Euclidean geometry Books
Taschen GmbH Oliver Byrne. The First Six Books of the Elements
Book SynopsisNearly a century before Mondrian made geometrical red, yellow, and blue lines famous, 19th-century mathematician Oliver Byrne employed the color scheme for his 1847 edition of Euclid’s mathematical and geometric treatise Elements. Byrne’s idea was to use color to make learning easier and “diffuse permanent knowledge.” The result has been described as one of the oddest and most beautiful books of the 19th century. The facsimile of Byrne’s seminal publication is now available in a beautiful new edition. A masterwork of art and science, it is as remarkable in the boldness of its red, yellow, and blue figures and diagrams as it is in the mathematical precision of its theories. In the simplicity of forms and colors, the pages anticipate the vigor of De Stijl and Bauhaus design. In making complex information at once accessible and aesthetically engaging, this work is a forerunner to the information graphics that today define much of our data consumption.Trade Review“Every graphic designer, book lover and math nerd will be awestruck.” * The New York Times *
£62.78
HarperCollins Publishers The Road to Geometry
Book Synopsis Euclid's Elements of Geometry was a book that changed the world. Trade Review Praise for The Book of Wonders ‘An astonishingly readable and informative history of the greatest mathematical bestseller of all time, from ancient Greece to dark energy. The writing is vivid and the stories are gripping. Highly recommended!’Ian Stewart, author of Significant Figures ‘Benjamin Wardhaugh is an excellent storyteller and his collected short story approach to the history of The Elements works splendidly… simultaneously educational, entertaining and illuminating … A highly desirable read for all those, both professional and amateur, who interest themselves in the histories of mathematics, science and knowledge … over almost two and a half millennia’Thony Christie, The Renaissance Mathematicus ‘A fascinating tour through 2300 years of reading, re-imagining, & responding to perhaps most important textbook ever written’ Seb Falk, author of The Light Ages Praise for Benjamin Wardhaugh’s Gunpowder and Geometry ‘Meticulous yet lively biography, even those who have never heard of its subject could hardly disagree’ Sunday Times ‘Wardhaugh graphically describes the conditions Hutton escaped from and the importance of Newcastle and its coal to the changes taking place in Britain in the second half of the eighteenth century . . . like something from the pages of a Jane Austen novel . . . Wardhaugh has done a good job of rescuing Hutton from obscurity and setting the man and his achievements in the context of their times . . . This account of how “the pit boy turned professor” became “one of the most revered British scientists of his day” is well worth reading’ Literary Review
£21.25
Wooden Books Compound Polytopes polygons tilings polyhedra
Book Synopsis
£8.50
Clarendon Press Elementary Geometry
Book SynopsisThis text is a careful introduction to geometry. While developing geometry for its own sake, the book also emphasizes the links between geometry and other branches of pure and applied mathematics.Trade Review'This text is a careful introduction to Euclidean geometry that emphasizes its connections with other subjects. Glimpses of more advanced topics in pure mathematics are balanced by a straightforward treatment of the geometry needed for mechanics and classical applied mathematics.' L'Enseignement Mathématique, 3-4 1993'a simple, clean introduction to Euclidean and differential geometry ... It could be read by an enthusiastic sixth-former but is entirely suitable for use in a first-year undergraduate course.' Ian Stewart, New Scientist'In less than 300 pages of text, the author clearly and precisely explains all (or most) of the geometry classically expected to be learned by beginning mathematics and physics students, and he does it in a thoroughly modern manner, with brief historical anecdotes and indications of practical utility, bringing in new tools as they become useful. This is an excellent new text, much to be recommended.' John H. Halton, University of North Carolina at Chapel Hill, American Scientist, Volume 83, 1995 January-FebruaryTable of ContentsAxioms for geometry; Vector geometry; Congruence axioms; Euclidean geometry; Coordinates and equations; Plane geometry; Conics and other curves; Solid geometry; Area and volume; Quadric surfaces; Differential geometry of curves; Differential geometry of surfaces.
£60.30
Cambridge University Press Quasicrystals and Geometry
Book SynopsisQuasicrystals and Geometry brings together for the first time the many strands of contemporary research in quasicrystal geometry and weaves them into a coherent whole. The author describes the historical and scientific context of this work, and carefully explains what has been proved and what is conjectured. This, together with a bibliography of over 250 references, provides a solid background for further study. The discovery in 1984 of crystals with 'forbidden' symmetry posed fascinating and challenging problems in many fields of mathematics, as well as in the solid state sciences. Increasingly, mathematicians and physicists are becoming intrigued by the quasicrystal phenomenon, and the result has been an exponential growth in the literature on the geometry of diffraction patterns, the behaviour of the Fibonacci and other nonperiodic sequences, and the fascinating properties of the Penrose tilings and their many relatives.Trade Review'In this excellent monograph, Marjorie Senechal … gives us insight into what happened when established ideas had to be reexamined, modified or overturned … Her several published reports and this book convey both the searches for new directions and the excitement of new results and are worthwhile narratives of ten exciting years.' Science'This is a little gem of a book, with a quasicrystalline elegance to it.' American Scientist'… this is a nice, timely and valuable book and is recommended to anyone interested in learning about this subject.' European Mathematical Society NewsletterTable of ContentsPreface; 1. Past as prologue; 2. Lattices, Voronoi cells, and quasicrystals; 3. Introduction to diffraction geometry; 4. Order on the line; 5. Tiles and tilings; 6. Penrose tilings of the plane; 7. The aperiodic zoo; 8. An atlas of tiling transforms; Appendix I. A mathematician's toolbag; Appendix II. De Bruijn's generalized functions; References.
£43.99
Cambridge University Press Sets of Finite Perimeter and Geometric
Book SynopsisThis engaging graduate-level introduction to geometric measure theory bridges analysis and geometry, taking readers from basic theory to some of the most celebrated results in modern analysis. Explanatory pictures, detailed proofs, exercises and helpful remarks make it suitable for self-study and also a useful reference for researchers.Trade Review'The book is a clear exposition of the theory of sets of finite perimeter, that introduces this topic in a very elegant and original way, and shows some deep and important results and applications … Although most of the results contained in this book are classical, some of them appear in this volume for the first time in book form, and even the more classical topics which one may find in several other books are presented here with a strong touch of originality which makes this book pretty unique … I strongly recommend this excellent book to every researcher or graduate student in the field of calculus of variations and geometric measure theory.' Alessio Figalli, Canadian Mathematical Society Notes'The first aim of the book is to provide an introduction for beginners to the theory of sets of finite perimeter, presenting results concerning the existence, symmetry, regularity and structure of singularities in some variational problems involving length and area … The secondary aim … is to provide a multi-leveled introduction to the study of other variational problems … an interested reader is able to enter with relative ease several parts of geometric measure theory and to apply some tools from this theory in the study of other problems from mathematics … This is a well-written book by a specialist in the field … It provides generous guidance to the reader [and] is recommended … not only to beginners who can find an up-to-date source in the field but also to specialists … It is an invitation to understand and to approach some deep and difficult problems from mathematics and physics.' Vasile Oproiu, Zentralblatt MATHTable of ContentsPart I. Radon Measures on Rn: 1. Outer measures; 2. Borel and Radon measures; 3. Hausdorff measures; 4. Radon measures and continuous functions; 5. Differentiation of Radon measures; 6. Two further applications of differentiation theory; 7. Lipschitz functions; 8. Area formula; 9. Gauss–Green theorem; 10. Rectifiable sets and blow-ups of Radon measures; 11. Tangential differentiability and the area formula; Part II. Sets of Finite Perimeter: 12. Sets of finite perimeter and the Direct Method; 13. The coarea formula and the approximation theorem; 14. The Euclidean isoperimetric problem; 15. Reduced boundary and De Giorgi's structure theorem; 16. Federer's theorem and comparison sets; 17. First and second variation of perimeter; 18. Slicing boundaries of sets of finite perimeter; 19. Equilibrium shapes of liquids and sessile drops; 20. Anisotropic surface energies; Part III. Regularity Theory and Analysis of Singularities: 21. (Λ, r0)-perimeter minimizers; 22. Excess and the height bound; 23. The Lipschitz approximation theorem; 24. The reverse Poincaré inequality; 25. Harmonic approximation and excess improvement; 26. Iteration, partial regularity, and singular sets; 27. Higher regularity theorems; 28. Analysis of singularities; Part IV. Minimizing Clusters: 29. Existence of minimizing clusters; 30. Regularity of minimizing clusters; References; Index.
£74.09
Cambridge University Press The Thirteen Books of Euclids Elements Volume 1 Introduction and Books I II
Book SynopsisAfter studying both classics and mathematics at the University of Cambridge, Sir Thomas Little Heath (1861â1940) used his time away from his job as a civil servant to publish many works on the subject of ancient mathematics, both popular and academic. First published in 1926 as the second edition of a 1908 original, this book contains the first volume of his three-volume English translation of the thirteen books of Euclid's Elements, covering Books One and Two. This detailed text will be of value to anyone with an interest in Greek geometry and the history of mathematics.Table of ContentsIntroduction: 1. Euclid and the traditions about him; 2. Euclid's other works; 3. Greek commentators other than Proclus; 4. Proclus and his sources; 5. The text; 6. The scholia; 7. Euclid in Arabia; 8. Principal translations and editions; 9. On the nature of elements; The Elements: Book I: Definitions, postulates, common notions; Notes on definitions etc.; Propositions; Book II: Definitions; Note on geometrical algebra; Propositions; Excursus I. Pythagoras and the Pythagoreans; Excursus II. Popular names for Euclidean propositions; Greek index to vol. 1; English index to vol. 1.
£27.99
Lulu Press Euclids Elements in Greek Vol. I Books 14
£15.07
Centre for the Study of Language & Information Euclid and His Twentieth Century Rivals: Diagrams in the Logic of Euclidean Geometry
Book SynopsisTwentieth-century developments in logic and mathematics have led many people to view Euclid's proofs as inherently informal, especially due to his use of diagrams. In "Euclid and His Twentieth-Century Rivals", Nathaniel Miller discusses the history of such diagrams in Euclidean geometry, develops a formal system for working with them, and concludes that they can indeed be used rigorously. Miller also introduces a diagrammatic computer proof system, based on this formal system. This volume will be of interest to mathematicians, computer scientists, and anyone interested in the use of diagrams in geometry.
£22.00
New Age International (UK) Ltd Plane Trigonometry: Part 1
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£33.25
New Age International (UK) Ltd Plane Trigonometry: Part 2
Book Synopsis
£28.50
World Scientific Publishing Co Pte Ltd Basic Lessons On Isometries, Similarities And
Book SynopsisThe aim of this book is to provide a complete synthetic exposition of plane isometries, similarities and inversions to readers who are interested in studying, teaching, and using this material.The topics developed in this book can provide new proofs and solutions to many results and problems of classical geometry, which are presented with different proofs in the literature. Their applications are numerous and some, such as the Steiner Chains and Point, are useful to engineers.The book contains many good examples, important applications and numerous exercises of various level and difficulty, which are classified in the three groups of: general exercises, geometrical constructions, and geometrical loci. Some lengthy exercises or groups of related exercises can be viewed as projects. On the basis of the above, this book, besides Classical Geometry, is an important addition to Mathematics Education.
£63.00
World Scientific Publishing Co Pte Ltd Elements Of Digital Geometry, Mathematical
Book SynopsisThe author presents three distinct but related branches of science in this book: digital geometry, mathematical morphology, and discrete optimization. They are united by a common mindset as well as by the many applications where they are useful. In addition to being useful, each of these relatively new branches of science is also intellectually challenging.The book contains a systematic study of inverses of mappings between ordered sets, and so offers a uniquely helpful organization in the approach to several phenomena related to duality.To prepare the ground for discrete convexity, there are chapters on convexity in real vector spaces in anticipation of the many challenging problems coming up in digital geometry. To prepare for the study of new topologies introduced to serve in discrete spaces, there is also a chapter on classical topology.The book is intended for general readers with a modest background in mathematics and for advanced undergraduate students as well as beginning graduate students.
£130.50
