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A.D. Alexandrov is considered by many to be the father of intrinsic geometry, second only to Gauss in surface theory. That appraisal stems primarily from this masterpiece--now available in its entirely for the first time since its 1948 publication in Russian. Alexandrov's treatise begins with an outline of the basic ...
A.D. Alexandrov: Selected Works Part II: Intrinsic Geometry of Convex Surfaces
A.D. Alexandrov is considered by many to be the father of intrinsic geometry, second only to Gauss in surface theory. That appraisal stems primarily from this masterpiece--now available in its entirely for the first time since its 1948 publication in Russian. Alexandrov's treatise begins with an outline of the basic concepts, definitions, and results relevant to intrinsic geometry. It reviews the general theory, then presents the requisite general theorems on rectifiable curves and curves of minimum length. Proof of some of the general properties of the intrinsic metric of convex surfaces follows. The study then splits into two almost independent lines: further exploration of the intrinsic geometry of convex surfaces and proof of the existence of a surface with a given metric. The final chapter reviews the generalization of the whole theory to convex surfaces in the Lobachevskii space and in the spherical space, concluding with an outline of the theory of nonconvex surfaces. Alexandrov's work was both original and extremely influential. This book gave rise to studying surfaces in the large, rejecting the limitations of smoothness, and reviving the style of Euclid. Progress in geometry in recent decades correlates with the resurrection of the synthetic methods of geometry and brings the ideas of Alexandrov once again into focus. This text is a classic that remains unsurpassed in its clarity and scope.
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255.94 USD

A.D. Alexandrov: Selected Works Part II: Intrinsic Geometry of Convex Surfaces

Hardback
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This work reviews the most important results regarding the use of the α-point in Scheduling Theory. It provides a number of different LP-relaxations for scheduling problems and seeks to explain their polyhedral consequences. It also explains the concept of the α-point and how the conversion algorithm works, pointing out the ...
Machine Scheduling to Minimize Weighted Completion Times: The Use of the α-point
This work reviews the most important results regarding the use of the α-point in Scheduling Theory. It provides a number of different LP-relaxations for scheduling problems and seeks to explain their polyhedral consequences. It also explains the concept of the α-point and how the conversion algorithm works, pointing out the relations to the sum of the weighted completion times. Lastly, the book explores the latest techniques used for many scheduling problems with different constraints, such as release dates, precedences, and parallel machines. This reference book is intended for advanced undergraduate and postgraduate students who are interested in scheduling theory. It is also inspiring for researchers wanting to learn about sophisticated techniques and open problems of the field.
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57.740000 USD

Machine Scheduling to Minimize Weighted Completion Times: The Use of the α-point

by Nicolo Gusmeroli
Paperback
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This book deals with the genre of geometric design in the Islamic sphere. Part I presents an overview of Islamic history, its extraordinary spread from the Atlantic to the borders of China in its first century, its adoption of the cultural outlook of the older civilisations that it conquered (in ...
Islamic Design: A Mathematical Approach
This book deals with the genre of geometric design in the Islamic sphere. Part I presents an overview of Islamic history, its extraordinary spread from the Atlantic to the borders of China in its first century, its adoption of the cultural outlook of the older civilisations that it conquered (in the Middle East, Persia and Central Asia), including their philosophical and scientific achievements - from which it came to express its own unique and highly distinctive artistic and architectural forms. Part II represents the mathematical analysis of Islamic geometric designs. The presentation offers unlimited precision that allows software to reconstruct the design vision of the original artist. This book will be of interest to Islamic academics, mathematicians as well as to artists & art students.
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125.990000 USD

Islamic Design: A Mathematical Approach

by David Wade, Brian Wichmann
Hardback
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While it is well known that the Delian problems are impossible to solve with a straightedge and compass - for example, it is impossible to construct a segment whose length is â 2 with these instruments - the discovery of the Italian mathematician Margherita Beloch Piazzolla in 1934 that one ...
A History of Folding in Mathematics: Mathematizing the Margins
While it is well known that the Delian problems are impossible to solve with a straightedge and compass - for example, it is impossible to construct a segment whose length is â 2 with these instruments - the discovery of the Italian mathematician Margherita Beloch Piazzolla in 1934 that one can in fact construct a segment of length â 2 with a single paper fold was completely ignored (till the end of the 1980s). This comes as no surprise, since with few exceptions paper folding was seldom considered as a mathematical practice, let alone as a mathematical procedure of inference or proof that could prompt novel mathematical discoveries. A few questions immediately arise: Why did paper folding become a non-instrument? What caused the marginalisation of this technique? And how was the mathematical knowledge, which was nevertheless transmitted and prompted by paper folding, later treated and conceptualised? Aiming to answer these questions, this volume provides, for the first time, an extensive historical study on the history of folding in mathematics, spanning from the 16th century to the 20th century, and offers a general study on the ways mathematical knowledge is marginalised, disappears, is ignored or becomes obsolete. In doing so, it makes a valuable contribution to the field of history and philosophy of science, particularly the history and philosophy of mathematics and is highly recommended for anyone interested in these topics.
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177.450000 USD

A History of Folding in Mathematics: Mathematizing the Margins

by Michael Friedman
Hardback
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This volume contains a collection of research papers and useful surveys by experts in the field which provide a representative picture of the current status of this fascinating area. Based on contributions from the VIII International Meeting on Lorentzian Geometry, held at the University of Malaga, Spain, this volume covers ...
Lorentzian Geometry and Related Topics: GeLoMa 2016, Malaga, Spain, September 20-23
This volume contains a collection of research papers and useful surveys by experts in the field which provide a representative picture of the current status of this fascinating area. Based on contributions from the VIII International Meeting on Lorentzian Geometry, held at the University of Malaga, Spain, this volume covers topics such as distinguished (maximal, trapped, null, spacelike, constant mean curvature, umbilical...) submanifolds, causal completion of spacetimes, stationary regions and horizons in spacetimes, solitons in semi-Riemannian manifolds, relation between Lorentzian and Finslerian geometries and the oscillator spacetime. In the last decades Lorentzian geometry has experienced a significant impulse, which has transformed it from just a mathematical tool for general relativity to a consolidated branch of differential geometry, interesting in and of itself. Nowadays, this field provides a framework where many different mathematical techniques arise with applications to multiple parts of mathematics and physics. This book is addressed to differential geometers, mathematical physicists and relativists, and graduate students interested in the field.
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178.490000 USD

Lorentzian Geometry and Related Topics: GeLoMa 2016, Malaga, Spain, September 20-23

Hardback
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This self-contained book is an exposition of the fundamental ideas of model theory. It presents the necessary background from logic, set theory and other topics of mathematics. Only some degree of mathematical maturity and willingness to assimilate ideas from diverse areas are required. The book can be used for both ...
A Course on Basic Model Theory: 2017
This self-contained book is an exposition of the fundamental ideas of model theory. It presents the necessary background from logic, set theory and other topics of mathematics. Only some degree of mathematical maturity and willingness to assimilate ideas from diverse areas are required. The book can be used for both teaching and self-study, ideally over two semesters. It is primarily aimed at graduate students in mathematical logic who want to specialise in model theory. However, the first two chapters constitute the first introduction to the subject and can be covered in one-semester course to senior undergraduate students in mathematical logic. The book is also suitable for researchers who wish to use model theory in their work.
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89.240000 USD

A Course on Basic Model Theory: 2017

by Shashi Mohan Srivastava, Haimanti Sarbadhikari
Hardback
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- The only program that supports the Common Core State Standards throughout four-years of high school mathematics with an unmatched depth of resources and adaptive technology that helps you differentiate instruction for every student. * Connects students to math content with print, digital and interactive resources. * Prepares students to ...
Glencoe Geometry Student Edition
- The only program that supports the Common Core State Standards throughout four-years of high school mathematics with an unmatched depth of resources and adaptive technology that helps you differentiate instruction for every student. * Connects students to math content with print, digital and interactive resources. * Prepares students to meet the rigorous Common Core Standards with aligned content and focus on Standards of Mathematical Practice. * Meets the needs of every student with resources that enable you to tailor your instruction at the classroom and individual level. * Assesses student mastery and achievement with dynamic, digital assessment and reporting. Includes Print Student Edition
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180.340000 USD

Glencoe Geometry Student Edition

by McGraw-Hill Education
Hardback
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This established reference work continues to provide its readers with a gateway to some of the most interesting developments in contemporary geometry. It offers insight into a wide range of topics, including fundamental concepts of Riemannian geometry, such as geodesics, connections and curvature; the basic models and tools of geometric ...
Riemannian Geometry and Geometric Analysis: 2017
This established reference work continues to provide its readers with a gateway to some of the most interesting developments in contemporary geometry. It offers insight into a wide range of topics, including fundamental concepts of Riemannian geometry, such as geodesics, connections and curvature; the basic models and tools of geometric analysis, such as harmonic functions, forms, mappings, eigenvalues, the Dirac operator and the heat flow method; as well as the most important variational principles of theoretical physics, such as Yang-Mills, Ginzburg-Landau or the nonlinear sigma model of quantum field theory. The present volume connects all these topics in a systematic geometric framework. At the same time, it equips the reader with the working tools of the field and enables her or him to delve into geometric research. The 7th edition has been systematically reorganized and updated. Almost no page has been left unchanged. It also includes new material, for instance on symplectic geometry, as well as the Bishop-Gromov volume growth theorem which elucidates the geometric role of Ricci curvature. From the reviews: This book provides a very readable introduction to Riemannian geometry and geometric analysis...With the vast development of the mathematical subject of geometric analysis, the present textbook is most welcome. Mathematical Reviews For readers familiar with the basics of differential geometry and some acquaintance with modern analysis, the book is reasonably self-contained. The book succeeds very well in laying out the foundations of modern Riemannian geometry and geometric analysis. It introduces a number of key techniques and provides a representative overview of the field. Monatshefte fur Mathematik
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104.990000 USD

Riemannian Geometry and Geometric Analysis: 2017

by Jurgen Jost
Paperback
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Complex Conics and Their Real Representation (Classic Reprint)
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10.050000 USD

Complex Conics and Their Real Representation (Classic Reprint)

by Benjamin Ernest Mitchell
Paperback
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Cyclopedia of Drawing: A General Reference Work on Drawing and Allied Subjects for Architects, Mechanical Engineers, Draftsmen, Carpenters, Stone Cutters, Sheet Metal Workers, Teachers, Students, and All Others Interested in Drawing (Classic Reprint)
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17.400000 USD

Cyclopedia of Drawing: A General Reference Work on Drawing and Allied Subjects for Architects, Mechanical Engineers, Draftsmen, Carpenters, Stone Cutters, Sheet Metal Workers, Teachers, Students, and All Others Interested in Drawing (Classic Reprint)

by Alfred E Zapf
Paperback
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Newton's Principia: Sections I. II. III., with Notes and Illustrations, Also a Collection of Problems Principally Intended as Examples of Newton's Methods (Classic Reprint)
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14.250000 USD

Newton's Principia: Sections I. II. III., with Notes and Illustrations, Also a Collection of Problems Principally Intended as Examples of Newton's Methods (Classic Reprint)

by Percival Frost
Paperback
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Plane Trigonometry (Classic Reprint)
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20.550000 USD

Plane Trigonometry (Classic Reprint)

by S L Loney
Paperback
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Free-Hand Drawing: Light and Shade and Free-Hand Perspective for the Use of Art Students and Teachers (Classic Reprint)
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12.150000 USD

Free-Hand Drawing: Light and Shade and Free-Hand Perspective for the Use of Art Students and Teachers (Classic Reprint)

by Anson K Cross
Paperback
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A Collection of Cambridge Mathematical Examination Papers, Vol. 1: As Given at the Several Colleges (Classic Reprint)
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20.550000 USD

A Collection of Cambridge Mathematical Examination Papers, Vol. 1: As Given at the Several Colleges (Classic Reprint)

by J M F Wright
Paperback
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The Description, Nature, and General Use of the Sector and Plain-Scale, ... as Also a Short Account of the Uses of the Lines of Numbers, Artificial Sines, and Tangents. the Fourth Edition
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23.050000 USD

The Description, Nature, and General Use of the Sector and Plain-Scale, ... as Also a Short Account of the Uses of the Lines of Numbers, Artificial Sines, and Tangents. the Fourth Edition

by Edmund Stone
Hardback
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Gummere's Surveying: Revised and Adapted to Modern Methods (Classic Reprint)
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14.250000 USD

Gummere's Surveying: Revised and Adapted to Modern Methods (Classic Reprint)

by John Gummere
Paperback
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A Treatise on Spherical Trigonometry, Vol. 2: With Application to Spherical Geometry and Numerous Examples (Classic Reprint)
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11.520000 USD

A Treatise on Spherical Trigonometry, Vol. 2: With Application to Spherical Geometry and Numerous Examples (Classic Reprint)

by William J M'Clellan
Paperback
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Elements of Plain and Spherical Trigonometry: Together with the Principles of Spherick Geometry, and the Several Projections of the Sphere in Plano (Classic Reprint)
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14.250000 USD

Elements of Plain and Spherical Trigonometry: Together with the Principles of Spherick Geometry, and the Several Projections of the Sphere in Plano (Classic Reprint)

by Emeritus Professor John Harris
Paperback
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Practical Exercises in Geometry (Classic Reprint)
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14.250000 USD

Practical Exercises in Geometry (Classic Reprint)

by William Douglas Eggar
Paperback
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Solutions of the Cambridge Senate-House Problems for Four Years 1848-1851 (Classic Reprint)
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17.400000 USD

Solutions of the Cambridge Senate-House Problems for Four Years 1848-1851 (Classic Reprint)

by Norman MacLeod Ferrers
Paperback
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First Volume of the Instructions Given in the Drawing School Established by the Dublin-Society, Pursuant to Their Resolution of the Fourth of February, 1768; ... Under the Direction of Joseph Fenn, ... of 2; Volume 2
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31.450000 USD

First Volume of the Instructions Given in the Drawing School Established by the Dublin-Society, Pursuant to Their Resolution of the Fourth of February, 1768; ... Under the Direction of Joseph Fenn, ... of 2; Volume 2

by Joseph Fenn
Hardback
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Geometrical and Graphical Essays, Containing a Description of the Mathematical Instruments Used in Geometry, Civil and Military Surveying, Levelling and Perspective; With Many New Problems, Illustrative of Each Branch. by George Adams,
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32.500000 USD

Geometrical and Graphical Essays, Containing a Description of the Mathematical Instruments Used in Geometry, Civil and Military Surveying, Levelling and Perspective; With Many New Problems, Illustrative of Each Branch. by George Adams,

by George Adams
Hardback
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Plane and Spherical Trigonometry: An Elementary Text-Book (Classic Reprint)
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10.470000 USD

Plane and Spherical Trigonometry: An Elementary Text-Book (Classic Reprint)

by Charles H Ashton
Paperback
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Sciography, or Radial Projection of Shadows (Classic Reprint)
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10.050000 USD

Sciography, or Radial Projection of Shadows (Classic Reprint)

by R Campbell Puckett
Paperback
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On a Conjecture of Micha Perles (Classic Reprint)
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8.370000 USD

On a Conjecture of Micha Perles (Classic Reprint)

by Nagabhushana Prabhu
Paperback
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Ophthalmic Neuro-Myology: A Study of the Normal and Abnormal Actions of the Ocular Muscles from the Brain Side of the Question (Classic Reprint)
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12.150000 USD

Ophthalmic Neuro-Myology: A Study of the Normal and Abnormal Actions of the Ocular Muscles from the Brain Side of the Question (Classic Reprint)

by G C. Savage
Paperback
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Trigonometry for Beginners: With Numerous Examples (Classic Reprint)
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11.100000 USD

Trigonometry for Beginners: With Numerous Examples (Classic Reprint)

by I Todhunter
Paperback
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Graphical Solution of Fault Problems (Classic Reprint)
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10.050000 USD

Graphical Solution of Fault Problems (Classic Reprint)

by C F Tolman
Paperback
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A School Geometry: Parts III and IV, (Containing the Substance of Euclid Books II and III, and Part of Book IV.) (Classic Reprint)
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10.050000 USD

A School Geometry: Parts III and IV, (Containing the Substance of Euclid Books II and III, and Part of Book IV.) (Classic Reprint)

by H S Hall
Paperback
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Problems in Stone Cutting: In Four Classes for Students of Engineering and Architecture (Classic Reprint)
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10.050000 USD

Problems in Stone Cutting: In Four Classes for Students of Engineering and Architecture (Classic Reprint)

by S Edward Warren
Paperback
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