camel and related results D. McDuff and L. Traynor; Differential forms and connections adapted to a contact structure M. Rumin and P. Pansu; The Maslov class rigidity and non-existence of lagrangian embeddings L. Polterovich; Phase functions and path integrals J. Robbin and D. Salamon; Symplectic mappings which are stable at infinity E. Zehnder.
£37.99
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.
£134.00
Cambridge University Press An Introduction to Twistor Theory Second Edition 0004 London Mathematical Society Student Texts Series Number 4
Book SynopsisThis text is an introduction to twistor theory and modern geometrical approaches to space-time structure at the graduate or advanced undergraduate level.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.
£51.21
Cambridge University Press Methods of Algebraic Geometry
Book SynopsisAll three volumes of Hodge and Pedoe's classic work have now been reissued. Together, these books give an insight into algebraic geometry that is unique and unsurpassed.Trade Review'This treatise … is notable for its clarity of treatment and for the rigour of its demonstrations, and will repay careful study even in those parts which deal with matters generally considered familiar.' Nature'The book is well set out, and is a pleasure to work through.' The Times Literary Supplement'Motivations are given. Examples of significant and useful varieties are numerous. All the algebra needed is given, and, what is more, these books tell how to translate geometry into algebra, and conversely.' Bulletin of the American Mathematical SocietyTable of ContentsPart I. Book 5: Birational Geometry: 15. Ideal theory of commutative rings; 16. The arithmetic theory of varieties; 17. Valuation theory; 18. Birational transformations.
£67.99
Cambridge University Press Methods of Algebraic Geometry Volume 1 Cambridge Mathematical Library
Book SynopsisThis work provides a lucid and rigorous account of the foundations of modern algebraic geometry. The authors have confined themselves to fundamental concepts and geometrical methods, and do not give detailed developments of geometrical properties, but geometrical meaning has been emphasised throughout. This first volume is divided into two parts. The first is devoted to pure algebra; the basic notions, the theory of matrices over a non-commutative ground field and a study of algebraic equations. The second part is concerned with the definitions and basic properties of projective space in n dimensions. It concludes with a purely algebraic account of collineations and correlations. The other two volumes of Hodge and Pedoe's classic work are also available. Together, these books give an insight into algebraic geometry that is unique and unsurpassed.Trade Review'This treatise … is notable for its clarity of treatment and for the rigour of its demonstrations, and will repay careful study even in those parts which deal with matters generally considered familiar.' Nature'The book is well set out, and is a pleasure to work through.' The Times Literary Supplement'Motivations are given. Examples of significant and useful varieties are numerous. All the algebra needed is given, and, what is more, these books tell how to translate geometry into algebra, and conversely.' Bulletin of the American Mathematical SocietyTable of ContentsBook I. Algebraic Preliminaries: 1. Rings and fields; 2. Linear algebra, matrices, determinants; 3. Algebraic dependence; 4. Algebraic equations; Book II. Projective Space: 5. Projective space: algebraic definition; 6. Projective space: synthetic definition; 7. Grassmann coordinates; 8. Collineations; 9. Correlations.
£86.99
Cambridge University Press Methods of Algebraic Geometry
Book SynopsisAll three volumes of Hodge and Pedoe's classic work have now been reissued. Together, these books give an insight into algebraic geometry that is unique and unsurpassed.Trade Review'This treatise … is notable for its clarity of treatment and for the rigour of its demonstrations, and will repay careful study even in those parts which deal with matters generally considered familiar.' Nature'The book is well set out, and is a pleasure to work through.' The Times Literary Supplement'Motivations are given. Examples of significant and useful varieties are numerous. All the algebra needed is given, and, what is more, these books tell how to translate geometry into algebra, and conversely.' Bulletin of the American Mathematical SocietyTable of ContentsPart I. Book 3: General Theory of Algebraic Varieties in Projective Space; 10. Algebraic varieties; 11. Algebraic correspondences; 12. Intersection theory; Part II. Book 4: Quadrics and Grassmann Varieties; 13. Quadrics; 14. Grassmann varieties.
£55.99
Cambridge University Press Singular Points of Plane Curves 63 London Mathematical Society Student Texts Series Number 63
Book SynopsisEven the simplest singularities of planar curves, e.g. where the curve crosses itself, or where it forms a cusp, are best understood in terms of complex numbers. The full treatment uses techniques from algebra, algebraic geometry, complex analysis and topology and makes an attractive chapter of mathematics, which can be used as an introduction to any of these topics, or to singularity theory in higher dimensions. This book is designed as an introduction for graduate students and draws on the author's experience of teaching MSc courses; moreover, by synthesising different perspectives, he gives a novel view of the subject, and a number of new results.Trade Review'The text reflects the author's great expertise in the field in a masterly way … His style of writing mathematics is … motivating and highly inspiring. No doubt, this book will quickly become a widely used standard text on singularities of plane curves, and a valuable reference book, too.' Zentralblatt MATHTable of ContentsPreface; 1. Preliminaries; 2. Puiseux' theorem; 3. Resolutions; 4. Contact of two branches; 5. Topology of the singularity link; 6. The Milnor fibration; 7. Projective curves and their duals; 8. Combinatorics on a resolution tree; 9. Decomposition of the link complement and the Milnor fibre; 10. The monodromy and the Seifert form; 11. Ideals and clusters; References; Index.
£68.99
Cambridge University Press Global Analysis on Foliated Spaces
Book SynopsisPresents a complete proof of Connes' Index Theorem generalized to foliated spaces, alongside the necessary background from analysis, geometry, and topology. It thus provides a natural introduction to the basic ideas of noncommutative topology. This edition has improved exposition, an updated bibliography, an index, and covers new developments and applications.Trade ReviewPraise for the first edition … 'The quest for the proof leads through functional analysis, C^* and von Neumann algebras, topological groupoids, characteristic classes and K-theory along a foliation, and the theory of pseudodifferential operators. It is a long but very rewarding journey and Moore and Schochet have performed a valuable service in putting all this material in one place in an easily readable form … The book contains a wealth of information. It is not for those who wish an overview...However, for those wishing a comprehensive proof … this book is indispensable.' AMS Bulletin'This book presents a complete proof of this beautiful result, generalized to foliated spaces (not just manifolds). It includes the necessary background from analysis geometry and topology. This second edition has improved exposition, an updated bibliography, an index, and additional material covering developments and applications since the first edition came out.' L'enseignement mathematiqueTable of ContentsIntroduction; 1. Locally traceable operators; 2. Foliated spaces; 3. Tangential cohomology; 4. Transverse measures; 5. Characteristic classes; 6. Operator algebra; 7. Pseudodifferential operators; 8. The index theorem; Appendices.
£57.13
Cambridge University Press LMS 273 Spectral Theory Geometry London Mathematical Society Lecture Note Series Series Number 273
Book SynopsisAuthoritative lectures from world experts on spectral theory and geometry, arising from a meeting held under the auspices of the ICMS in Edinburgh. Together they survey core material and go beyond to reach deeper results. For graduate students and experts alike, this book will be a highly useful resource.Trade Review'The book provides an excellent overview of the relation between the spectral theory of partial differential operators and the geometry of the underlying manifolds.' Dmitri Vassiliev, Bulletin of the London Mathematical Society'For graduate students and experts alike, this book will be a highly useful resource.' L'Enseignement MathématiqueTable of Contents1. Basic Riemannian geometry F. E. Burstall; 2. The Laplacian on Riemannian manifolds I. Chavel; 3. Computational spectral theory E. B. Davies; 4. Isoperimetric and universal inequalities for eigenvalues M. Ashbaugh; 5. Estimates of heat kernels on Riemannian manifolds A. Grigoryan; 6. Spectral theory of the Schrödinger operators on non-compact manifolds: qualitative results M. Shubin; 7. Lectures on wave invariants S. Zelditch.
£70.36
Cambridge University Press Elementary Euclidean Geometry
Book SynopsisThis book, first published in 2004, is a genuine introduction to the geometry of lines and conics in the Euclidean plane. Example based and self contained, with numerous illustrations and several hundred worked examples and exercises. Ideal for undergraduate courses in mathematics, or for postgraduates in the engineering and physical sciences.Trade Review'This is a nice and self-contained introduction into the geometry of the lines and the conics in the Euclidean plane within an analytical context'. Zentralblatt MATHTable of Contents1. Points and lines; 2. The Euclidean plane; 3. Circles; 4. General conics; 5. Centres of general conics; 6. Degenerate conics; 7. Axes and asymptotes; 8. Focus and directrix; 9. Tangents and normals; 10. The parabola; 11. The ellipse; 12. The hyperbola; 13. Pole and polar; 14. Congruences; 15. Classifying conics; 16. Distinguishing conics; 17. Uniqueness and invariance.
£67.99
Minireference Co. No bullshit guide to linear algebra
£26.10
LEGARE STREET PR Vector Analysis and Quaternions
a huge range and FREE tracked UK delivery on ALL orders.
£21.80
LEGARE STREET PR Vector Analysis and Quaternions
a huge range and FREE tracked UK delivery on ALL orders.
£13.22
Legare Street Press Die Die nichteuklidischen Raumformen in analytischer Behandlung
a huge range and FREE tracked UK delivery on ALL orders.
£25.60
LEGARE STREET PR Exercices Elementaires De Geometrie Analytique
a huge range and FREE tracked UK delivery on ALL orders.
£25.60
Legare Street Press A Treatise on the Analytic Geometry of Three Dimensions. Rev. by Reginald A.P. Rogers Volume 1
a huge range and FREE tracked UK delivery on ALL orders.
£30.35
Legare Street Press An An Elementary Treatise on Analytic Geometry
a huge range and FREE tracked UK delivery on ALL orders.
£25.60
Legare Street Press Elements of Analytical Geometry
a huge range and FREE tracked UK delivery on ALL orders.
£26.55
Legare Street Press Analytic Geometry for Technical Schools and Colleges
a huge range and FREE tracked UK delivery on ALL orders.
£24.65
Legare Street Press Researches on Curves of the Second Order Also on Cones and Spherical Conics Treated Analytically in Which the Tangencies of Apollonius are Investigated and General Geometrical Constructions Deduced From Analysis Also Several of the Geometri
a huge range and FREE tracked UK delivery on ALL orders.
£22.75
Legare Street Press Cours De Mathématiques Spéciales
a huge range and FREE tracked UK delivery on ALL orders.
£28.45
Legare Street Press Analytische Geometrie des Punktes der geraden Linie und der Ebene. Ein Handbuch zu den Vorlesungen und Übungen über analytische Geometrie
a huge range and FREE tracked UK delivery on ALL orders.
£29.40
Legare Street Press A Study Of Projective Geometry From An Analytic Standpoint
a huge range and FREE tracked UK delivery on ALL orders.
£22.75
Legare Street Press Descriptive Geometry In Six Parts ...
a huge range and FREE tracked UK delivery on ALL orders.
£22.75
LEGARE STREET PR Traité De Géométrie Analytique À Trois Dimensions
a huge range and FREE tracked UK delivery on ALL orders.
£26.55
Creative Media Partners, LLC Trattato Di Geometria Analitica
£29.66
Creative Media Partners, LLC Trattato Di Geometria Analitica
£18.86
Creative Media Partners, LLC An Elementary Treatise On Analytic Geometry
£29.61
Creative Media Partners, LLC An Elementary Treatise On Analytic Geometry
£20.43
Creative Media Partners, LLC On the Determination of Elliptic Orbits From Three Complete Observations
£24.98
Creative Media Partners, LLC On the Determination of Elliptic Orbits From Three Complete Observations
£13.20
Creative Media Partners, LLC Lehrbuch der Analytischen Geometrie Vierte Auflage
£31.30
Read Books Plane And Solid Analytic Geometry
£28.49
Createspace Independent Publishing Platform Geometrical Solutions Derived From Mechanics
£7.92
De Gruyter Qα Analysis on Euclidean Spaces
£98.32
De Gruyter Harmonic Analysis and Convexity
Book SynopsisIn recent years, the interaction between harmonic analysis and convex geometry has increased which has resulted in solutions to several long-standing problems. This collection is based on the topics discussed during the Research Semester on Harmonic Analysis and Convexity at the Institute for Computational and Experimental Research in Mathematics in Providence RI in Fall 2022. The volume brings together experts working in related fields to report on the status of major problems in the area including the isomorphic Busemann-Petty and slicing problems for arbitrary measures, extremal problems for Fourier extension and extremal problems for classical singular integrals of martingale type, among others.
£156.75
De Gruyter Noncommutative Geometry: A Functorial Approach
Book SynopsisNoncommutative geometry studies an interplay between spatial forms and algebras with non-commutative multiplication. This book covers the key concepts of noncommutative geometry and its applications in topology, algebraic geometry, and number theory. Our presentation is accessible to the graduate students as well as nonexperts in the field. The second edition includes two new chapters on arithmetic topology and quantum arithmetic.
£114.00
Amazon Digital Services LLC - Kdp Geometria Analítica
£35.19
Independently Published Topology
£11.23
ACTAR D Lines of Development
Book Synopsis
£42.50
American Mathematical Society Geometric Function Theory and Related Topics
£104.40
