The collected writings of John Maynard Keynes . Volume 5 A treatise on money : in two volumes . 1 The pure theory of money [[electronic resource]]

• Record Nr.: UNINA9910573824003321
• Autore: Keynes John Maynard <1883-1946, >
• Pubbl/distr/stampa: Cambridge : , : Cambridge University Press for the Royal Economic Society, , 2013
• ISBN: 1-139-52064-4
• Edizione: [[New edition].]
• Descrizione fisica: 1 online resource (xxvii, 336 pages) : digital, PDF file(s)
• Collana: The collected writings of John Maynard Keynes
• Disciplina: 332.4
• Soggetti: Money; Banks and banking
• Lingua di pubblicazione: Inglese
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Note generali: Title from publisher's bibliographic system (viewed on 02 Oct 2015).
• Sommario/riassunto: A Treatise on Money, completed in 1930, was the outcome of six years of intensive work and argument with D. H. Robertson, R. G. Hawtrey and others. As in the Tract on Monetary Reform, the central concerns of the Treatise are the causes and consequences of changes in the value of money and the means of controlling such changes to increase well-being. The analysis is, however, considerably more complex and the applied statistical work much more elaborate. The Treatise has long been of interest amongst economists, as a precursor of the General Theory, as an important discussion of the mechanics of inflationary and deflationary processes and as an important statement of the problems of national autonomy in the international economy. This edition provides a new edition of the original, corrected on the basis of Keynes's correspondence with other economists and translators. It also provides the prefaces to foreign editions.

Mathematical structures for computer graphics / / Steven J. Janke

• Record Nr.: UNINA9911099957603321
• Pubbl/distr/stampa: Hoboken, N.J., : Wiley, c2015
• ISBN: 1-118-71212-9; 1-118-71198-X; 9781118712122
• Descrizione fisica: 1 online resource (xv, 392 pages) : illustrations
• Classificazione: 007.642; 006.601/51
• Disciplina: 006.601/51
• Soggetti: Computer graphics -- Mathematics; Three-dimensional imaging -- Mathematics; Computers -- Programming -- Games
• Lingua di pubblicazione: Inglese
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Note generali: Includes bibliographical references and index
• Nota di bibliografia: Includes bibliographical references and index.
• Nota di contenuto: Preface iii -- 1 Basics -- 1 1.1 Graphics Pipeline -- 2 1.2 Mathematical Descriptions -- 5 1.3 Position -- 6 1.4 Distance -- 9 1.5 Complements and Detail -- 13 1.6 Exercises -- 17 2 Vector Algebra -- 21 2.1 Basic Vector Characteristics -- 22 2.2 Two Important Products -- 31 2.3 Complements and Details -- 42 2.4 Exercises -- 46 3 Vector Geometry -- 49 3.1 Lines & Planes -- 49 3.2 Distances -- 55 3.3 Angles -- 63 3.4 Intersections -- 65 3.5 Additional Key Applications -- 73 3.6 Homogeneous Coordinates -- 86 3.7 Complements and Details -- 90 3.8 Exercises -- 94 4 Transformations -- 99 4.1 Types of Transformations -- 100 4.2 Linear Transformations -- 101 4.3 Three dimensions -- 113 4.4 Affine Transformations -- 123 4.5 Complements and Details -- 134 4.6 Exercises -- 145 5 Orientation -- 149 5.1 Cartesian Coordinate Systems -- 151 5.2 Cameras -- 159 5.3 Other Coordinate Systems -- 182 5.4 Complements and Details -- 190 5.5 Exercises -- 193 6 Polygons & Polyhedra -- 197 6.1 Triangles -- 197 6.2 Polygons -- 213 6.3 Polyhedra -- 230 6.4 Complements and Details -- 245 6.5 Exercises -- 250 7 Curves & Surfaces -- 255 7.1 Curve Descriptions -- 256 7.2 Bezier Curves -- 268 7.3 B-Splines -- 278 7.4 NURBS -- 295 7.5 Surfaces -- 300 7.6 Complements and ; Details -- 311 7.7 Exercises -- 316 8 Visibility -- 321 8.1 Viewing -- 321 8.2 Perspective Transformation -- 323 8.3 Hidden Surfaces -- 333 8.4 Ray Tracing -- 344 8.5 Complements and Details -- 351 8.6 Exercises -- 356 9 Lighting -- 359 9.1 Color Coordinates -- 359 9.2 Elementary Lighting Models -- 364 9.3 Global Illumination -- 384 9.4 Textures -- 391 9.5 Complements and Details -- 403 9.6 Exercises -- 408 10 Other Paradigms -- 411 10.1 Pixels -- 412 10.2 Noise -- 421 10.3 L-Systems -- 435 10.4 Exercises -- 443 A Geometry & Trigonometry -- 447 A.1 Triangles -- 447 A.2 Angles -- 449 A.3 Trigonometric Functions -- 450 B Linear Algebra -- 455 B.1 Systems of Linear Equations -- 455 B.2 Matrix Properties -- 458 B.3 Vector Spaces 460.
• Sommario/riassunto: This book is for readers who wish to understand the mathematical tools that are necessary to produce three-dimensional models and the resulting screen images. Written by an academic with over 20 years of teaching experience, the intent of the book is to show relevant and focused mathematical derivations that help students understand computer graphics. Intuitive, rather than just theorem/proof discussions set the tone for the presentation. Some algebra, high-school geometry, and trigonometry are presumed for adequate comprehension. Notions of why results are important give the reader a sense of ownership and application. Chapters are written in a two-tiered style so as to allow for flexibility in the level of mathematics desired. Two- and three-dimensional vector geometry is covered using transforms, curves, and surfaces. More focused graphics topics like perspective with the accompanying projective geometry, polyhedral as building blocks for objects, and ray retracing help pull the vector technique together. An assortment of other topics helps round-out the discussion. These include noise, randomness, and L-systems. Plentiful exercises are showcased throughout. An author-maintained web site includes further computer programming notes and solutions to selected exercises".