{"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":42.99,"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":9.49,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9780199651986.jpg?v=1791378743"},{"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":"fundamental-concepts-of-geometry-dover-books-on-mathematics-9780486634159","title":"Fundamental Concepts of Geometry Dover Books on","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003eDemonstrates relationships between different types of geometry. Provides excellent overview of the foundations and historical evolution of geometrical concepts. Exercises (no solutions). Includes 98 illustrations.","brand":"Dover Publications Inc.","offers":[{"title":"Default Title","offer_id":48733800268119,"sku":"9780486634159","price":999.99,"currency_code":"GBP","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9780486634159.jpg?v=1720001752"},{"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}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9780956639417.jpg?v=1791468783"},{"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. 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It includes many topics commonly found in sampler courses, like Platonic solids, Euler’s formula, irrational numbers, countable sets, permutations, and a proof of the Pythagorean Theorem.  All of these topics serve a single compelling goal: understanding the mathematical patterns underlying the symmetry that we observe in the physical world around us.\u003c\/p\u003e\u003cp\u003eThe exposition is engaging, precise and rigorous.  The theorems are visually motivated with intuitive proofs appropriate for the intended audience.  Students from all majors will enjoy the many beautiful topics herein, and will come to better appreciate the powerful cumulative nature of mathematics as these topics are woven together into a single fascinating story about the ways in which objects can be symmetric.\u003c\/p\u003e\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTrade Review\u003c\/b\u003e\u003cbr\u003e“This book has much to recommend it. The material is presented clearly and enthusiastically … . there are a lot of well-chosen exercises, ranging from very easy to more challenging. … this is a well-written book, covering interesting material, that can serve a number of possible audiences. … many math majors will never have seen many of the topics discussed in this book … technical details by the instructor, serve as a useful text for a capstone course for majors.” (Mark Hunacek MAA Reviews, November 14, 2021)\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003ePreface.- 1. Introduction to Symmetry.- 2. The Algebra of Symmetry.- 3. The Classification Theorems.- 4. Isomorphic Groups.- 5. Subgroups \u0026amp; Product Groups.- 6. Permutation Groups.- 7. Symmetries of 3D Objects.- 8. The Five Platonic Solids.- 9. Symmetry and Optimization.- 10. What is a Number?.- 11. Excursions in Numbers.- 12. Rigid Motions as Functions.- 13. Rigid Motions as Matrices.- Image Credits.- Index.","brand":"Springer Nature Switzerland AG","offers":[{"title":"Default Title","offer_id":48743038779735,"sku":"9783030516680","price":42.74,"currency_code":"GBP","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9783030516680.jpg?v=1791480495"},{"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. 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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":999.99,"currency_code":"GBP","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9783030615437.jpg?v=1791480507"},{"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. 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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":"university-of-toronto-mathematics-competition-2001-2015-9783319281049","title":"University of Toronto Mathematics Competition","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003eThis text records the problems given for the first 15 annual undergraduate mathematics competitions, held in March each year since 2001 at the University of Toronto. Problems cover areas of single-variable differential and integral calculus, linear algebra, advanced algebra, analytic geometry, combinatorics, basic group theory, and number theory. The problems of the competitions are given in chronological order as presented to the students. The solutions appear in subsequent chapters according to subject matter. Appendices recall some background material and list the names of students who did well.  \u003cbr\u003e\u003cp\u003eThe University of Toronto Undergraduate Competition was founded to provide additional competition experience for undergraduates preparing for the Putnam competition, and is particularly useful for the freshman or  sophomore undergraduate. Lecturers, instructors, and coaches for mathematics competitions will find this presentation useful. Many of the problems are of intermediate difficulty and relate to the first two years of the undergraduate curriculum. The problems presented may be particularly useful for regular class  assignments. Moreover, this text contains problems that lie outside the regular syllabus and may interest students who are eager to learn beyond the classroom.\u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTrade Review\u003c\/b\u003e\u003cbr\u003e\u003cp\u003e“The book under review is mainly intended for undergraduate and graduate students in mathematics, as well as for researchers engaged in the interplay among applied analysis, mathematical physics, and numerical analysis.” (Teodora-Liliana Rădulescu, zbMATH 1357.97001, 2017)\u003c\/p\u003e\u003cp\u003e“This book is the compilation of the problems from those competitions from 2001 to 2015, along with their solutions, an appendix of notation and key results, and an appendix listing the top ranking students. … This books seems most useful as a supplementary resource for a problem solving or Putnam prep group, class, or math club.” (Megan Patnott, MAA Reviews, maa.org, August, 2016)\u003c\/p\u003e\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003ePreface.- 1. Problems of the Contests.- 2. Algebra.- 3. Inequalities.- 4. Sequences and Series.- 5. Calculus and its Applications.- 6. Other Topics in Analysis.- 7. Linear Algebra.- 8. Geometry.- 9. Group Theory.- 10. Combinatorics and Finite Mathematics.- 11. Number Theory.- Appendix A: Definitions, Conventions, Notation, and Basics.- Appendix B: Top-Ranking Students.- Index. ","brand":"Springer International Publishing AG","offers":[{"title":"Default Title","offer_id":48743093764439,"sku":"9783319281049","price":999.99,"currency_code":"GBP","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9783319281049.jpg?v=1791481714"},{"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":52.24,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9783319589862.jpg?v=1791379135"},{"product_id":"convex-functions-and-their-applications-a-contemporary-approach-9783319783369","title":"Convex Functions and Their Applications: A","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003e\u003cp\u003eThorough introduction to an important area of mathematics\u003c\/p\u003e \u003cp\u003eContains recent results\u003c\/p\u003e \u003cp\u003eIncludes many exercises\u003c\/p\u003e\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003eConvex Functions on Intervals.- Convex Sets in Real Linear Spaces.- Convex Functions on a Normed Linear Space.- Convexity and Majorization.- Convexity in Spaces of Matrices.- Duality and Convex Optimization.- Special Topics in Majorization Theory.- A. Generalized Convexity on Intervals.- B. Background on Convex Sets.- C. Elementary Symmetric Functions.- D. Second Order Differentiability of Convex Functions.- E. The Variational Approach of PDE.","brand":"Springer International Publishing AG","offers":[{"title":"Default Title","offer_id":48743106478423,"sku":"9783319783369","price":61.74,"currency_code":"GBP","in_stock":false}]},{"product_id":"geometric-aspects-of-general-topology-9784431546993","title":"Geometric Aspects of General Topology","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003e\u003cp\u003eThis book is designed for graduate students to acquire knowledge of dimension theory, ANR theory (theory of retracts), and related topics. These two theories are connected with various fields in geometric topology and in general topology as well. Hence, for students who wish to research subjects in general and geometric topology, understanding these theories will be valuable. Many proofs are illustrated by figures or diagrams, making it easier to understand the ideas of those proofs. Although exercises as such are not included, some results are given with only a sketch of their proofs. Completing the proofs in detail provides good exercise and training for graduate students and will be useful in graduate classes or seminars.\u003c\/p\u003e\u003cp\u003eResearchers should also find this book very helpful, because it contains many subjects that are not presented in usual textbooks, e.g., dim \u003ci\u003eX\u003c\/i\u003e × \u003cb\u003eI \u003c\/b\u003e= dim \u003ci\u003eX\u003c\/i\u003e + 1 for a metrizable space \u003ci\u003eX\u003c\/i\u003e; the difference between the small and large inductive dimensions; a hereditarily infinite-dimensional space; the ANR-ness of locally contractible countable-dimensional metrizable spaces; an infinite-dimensional space with finite cohomological dimension; a dimension raising cell-like map; and a non-AR metric linear space. The final chapter enables students to understand how deeply related the two theories are.\u003c\/p\u003e\u003cp\u003eSimplicial complexes are very useful in topology and are indispensable for studying the theories of both dimension and ANRs. There are many textbooks from which some knowledge of these subjects can be obtained, but no textbook discusses non-locally finite simplicial complexes in detail. So, when we encounter them, we have to refer to the original papers. For instance, J.H.C. Whitehead's theorem on small subdivisions is very important, but its proof cannot be found in any textbook. The homotopy type of simplicial complexes is discussed in textbooks on algebraic topology using CW complexes, but geometrical arguments using simplicial complexes are rather easy.\u003c\/p\u003e\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTrade Review\u003c\/b\u003e\u003cbr\u003e\u003cp\u003eFrom the book reviews:\u003c\/p\u003e\u003cp\u003e“This excellent book is designed for different graduate courses in geometric topology, as well as in general topology. At the same time it contains complete proofs of results interesting also for the specialist in geometric topology … .” (Vesko Valov, Mathematical Reviews, September, 2014)\u003c\/p\u003e","brand":"Springer Verlag, Japan","offers":[{"title":"Default Title","offer_id":48743178076503,"sku":"9784431546993","price":98.99,"currency_code":"GBP","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9784431546993.jpg?v=1791482563"},{"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":43.2,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9789812700629.jpg?v=1720064971"},{"product_id":"noncommutative-geometry-9780121858605","title":"Noncommutative Geometry","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003eReveals what noncommutative geometry is, what it can do, or how it can be used in various areas of mathematics, quantization, and elementary particles and fields. This work presents an approach to measure theory, geometry, and mathematical physics. It includes features such as: space of Penrose tilings; space of leaves of a foliation; and more.\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTrade Review\u003c\/b\u003e\u003cbr\u003e\"...A milestone for mathematics. Connes has created a theory that embraces most aspects of 'classical' mathematics and sets us out on a long and exciting voyage into the world of noncommutative mathematics. \"The book contains a colourful account of the meaning of the term 'non-commutative space,' based on an extraordinary wealth of examples, including the set of all Penrose tilings, the space of leaves of a foliation, the quantum Hall effect and an intriguing non-commutative model of four-dimensional space-time that reproduces the standard model of elementary particles from quite general considerations... \"The reader of the book should not expect proofs of theorems. This is much more a tapestry of beautiful mathematics and physics which contains material to intrigue readers with any mathematical background. At the same time there is a comprehensive bibliography that will lead the reader straight to the sources and proofs of the results.\" --VAUGHAN F.R. JONES, University of California, Berkeley   \"This beautiful, ambitious, and erudite book explains, through many examples, the phenomena, tools, and some of the applications of noncommutative geometry...The book is written in a way that anyone can get some of the feeling and ideas of the subject...Connes has accomplished the wonderful feat of explaining in a simple and coherent way 20 years (or so) of his impressive work. I recommend this book most highly.\" --Jonathan Block, THE MATHEMATICAL INTELLIGENCER, Vol. 20, No. 1, 1998\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003eNoncommutative Spaces and Measure Theory: Heisenberg and the Noncommutative Algebra of Physical Quantities Associated to a Microscopic System. Statistical State of a Macroscopic System and Quantum Statistical Mechanics. Modular Theory and the Classification of Factors. Geometric Examples of von Neumann Algebras: Measure Theory of Noncommutative Spaces. The Index Theorem for Measured Foliations.  Topology and K-Theory: C*-Algebras and their K-Theory. Elementary Examples of Quotient Spaces. The Space X of Penrose Tilings. Duals of Discrete Groups and the Novikov Conjecture. The Tangent Groupoid of a Manifold. Wrong-way Functionality in K-Theory as a Deformation. The Orbit Space of a GroupAction. The Leaf Space of a Foliation. The Longitudinal Index Theorem for Foliations. The Analytic Assembly Map and Lie Groups. Cyclic Cohomology and Differential Geometry: Cyclic Cohomology. Examples. Pairing of Cyclic Cohomology with K-Theory. The Higher Index Theorem for Covering Spaces. The Novikov Conjecture for Hyperbolic Groups. Factors of Type III, Cyclic Cohomology and the Godbillon-Vey Invariant. The Transverse Fundamental Class for Foliations and Geometric Corollaries. QuantizedCalculus: Quantized Differential Calculus and Cyclic Cohomology. The Dixmier Trace and the Hochschild Class of the Character. Quantized Calculus in One Variable and Fractal Sets. Conformal Manifolds. Fredholm Modules and Rank-One Discrete Groups. Elliptic Theory on the Noncommutative Torus (NOTE: See book for proper symbol. Math T with a 2 over () and the Quantum Hall Effect. Entire Cyclic Cohomology. The Chern Character of (-Summable Fredholm Modules. (-Summable K-Cycles, Discrete Groups, and Quantum Field Theory. Operator Algebras: The Papers of Murray and von Neumann. Representations of C*-Algebras. The Algebraic Framework for Noncommutative Integration and the Theory of Weights. The Factors of Powers, Araki and Woods,and of Krieger. The Radon-Nikodom Theorem and Factors of Type III(. Noncommutative Ergodic Theory. Amenable von Neumann Algebras. The Flow of Weights: mod(M). The Classification of Amenable Factors. Subfactors of Type II1 Factors. Hecke Algebras ,Type III Factors and Statistical Theory of Prime Numbers. The Metric Aspect of Noncommutative Geometry: Riemannian Manifolds and the Dirac Operator. Positivity in Hochschild Cohomology and the Inequalities for the Yang-Mills Action. Product of the Continuum by the Discrete and the Symmetry Breaking Mechanism. The Notion of Manifold in Noncommutative Geometry. The Standard U (1) x SU (2) x SU (3) Model. Bibliography. Notation and Conventions. Index.CONTENTS (Chapter Headings): Noncommutative Spaces and Measure Theory. Topology and K-Theory. Cyclic Cohomology and Differential Geometry. Quantized Calculus. Operator Algebras. The Metric Aspect of Noncommutative Geometry. Bibliography. Notation and Conventions. Index.","brand":"Elsevier Science Publishing Co Inc","offers":[{"title":"Default Title","offer_id":48864155337047,"sku":"9780121858605","price":50.34,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9780121858605.jpg?v=1722270648"},{"product_id":"finite-element-methods-for-maxwells-equations-9780198508885","title":"Finite Element Methods for Maxwells Equations","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003eSince the middle of the last century, computing power has increased sufficiently that the direct numerical approximation of Maxwell''s equations is now an increasingly important tool in science and engineering. Parallel to the increasing use of numerical methods in computational electromagnetism there has also been considerable progress in the mathematical understanding of the properties of Maxwell''s equations relevant to numerical analysis. The aim of this book is to provide an up to date and sound theoretical foundation for finite element methods in computational electromagnetism. The emphasis is on finite element methods for scattering problems that involve the solution of Maxwell''s equations on infinite domains. Suitable variational formulations are developed and justified mathematically. An error analysis of edge finite element methods that are particularly well suited to Maxwell''s equations is the main focus of the book. The methods are justified for Lipschitz polyhedral domai\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTrade Review\u003c\/b\u003e\u003cbr\u003e... well-written ... a valuable reference for specialists interested in the mathematical theory of Maxwell's equations relevant to numerical analysis. * Zentralblatt MATH *\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003eAPPENDIX","brand":"Oxford University Press","offers":[{"title":"Default Title","offer_id":48864215794007,"sku":"9780198508885","price":175.0,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9780198508885.jpg?v=1791454451"},{"product_id":"wondrous-one-sheet-origami-9780367208103","title":"Wondrous One Sheet Origami","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003e\u003cp\u003e\u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e\u003cp\u003e\u003cstrong\u003e\u003cem\u003eWondrous One Sheet Origami\u003c\/em\u003e\u003c\/strong\u003e is a how-to book full of beautiful origami designs covering a wide range of folding levels from simple to high intermediate, with more emphasis on the latter. The book is meant for audiences 12 years of age and above, and children folding at higher than age level. Most of the designs are flat and suitable for mounting on cards or framing as gifts.\u003cbr\u003e\u003c\/p\u003e\u003cp\u003e\u003cstrong\u003eFeatures\u003c\/strong\u003e\u003c\/p\u003e\u003cp\u003e Richly illustrated full-color book with clear, crisp diagrams following international standard, and an abundance of photographs of finished models\u003cbr\u003e Select designs hand-picked by the author based on social media responses\u003cbr\u003e Most of the designs incorporate color-change, a technique showing both sides of paper for enhanced beauty\u003c\/p\u003e\u003cp\u003e\u003cstrong\u003e\u003c\/strong\u003e \u003c\/p\u003e\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTrade Review\u003c\/b\u003e\u003cbr\u003e\u003cp\u003e\"Meenakshi Mukerji's work is both intricate and lovely. She's greatly respected in the origami world, one of the well-known world leaders in modular origami. Her books offer a nice exposition of the mathematical elements, but you're not being hit over the head with math lessons. You learn things without even realizing that you have.\" \u003c\/p\u003e\u003cp\u003e–Dr. Robert J. Lang\u003c\/p\u003e\u003cp\u003e\"Meenakshi Mukerji is one of today's masters of modular origami, designs comprised of multiple pieces of paper. She also brings her ingenuity and creativity to designs made from a single piece of paper. Among the most appealing aspects of her single sheet work is the way she subtly manipulates a purely geometric form to fold a flower, a leaf, a butterfly, or card suits.\" \u003c\/p\u003e\u003cp\u003e\u003cstrong\u003e–Peter Engel\u003c\/strong\u003e\u003c\/p\u003e\u003cp\u003e\"Meenakshi Mukerji's new book \u003cem\u003eWondrous One Sheet Origami\u003c\/em\u003e is not simply an origami instruction book. It is a celebration of the myriad wonders of the natural world and the infinite variety of their color and form. Mukerji recreates this rich world with her ingenious sense of design and shares it with readers using clear, accessible instructions. A valuable addition to any origami library!\"\u003c\/p\u003e\u003cp\u003e\u003cstrong\u003e–Meher McArthur\u003c\/strong\u003e\u003c\/p\u003e\u003cp\u003e\"The \u003ci\u003eWondrous One Sheet Origami\u003c\/i\u003e by Meenakshi Mukerji is exactly the kind of thing our members like to fold. The more advanced fractal designs at the end of the book found a lot of interest, and some of the flower folds were so inviting that many wanted to fold them right away\"\u003c\/p\u003e\u003cp\u003e\u003cstrong\u003e–\u003c\/strong\u003e\u003cstrong\u003eAnna Kastlunger, \u003c\/strong\u003e\u003cem\u003eOrigami Society of Austria\u003c\/em\u003e\u003c\/p\u003e\u003cp\u003e\"This is an updated and extended edition of a book that was first published in 2013. The 35 models range from simple designs to complex recursives, and there are a number of variations of the classics, [. . .] Many of the models were designed by Meenakshi Mukerji herself, but there are also contributions from Evan Zodl, Dasa Serova, Christiane Bettens, and Roman Diaz\/Endre Somos. [. . .] The second edition includes 39 additional pages and 15 new models, [ . . .] The diagrams are clear and generally easy to follow, and there's advice on experimentation so you can create variations of some of the flower designs. [. . .] The print quality is high, and there are full-colour photographs of many of the models. In conclusion, this book is definitely worth adding to your collection [. . .] This edition also available in ebook form for the more technologically minded.\"\u003c\/p\u003e\u003cp\u003e\u003cstrong\u003e–Stephen Hill, \u003c\/strong\u003e\u003cem\u003eBritish Origami Society\u003c\/em\u003e\u003c\/p\u003e\u003cp\u003e\"Profusely illustrated with clear step-by-step instructions, \u003cem\u003eWondrous One Sheet Origami\u003c\/em\u003e is thoroughly 'user friendly' in tone, commentary, organization and presentation. While especially and unreservedly recommended for school, community and academic library Origami instructional reference collections, it should be noted for the personal lists of students, professionals, and non-specialist general readers with an interest in the subject.\"\u003c\/p\u003e\u003cp\u003e\u003cstrong\u003e–\u003c\/strong\u003eThe Crafts Shelf, \u003cem\u003eMidwest Book Review\u003c\/em\u003e\u003c\/p\u003e\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003e\u003cp\u003e1. Orgami Basics. 2. Simple Designs. 3. Four-Sink Base Flowers. 4. Kusumita and Derivatives. 5. Leaves. 6. Octagonal Collapse Flowers. 7. Recursive Designs. 8. Decorative Boxes. \u003c\/p\u003e","brand":"Taylor \u0026 Francis Ltd","offers":[{"title":"Default Title","offer_id":48864492126551,"sku":"9780367208103","price":30.57,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9780367208103.jpg?v=1791456085"},{"product_id":"crocheting-adventures-with-hyperbolic-planes-9780367375072","title":"Crocheting Adventures with Hyperbolic Planes","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003e\u003cp\u003eWinner, Euler Book Prize, awarded by the Mathematical Association of America. With over 200 full color photographs, this non-traditional, tactile introduction to non-Euclidean geometries also covers early development of geometry and connections between geometry, art, nature, and sciences. For the crafter or would-be crafter, there are detailed instructions for how to crochet various geometric models and how to use them in explorations. New to the 2nd Edition; Daina Taimina discusses her own adventures with the hyperbolic planes as well as the experiences of some of her readers. Includes recent applications of hyperbolic geometry such as medicine, architecture, fashion \u0026amp; quantum computing.\u003c\/p\u003e\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTrade Review\u003c\/b\u003e\u003cbr\u003e\u003cp\u003e\"This beautifully and profusely illustrated second edition of \"Crocheting Adventures with Hyperbolic Planes\" is a unique and extraordinary instructional manual and guide that is unreservedly recommended for personal, professional, community, and academic library\"\u003c\/p\u003e\u003cp\u003e\u003cstrong\u003e—James A. Cox, Editor-in-Chief, \u003cem\u003eMidwest Book Review\u003c\/em\u003e\u003c\/strong\u003e\u003c\/p\u003e\u003cp\u003e\"This book shows just how fun deep mathematics can be and reveals the importance of thinking of mathematics with your hands, eyes and body — not just the brain. More importantly, it shows how good mathematics needs input from all sorts of people and cultures, in particular here the geometry essential to fibre arts.\"\u003c\/p\u003e\u003cp\u003e\u003cstrong\u003e—Professor Edmund Harris, University of Arkansas, co-author of \u003ci\u003ePatterns\/Visions of the Universe\u003c\/i\u003e with Alex Bellos\u003c\/strong\u003e\u003c\/p\u003e\u003cp\u003e\"This is a lovely introduction to hyperbolic geometry and how to represent it in a tactile, playful way. The book takes you through a wonderful history of both the maths and the art, exploring how we have perceived the world around us over the centuries and how this applies today. You get to explore the concepts with your own hands and really see how it all works. As both a mathematician and a crocheter I’m itching to make my own hyperbolic planes and use them in all sorts of places!\"\u003c\/p\u003e\u003cp\u003e\u003cstrong\u003e—Samantha Durbin, The Royal Institution of Great Britain\u003c\/strong\u003e\u003c\/p\u003e\u003cp\u003eThis is the second edition of the book Crocheting Adventures with Hyperbolic Planes, which won the 2012 Euler Book Prize[. . . . ]This book presents an amazing hybrid approach to two seemingly different audiences: mathematicians and fiber artists.\u003c\/p\u003e\u003cp\u003eFor the mathematician, the book presents a tactile approach to the very theoretical concepts in hyperbolic geometry, providing clear directions on how to construct objects in hyperbolic geometry. This book is a great introduction to hyperbolic geometry for anyone wanting to know about the subject and would be a great asset to any undergraduate math student studying non-Euclidean geometries.\u003c\/p\u003e\u003cp\u003eFor the fiber artist interested in crochet, the book does a great job of explaining very advanced mathematics in an inviting and understanding way, encouraging artists to pursue more mathematics to incorporate into their creative works. It also provides insight into the creative process of developing mathematics, showing that mathematicians and artists both use very creative processes.\u003c\/p\u003e\u003cp\u003eThis book is extremely well-written and organized. [. . . .] The book also weaves together the history and development of non-Euclidean geometries and their connections to many different areas such as art, biology and nature, physics, computer science, music, chemistry, and architecture. Each chapter has a clear purpose, and the imagery really complements the writing. \u003c\/p\u003e\u003cp\u003eAt the end of the book, there is a section on how to make models. For the artist interested in crochet, the directions are a little bit more mathematical, but they are presented clearly. It will definitely be quite different than any pattern you have read before! For the mathematician who would like to have some tactile hyperbolic models, there are directions for making models out of paper as well. \u003c\/p\u003e\u003cp\u003eThis book is more than just a great introduction to hyperbolic geometry, it is a great book to showcase the work of mathematicians and the process of discovering mathematics. As mathematicians, we often only present our finished and most-polished versions of our work, and we don’t let many people see the process by which this polished mathematics was developed.This book gives the reader insight into that process and illuminates the creativity involved in the development of mathematics.\u003c\/p\u003e\u003cp\u003e\u003cstrong\u003e—Rachelle Bouchat, \u003cem\u003eMAA Reviews \u003c\/em\u003eOctober 2019\u003c\/strong\u003e\u003c\/p\u003e\u003cp\u003e\u003cstrong\u003ePraise for previous edition\u003c\/strong\u003e\u003c\/p\u003e\u003cp\u003e\"2012 Euler Book Prize Winner ...elegant, novel approach... that is perfectly capable of standing on its mathematical feet as a clear, rigorous, and beautifully illustrated introduction to hyperbolic geometry. It is truly a book where art, craft, science, and mathematics come together in perfect harmony.\"\u003cbr\u003e\u003cstrong\u003e—MAA, December 2011\u003c\/strong\u003e\u003c\/p\u003e\u003cp\u003e\"This book is richly illustrated with photographs and colored illustrations and it has been produced on high-quality paper. It would be a useful addition to the library of a school or university.\"\u003cbr\u003e\u003cstrong\u003e—\u003cem\u003eGazette-Australia\u003c\/em\u003e, May 2011\u003c\/strong\u003e\u003c\/p\u003e\u003cp\u003e\"Daina's crochet models break through the austere, formal stereotype of mathematics and present a path to a whole-brain understanding of a beautiful cluster of simple and significant ideas. The book helps to change the way of thinking about mathematics - an art of human understanding!\"\u003cbr\u003e\u003cstrong\u003e—Corina Mohorianu, Zentralblatt MATH, September 2009\u003c\/strong\u003e\u003c\/p\u003e\u003cp\u003e\"The models illustrated in this book are prime examples of art influencing mathematics. Daina provides the necessary instructions for even novices to crochet and create hyperbolic models of their own.\"\u003cbr\u003e\u003cstrong\u003e—Swami Swaminathan, Canadian Mathematical Society Notes, October 2009\u003c\/strong\u003e\u003c\/p\u003e\u003cp\u003e\"It lays out the fundamental knowledge for appreciation of tactile hyperbolic manifolds cautiously and accessibly. ... an enjoyable read for a general audience.\"\u003cbr\u003e\u003cstrong\u003e—David Jacob Wildstrom, \u003cem\u003eMathematical Reviews\u003c\/em\u003e, December 2009\u003c\/strong\u003e\u003c\/p\u003e\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003e\u003cp\u003eForeword by William Thurston. Introduction. What Is the Hyperbolic Plane? Can We Crochet It?. What Can You Learn from Your Model?. Four Strands in the History of Geometry. Tidbits from the History of Crochet. What is Non-Euclidean Geometry?. Pseudosphere. Metamorphoses of the Hyperbolic Plane. Other Surfaces with Negative Curvature. Looking for Applications of Hyperbolic Geometry. Hyperbolic Crochet goes Viral. Appendix: How to Make Models.\u003c\/p\u003e","brand":"Taylor \u0026 Francis Ltd","offers":[{"title":"Default Title","offer_id":48864498811223,"sku":"9780367375072","price":31.36,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9780367375072.jpg?v=1722272209"},{"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":999.99,"currency_code":"GBP","in_stock":false}],"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":10.44,"currency_code":"GBP","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9780486235424.jpg?v=1791379201"},{"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}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9780486242972.jpg?v=1791379200"},{"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":"dual-models-9780521543255","title":"Dual Models","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003eIn Dual Models, written in the same enthusiastic style as its predecessors Polyhedron Models and Spherical Models, Magnus J. Wenninger presents the complete set of uniform duals of uniform polyhedral, thus rounding out a significant body of knowledge with respect to polyhedral forms. He begins with the simplest convex solids but then goes on to show how all the more difficult, non convex, uniform polyhedral duals can be derived from a geometric theorem on duality that unifies and systematizes the entire set of such duals. Many of these complex shapes are published here for the first time. Models made by the author are shown in photographs, and these, along with line drawings, diagrams, and commentary, invite readers to undertake the task of making the models, using index cards or tag paper and glue as construction materials. The mathematics is deliberately kept at the high school or secondary level, and hence the book presumes at most some knowledge of geometry and ordinary trigonometr\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003eForeword John Skilling; Preface; Introduction; 1. The five regular convex polyhedra and their duals; 2. The thirteen semiregular convex polyhedra and their duals; 3. Stellated forms of convex duals; 4. The duals of nonconvex uniform polyhedra; 5. Some interesting polyhedral compounds; Epilogue; Appendix; References; List of polyhedra and dual models.","brand":"Cambridge University Press","offers":[{"title":"Default Title","offer_id":48864954155351,"sku":"9780521543255","price":46.99,"currency_code":"GBP","in_stock":true}]},{"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":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9780674284388.jpg?v=1791379217"},{"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":23.75,"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"}],"url":"https:\/\/bookcurl.com\/collections\/geometry.oembed?page=47","provider":"Book Curl","version":"1.0","type":"link"}