{"title":"Geometry Books","description":"","products":[{"product_id":"simply-maths-9780241515686","title":"Simply Maths","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003e","brand":"Dorling Kindersley Ltd","offers":[{"title":"Default Title","offer_id":47832841126231,"sku":"9780241515686","price":11.69,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9780241515686.jpg?v=1710338823"},{"product_id":"the-diagram-harmonic-geometry-9781907155338","title":"The Diagram: Harmonic Geometry","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003eHow do you divide a line into three? Or five? Or seven? Is there a simple way to marry harmony and geometry? What is the secret diagram alluded to by writers of antiquity? In this groundbreaking book, philosopher Adam Tetlow reveals the long lost Helicon, the master diagram of the ancient arts and crafts.Watch in astonishment as this magical geometric figure produces simple fractions, musical harmonies, Pythagorean triangles, perspective and more.  WOODEN BOOKS are small but packed with information. \"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":47850606068055,"sku":"9781907155338","price":8.18,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9781907155338.jpg?v=1710616201"},{"product_id":"islamic-design-a-genius-for-geometry-9781904263593","title":"Islamic Design: A Genius for Geometry","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003eAcross the Islamic world, illuminating Korans from Morocco to Malaysia, and adorning mosques, mausoleums and palaces, are hidden some of the most exquisite geometrical devices ever conceived by man.  In this excellent little book, geometer Daud Sutton unravels the mystery of Islamic patterns, explaining where they come from, how to draw them, and hinting at the Divine messages they encode. WOODEN BOOKS are small but packed with information. \"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":47850622517591,"sku":"9781904263593","price":8.18,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9781904263593.jpg?v=1710616797"},{"product_id":"platonic-and-archimedean-solids-9781904263395","title":"Platonic and Archimedean Solids","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003eWhat sort of things happen when space crystallises? Why were primordial sages fascinated with five simple forms?   Does the three-dimensional jigsaw fit simply together?  If so how? Find out about one of the languages spoken throughout the universe! An understanding of the Platonic Solids, and their close cousins, the Archimedean Solids has long been required of students seeking entry into ancient wizdom schools.  This book, illustrated by the author, is a beautiful introduction to three-dimensional mathemagical space. WOODEN BOOKS are small but packed with information. \"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":47850623304023,"sku":"9781904263395","price":7.49,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9781904263395.jpg?v=1710616882"},{"product_id":"euclids-window-the-story-of-geometry-from-parallel-lines-to-hyperspace-9780141009094","title":"Euclids Window The Story of Geometry from","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003e\u003cp\u003e\u003cb\u003eIn \u003ci\u003eEuclid''s Window\u003c\/i\u003e, Leonard Mlondinow takes us on a brilliantly entertaining journey through 3,000 years of genius and geometry, introducing the people who revolutionized the way we see the world around us.\u003c\/b\u003e\u003cbr\u003e\u003cbr\u003e  Ever since Pythagoras hatched a ''little scheme'' to invent a set of rules describing the entire universe, scientists and mathematicians have tried to seek order in the cosmos: Euclid, who in 300BC defined the nature of space; Descartes, a fourteenth-century gambler and idler who invented the graph; Gauss, the fifteen-year-old genius who discovered that space is curved; Einstein, who added time to the equation; and Witten, who ushered in today''s weird new world of extra, twisted dimensions.\u003cbr\u003e\u003cbr\u003e  They all show how geometry is the key to understanding the universe. Once you have viewed life through \u003ci\u003eEuclid''s Window\u003c\/i\u003e, it will never be the same again...\u003cbr\u003e\u003cbr\u003e  ''Elegant, attractive and concise ... also very readable. Buy it''\u003cbr\u003e  Ian \u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003ePart 1 The story of Euclid: the first revolution; the geometry of taxation; among the seven sages; the secret society; Euclid's manifesto; a beautiful woman, a library, and the end of civilization. Part 2 The story of Descartes: the revolution in place; the origin of latitude and longitude; the legacy of the rotten Romans; the discreet charm of the graph; a soldier's story; iced by the snow queen. Part 3 The story of Gauss: the curved space revolution; the trouble with Ptolemy; a Napoleonic hero; the fall of the fifth postulate; lost in hyperbolic space; some insects called the human race; a tale of two aliens; after 2000 years, a face-lift. Part 4 The story of Einstein: revolution at the speed of light; relativity's other Albert; the stuff of space; probationary technical expert, third class; a relatively Euclidean approach; Einstein's apple; from inspiration to perspiration; blue hair triumphs. Part 5 The story of Witten: the weird revolution; ten things I hate about your theory; the necessary uncertainty of being; clash of the Titans; a message in a Kaluza-Klein bottle; the birth of strings; particles, schmarticles!; the trouble with strings; the theory formerly known as strings.\u003c\/p\u003e","brand":"Penguin Books Ltd","offers":[{"title":"Default Title","offer_id":48732387311959,"sku":"9780141009094","price":10.44,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9780141009094.jpg?v=1719996662"},{"product_id":"shape-9780141991511","title":"Shape","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003e\u003cp\u003e\u003cb\u003eThe international bestseller - a whip-smart, entertaining exploration of the geometry that underlies our world, from the author of \u003ci\u003eHow Not to Be Wrong\u003c\/i\u003e\u003c\/b\u003e\u003cbr\u003e\u003cbr\u003eHow should a democracy choose its representatives? How can you stop a pandemic from sweeping the world? How do computers learn to play chess? Can ancient Greek proportions predict the stock market? (Sorry, no.) What should your kids learn in school if they really want to learn to think? The answers to all these questions can be found in geometry.\u003cbr\u003e\u003cbr\u003eIf you''re like most people, geometry is a dimly-remembered exercise, handed down from the ancients, that you gladly left behind in school. It seemed to be a tortuous way of proving some fact about triangles that was obvious to you in the first place. That''s not geometry. OK, it \u003ci\u003eis\u003c\/i\u003e geometry, but only a tiny part, that has as much to do with the modern, fast-moving discipline as conjugating a verb has to do with a great novel.\u003cbr\u003e\u003cbr\u003eIn \u003ci\u003eShape,\u003c\/i\u003e \u003ci\u003eSund\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTrade Review\u003c\/b\u003e\u003cbr\u003eThis mind-bending book will change how you see the world \u003cb\u003e(Five stars)\u003c\/b\u003e -- Simon Ings * Telegraph *\u003cbr\u003e\u003ci\u003eShape \u003c\/i\u003eis a triumph of mathematical exposition, exposing profound truths - from the nature of distance to the predictability of randomness - as well as profound mistakes - from historical misattributions to Supreme Court justice hardheadedness - with eloquence and hilarious wit. Ellenberg's evident affection for both his subject and his reader makes us feel like the lucky ones who get to hear him hold forth in an intimate setting about his favorite subject, mathematics -- Cathy O'Neil\u003cbr\u003eEllenberg's skill as a storyteller, combined with a natural ability to spot otherwise obscure connections, enables him to capitalize on geometry as math's gateway drug... A deeply enjoyable and insightful book -- Matt Parker * New York Times *\u003cbr\u003eEllenberg, in both his arguments and his enthusiasm, is persuasive -- Michael Prodger * New Statesman *\u003cbr\u003eSerious mathematics at its intriguing, transporting best . . . [A] humorous, anecdotally rich dive into numerous mathematical theories * Kirkus *\u003cbr\u003eUnreasonably entertaining... reveals how geometric thinking can allow for everything from fairer American elections to better pandemic planning -- Parul Sehgal * New York Times *\u003cbr\u003eDroopy cheese and the curve of the Earth, the everyday and the cosmic, are beautifully interwoven in the mathematician Jordan Ellenberg's new book \u003ci\u003eShape\u003c\/i\u003e -- Derek Thompson * Atlantic *\u003cbr\u003eAlmost anyone is likely to enjoy Ellenberg's prose, and mind * Harvard Magazine *\u003c\/i\u003e\u003c\/p\u003e","brand":"Penguin Books Ltd","offers":[{"title":"Default Title","offer_id":48732513304919,"sku":"9780141991511","price":12.34,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9780141991511.jpg?v=1719997213"},{"product_id":"introduction-to-metric-and-topological-spaces-9780199563081","title":"Introduction to Metric and Topological Spaces","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003eThis fully updated new edition of Wilson Sutherland's classic text, Introduction to Metric and Topological Spaces, establishes the language of metric and topological spaces with continuity as the motivating concept, before developing its discussion to cover compactness, connectedness, and completeness.\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTrade Review\u003c\/b\u003e\u003cbr\u003eThe presentation, description and explanation throughout the seventeen short chapters are excellent, and the text can be described as self-contained, with many suitably chosen examples and exercises ,.. An interesting innovation for the new edition is having a companion web site in which more useful and relevant materials can be found. * Peter Shiu, The Mathematical Gazette *\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003ePREFACE; REFERENCES; INDEX","brand":"Oxford University Press","offers":[{"title":"Default Title","offer_id":48732865233239,"sku":"9780199563081","price":40.84,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9780199563081.jpg?v=1719998726"},{"product_id":"symmetry-9780199651986","title":"Symmetry","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003eIn the 1800s mathematicians introduced a formal theory of symmetry: group theory. Now a branch of abstract algebra, this subject first arose in the theory of equations. Symmetry is an immensely important concept in mathematics and throughout the sciences, and its applications range across the entire subject. Symmetry governs the structure of crystals, innumerable types of pattern formation, how systems change their state as parameters vary; and fundamental physics is governed by symmetries in the laws of nature.It is highly visual, with applications that include animal markings, locomotion, evolutionary biology, elastic buckling, waves, the shape of the Earth, and the form of galaxies. In this Very Short Introduction, Ian Stewart demonstrates its deep implications, and shows how it plays a major role in the current search to unify relativity and quantum theory. ABOUT THE SERIES: The Very Short Introductions series from Oxford University Press contains hundreds of titles in almost every subject area. These pocket-sized books are the perfect way to get ahead in a new subject quickly. Our expert authors combine facts, analysis, perspective, new ideas, and enthusiasm to make interesting and challenging topics highly readable.\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003eIntroduction ; 1. What is symmetry? ; 2. Origins of symmetry ; 3. Types of symmetry ; 4. Structure of groups ; 5. Groups and games ; 6. Nature's patterns ; 7. Nature's laws ; 8. Atoms of symmetry ; Further reading ; References","brand":"Oxford University Press","offers":[{"title":"Default Title","offer_id":48732876112215,"sku":"9780199651986","price":999.99,"currency_code":"GBP","in_stock":false}]},{"product_id":"geometry-for-the-classroom-9780387975641","title":"Geometry for the Classroom","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003eIntuition.- I1: Geometry is about shapes.- I2: and more shapes.- I3: Polygons in the plane.- I4: Angles in the plane.- I5: Walking north, east, south, and west in the plane.- I6: Areas of rectangles.- I7: What is the area of the shaded triangle?.- I8: Adding the angles of a triangle.- I9: Pythagorean theorem.- I10: Side Side Side (SSS).- I11: Parallel lines.- I12: Rectangles between parallels and the Z-principle.- I13: Areas: The principle of parallel slices.- I14: If two lines in the plane do not intersect, they are parallel.- I15: The first magnification principle: preliminary form.- I16: The first magnification principle: final form.- I17: Area inside a circle of radius one.- I18: When are triangles congruent?.- I19: Magnifications preserve parallelism and angles.- I20: The principle of similarity.- I21: Proportionality of segments cut by parallels.- I22: Finding the center of a triangle.- I23: Concurrence theorem for altitudes of a triangle.- I24: Inscribing angles in circles.- I25: Fun facts about circles, and limiting cases.- I26: Degrees and radians.- I27: Trigonometry.- I28: Tangent a =(rise)\/(run).- I29: Everything you always wanted to know about trigonometry but were afraid to ask.- I30: The law of sines and the law of cosines.- I31: Figuring areas.- I32: The second magnification principle.- I33: Volume of a pyramid.- I34: Of cones and collars.- I35: Sphereworld.- I36: Segments and angles in sphereworld.- I37: Of boxes, cylinders, and spheres.- I38: If it takes one can of paint to paint a square one widget on a side, how many cans does it take to paint a sphere with radius r widgets?.- I39: Excess angle formula for spherical triangles.- I40: Hyperbolic-land.- Construction.- C1: Copying triangles.- C2: Copying angles.- C3: Constructing perpendiculars.- C4:Constructing parallels.- C5: Constructing numbers as lengths.- C6 Given a number, construct its square root.- C7: Constructing parallelograms.- C8: Constructing a regular 3-gon and 4-gon.- C9: Constructing a regular 5-gon.- C10: Constructing a regular 6-gon.- C11: Constructing a regular 7-gon (almost).- C12: Constructing a regular tetrahedron.- C13: Constructing a cube and an octohedron.- C14: Constructing a dodecahedron and an icosahedron.- C15: Constructing the baricenter of a triangle.- C16: Constructing the altitudes of a triangle.- C17: Constructing a circle through three points.- C18: Bisecting a given angle.- C19: Putting circles inside angles.- C20: Inscribing circles in polygons.- C21: Circumscribing circles about polygons.- C22: Drawing triangles on the sphere.- C23: Constructing hyperbolic lines.- Proof.- P1: Distance on the line, motions of the line.- P2: Distance in the plane.- P3: Motions of the plane.- P4: A list of motions of the line.- P5: A complete list of motions of the line.- P6: Motions of the plane: Translations.- P7: Motions of the plane: Rotations.- P8: Motions of the plane: Vertical flip.- P9: Motions of the plane fixing (0,0) and (a,0).- P10: A complete list of motions of the plane.- P11: Distance in space.- P12: Motions of space.- P13: The triangle inequality.- P14: Co-ordinate geometry is about shapes and more shapes.- P15: The shortest path between two points.- P16: The unique line through two given points.- P17: Proving SSS.- Computer Programs.- CP1: Information you'll need about the CP-pages.- CP2: Given two points, construct the segment, ray, and line that pass through them.- CP3: Given a line and a point, construct the perpendicular to the line through the point, or the parallel to the line through the point.- CP4: Given asegment, construct its perpendicular bisector.- CP5: Given an angle, construct the bisector.- CP6: Given three vertices, construct the triangle and its medians.- CP7: Given three vertices, construct the triangle and its angle bisectors.- CP8: Given three vertices, construct the triangle and its altitudes.- CP9: Given a figure in the plane and a positive number R, magnify the figure by a factor of R.- CP10: Given a figure in the plane and two positive numbers R and S, magnify the figure by a factor of R in the horizontal direction and by a factor of S in the vertical direction.- CP11: Given the center and radius of a circle, and two positive numbers R and S, magnify the circle by a factor of R in the horizontal direction and by a factor of S in the vertical direction.- CP12: TRANSLATIONS: Given a figure in the plane and two numbers a and b, show the motion m(x,y) = (x + a, y + b).- CP13: ROTATIONS: Given a figure in the plane and two numbers c and s, so that c2 + s2 = 1, show the motion m(x,y) = (cx - sy, sx + cy).- CP14: FLIPS: Given a figure in the plane, show the motion m(x,y) = (x, -y).- CP15: Composing a set of two motions.- CP16: Composing a series of motions.- CP17: Given a point and a positive number R, construct the circle of radius R about the point.- CP18: Given three points in the plane, construct the unique circle that passes through all three points.- CP19: Given the center of a circle and a point on the circle, construct the tangent to the circle through the point.- CP20: Given a circle and a point outside the circle, construct the two lines tangent to the circle that pass through the point.- CP21: Given a point X inside or outside the circle of radius one and center O, construct the reciprocal point X'.- CP22: Given two points inside the circle ofradius one about (0,0), construct the hyperbolic line containing the two points.\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003eIntuition.- I1: Geometry is about shapes.- I2:… and more shapes.- I3: Polygons in the plane.- I4: Angles in the plane.- I5: Walking north, east, south, and west in the plane.- I6: Areas of rectangles.- I7: What is the area of the shaded triangle?.- I8: Adding the angles of a triangle.- I9: Pythagorean theorem.- I10: Side Side Side (SSS).- I11: Parallel lines.- I12: Rectangles between parallels and the Z-principle.- I13: Areas: The principle of parallel slices.- I14: If two lines in the plane do not intersect, they are parallel.- I15: The first magnification principle: preliminary form.- I16: The first magnification principle: final form.- I17: Area inside a circle of radius one.- I18: When are triangles congruent?.- I19: Magnifications preserve parallelism and angles.- I20: The principle of similarity.- I21: Proportionality of segments cut by parallels.- I22: Finding the center of a triangle.- I23: Concurrence theorem for altitudes of a triangle.- I24: Inscribing angles in circles.- I25: Fun facts about circles, and limiting cases.- I26: Degrees and radians.- I27: Trigonometry.- I28: Tangent a =(rise)\/(run).- I29: Everything you always wanted to know about trigonometry but were afraid to ask.- I30: The law of sines and the law of cosines.- I31: Figuring areas.- I32: The second magnification principle.- I33: Volume of a pyramid.- I34: Of cones and collars.- I35: Sphereworld.- I36: Segments and angles in sphereworld.- I37: Of boxes, cylinders, and spheres.- I38: If it takes one can of paint to paint a square one widget on a side, how many cans does it take to paint a sphere with radius r widgets?.- I39: Excess angle formula for spherical triangles.- I40: Hyperbolic-land.- Construction.- C1: Copying triangles.- C2: Copying angles.- C3: Constructing perpendiculars.- C4: Constructing parallels.- C5: Constructing numbers as lengths.- C6 Given a number, construct its square root.- C7: Constructing parallelograms.- C8: Constructing a regular 3-gon and 4-gon.- C9: Constructing a regular 5-gon.- C10: Constructing a regular 6-gon.- C11: Constructing a regular 7-gon (almost).- C12: Constructing a regular tetrahedron.- C13: Constructing a cube and an octohedron.- C14: Constructing a dodecahedron and an icosahedron.- C15: Constructing the baricenter of a triangle.- C16: Constructing the altitudes of a triangle.- C17: Constructing a circle through three points.- C18: Bisecting a given angle.- C19: Putting circles inside angles.- C20: Inscribing circles in polygons.- C21: Circumscribing circles about polygons.- C22: Drawing triangles on the sphere.- C23: Constructing hyperbolic lines.- Proof.- P1: Distance on the line, motions of the line.- P2: Distance in the plane.- P3: Motions of the plane.- P4: A list of motions of the line.- P5: A complete list of motions of the line.- P6: Motions of the plane: Translations.- P7: Motions of the plane: Rotations.- P8: Motions of the plane: Vertical flip.- P9: Motions of the plane fixing (0,0) and (a,0).- P10: A complete list of motions of the plane.- P11: Distance in space.- P12: Motions of space.- P13: The triangle inequality.- P14: Co-ordinate geometry is about shapes and more shapes.- P15: The shortest path between two points….- P16: The unique line through two given points.- P17: Proving SSS.- Computer Programs.- CP1: Information you’ll need about the CP-pages.- CP2: Given two points, construct the segment, ray, and line that pass through them.- CP3: Given a line and a point, construct the perpendicular to the line through the point, or the parallel to the line through the point.- CP4: Given a segment, construct its perpendicular bisector.- CP5: Given an angle, construct the bisector.- CP6: Given three vertices, construct the triangle and its medians.- CP7: Given three vertices, construct the triangle and its angle bisectors.- CP8: Given three vertices, construct the triangle and its altitudes.- CP9: Given a figure in the plane and a positive number R, magnify the figure by a factor of R.- CP10: Given a figure in the plane and two positive numbers R and S, magnify the figure by a factor of R in the horizontal direction and by a factor of S in the vertical direction.- CP11: Given the center and radius of a circle, and two positive numbers R and S, magnify the circle by a factor of R in the horizontal direction and by a factor of S in the vertical direction.- CP12: TRANSLATIONS: Given a figure in the plane and two numbers a and b, show the motion m(x,y) = (x + a, y + b).- CP13: ROTATIONS: Given a figure in the plane and two numbers c and s, so that c2 + s2 = 1, show the motion m(x,y) = (cx - sy, sx + cy).- CP14: FLIPS: Given a figure in the plane, show the motion m(x,y) = (x, -y).- CP15: Composing a set of two motions.- CP16: Composing a series of motions.- CP17: Given a point and a positive number R, construct the circle of radius R about the point.- CP18: Given three points in the plane, construct the unique circle that passes through all three points.- CP19: Given the center of a circle and a point on the circle, construct the tangent to the circle through the point.- CP20: Given a circle and a point outside the circle, construct the two lines tangent to the circle that pass through the point.- CP21: Given a point X inside or outside the circle of radius one and center O, construct the reciprocal point X’.- CP22: Given two points inside the circle of radius one about (0,0), construct the hyperbolic line containing the two points.","brand":"Springer-Verlag New York Inc.","offers":[{"title":"Default Title","offer_id":48733727785303,"sku":"9780387975641","price":33.74,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9780387975641.jpg?v=1720001408"},{"product_id":"the-hidden-chapter-an-investigation-into-the-custody-of-lost-knowledge-9780956639400","title":"The Hidden Chapter An Investigation into the","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003e","brand":"Byrom Projects","offers":[{"title":"Default Title","offer_id":48737906327895,"sku":"9780956639400","price":21.25,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9780956639400.jpg?v=1723811583"},{"product_id":"the-messenger-9780956639417","title":"The Messenger","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003eJoy Hancox reveals the culmination of an amazing journey she began 35 years ago when she received the Byrom Collection of geometric drawings in two brown paper bags.","brand":"Byrom Projects","offers":[{"title":"Default Title","offer_id":48737906360663,"sku":"9780956639417","price":999.99,"currency_code":"GBP","in_stock":false}]},{"product_id":"the-calabi-problem-for-fano-threefolds-9781009193399","title":"The Calabi Problem for Fano Threefolds","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003eThis book determines whether the general member of each family of smooth Fano threefolds admits a KählerEinstein metric, using K-stability. Complemented by appendices outlining results needed to understand this active area, it will be essential reading for researchers and graduate students working on algebraic and complex geometry.\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTrade Review\u003c\/b\u003e\u003cbr\u003e'The notion of K-stability for Fano manifold has origins in differential geometry and geometric analysis but is now also of fundamental importance in algebraic geometry, with recent developments in moduli theory. This monograph gives an account of a large body of research results from the last decade, studying in depth the case of Fano threefolds. The wealth of material combines in a most attractive way sophisticated modern theory and the detailed study of examples, with a classical flavour. The authors obtain complete results on the K-stability of generic elements of each of the 105 deformation classes. The concluding chapter contains some fascinating conjectures about the 34 families which may contain both stable and unstable manifolds, which will surely be the scene for much further work. The book will be an essential reference for many years to come.' Sir Simon Donaldson, F.R.S., Imperial College London\u003cbr\u003e'It is a difficult problem to check whether a given Fano variety is K-polystable. This book settles this problem for the general members of all the 105 deformation families of smooth Fano 3-folds. The book is recommended to anyone interested in K-stability and existence of Kähler-Einstein metrics on Fano varieties.' Caucher Birkar FRS, Tsinghua University and University of Cambridge\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003eIntroduction; 1. K-stability; 2. Warm-up: smooth del Pezzo surfaces; 3. Proof of main theorem: known cases; 4. Proof of main theorem: special cases; 5. Proof of main theorem: remaining cases; 6. The big table; 7. Conclusion; Appendix. Technical results used in proof of main theorem; References; Index.","brand":"Cambridge University Press","offers":[{"title":"Default Title","offer_id":48738010202455,"sku":"9781009193399","price":71.25,"currency_code":"GBP","in_stock":true}]},{"product_id":"the-geometry-of-the-last-supper-leonardo-da-vinci-s-hidden-composition-and-its-symbolism-9781803137612","title":"The Geometry of the Last Supper: Leonardo da","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003e\u003cp\u003eHave you ever stopped to consider what goes into a painting beyond what you can see? Welcome to a fascinating journey of discovery...\u003c\/p\u003e \u003cp\u003e\u003cem\u003eThe Geometry of the Last Supper \u003c\/em\u003eskilfully blends the worlds of Renaissance art, geometry and symbolism, allowing the reader to uncover, for the very first time, the simple and delicate geometry at play in the composition of Leonardo da Vinci’s masterpiece. Never before has a single and unified solution been proposed to explain the making of the \u003cem\u003eLast Supper.\u003c\/em\u003e\u003c\/p\u003e \u003cp\u003eDuring the Renaissance, symbolic significance was ascribed to geometrical shapes. These symbols, such as those encountered in \u003cem\u003eThe Geometry of the Last Supper, \u003c\/em\u003ehave an ancient history, deeply rooted in a tradition that goes back to Pythagoras and beyond. Thanks to them, the geometry presented in this book comes to life as the inner message of the \u003cem\u003eLast Supper\u003c\/em\u003e is revealed.\u003c\/p\u003e \u003cp\u003eOnce the meaning of the geometry becomes clear, you will be left with the feeling of having been let into a priceless secret. Ideal for any art-lovers or any reader who enjoys looking behind the layers.\u003c\/p\u003e","brand":"Troubador Publishing","offers":[{"title":"Default Title","offer_id":48741854970199,"sku":"9781803137612","price":21.24,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9781803137612.jpg?v=1720059054"},{"product_id":"geometric-patterns-from-tiles-and-brickwork-9781899618125","title":"Geometric Patterns from Tiles and Brickwork","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003ePatterns from tiles and brickwork are explored and demonstrated so that they can be used in your own designs. Perfect follow up activities for school and other youth trips to places or architectural significance - or just your local high street or even some schools. Robert Field has travelled extensively and has taken his camera and a keen eye with him wherever he has gone. Many people will be both suprised and delighted by the sheer number and variety of interesting patterns that he has discovered. This is one of a series of Geometric Patterns books that will appeal both to those who have a particular interest in the topic covered but also to those who are looking for a rich resource of pattern designs.","brand":"Tarquin Publications","offers":[{"title":"Default Title","offer_id":48742416875863,"sku":"9781899618125","price":6.99,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9781899618125.jpg?v=1720061305"},{"product_id":"advanced-polyhedra-2-the-sixth-stellation-of-the-icosahedron-9781899618620","title":"Advanced Polyhedra 2: The Sixth Stellation of the","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003e","brand":"Tarquin Publications","offers":[{"title":"Default Title","offer_id":48742417629527,"sku":"9781899618620","price":7.41,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9781899618620.jpg?v=1720061308"},{"product_id":"advanced-polyhedra-3-the-compound-of-five-cubes-9781899618637","title":"Advanced Polyhedra 3: The Compound of Five Cubes","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003e","brand":"Tarquin Publications","offers":[{"title":"Default Title","offer_id":48742417727831,"sku":"9781899618637","price":7.41,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9781899618637.jpg?v=1722247445"},{"product_id":"geometrical-quilts-9781899618835","title":"Geometrical Quilts","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003e","brand":"Tarquin Publications","offers":[{"title":"Default Title","offer_id":48742417760599,"sku":"9781899618835","price":16.76,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9781899618835.jpg?v=1720061309"},{"product_id":"geometric-patterns-from-roman-mosaics-and-how-to-draw-them-9781911093428","title":"Geometric Patterns from Roman Mosaics: and How to","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003e","brand":"Tarquin Publications","offers":[{"title":"Default Title","offer_id":48742598508887,"sku":"9781911093428","price":8.99,"currency_code":"GBP","in_stock":true}]},{"product_id":"compound-polyhedra-modular-origami-9781913565725","title":"Compound Polyhedra: Modular Origami","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003e","brand":"Tarquin Publications","offers":[{"title":"Default Title","offer_id":48742740328791,"sku":"9781913565725","price":11.35,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9781913565725.jpg?v=1720062630"},{"product_id":"mindful-maths-2-use-your-geometry-to-solve-these-puzzling-pictures-9781913565657","title":"Mindful Maths 2: Use your Geometry to Solve these","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003e","brand":"Tarquin Publications","offers":[{"title":"Default Title","offer_id":48742740459863,"sku":"9781913565657","price":9.25,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9781913565657.jpg?v=1720062632"},{"product_id":"birds-bees-and-burgers-puzzling-geometry-from-enigmaths-9781913565589","title":"Birds, Bees and Burgers: Puzzling Geometry from","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003e","brand":"Tarquin Publications","offers":[{"title":"Default Title","offer_id":48742740623703,"sku":"9781913565589","price":11.41,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9781913565589.jpg?v=1720062631"},{"product_id":"compound-polyhedra-modular-origam-9781913565732","title":"Compound Polyhedra: Modular Origam","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003e","brand":"Tarquin Publications","offers":[{"title":"Default Title","offer_id":48742740689239,"sku":"9781913565732","price":21.21,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9781913565732.jpg?v=1720062632"},{"product_id":"toshimasa-kikuchi-mathematical-objects-9782956615033","title":"Toshimasa Kikuchi: Mathematical Objects","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003eThe work of the Japanese sculptor Toshimasa Kikuchi (born in 1979) is somehow bewilderingly obvious. Trained in the restoration of Buddhist statues, mastering to perfection the techniques of classical Japanese statuary, he carves pure forms in wood - geometric, hydrodynamic or figurative. His scientific repertory is of all time (mathematics, engineering, natural history), but his preferred materials and techniques are firmly grounded in tradition (Japanese hinoki cypress, urushi lacquer, kinpaku gold leaf). The installation he presents for his Carte Blanche at the musee Guimet in Paris, brings together a series of slender sculptures in lacquered wood of mathematical objects, in the tradition of the celebrated photographs that Man Ray took of them. These abstract forms, hanging from the ceiling like mobiles or laid on the floor like devotional objects, take shape through a virtuosity and craftsmanship seldom found in contemporary art. The book is lavishly illustrated by the Japanese photographer Tadayuki Minamoto, who was able to capture the magnificence of the mathematical abstraction of the works of Kikuchi; by photographs and paintings by Man Ray; and with fascinating mathematical objects from the Institut Henri Poincare, Paris, photographed by the French photographer Bertrand Michau. It is essential reading for lovers of surrealism and of the early years of twentieth-century abstraction as well as for all who are intrigued by the close relationship between art and mathematics.\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003eForeword by Sophie Makariou;  Lustrous Abstractions: The Sculpture of Kikuchi Toshimasa by Kei Osawa; Needles : Works by Kikuchi Toshimasa, photographs by Minamoto Tadayuki; Human Equations: Man Ray's Photographs of Mathematical Models, by Edouard Sebline; Mathematical Objects - Works by Man Ray; The Collection of Mathematical Objects at the Institut Henri Poincare (IHP), by Sylvie Benzoni-Gavage; The Music of Surfaces, by Sylvie Benzoni-Gavage; Mathematical Models from the Collection of the Institut Henri Poincare, photographs by Bertrand Michau; Acknowledgements; Picture Credits","brand":"Galerie Mingei","offers":[{"title":"Default Title","offer_id":48743020724567,"sku":"9782956615033","price":27.0,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9782956615033.jpg?v=1720063775"},{"product_id":"algebra-and-geometry-with-python-9783030615437","title":"Algebra and Geometry with Python","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003e\u003cp\u003eThis book teaches algebra and geometry. The authors dedicate chapters to the key issues of matrices, linear equations, matrix algorithms, vector spaces, lines, planes, second-order curves, and elliptic curves. \u003c\/p\u003e\u003cp\u003eThe text is supported throughout with problems, and the authors have included source code in Python in the book. The book is suitable for advanced undergraduate and graduate students in computer science.\u003c\/p\u003e  \u003cp\u003e \u003c\/p\u003e\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTrade Review\u003c\/b\u003e\u003cbr\u003e“It is most interesting to combine a classical mathematical topic with a new evolving programming language and exactly this is obtained by this book. … This material is used as a case study for their implementation for solving problems in theoretical and practical cryptography. The ‘roadmap’ of the content of this also quite interesting.” (Panayiotis Vlamos, zbMATH 1480.00002, 2022)\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003e\u003cp\u003eMatrices and Matrix Algorithms.- Matrix Algebra.- Systems of Linear Equations.- Complex Numbers and Matrices.- Vector Spaces.- Vectors in a Three-Dimensional Space.- Equation of a Straight Line on a Plane.- Equation of a Plane in Space.- Equation of a Line in Space.- Bilinear and Quadratic Forms.- Curves of the Second-Order.- Elliptic Curves.- Appendix A, Basic Operators in Python and C.- Appendix B, Trigonometric Formulae.- Appendix C, The Greek Alphabet.- References.- Name Index.- Subject Index.\u003cbr\u003e\u003c\/p\u003e","brand":"Springer Nature Switzerland AG","offers":[{"title":"Default Title","offer_id":48743042023767,"sku":"9783030615437","price":54.99,"currency_code":"GBP","in_stock":true}]},{"product_id":"linear-fractional-transformations-an-illustrated-introduction-9783031250019","title":"Linear Fractional Transformations: An Illustrated","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003e\u003cp\u003eThe principle aim of this unique text is to illuminate the beauty of the subject both with abstractions like proofs and mathematical text, and with visuals, such as abundant illustrations and diagrams. With few mathematical prerequisites, geometry is presented through the lens of linear fractional transformations. The exposition is motivational and the well-placed examples and exercises give students ample opportunity to pause and digest the material. The subject builds from the fundamentals of Euclidean geometry, to inversive geometry, and, finally, to hyperbolic geometry at the end. Throughout, the author aims to express the underlying philosophy behind the definitions and mathematical reasoning. \u003c\/p\u003e This text may be used as primary for an undergraduate geometry course or a freshman seminar in geometry, or as supplemental to instructors in their undergraduate courses in complex analysis, algebra, and number theory. There are elective courses that bring together seemingly disparate topics and this text would be a welcome accompaniment.\u003cbr\u003e\u003cp\u003e\u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003eMotivation.- I Euclidean and Inversive Geometry.- Euclidean Isometries and Similarities.- Inversive Geometry.- Applications of Inversive Geometry.- II Non-Euclidean Geometry.- Spherical Geometry.- Appendix: Set Theory.","brand":"Springer International Publishing AG","offers":[{"title":"Default Title","offer_id":48743077183831,"sku":"9783031250019","price":38.24,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9783031250019.jpg?v=1720064009"},{"product_id":"elements-de-geometrie-rigide-volume-i-construction-et-etude-geometrique-des-espaces-rigides-9783034800112","title":"Éléments de Géométrie Rigide: Volume I.","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003e\u003cp\u003eLa géométrie rigide est devenue, au fil des ans, un outil indispensable dans un grand nombre de questions en géométrie arithmétique. Depuis ses premières fondations, posées par J. Tate en 1961, la théorie s'est développée dans des directions variées. Ce livre est le premier volume d'un traité qui expose un développement systématique de la géométrie rigide suivant l'approche de M. Raynaud, basée sur les schémas formels à éclatements admissibles près. Ce volume est consacré à la construction des espaces rigides dans une situation relative et à l'étude de leurs propriétés géométriques. L'accent est particulièrement mis sur l'étude de la topologie admissible d'un espace rigide cohérent, analogue de la topologie de Zariski d'un schéma. Parmi les sujets traités figurent l'étude des faisceaux cohérents et de leur cohomologie, le théorème de platification par éclatements admissibles qui généralise au cadre formel-rigide un théorème de Raynaud-Gruson dans le cadre algébrique, et le théorème de comparaison du type GAGA pour les faisceaux cohérents. Ce volume contient aussi de larges rappels et compléments de la théorie des schémas formels de Grothendieck. Ce traité est destiné tout autant aux étudiants ayant une bonne connaissance de la géométrie algébrique et souhaitant apprendre la géométrie rigide qu'aux experts en géométrie algébrique et en théorie des nombres comme source de références. \u003c\/p\u003e\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003ePréface par Michel Raynaud.- Avant-propos.- Introduction.- Chapitre 1. Préliminaires.- Chapitre 2. Géométrie formelle.- Chapitre 3. Éclatements admissibles.- Chapitre 4. Géométrie rigide.- Chapitre 5. Platitude.- Chapitre 6. Invariants différentiels. Morphismes lisses.- Chapitre 7. Espaces rigides quasi-séparés.- Bibliographie.- Index.","brand":"Birkhauser Verlag AG","offers":[{"title":"Default Title","offer_id":48743087309143,"sku":"9783034800112","price":94.99,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9783034800112.jpg?v=1720064055"},{"product_id":"putnam-and-beyond-9783319589862","title":"Putnam and Beyond","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003e\u003cp\u003eThis book takes the reader on a journey through the world of college mathematics, focusing on some of the most important concepts and results in the theories of polynomials, linear algebra, real analysis, differential equations, coordinate geometry, trigonometry, elementary number theory, combinatorics, and probability. Preliminary material provides an overview of common methods of proof: argument by contradiction, mathematical induction, pigeonhole principle, ordered sets, and invariants. Each chapter systematically presents a single subject within which problems are clustered in each section according to the specific topic. The exposition is driven by nearly 1300 problems and examples chosen from numerous sources from around the world; many original contributions come from the authors. The source, author, and historical background are cited whenever possible. Complete solutions to all problems are given at the end of the book. This second edition includes new sections on quad\u003c\/p\u003eratic polynomials, curves in the plane, quadratic fields, combinatorics of numbers, and graph theory, and added problems or theoretical expansion of sections on polynomials, matrices, abstract algebra, limits of sequences and functions, derivatives and their applications, Stokes' theorem, analytical geometry, combinatorial geometry, and counting strategies.\u003cp\u003e\u003c\/p\u003e\u003cp\u003e \u003c\/p\u003e\u003cp\u003eUsing the W.L. Putnam Mathematical Competition for undergraduates as an inspiring symbol to build an appropriate math background for graduate studies in pure or applied mathematics, the reader is eased into transitioning from problem-solving at the high school level to the university and beyond, that is, to mathematical research. This work may be used as a study guide for the Putnam exam, as a text for many different problem-solving courses, and as a source of problems for standard courses in undergraduate mathematics. \u003ci\u003ePutnam and Beyond\u003c\/i\u003e is organized for independent study by undergraduate and gradu\u003c\/p\u003eate students, as well as teachers and researchers in the physical sciences who wish to expand their mathematical horizons.\u003cp\u003e\u003c\/p\u003e\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003ePreface to the Second Edition.- Preface to the First Edition.- A Study Guide.- 1. Methods of Proof.- 2. Algebra.- 3. Real Analysis.- 4. Geometry and Trigonometry.- 5. Number Theory.- 6. Combinatorics and Probability.- Solutions.- Index of Notation.- Index.","brand":"Springer International Publishing AG","offers":[{"title":"Default Title","offer_id":48743099466071,"sku":"9783319589862","price":999.99,"currency_code":"GBP","in_stock":false}]},{"product_id":"inspired-by-s-s-chern-a-memorial-volume-in-honor-of-a-great-mathematician-9789812700629","title":"Inspired By S S Chern: A Memorial Volume In Honor","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003eShiing-Shen Chern (1911-2004) was one of the leading differential geometers of the twentieth century. In 1946, he founded the Mathematical Institute of Academia Sinica in Shanghai, which was later moved to Nanking. In 1981, he founded the Mathematical Sciences Research Institute (MSRI) at Berkeley and acted as the director until 1984. In 1985, he founded the Nankai Institute of Mathematics in Tianjin. He was awarded the National Medal of Science in 1975; the Wolf Prize in mathematics in 1984; and the Shaw Prize in mathematical sciences in 2004.Chern's works span all the classic fields of differential geometry: the Chern-Simons theory; the Chern-Weil theory, linking curvature invariants to characteristic classes; Chern classes; and other areas such as projective differential geometry and webs that are mathematically rich but currently have a lower profile. He also published work in integral geometry, value distribution theory of holomorphic functions, and minimal submanifolds.Inspired by Chern and his work, former colleagues, students and friends — themselves highly regarded mathematicians in their own right — come together to honor and celebrate Chern's huge contributions. The volume, organized by Phillip Griffiths of the Institute for Advanced Study (Princeton), contains contributions by Michael Atiyah (University of Edinburgh), C-M Bai (Nankai), Robert Bryant (Duke University), Kung-Ching Chang (Peking University), Jeff Cheeger (New York University), Simon K Donaldson (Imperial College), Hélène Esnault (Universität Duisburg-Essen), Mo-Lin Ge (Nankai), Mark Green (University of California at Los Angeles), Phillip Griffiths (Institute for Advanced Study), F Reese Harvey (Rice University), Alain Hénaut (Université Bordeaux 1), Niky Kamran (McGill University), Bruce Kleiner (Yale), H Blaine Lawson, Jr (Suny at Stony Brook), Yiming Long (Nankai), Xiaonan Ma (UMR 7640 du CNRS), Luc Pirio (IRMAR, France), Graeme Segal (Oxford), Gang Tian (MIT), Jean-Marie Trepreau (Institut de Mathématiques de Jussieu), Jeff Viaclovsky (MIT), Wei Wang (Nankai), Wentsun Wu (Chinese Academy of Sciences), C N Yang (Tsinghua), Tan Zhang (Murray State University), Weiping Zhang (Nankai) and others.\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003eIn Memory of Professor S S Chern (C N Yang); Twisted K-Theory and Cohomology (M Atiyah); Yangian and Its Applications (C-M Bai et al.); Geodesically Reversible Finsler 2-Spheres of Constant Curvature (R L Bryant); Multiple Solutions of the Prescribed Mean Curvature Equation (K C Chang \u0026amp; T Zhang); On the Differentiability of Lipschitz Maps from Metric Measure Spaces to Banach Spaces (J Cheeger \u0026amp; B Kleiner); Two-Forms on Four-Manifolds and Elliptic Equations (S K Donaldson); Partial Connection for p-Torsion Line Bundles in Characteristic p \u0026gt; 0 (H Esnault); Algebraic Cycles and Singularities of Normal Functions, II (M Green \u0026amp; P Griffiths); Planar Web Geometry Through Abelian Relations and Singularities (A Henaut); Transitive Analytic Lie Pseudo-Groups (N Kamran); Stability of Closed Characteristics on Compact Convex Hypersurfaces (Y Long \u0026amp; W Wang);  -Invariant and Flat Vector Bundles II (X Ma \u0026amp; W Zhang); On Planar Webs with Infinitesimal Automorphisms (D Marin et al.); Projective Linking and Boundaries of Positive Holomorphic Chains in Projective Manifolds, Part II (F R Harvey \u0026amp; H B Lawson, Jr); Aspects of Metric Geometry of Four Manifolds (G Tian); Algebrisation Des Tissus De Codimension 1: La Generalisation D'un Theoreme De Bol (J-M Trepreau); Conformal Geometry and Fully Nonlinear Equations (J Viaclovsky); Memory of My First Research Teacher: The Great Geometer Chern Shiing-Shen (W Wu); Some Open Gromov-Witten Invariants of the Resolved Conifold (J Zhou).","brand":"World Scientific Publishing Co Pte Ltd","offers":[{"title":"Default Title","offer_id":48743295713623,"sku":"9789812700629","price":45.6,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9789812700629.jpg?v=1720064971"},{"product_id":"geometry-relativity-and-the-fourth-dimension-9780486234007","title":"Geometry Relativity and the Fourth Dimension","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003eExposition of 4th dimension, concepts of relativity as Flatland characters continue adventures. Popular, easily followed yet accurate, profound. Topics include curved space time as a higher dimension, special relativity, and shape of space-time. Accessible to lay readers but also of interest to specialists. Includes 141 illustrations.","brand":"Dover Publications Inc.","offers":[{"title":"Default Title","offer_id":48864658882903,"sku":"9780486234007","price":9.49,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9780486234007.jpg?v=1722272936"},{"product_id":"ghyka-m-geometry-of-art-and-life-9780486235424","title":"Ghyka M Geometry of Art and Life","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003eThis classic study probes the geometric interrelationships between art and life in discussions ranging from dissertations by Plato, Pythagoras, and Archimedes to examples of modern architecture and art. Other topics include the Golden Section, geometrical shapes on the plane, geometrical shapes in space, crystal lattices, and other fascinating subjects. 80 plates and 64 figures.","brand":"Dover Publications Inc.","offers":[{"title":"Default Title","offer_id":48864658948439,"sku":"9780486235424","price":999.99,"currency_code":"GBP","in_stock":false}]},{"product_id":"famous-problems-in-geometry-and-how-to-solve-them-dover-books-explaining-science-dover-books-on-mathematics-9780486242972","title":"Famous Problems in Geometry and How to Solve Them","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003eDelve into the development of modern mathematics and match wits with Euclid, Newton, Descartes, and others. Each chapter explores an  individual type of challenge, with commentary and practice problems. Solutions.","brand":"Dover Publications Inc.","offers":[{"title":"Default Title","offer_id":48864660488535,"sku":"9780486242972","price":10.44,"currency_code":"GBP","in_stock":true}]},{"product_id":"geometry-9780486658124","title":"Geometry","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003eLucid, well-written introduction to elementary geometry usually included in undergraduate and first-year graduate courses in mathematics. Topics include vector algebra in the plane, circles and coaxial systems, mappings of the Euclidean plane, similitudes, isometries, mappings of the intensive plane, much more. Includes over 500 exercises.","brand":"Dover Publications Inc.","offers":[{"title":"Default Title","offer_id":48864739885399,"sku":"9780486658124","price":19.94,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9780486658124.jpg?v=1722273022"},{"product_id":"measurement-9780674284388","title":"Measurement","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003eLockhart’s \u003ci\u003eMathematician’s Lament\u003c\/i\u003e outlined how we introduce math to students in the wrong way. \u003ci\u003eMeasurement\u003c\/i\u003e explains how math should be done. With plain English and pictures, he makes complex ideas about shape and motion intuitive and graspable, and offers a solution to math phobia by introducing us to math as an artful way of thinking and living.\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTrade Review\u003c\/b\u003e\u003cbr\u003eA love song and a philosophical manifesto about the pleasures and frustrations, but mainly the pleasures, of doing math.\u003cbr\u003eIn place of the usual boxed and high-lighted formulas and tricks, \u003ci\u003eMeasurement\u003c\/i\u003e offers questions to be pondered. Lockhart invites readers to trade tutorial fake problems about actual objects, which lead students to abhor school mathematics, for real problems about fantastical objects, which lead mathematicians to love math. * Science *\u003cbr\u003eA conversational book about mathematics as an art that invites the reader to join in the fun. Sounding every bit the teacher whose love for his subject is infectious, he guides us through exercises in geometry and calculus—giving information and hints along the way while always encouraging us to ask, and answer, ‘Why?’ Lockhart does not try to make math seem easy; instead he wants his readers to understand that the difficulty brings rewards. * Scientific American *\u003cbr\u003eThis invitation to tackle mathematical questions is infused with the joys of the rarefied reality of maths. Paul Lockhart largely avoids complex formulae and the wilder shores of jargon, opting instead for simple geometric drawings, lucid instructions and honest warnings about the hurdles. Covering size, shape, space and time, Lockhart, a maths teacher, gets through scores of problems, from showing that a cone in a hemisphere occupies half the volume to determining the size of the largest circle that can sit at the bottom of a parabola. Elegant, amusing and challenging. * Nature *\u003cbr\u003eThis book forced me to use mental muscles I haven’t exercised in a long time, but it felt fantastic! Paul Lockhart is a mathematics evangelist; his passion for his subject is evident on every page, in every line. Looking at the subject of Measurement, he takes the reader on a journey that covers geometry, algebra, trigonometry, and on through differential calculus. He has a conversational tone and self-deprecating humor that sets the reader at ease. He understands that many people have been turned off of mathematics. His attitude is playful and joyous… Math is usually taught in such a compartmentalized way that it loses any meaning or coherence, and certainly any sense of wonder or beauty, but \u003ci\u003eMeasurement\u003c\/i\u003e restores the connection. Paul Lockhart feels that math is the most beautiful, abstract and pure art form, and that it is actually fun! By the end of the book, you come to agree with him. * Sacramento Book Review *\u003cbr\u003eThere are many books available these days on what mathematicians do, and this is one of the best… Lockhart’s approach is fresh and effective. * Choice *\u003cbr\u003eLockhart presents math as an art and argues that just as there is no systematic way to create beautiful and meaningful art, there is also no method for producing beautiful and meaningful mathematical arguments. Doing mathematics, according to Lockhart, is to make a discovery (by, say, physical objects like string or rubber bands) and then to explain it in the simplest and most elegant way possible. Using illustrations of various shapes and mathematical formulas, he leads readers through several problems step by step, encouraging them to collaborate with others in working through the problem. Measuring, for example, is relative because it involves comparing the object being measured to another object. Measurement is only one of the many rivers in the ‘vast, ever-expanding jungle’ of mathematics, which for Lockhart satisfies our need to find patterns as well as our curiosity… His playful and ingenious approach not only takes the fear out of math but also elegantly illustrates that universe and the joy he finds in it. * Publishers Weekly *\u003cbr\u003eNo matter what mathematical education you had, or didn’t have, you will be delighted by this enticing book if you take up Paul Lockhart’s invitation to engage in the mathematical sensibility that radiates from its pages, and try your own hand—not only at answering, but even more fruitfully, at formulating questions as you explore the world of mathematics.","brand":"Harvard University Press","offers":[{"title":"Default Title","offer_id":48865486307671,"sku":"9780674284388","price":18.86,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9780674284388.jpg?v=1722274200"},{"product_id":"beautiful-geometry-9780691175881","title":"Beautiful Geometry","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003e\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTrade Review\u003c\/b\u003e\u003cbr\u003eHonorable Mention for the 2015 PROSE Award in Popular Science \u0026amp; Popular Mathematics, Association of American Publishers \"A book that stimulates the mind as well as the eye.\"--Scientific American \"The combination of art and exposition was quite effective. The writing is accessible to most reasonably well-educated laypeople, and I imagine that many such people would derive considerable pleasure dipping into this attractive and interesting book.\"--Mark Hunacek, MAA Reviews \"Eli Maor's lively writing benefits in equal parts from the geometry of ancient Greece and the eye-popping images conjured by artist Eugen Jost.\"--Bill Cannon, Scientist's Bookshelf \"Graphic illustrations serve as both beautiful abstract art and helpful explanations in this overview of geometric theorems and patterns.\"--Science News \"[Beautiful Geometry] achieves its aim to demonstrate that there is visual beauty in Mathematics. I heartily recommend it.\"--LSE Review of Books \"The explanations are clear, and cover the background to the paintings in a manner that will be appreciated by readers whatever their level of mathematical knowledge... Anyone with any interest in visual mathematics will love this book.\"--Times Higher Education \"A good-looking, large-format book suitable for the coffee table, but with lots of mathematical ideas packed in among the colorful illustrations... [A] handsome book for browsing and for some deep thought, and would be a superb gift for anyone (especially a young person) who has interest in mathematics.\"--Rob Hardy, Columbus Dispatch \"It is a handsome book for browsing and for some deep thought, and would be a superb gift for anyone (especially a young person) who has interest in mathematics.\"--Rob Hardy, Dispatch \"The book by Maor and Jost should be given to everyone--young or old--embarking on the study of mathematics or anyone teaching mathematics. The book will act as a source of inspiration and as a reminder of why it is that mathematics has fascinated the human race for millennia.\"--Henrik Jeldtoft Jensen, LMS Newsletter \"The content is accessible to anyone with even a high school course in geometry. The writing is very clear.\"--Choice \"Clear and lively... The mathematics in this book is first-rate, but the real surprise is how well the art reflects and illuminates the topic at hand... All of it is lovely to look at... [Beautiful Geometry] rises to the level of a coffee-table art book, only with a lot more depth.\"--Mathematical Reviews \"[E]erily captivating book... Maor's style of writing is conversational, and the writing is engaging.\"--Annalisa Crannell, Journal of Mathematics and the Arts \"At a very reasonable price, this is a book which would grace the coffee-table of any mathematics department, and many of the ideas in it will stimulate valuable discussions in the classroom.\"--Gerry Leversha, Mathematical Gazette \"It presents as a coffee-table book for mathematicians and would be a good addition to a classroom library, available for students of all ages to explore.\"--Susan Mielechowsky, Mathematics Teaching in the Middle School \"Visually stunning... [Beautiful Geometry] raises fundamental questions, answered thousands of years later and evidencing the progress made... This is an engaging book of broad appeal and a colourful approach to the history of geometry.\"--Mathematics Today\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003ePrefaces ix 1.Thales of Miletus 1 2.Triangles of Equal Area 3 3.Quadrilaterals 6 4.Perfect Numbers and Triangular Numbers 9 5.The Pythagorean Theorem I","brand":"Princeton University Press","offers":[{"title":"Default Title","offer_id":48865537261911,"sku":"9780691175881","price":22.5,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9780691175881.jpg?v=1722274447"},{"product_id":"how-to-fall-slower-than-gravity-9780691176918","title":"How to Fall Slower Than Gravity","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003e\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTrade Review\u003c\/b\u003e\u003cbr\u003e\"This book is without a doubt the most enjoyable, stimulating book of mathematical physics (and occasionally more pure branches of maths) puzzles that I have ever read. It’s essentially a series of cleverly, and occasionally fiendishly put-together mathematics and physics challenge questions, each of which gets you thinking in a new and fascinating way.\"\u003cb\u003e---Jonathan Shock, \u003ci\u003eMathemafrica\u003c\/i\u003e\u003c\/b\u003e\u003cbr\u003e\"Reading Nahin is like reading through a select library of ancient Babylonian mathematical clay tablets. Surprises abound. . . . Nahin weaves much colorful history into his narrative.\"\u003cb\u003e---Andrew Simoson, \u003ci\u003eMathematical Intelligencer\u003c\/i\u003e\u003c\/b\u003e\u003cbr\u003e\"Engaging. . . . The book contains a wealth of original problems. . . . An enjoyable read.\"\u003cb\u003e---Antonín Slavík, \u003ci\u003eZentralblatt MATH\u003c\/i\u003e\u003c\/b\u003e\u003cbr\u003e\"This reviewer found himself being drawn to a variety of unfamiliar settings with much interest and even fascination.\" * Choice *\u003cbr\u003e\"I certainly enjoyed [the book]!\"\u003cb\u003e---Alan Stevens, \u003ci\u003eMathematics Today\u003c\/i\u003e\u003c\/b\u003e\u003cbr\u003e\"The potential audience for this book should be fairly large and go from highly talented high school students up through professionals in any STEM field.\"\u003cb\u003e---Geoffrey Dietz, \u003ci\u003eMAA Reviews\u003c\/i\u003e\u003c\/b\u003e","brand":"Princeton University Press","offers":[{"title":"Default Title","offer_id":48865537950039,"sku":"9780691176918","price":19.8,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9780691176918.jpg?v=1722274452"},{"product_id":"intermittent-convex-integration-for-the-3d-euler-equations-9780691249544","title":"Intermittent Convex Integration for the 3D Euler","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003e","brand":"Princeton University Press","offers":[{"title":"Default Title","offer_id":48865555480919,"sku":"9780691249544","price":52.7,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9780691249544.jpg?v=1722274540"},{"product_id":"the-hidden-geometry-of-flowers-9780863158063","title":"The Hidden Geometry of Flowers","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003eA beautiful and original book in which renowned thinker and geometrist Keith Critchlow focuses on flowers as examples of symmetry and geometry. Fully illustrated with hand-drawn geometric patterns.\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTrade Review\u003c\/b\u003e\u003cbr\u003e\u003cp\u003e'I've been looking at plants all my life and it's one of my great pleasures, Keith Critchlow's book adds new dimensions to this enjoyment and shows how number and geometry are made manifest in the forms that we see in every garden, in wild flowers and in the cut flowers that decorate our rooms … The plentiful illustrations help make this a book of inspiration and insight.'\u003cbr\u003e-- Dr Rupert Sheldrake\u003cbr\u003e\u003cbr\u003e'This is less a book for what we call \"reading\" than a book to be lived with as a delightful and instructive companion for a long time. It is a fascinating book, full of things useful and pleasing to know. And I admire the honest circularity of its plot that begins in mystery, passes through much knowledge, and returns again (in fact again and again) to mystery.'\u003cbr\u003e-- Wendell Berry\u003cbr\u003e\u003cbr\u003e'I have been waiting thirty-five years for this book.'\u003cbr\u003e-- Julian Barnard, author of Bach Flower Remedies: Form and Function\u003cbr\u003e\u003cbr\u003e'Like many people, I've been eagerly awaiting the publication of this book, and I have to say that it has been a real delight finally to read its inspirational thoughts and also to contemplate the large number of beautiful images and geometrical diagrams that is contains …  The Hidden Geometry of Flowers is a wonderful gift to the growing number of people who, dissatisfied with the impoverished and disenchanted worldview of materialistic science, are seeking to relate to the spiritual in nature once again. It is also a major contribution to the holistic science of the plant world, complementing studies by Goethean and anthroposophically inspired researchers into the formative forces at work in the plant kingdom … \u003cbr\u003eAnyone who gives proper attention to [this book] will feel that they are indeed brought closer to the mysterious form-creating life-processes that emanate from the world of spirit, and for this reason it is an enormously valuable contribution to all who are endeavouring to work towards a more holistic and spiritual awareness of the plant world.'\u003cbr\u003e-- Jeremy Naydler, New View\u003cbr\u003e\u003cbr\u003e'Keith Critchlow has created a masterpiece, which speaks not only through his inspired and informative text, but also through 560 color [sic] illustrations combining his superb flower photography with hand-drawn geometric patterns. The result is a celebration of the geometric lawfulness of flower forms that embody universal spiritual archetypes … The Hidden Geometry of Flowers is absolutely a must-read book for anyone who wants to be inspired by and appreciate the cosmic forces and archetypes that bestow the qualities we so cherish in each flower, and in their extraordinary healing qualities as flower essences.'\u003cbr\u003e-- Warren Kenton, Flower Essence Society\u003cbr\u003e\u003cbr\u003e'This book is a definitive work on the geometry of the relationship between Nature and the Cosmos. Its text and extraordinary set of photographs and diagrams indicate that there is a Divine Plan that governs the physical dimension as well as the hidden universes beyond. Professor Critchlow's masterpiece is the product of a lifelong labour of love and observation, illustrated with many of his personal drawings … As well as being informative and eye-opening, reading this book is refreshing, like a visit to paradise. \u003cbr\u003e--- Z'ev ben Simn Halevi, Caduceus\u003cbr\u003e\u003cbr\u003e'In the quest to reconnect with the natural world, we need go no further than appreciating flowers for the beauty and hidden geometry that they encompass. In his elegantly presented large-format book, Prod. Keith Critchlow includes over 500 breathtaking colour photographs, illustrations and hand drawings to go with his engaging text … Beauty is the language of flowers, and Critchlow helps entice us into their unfolding, spiralling domains to discover a higher realm of contemplation. Beauty really is truth, as this magnificent work shows.'\u003cbr\u003e-- Nexus\u003cbr\u003e\u003cbr\u003e'This remarkable and beautiful book is the culmination of years of research into the nature and geometry of flowers, drawing on the author's extensive understanding of Platonic philosophy as a means of expressing and understanding the Good, the Beautiful and the True … Reading the book is a form of living education which means that you will never respond to (I did not say look at) flowers in quite the same way again. This is highlighted by the Prince of Wales in his foreword, when he talks about the perception of beauty as a resonance with the patterns which we ourselves are made of. The result is a feeling of harmony, the subject of the Prince's own book.'\u003cbr\u003e-- David Lorimer, Network Review, Winter 2011\u003cbr\u003e\u003cbr\u003e'Critchlow takes four different perspectives to explore how flowers connect us to deeper truths: material, social, cultural and inspirational.\u003cbr\u003eHis thesis is illustrated with striking photos of plants, together with drawings, diagrams and quotes from Eastern and Western writers,\u003cbr\u003eclassical philosophers and religious teachers … \u003cbr\u003eThis book reads like the unfurling of a lifetime’s observation, and afterwards you look at the whole world differently, not just the garden.'\u003cbr\u003e-- Garden Design Journal\u003cbr\u003e\u003cbr\u003e'I eagerly awaited the publication of this book, and I have to say that it was a real delight finally to read its inspirational thoughts and also to contemplate the large number of beautiful images and geometrical diagrams it contains … [The book's] analyses open one's eyes to the extraordinary ability of flowers to harness and express geometrical forms and proportions. They open one's eyes, that is to say, to an underlying order and harmony that are intrinsic to the natural world … through contemplating the geometircal analyses in this book, the reader is directed in wonderment towards this vast domain of ordered and ordering forms … The Hidden Geometry of Flowers is a wonderful gift to the gorwing number of people who, dissatisfied with the impoverished and disenchanted world-view of materialistic science, are seeking to relate to the spiritual in nature once again. It is also a major contribution to the holisitic science of the plant world … [it] is an enormously valuable contribution to all who are endeavouring to work towards a more holistic and spiritual awareness of the plant world.'\u003cbr\u003e-- Temenos Academy Review\u003cbr\u003e\u003cbr\u003e'In his summary he contends that “flowers have been so instrumental forming human ideas of paradise.” His notions are supported by a broad range of illustrations that celebrate the great beauty of flowers in a variety of forms.'\u003cbr\u003e-- Chicago Botanic Garden website\u003cbr\u003e\u003cbr\u003e'At over 400 pages, this is a long work, but it is full of superb illustrations, providing instant appeal… it is also a book of substance as far as the writing is concerned… I consider this to be a book which will \"grow\" on the reader -- to extend the flower analogy -- and it is full of memorable quotes, which the mathematically challenged reader (like me), or the newcomer to the perennial philosophy, can hold on to while waiting for full understanding to emerge.\u003cbr\u003e-- Quest: Journal of the Theosophical Society in America\u003c\/p\u003e","brand":"Floris Books","offers":[{"title":"Default Title","offer_id":48866107556183,"sku":"9780863158063","price":31.5,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9780863158063.jpg?v=1722277073"},{"product_id":"geometry-1001-practice-problems-for-dummies-free-online-practice-9781119883685","title":"Geometry 1001 Practice Problems For Dummies  Free","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003e\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003e\u003cp\u003eIntroduction 1\u003c\/p\u003e \u003cp\u003e\u003cb\u003ePart 1: The Questions 3\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003eChapter 1: Diving into Geometry 5\u003c\/p\u003e \u003cp\u003eChapter 2: Constructions 13\u003c\/p\u003e \u003cp\u003eChapter 3: Geometric Proofs with Triangles 17\u003c\/p\u003e \u003cp\u003eChapter 4: Classifying Triangles 31\u003c\/p\u003e \u003cp\u003eChapter 5: Investigating the Centers of a Triangle 41\u003c\/p\u003e \u003cp\u003eChapter 6: Similar Triangles 49\u003c\/p\u003e \u003cp\u003eChapter 7: The Right Triangle 59\u003c\/p\u003e \u003cp\u003eChapter 8: Triangle Inequalities 67\u003c\/p\u003e \u003cp\u003eChapter 9: Polygons 75\u003c\/p\u003e \u003cp\u003eChapter 10: Properties of Parallel Lines 81\u003c\/p\u003e \u003cp\u003eChapter 11: Properties of Quadrilaterals 89\u003c\/p\u003e \u003cp\u003eChapter 12: Coordinate Geometry 97\u003c\/p\u003e \u003cp\u003eChapter 13: Transformational Geometry 105\u003c\/p\u003e \u003cp\u003eChapter 14: Exploring Circles 121\u003c\/p\u003e \u003cp\u003eChapter 15: Circle Theorems 127\u003c\/p\u003e \u003cp\u003eChapter 16: Three-Dimensional Geometry 141\u003c\/p\u003e \u003cp\u003eChapter 17: Locus Problems 149\u003c\/p\u003e \u003cp\u003e\u003cb\u003ePart 2: The Answers 155\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003eChapter 18: Answers and Explanations 157\u003c\/p\u003e \u003cp\u003eIndex 439\u003c\/p\u003e","brand":"John Wiley \u0026 Sons Inc","offers":[{"title":"Default Title","offer_id":48866422718807,"sku":"9781119883685","price":18.69,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9781119883685.jpg?v=1722278573"},{"product_id":"must-know-high-school-geometry-second-edition-9781264286140","title":"Must Know High School Geometry Second Edition","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003e\u003cp\u003e\u003cb\u003eA unique and effective way to learn Geometryâupdated with the latest instruction and review\u003c\/b\u003e\u003c\/p\u003e\u003cp\u003e\u003ci\u003eMust Know High School Geometry\u003c\/i\u003e provides a fresh approach to learning. As part of our Must Know series, this new edition makes sure what you really need to know is clear up-front. Rather than starting with goals to be met, chapters begin by telling you the most important concepts about the topic at handâand then show you exactly how these concepts help you accomplish your goals.\u003c\/p\u003e\u003cp\u003eWritten by expert geometry educators, \u003ci\u003eMust Know High School Geometry, Second Edition\u003c\/i\u003e provides updated lesson content and useful examples to help clarify each topic. Every chapter closes with reinforcing exercises to get you the practice you need to gain confidence. New features to this edition focus on extra support and helping you avoid common mistakes. In the end, you get everything you need to build your geometry skills quickly and painlessly.\u003c\/p\u003e\u003cp\u003eFeatures:\u003c\/p\u003e\u003cul\u003e\u003cli\u003eMore than 250\u003c\/li\u003e\u003c\/ul\u003e","brand":"McGraw-Hill Education","offers":[{"title":"Default Title","offer_id":48866499166551,"sku":"9781264286140","price":14.98,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9781264286140.jpg?v=1722278951"},{"product_id":"mathematics-and-its-history-9781461426325","title":"Mathematics and Its History","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003eThe Theorem of Pythagoras.- Greek Geometry.- Greek Number Theory.- Infinity in Greek Mathematics.- Number Theory in Asia.- Polynomial Equations.- Analytic Geometry.- Projective Geometry.- Calculus.- Infinite Series.- The Number Theory Revival.- Elliptic Functions.- Mechanics.- Complex Numbers in Algebra.- Complex Numbers and Curves.- Complex Numbers and Functions.- Differential Geometry.- Non-Euclidean Geometry.- Group Theory.- Hypercomplex Numbers.- Algebraic Number Theory.- Topology.- Simple Groups.- Sets, Logic, and Computation.- Combinatorics.\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTrade Review\u003c\/b\u003e\u003cbr\u003e\u003cp\u003e“Mathematics and Its History is an original, engaging and effective book, which I think would be enjoyed by students, lay readers with the right background, or indeed mathematicians themselves.” (Danny Yee, Danny Yee's Book Reviews, dannyreviews.com, March, 2019)\u003c\/p\u003e\u003cp\u003eFrom the reviews of the third edition:\u003cbr\u003e\u003c\/p\u003e\u003cp\u003e\"The author’s goal for \u003ci\u003eMathematics and its History\u003c\/i\u003e is to provide a “bird’s-eye view of undergraduate mathematics.” (p. \u003ci\u003evii\u003c\/i\u003e) In that regard it succeeds admirably. ... \u003ci\u003eMathematics and its History\u003c\/i\u003e is a joy to read. The writing is clear, concise and inviting. The style is very different from a traditional text. ... The author has done a wonderful job of tying together the dominant themes of undergraduate mathematics. ... While Stillwell does a wonderful job of tying together seemingly unrelated areas of mathematics, it is possible to read each chapter independently. I would recommend this fine book for anyone who has an interest in the history of mathematics. For those who teach mathematics, it provides lots of information which could easily be used to enrich an opening lecture in most any undergraduate course. It would be an ideal gift for a department’s outstanding major or for the math club president. Pick it up at your peril — it is hard to put down!\"\u003c\/p\u003e\u003cp\u003e(Richard Wilders, MAA Reviews)\u003c\/p\u003e\u003cp\u003e“I appreciate and recommend Stillwell’s presentation of mathematics and history written in a lively style. The author’s concept (history mostly as the means of approaching mathematics) remains a matter of interest for both the mathematician and the historian … .” (Rüdiger Thiele, Zentralblatt MATH, Vol. 1207, 2011)\u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e\u003cp\u003eFrom the reviews of the second edition:\u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e\u003cp\u003e\"This book covers many interesting topics not usually covered in a present day undergraduate course, as well as certain basic topics such as the development of the calculus and the solution of polynomial equations. The fact that the topics are introduced in their historical contexts will enable students to better appreciate and understand the mathematical ideas involved...If one constructs a list of topics central to a history course, then they would closely resemble those chosen here.\"\u003c\/p\u003e\u003cp\u003e(David Parrott, Australian Mathematical Society)\u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e\u003cp\u003e\"The book...is presented in a lively style without unnecessary detail. It is very stimulating and will be appreciated not only by students. Much attention is paid to problems and to the development of mathematics before the end of the nineteenth century... This book brings to the non-specialist interested in mathematics many interesting results. It can be recommended for seminars and will be enjoyed by the broad mathematical community.\" \u003c\/p\u003e\u003cp\u003e(European Mathematical Society)\u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e\u003cp\u003e\"Since Stillwell treats many topics, most mathematicians will learn a lot from this book as well as they will find pleasant and rather clear expositions of custom materials. The book is accessible to students that have already experienced calculus, algebra and geometry and will give them a good account of how the different branches of mathematics interact.\"\u003c\/p\u003e\u003cp\u003e(Denis Bonheure, Bulletin of the Belgian Society)\u003c\/p\u003e\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003ePreface to the Third Edition.- Preface to the Second Edition.- Preface to the First Edition.- The Theorem of Pythagoras.- Greek Geometry.- Greek Number Theory.- Infinity in Greek Mathematics.- Number Theory in Asia.- Polynomial Equations.- Analytic Geometry.- Projective Geometry.- Calculus.- Infinite Series.- The Number Theory Revival.- Elliptic Functions.- Mechanics.- Complex Numbers in Algebra.- Complex Numbers and Curves.- Complex Numbers and Functions.- Differential Geometry.- Non-Euclidean Geometry.- Group Theory.- Hypercomplex Numbers.- Algebraic Number Theory.- Topology.- Simple Groups.- Sets, Logic, and Computation.- Combinatorics.- Bibliography.- Index.-","brand":"Springer-Verlag New York Inc.","offers":[{"title":"Default Title","offer_id":48867159343447,"sku":"9781461426325","price":47.49,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9781461426325.jpg?v=1722281959"},{"product_id":"the-golden-ratio-the-divine-beauty-of-mathematics-9781631064869","title":"The Golden Ratio: The Divine Beauty of","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003e\u003cb\u003e\u003ci\u003eThe Golden Ratio \u003c\/i\u003eexamines the presence of this divine number in art and architecture throughout history, as well as its ubiquity among plants, animals, and even the cosmos. This gorgeous book—with layflat dimensions that closely approximate the golden ratio—features clear, enlightening, and entertaining commentary alongside stunning full-color illustrations by Venezuelan artist and architect Rafael Araujo.\u003c\/b\u003e\u003cbr\u003e\u003cbr\u003e From the pyramids of Giza, to quasicrystals, to the proportions of the human face, the golden ratio has an \u003cb\u003einfinite capacity to generate shapes with exquisite properties\u003c\/b\u003e. This book invites you to take a new look at this timeless topic, with a compilation of \u003cb\u003eresearch and information worthy of a text book\u003c\/b\u003e, accompanied by \u003cb\u003eover 200 beautiful color illustrations \u003c\/b\u003ethat transform this into the \u003cb\u003eultimate coffee table book\u003c\/b\u003e.\u003cbr\u003e  \u003cbr\u003e Author Gary Meisner shares the results of his twenty-year investigation and collaboration with thousands of people across the globe in dozens of professions and walks of life. 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Weaving history and legend, this fascinating book reconstructs the discoveries of mathematics's most famous figures. Through illustrations and diagrams, readers are able to follow the reasoning that lead to an ingenious proof of the Pythagorean theorem, an appreciation of the significance of the Golden Mean in art and architecture, or the construction of the five regular solids.\u003cbr\u003e\u003cbr\u003eThis insightful and engaging book makes geometry accessible to everyone. Readers will be fascinated with how the knowledge and wisdom of so many cultures helped shape our civilisation today.\u003cbr\u003e\u003cbr\u003eString, Straight-edge and Shadow is also a useful and inspiring book for those teaching geometry in Steiner-Waldorf classrooms.\u003c\/p\u003e\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTrade Review\u003c\/b\u003e\u003cbr\u003e\u003cp\u003e'Shows us what we don't realise we know, what civilisations before us learnt and passed down to us. It brings an awe and magic back to our learning… Those that advanced knowledge of geometry had a grounded and practical understanding of where it came from. This book helps us to do that.'\u003cbr\u003e-- The Smart Happy Project\u003cbr\u003e\u003cbr\u003e'This was an enjoyable read for the everyday person of curious mind.' - Amazon.com\u003cbr\u003e\u003cbr\u003e'Fantastic, accurate, readable, teachable and Classical.' \u003cbr\u003e-- Amazon.com\u003cbr\u003e\u003cbr\u003e'The well constructed narrative brings these people and their excitement over these discoveries to life. I learned about the patterns in math from a new perspective and it made me wonder why math is always taught in the abstract format. These people understood it in a completely different way and I would think that some people would learn it better if it were explained this way.' \u003cbr\u003e-- Goodreads\u003cbr\u003e\u003cbr\u003e'This gem is about ancient Geometry that has definite application today. Knowing the stories behind many great discoveries make them so much more interesting and really helps math to come alive.' \u003cbr\u003e-- Goodreads\u003cbr\u003e\u003cbr\u003e'Whether you are learning geometry for the first time, teaching it to students at home or in the classroom, or are parents helping your children through their first geometry course, this is a must-read for everyone! You will be fascinated with the graphic illustrations and written depiction of how the knowledge and wisdom of so many cultures helped shape our civilization today.' \u003cbr\u003e-- Waldorf Books\u003cbr\u003e\u003cbr\u003e‘String, Straight-edge and Shadow (is) an interesting and informative book and its numerous diagrams and illustrations are part of its appeal. Anyone interested in learning how discoveries made thousands of years ago still underpin much of our modern day science and mathematics will find this a useful and engaging read.’\u003cbr\u003e-- New View\u003c\/p\u003e","brand":"Floris Books","offers":[{"title":"Default Title","offer_id":48868256219479,"sku":"9781782504986","price":9.49,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9781782504986.jpg?v=1722287152"},{"product_id":"the-simpler-polyhedra-being-the-third-part-of-several-comprising-the-complete-polyhedra-9780951670149","title":"The Simpler Polyhedra Being the Third Part of","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003ePolytheora; 3-dimensional regular solids assembled from regular polygons.","brand":"Nattygrafix","offers":[{"title":"Default Title","offer_id":48885072527703,"sku":"9780951670149","price":7.82,"currency_code":"GBP","in_stock":true}]},{"product_id":"amenability-of-discrete-groups-by-examples-9781470470326","title":"Amenability of Discrete Groups by Examples","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003ePuts together main approaches to study amenability. 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These geometrical methods are currently being used for modelling complex systems in theoretical physics, chemistry and biology, non-linear dynamics and non-linear control, as well as mathematically -- enriched human sciences (medicine, psychology, sociology and economics). This book contains an easy-to-follow essence of geometrical and topological methods for modelling complex dynamical systems, extracted from our five graduate -- level monographs (including over 2000 cited references in total): 1. Geometrical Dynamics of Complex Systems: A Unified Modelling Approach to Physics, Control, Biomechanics, Neurodynamics and Psycho- Socio-Economical Dynamics. Springer, 2006; 2. Complex Dynamics: Advanced System Dynamics in Complex Variables, Springer, 2007; 3. Applied Differential Geometry: A Modern Introduction. World Scientific,2007; 4. Complex Nonlinearity: Chaos, Phase Transitions, Topology Change and Path Integrals, Springer, 2008; and 5. Quantum Leap: From Dirac and Feynman, Across the Universe, to Human Body and Mind. World Scientific, Singapore, 2008. 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