Author: Tabish Khair
Publisher: Viking Books
ISBN:
Category : Poetry
Languages : en
Pages : 128
Book Description
In Where Parallel Lines Meet, his fourth collection of poems, Tabish Khair captures with uncanny lyrical precision, the fragile beauty of the past. This past is preserved in a country (India) he no longer inhabits, but in which lives the language of his memory. Each poem tells a storyýwhether it is in the smell of rain on earth, in the taste of mangoes ripening in the straw, in an old nurseýs tales, or in a murder in South Delhi. In poems about love, the family, landscapes, and belonging and exile, Khair returns to a time and place that hold within them all his deeply-felt experiences of both innocence and discovery, cruelty and charm. They express his acute awareness of how rooted we really are in both history and the physical world. Rich in metaphor and intensity, Khairýs poems shine with an inner luminosity and sensuality.
Where Parallel Lines Meet
Author: Tabish Khair
Publisher: Viking Books
ISBN:
Category : Poetry
Languages : en
Pages : 128
Book Description
In Where Parallel Lines Meet, his fourth collection of poems, Tabish Khair captures with uncanny lyrical precision, the fragile beauty of the past. This past is preserved in a country (India) he no longer inhabits, but in which lives the language of his memory. Each poem tells a storyýwhether it is in the smell of rain on earth, in the taste of mangoes ripening in the straw, in an old nurseýs tales, or in a murder in South Delhi. In poems about love, the family, landscapes, and belonging and exile, Khair returns to a time and place that hold within them all his deeply-felt experiences of both innocence and discovery, cruelty and charm. They express his acute awareness of how rooted we really are in both history and the physical world. Rich in metaphor and intensity, Khairýs poems shine with an inner luminosity and sensuality.
Publisher: Viking Books
ISBN:
Category : Poetry
Languages : en
Pages : 128
Book Description
In Where Parallel Lines Meet, his fourth collection of poems, Tabish Khair captures with uncanny lyrical precision, the fragile beauty of the past. This past is preserved in a country (India) he no longer inhabits, but in which lives the language of his memory. Each poem tells a storyýwhether it is in the smell of rain on earth, in the taste of mangoes ripening in the straw, in an old nurseýs tales, or in a murder in South Delhi. In poems about love, the family, landscapes, and belonging and exile, Khair returns to a time and place that hold within them all his deeply-felt experiences of both innocence and discovery, cruelty and charm. They express his acute awareness of how rooted we really are in both history and the physical world. Rich in metaphor and intensity, Khairýs poems shine with an inner luminosity and sensuality.
Visual Complex Analysis
Author: Tristan Needham
Publisher: Oxford University Press
ISBN: 9780198534464
Category : Mathematics
Languages : en
Pages : 620
Book Description
This radical first course on complex analysis brings a beautiful and powerful subject to life by consistently using geometry (not calculation) as the means of explanation. Aimed at undergraduate students in mathematics, physics, and engineering, the book's intuitive explanations, lack of advanced prerequisites, and consciously user-friendly prose style will help students to master the subject more readily than was previously possible. The key to this is the book's use of new geometric arguments in place of the standard calculational ones. These geometric arguments are communicated with the aid of hundreds of diagrams of a standard seldom encountered in mathematical works. A new approach to a classical topic, this work will be of interest to students in mathematics, physics, and engineering, as well as to professionals in these fields.
Publisher: Oxford University Press
ISBN: 9780198534464
Category : Mathematics
Languages : en
Pages : 620
Book Description
This radical first course on complex analysis brings a beautiful and powerful subject to life by consistently using geometry (not calculation) as the means of explanation. Aimed at undergraduate students in mathematics, physics, and engineering, the book's intuitive explanations, lack of advanced prerequisites, and consciously user-friendly prose style will help students to master the subject more readily than was previously possible. The key to this is the book's use of new geometric arguments in place of the standard calculational ones. These geometric arguments are communicated with the aid of hundreds of diagrams of a standard seldom encountered in mathematical works. A new approach to a classical topic, this work will be of interest to students in mathematics, physics, and engineering, as well as to professionals in these fields.
Leibniz on the Parallel Postulate and the Foundations of Geometry
Author: Vincenzo De Risi
Publisher: Birkhäuser
ISBN: 3319198637
Category : Mathematics
Languages : en
Pages : 199
Book Description
This book offers a general introduction to the geometrical studies of Gottfried Wilhelm Leibniz (1646-1716) and his mathematical epistemology. In particular, it focuses on his theory of parallel lines and his attempts to prove the famous Parallel Postulate. Furthermore it explains the role that Leibniz’s work played in the development of non-Euclidean geometry. The first part is an overview of his epistemology of geometry and a few of his geometrical findings, which puts them in the context of the seventeenth-century studies on the foundations of geometry. It also provides a detailed mathematical and philosophical commentary on his writings on the theory of parallels, and discusses how they were received in the eighteenth century as well as their relevance for the non-Euclidean revolution in mathematics. The second part offers a collection of Leibniz’s essays on the theory of parallels and an English translation of them. While a few of these papers have already been published (in Latin) in the standard Leibniz editions, most of them are transcribed from Leibniz’s manuscripts written in Hannover, and published here for the first time. The book provides new material on the history of non-Euclidean geometry, stressing the previously neglected role of Leibniz in these developments. This volume will be of interest to historians in mathematics, philosophy or logic, as well as mathematicians interested in non-Euclidean geometry.
Publisher: Birkhäuser
ISBN: 3319198637
Category : Mathematics
Languages : en
Pages : 199
Book Description
This book offers a general introduction to the geometrical studies of Gottfried Wilhelm Leibniz (1646-1716) and his mathematical epistemology. In particular, it focuses on his theory of parallel lines and his attempts to prove the famous Parallel Postulate. Furthermore it explains the role that Leibniz’s work played in the development of non-Euclidean geometry. The first part is an overview of his epistemology of geometry and a few of his geometrical findings, which puts them in the context of the seventeenth-century studies on the foundations of geometry. It also provides a detailed mathematical and philosophical commentary on his writings on the theory of parallels, and discusses how they were received in the eighteenth century as well as their relevance for the non-Euclidean revolution in mathematics. The second part offers a collection of Leibniz’s essays on the theory of parallels and an English translation of them. While a few of these papers have already been published (in Latin) in the standard Leibniz editions, most of them are transcribed from Leibniz’s manuscripts written in Hannover, and published here for the first time. The book provides new material on the history of non-Euclidean geometry, stressing the previously neglected role of Leibniz in these developments. This volume will be of interest to historians in mathematics, philosophy or logic, as well as mathematicians interested in non-Euclidean geometry.
Elementary College Geometry
Author: Henry Africk
Publisher:
ISBN: 9780759341906
Category : Geometry
Languages : en
Pages : 369
Book Description
Publisher:
ISBN: 9780759341906
Category : Geometry
Languages : en
Pages : 369
Book Description
To Infinity and Beyond
Author: Eli Maor
Publisher: Princeton University Press
ISBN: 0691178119
Category : Mathematics
Languages : en
Pages : 308
Book Description
Eli Maor examines the role of infinity in mathematics and geometry and its cultural impact on the arts and sciences. He evokes the profound intellectual impact the infinite has exercised on the human mind, from the "horror infiniti" of the Greeks to the works of M.C. Escher; from the ornamental designs of the Moslems, to the sage Giordano Bruno, whose belief in an infinite universe led to his death at the hands of the Inquisition. But above all, the book describes the mathematician's fascination with infinity, a fascination mingled with puzzlement. "Maor explores the idea of infinity in mathematics and in art and argues that this is the point of contact between the two, best exemplified by the work of the Dutch artist M.C. Escher, six of whose works are shown here in beautiful color plates."--Los Angeles Times "[Eli Maor's] enthusiasm for the topic carries the reader through a rich panorama." Choice "Fascinating and enjoyable.... places the ideas of infinity in a cultural context and shows how they have been espoused and molded by mathematics."-Science.
Publisher: Princeton University Press
ISBN: 0691178119
Category : Mathematics
Languages : en
Pages : 308
Book Description
Eli Maor examines the role of infinity in mathematics and geometry and its cultural impact on the arts and sciences. He evokes the profound intellectual impact the infinite has exercised on the human mind, from the "horror infiniti" of the Greeks to the works of M.C. Escher; from the ornamental designs of the Moslems, to the sage Giordano Bruno, whose belief in an infinite universe led to his death at the hands of the Inquisition. But above all, the book describes the mathematician's fascination with infinity, a fascination mingled with puzzlement. "Maor explores the idea of infinity in mathematics and in art and argues that this is the point of contact between the two, best exemplified by the work of the Dutch artist M.C. Escher, six of whose works are shown here in beautiful color plates."--Los Angeles Times "[Eli Maor's] enthusiasm for the topic carries the reader through a rich panorama." Choice "Fascinating and enjoyable.... places the ideas of infinity in a cultural context and shows how they have been espoused and molded by mathematics."-Science.
Euclid's Elements
Author: Euclid
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 544
Book Description
"The book includes introductions, terminology and biographical notes, bibliography, and an index and glossary" --from book jacket.
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 544
Book Description
"The book includes introductions, terminology and biographical notes, bibliography, and an index and glossary" --from book jacket.
Theory of Parallels
Author: Nikolaj Ivanovič Lobačevskij
Publisher: Independently Published
ISBN: 9781099688812
Category :
Languages : en
Pages : 52
Book Description
LOBACHEVSKY was the first man ever to publish a non-Euclidean geometry. Of the immortal essay now first appearing in English Gauss said, "The author has treated the matter with a master-hand and in the true geometer's spirit. I think I ought to call your attention to this book, whose perusal cannot fail to give you the most vivid pleasure." Clifford says, "It is quite simple, merely Euclid without the vicious assumption, but the way things come out of one another is quite lovely." * * * "What Vesalius was to Galen, what Copernicus was to Ptolemy, that was Lobachevsky to Euclid." Says Sylvester, "In Quaternions the example has been given of Algebra released from the yoke of the commutative principle of multiplication - an emancipation somewhat akin to Lobachevsky's of Geometry from Euclid's noted empirical axiom." Cayley says, "It is well known that Euclid's twelfth axiom, even in Playfair's form of it, has been considered as needing demonstration; and that Lobachevsky constructed a perfectly consistent theory, where- in this axiom was assumed not to hold good, or say a system of non- Euclidean plane geometry. There is a like system of non-Euclidean solid geometry." GEORGE BRUCE HALSTED. 2407 San Marcos Street, Austin, Texas. * * * *From the TRANSLATOR'S INTRODUCTION. "Prove all things, hold fast that which is good," does not mean demonstrate everything. From nothing assumed, nothing can be proved. "Geometry without axioms," was a book which went through several editions, and still has historical value. But now a volume with such a title would, without opening it, be set down as simply the work of a paradoxer. The set of axioms far the most influential in the intellectual history of the world was put together in Egypt; but really it owed nothing to the Egyptian race, drew nothing from the boasted lore of Egypt's priests. The Papyrus of the Rhind, belonging to the British Museum, but given to the world by the erudition of a German Egyptologist, Eisenlohr, and a German historian of mathematics, Cantor, gives us more knowledge of the state of mathematics in ancient Egypt than all else previously accessible to the modern world. Its whole testimony con- firms with overwhelming force the position that Geometry as a science, strict and self-conscious deductive reasoning, was created by the subtle intellect of the same race whose bloom in art still overawes us in the Venus of Milo, the Apollo Belvidere, the Laocoon. In a geometry occur the most noted set of axioms, the geometry of Euclid, a pure Greek, professor at the University of Alexandria. Not only at its very birth did this typical product of the Greek genius assume sway as ruler in the pure sciences, not only does its first efflorescence carry us through the splendid days of Theon and Hypatia, but unlike the latter, fanatics cannot murder it; that dismal flood, the dark ages, cannot drown it. Like the phoenix of its native Egypt, it rises with the new birth of culture. An Anglo-Saxon, Adelard of Bath, finds it clothed in Arabic vestments in the land of the Alhambra. Then clothed in Latin, it and the new-born printing press confer honor on each other. Finally back again in its original Greek, it is published first in queenly Basel, then in stately Oxford. The latest edition in Greek is from Leipsic's learned presses.
Publisher: Independently Published
ISBN: 9781099688812
Category :
Languages : en
Pages : 52
Book Description
LOBACHEVSKY was the first man ever to publish a non-Euclidean geometry. Of the immortal essay now first appearing in English Gauss said, "The author has treated the matter with a master-hand and in the true geometer's spirit. I think I ought to call your attention to this book, whose perusal cannot fail to give you the most vivid pleasure." Clifford says, "It is quite simple, merely Euclid without the vicious assumption, but the way things come out of one another is quite lovely." * * * "What Vesalius was to Galen, what Copernicus was to Ptolemy, that was Lobachevsky to Euclid." Says Sylvester, "In Quaternions the example has been given of Algebra released from the yoke of the commutative principle of multiplication - an emancipation somewhat akin to Lobachevsky's of Geometry from Euclid's noted empirical axiom." Cayley says, "It is well known that Euclid's twelfth axiom, even in Playfair's form of it, has been considered as needing demonstration; and that Lobachevsky constructed a perfectly consistent theory, where- in this axiom was assumed not to hold good, or say a system of non- Euclidean plane geometry. There is a like system of non-Euclidean solid geometry." GEORGE BRUCE HALSTED. 2407 San Marcos Street, Austin, Texas. * * * *From the TRANSLATOR'S INTRODUCTION. "Prove all things, hold fast that which is good," does not mean demonstrate everything. From nothing assumed, nothing can be proved. "Geometry without axioms," was a book which went through several editions, and still has historical value. But now a volume with such a title would, without opening it, be set down as simply the work of a paradoxer. The set of axioms far the most influential in the intellectual history of the world was put together in Egypt; but really it owed nothing to the Egyptian race, drew nothing from the boasted lore of Egypt's priests. The Papyrus of the Rhind, belonging to the British Museum, but given to the world by the erudition of a German Egyptologist, Eisenlohr, and a German historian of mathematics, Cantor, gives us more knowledge of the state of mathematics in ancient Egypt than all else previously accessible to the modern world. Its whole testimony con- firms with overwhelming force the position that Geometry as a science, strict and self-conscious deductive reasoning, was created by the subtle intellect of the same race whose bloom in art still overawes us in the Venus of Milo, the Apollo Belvidere, the Laocoon. In a geometry occur the most noted set of axioms, the geometry of Euclid, a pure Greek, professor at the University of Alexandria. Not only at its very birth did this typical product of the Greek genius assume sway as ruler in the pure sciences, not only does its first efflorescence carry us through the splendid days of Theon and Hypatia, but unlike the latter, fanatics cannot murder it; that dismal flood, the dark ages, cannot drown it. Like the phoenix of its native Egypt, it rises with the new birth of culture. An Anglo-Saxon, Adelard of Bath, finds it clothed in Arabic vestments in the land of the Alhambra. Then clothed in Latin, it and the new-born printing press confer honor on each other. Finally back again in its original Greek, it is published first in queenly Basel, then in stately Oxford. The latest edition in Greek is from Leipsic's learned presses.
Teaching STEM in the Early Years
Author: Sally Moomaw
Publisher: Redleaf Press
ISBN: 1605542539
Category : Education
Languages : en
Pages : 239
Book Description
The foundation for science, technology, engineering, and mathematics (STEM) education begins in the early years. This book provides more than ninety activities and learning center ideas that seamlessly integrate STEM throughout early childhood classrooms. These hands-on STEM experiences enhance cooking, art, and music activities, block play and sensory table exploration, and field trips and outdoor time. Information on assessment and early learning standards is also provided. Sally Moomaw, EdD, has spent much of her career researching and teaching STEM education. She is an assistant professor at the University of Cincinnati and the author of several early education books.
Publisher: Redleaf Press
ISBN: 1605542539
Category : Education
Languages : en
Pages : 239
Book Description
The foundation for science, technology, engineering, and mathematics (STEM) education begins in the early years. This book provides more than ninety activities and learning center ideas that seamlessly integrate STEM throughout early childhood classrooms. These hands-on STEM experiences enhance cooking, art, and music activities, block play and sensory table exploration, and field trips and outdoor time. Information on assessment and early learning standards is also provided. Sally Moomaw, EdD, has spent much of her career researching and teaching STEM education. She is an assistant professor at the University of Cincinnati and the author of several early education books.
Experiencing Geometry
Author: David Wilson Henderson
Publisher: Prentice Hall
ISBN:
Category : Mathematics
Languages : en
Pages : 438
Book Description
The distinctive approach of Henderson and Taimina's volume stimulates readers to develop a broader, deeper, understanding of mathematics through active experience--including discovery, discussion, writing fundamental ideas and learning about the history of those ideas. A series of interesting, challenging problems encourage readers to gather and discuss their reasonings and understanding. The volume provides an understanding of the possible shapes of the physical universe. The authors provide extensive information on historical strands of geometry, straightness on cylinders and cones and hyperbolic planes, triangles and congruencies, area and holonomy, parallel transport, SSS, ASS, SAA, and AAA, parallel postulates, isometries and patterns, dissection theory, square roots, pythagoras and similar triangles, projections of a sphere onto a plane, inversions in circles, projections (models) of hyperbolic planes, trigonometry and duality, 3-spheres and hyperbolic 3-spaces and polyhedra. For mathematics educators and other who need to understand the meaning of geometry.
Publisher: Prentice Hall
ISBN:
Category : Mathematics
Languages : en
Pages : 438
Book Description
The distinctive approach of Henderson and Taimina's volume stimulates readers to develop a broader, deeper, understanding of mathematics through active experience--including discovery, discussion, writing fundamental ideas and learning about the history of those ideas. A series of interesting, challenging problems encourage readers to gather and discuss their reasonings and understanding. The volume provides an understanding of the possible shapes of the physical universe. The authors provide extensive information on historical strands of geometry, straightness on cylinders and cones and hyperbolic planes, triangles and congruencies, area and holonomy, parallel transport, SSS, ASS, SAA, and AAA, parallel postulates, isometries and patterns, dissection theory, square roots, pythagoras and similar triangles, projections of a sphere onto a plane, inversions in circles, projections (models) of hyperbolic planes, trigonometry and duality, 3-spheres and hyperbolic 3-spaces and polyhedra. For mathematics educators and other who need to understand the meaning of geometry.
Tough Topics in Shape and Angle
Author: Peter Patilla
Publisher: Heinemann
ISBN: 9780435023003
Category : Angles (Geometry)
Languages : en
Pages : 68
Book Description
Publisher: Heinemann
ISBN: 9780435023003
Category : Angles (Geometry)
Languages : en
Pages : 68
Book Description