{"title":"Analytic geometry Books","description":"","products":[{"product_id":"mathematical-functions-9781907155444","title":"Mathematical Functions","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003eWhat 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!\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTrade Review\u003c\/b\u003e\u003cbr\u003eWooden 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.","brand":"Wooden Books","offers":[{"title":"Default Title","offer_id":48724789068119,"sku":"9781907155444","price":8.18,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9781907155444.jpg?v=1719854353"},{"product_id":"make-trigonometry-build-your-way-from-triangles-to-analytic-geometry-9781680457988","title":"Make - Trigonometry: Build your way from","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003eTrigonometry has 2000-year-old roots in everyday useful endeavors, like finding the size of an object too big or far away to measure directly, or navigating from Point A to Point B. However, it is often taught very theoretically, with an emphasis on abstractions. Make: Trigonometry uses 3D printable models and readily-available physical objects like wire and cardboard tubes to develop intuition about concepts in trigonometry and basic analytic geometry. Readers will imagine the thought process of the people who invented these mathematical concepts, and can try out \"math experiments\" to see for themselves how ingenious ancient navigators and surveyors really were. The analytic geometry part of the book links equations to many of these intuitive concepts, which we explore through in-depth explanations of manipulative models of conic sections. This book is aimed at high school students who might be in Algebra II or Pre-Calculus. It shows the geometrical and practical sides of these topics that otherwise can drown in their own algebra.  Make: Trigonometry builds on the basics of the authors' earlier book, Make: Geometry, and is intended as a bridge from that book to their Make: Calculus book. The user can read this book and understand the concepts from the photographs of 3D printable models alone. However, since many models are puzzle-like, we encourage the reader to print the models on any consumer-grade filament based 3D printer. The models are available for download in a freely-available open source repository. They were created in the free program OpenSCAD, and can be 3D printed or modified by the student in OpenSCAD to learn a little coding along the way.","brand":"O'Reilly Media","offers":[{"title":"Default Title","offer_id":49411289416023,"sku":"9781680457988","price":20.39,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9781680457988.jpg?v=1730513090"},{"product_id":"mesh-eine-reise-durch-die-diskrete-geometrie-9783540853305","title":"Mesh: Eine Reise Durch Die Diskrete Geometrie","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003e","brand":"Springer-Verlag Berlin and Heidelberg GmbH \u0026 Co. KG","offers":[{"title":"Default Title","offer_id":49419506090327,"sku":"9783540853305","price":8.18,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9783540853305.jpg?v=1730538566"},{"product_id":"visualizing-calculus-by-way-of-maple-an-emphasis-on-problem-solving-9780078035982","title":"VISUALIZING CALCULUS BY WAY OF MAPLE AN EMPHASIS","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003e","brand":"McGraw-Hill Education - Europe","offers":[{"title":"Default Title","offer_id":49524366836055,"sku":"9780078035982","price":232.44,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9780078035982.jpg?v=1731856493"},{"product_id":"algebra-and-trigonometry-with-analytic-geometry-9780840068521","title":"Algebra and Trigonometry with Analytic Geometry","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003e\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003eEvery chapter ends with Review Exercises, Discussion Exercises, and a Chapter Test. 1. FUNDAMENTAL CONCEPTS OF ALGEBRA.  Real Numbers. Exponents and Radicals. Algebraic Expressions. Fractional Expressions.  2. EQUATIONS AND INEQUALITIES.  Equations. Applied Problems. Quadratic Equations. Complex Numbers. Other Types of Equations. Inequalities. More on Inequalities.  3. FUNCTIONS AND GRAPHS.  Rectangular Coordinate Systems. Graphs of Equations. Lines. Definition of Function. Graphs of Functions. Quadratic Functions. Operations on Functions.  4. POLYNOMIAL AND RATIONAL FUNCTIONS.  Polynomial Functions of Degree Greater than 2. Properties of Division. Zeros of Polynomials. Complex and Rational Zeros of Polynomials. Rational Functions. Variation.  5. INVERSE, EXPONENTIAL, AND LOGARITHMIC FUNCTIONS.  Inverse Functions. Exponential Functions. The Natural Exponential Function. Logarithmic Functions. Properties of Logarithms. Exponential and Logarithmic Equations.  6. THE TRIGONOMETRIC FUNCTIONS.  Angles. Trigonometric Functions of Angles. Trigonometric Functions of Real Numbers. Values of Trigonometric Functions. Trigonometric Graphs. Additional Trigonometric Graphs. Applied Problems.  7. ANALYTIC TRIGONOMETRY.  Verifying Trigonometric Identities. Trigonometric Equations. The Addition and Subtraction Formulas. Multiple-Angle Formulas. Product-to-Sum and Sum-to-Product Formulas. The Inverse Trigonometric Functions.  8. APPLICATIONS OF TRIGONOMETRY.  The Law of Sines. The Law of Cosines. Vectors. The Dot Product. Trigonometric Form for Complex Numbers. De Moivre's Theorem and nth Roots of Complex Numbers.  9. SYSTEMS OF EQUATIONS AND INEQUALITIES.  Systems of Equations. Systems of Linear Equations in Two Variables. Systems of Inequalities. Linear Programming. Systems of Linear Equations in More than Two Variables. The Algebra of Matrices. The Inverse of a Matrix. Determinants. Properties of Determinants. Partial Fractions.    10. SEQUENCES, SERIES AND PROBABILITY.  Infinite Sequences and Summation Notation. Arithmetic Sequences. Geometric Sequences. Mathematical Induction. The Binomial Theorem. Permutations. Distinguishable Permutations and Combinations. Probability.  11. TOPICS FROM ANALYTIC GEOMETRY.  Parabolas. Ellipses. Hyperbolas. Plane Curves and Parametric Equations. Polar Coordinates. Polar Equations of Conics.  Appendix I: Common Graphs and Their Equations.  Appendix II: A Summary of Graph Transformations.  Appendix III: Graphs of the Trigonometric Functions and Their Inverses.  Appendix IV: Values of the Trigonometric Functions of Special Angles on a Unit Circle.","brand":"Cengage Learning, Inc","offers":[{"title":"Default Title","offer_id":49528169267543,"sku":"9780840068521","price":314.2,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9780840068521.jpg?v=1731870652"},{"product_id":"nonlinear-analysis-on-manifolds-sobolev-spaces-and-inequalities-9780821827000","title":"Nonlinear Analysis on Manifolds  Sobolev Spaces","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003eOffers lectures given at the Courant Institute on the theory of Sobolev spaces on Riemannian manifolds. This volume includes a brief introduction to differential and Riemannian geometry. It deals with the general theory of Sobolev spaces for compact manifolds, and also presents special types of Sobolev inequalities under constraints.\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003eElements of Riemannian geometry Sobolev spaces: The compact setting Sobolev spaces: The noncompact setting Best constants in the compact setting I Best constants in the compact setting II Optimal inequalities with constraints Best constants in the noncompact setting Euclidean-type Sobolev inequalities The influence of symmetries Manifolds with boundary Bibliography.","brand":"MP-AMM American Mathematical","offers":[{"title":"Default Title","offer_id":50577670898007,"sku":"9780821827000","price":36.05,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9780821827000.jpg?v=1746096110"},{"product_id":"lines-of-development-9781638400417","title":"Lines of Development","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003e","brand":"ACTAR D","offers":[{"title":"Default Title","offer_id":51041854259543,"sku":"9781638400417","price":42.5,"currency_code":"GBP","in_stock":false}]},{"product_id":"analysis-on-symmetric-cones-oxford-mathematical-monographs-9780198534778","title":"Analysis on Symmetric Cones Oxford Mathematical Monographs","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003eThis 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.\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTrade Review\u003c\/b\u003e\u003cbr\u003e... 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 Society\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003eI. 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","brand":"Clarendon Press","offers":[{"title":"Default Title","offer_id":51766951870807,"sku":"9780198534778","price":191.25,"currency_code":"GBP","in_stock":true}]},{"product_id":"minkowski-geometry-63-encyclopedia-of-mathematics-and-its-applications-series-number-63-9780521404723","title":"Minkowski Geometry 63 Encyclopedia of Mathematics and its Applications Series Number 63","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003eMinkowski 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.\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTrade Review\u003c\/b\u003e\u003cbr\u003e' … volume, isoperimetry, integral geometry and trigonometry … all are admirably treated here by an expert in the field.' Mathematika\u003cbr\u003e'This is a comprehensive monograph that will serve well both as an introduction and as a reference work.' Monatshefte für Mathematik\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003e1. 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.","brand":"Cambridge University Press","offers":[{"title":"Default Title","offer_id":51767657759063,"sku":"9780521404723","price":122.55,"currency_code":"GBP","in_stock":true}]},{"product_id":"complex-algebraic-curves-0023-london-mathematical-society-student-texts-series-number-23-9780521423533","title":"Complex Algebraic Curves 0023 London Mathematical Society Student Texts Series Number 23","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003eComplex 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.\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTrade Review\u003c\/b\u003e\u003cbr\u003e\"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\u003cbr\u003e\"...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\u003cbr\u003e\"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 Books\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003e1. Introduction and background; 2. Foundations; 3. Algebraic properties; 4. Topological properties; 5. Riemann surfaces; 6. Differentials on Riemann surfaces; 7. Singular curves; Appendices.","brand":"Cambridge University Press","offers":[{"title":"Default Title","offer_id":51767659954519,"sku":"9780521423533","price":47.49,"currency_code":"GBP","in_stock":false}]},{"product_id":"an-introduction-to-twistor-theory-second-edition-4-london-mathematical-society-student-texts-series-number-4-9780521451574","title":"An Introduction to Twistor Theory Second Edition 4 London Mathematical Society Student Texts Series Number 4","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003eThis 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.\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTrade Review\u003c\/b\u003e\u003cbr\u003e' … the book is recommended to anyone seeking to get acquainted with the area.' American Scientist\u003cbr\u003e' … 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\u003cbr\u003e'In all, the book provides a pleasant starting point for the study of this fascinating subject.' Dr F. E. Burstall, Contemporary Physics\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003e1. 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.","brand":"Cambridge University Press","offers":[{"title":"Default Title","offer_id":51767664607575,"sku":"9780521451574","price":127.3,"currency_code":"GBP","in_stock":true}]},{"product_id":"an-introduction-to-twistor-theory-second-edition-0004-london-mathematical-society-student-texts-series-number-4-9780521456890","title":"An Introduction to Twistor Theory Second Edition 0004 London Mathematical Society Student Texts Series Number 4","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003eThis text is an introduction to twistor theory and modern geometrical approaches to space-time structure at the graduate or advanced undergraduate level.\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTrade Review\u003c\/b\u003e\u003cbr\u003e' … the book is recommended to anyone seeking to get acquainted with the area.' American Scientist\u003cbr\u003e' … 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\u003cbr\u003e'In all, the book provides a pleasant starting point for the study of this fascinating subject.' Dr F. E. Burstall, Contemporary Physics\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003e1. 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.","brand":"Cambridge University Press","offers":[{"title":"Default Title","offer_id":51767664869719,"sku":"9780521456890","price":41.79,"currency_code":"GBP","in_stock":true}]},{"product_id":"plane-and-solid-analytic-geometry-9781446073513","title":"Plane And Solid Analytic Geometry","description":"","brand":"Read Books","offers":[{"title":"Default Title","offer_id":51769723421015,"sku":"9781446073513","price":28.49,"currency_code":"GBP","in_stock":true}]},{"product_id":"geometric-function-theory-and-related-topics-9781470476342","title":"Geometric Function Theory and Related Topics","description":"","brand":"American Mathematical Society","offers":[{"title":"Default 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