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From Calculus To Computers


From Calculus To Computers
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From Calculus To Computers


From Calculus To Computers
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Author : Amy Shell-Gellasch
language : en
Publisher: Cambridge University Press
Release Date : 2005

From Calculus To Computers written by Amy Shell-Gellasch and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005 with Mathematics categories.


Classroom resource material allowing the integration of mathematics history into undergraduate mathematics teaching.



Calculus For Computer Graphics


Calculus For Computer Graphics
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Author : John Vince
language : en
Publisher: Springer
Release Date : 2019-03-12

Calculus For Computer Graphics written by John Vince and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-03-12 with Computers categories.


Students studying different branches of computer graphics have to be familiar with geometry, matrices, vectors, rotation transforms, quaternions, curves and surfaces and as computer graphics software becomes increasingly sophisticated, calculus is also being used to resolve its associated problems. In this 2nd edition, the author extends the scope of the original book to include applications of calculus in the areas of arc-length parameterisation of curves, geometric continuity, tangent and normal vectors, and curvature. The author draws upon his experience in teaching mathematics to undergraduates to make calculus appear no more challenging than any other branch of mathematics. He introduces the subject by examining how functions depend upon their independent variables, and then derives the appropriate mathematical underpinning and definitions. This gives rise to a function’s derivative and its antiderivative, or integral. Using the idea of limits, the reader is introduced to derivatives and integrals of many common functions. Other chapters address higher-order derivatives, partial derivatives, Jacobians, vector-based functions, single, double and triple integrals, with numerous worked examples, and over a hundred and seventy colour illustrations. This book complements the author’s other books on mathematics for computer graphics, and assumes that the reader is familiar with everyday algebra, trigonometry, vectors and determinants. After studying this book, the reader should understand calculus and its application within the world of computer graphics, games and animation.



Mathematical Computing


Mathematical Computing
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Author : David Betounes
language : en
Publisher: Springer Science & Business Media
Release Date : 2001-12-07

Mathematical Computing written by David Betounes and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001-12-07 with Computers categories.


This book teaches introductory computer programming using Maple, offering more mathematically oriented exercises and problems than those found in traditional programming courses, while reinforcing and applying concepts and techniques of calculus. Includes case studies.



What Computing Is All About


What Computing Is All About
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Author : Jan L.A.van de Snepscheut
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

What Computing Is All About written by Jan L.A.van de Snepscheut and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Computers categories.


I have always been fascinated with engineering. From Roman bridges and jumbo jets to steam engines and CD players, it is the privilege of the en gineer to combine scientific insights and technical possibilities into useful and elegant products. Engineers get a great deal of satisfaction from the usefulness and beauty of their designs. Some of these designs have a major impact on our daily lives, others enable further scientific insights or shift limits of technology. The successful engineer is familiar with the scientific basis of the field and the technology of the components, and has an eye for the envisioned applications. For example, to build an airplane, one had better understand the physics of motion, the structural properties of alu minum, and the size of passengers. And the physics of motion requires a mastery of mathematics, in particular calculus. Computers are a marvel of modern engineering. They come in a wide variety and their range of applications seems endless. One of the charac teristics that makes computers different from other engineering products is their programmability. Dishwashers have some limited programming capa is not the key part of the device. Their essential part is some bility, but it enclosed space where the dishes are stored and flushed with hot water. Computers are embedded in many different environments, but in their case the programming capability is the essential part. All computers are programmed in more or less the same way.



Calculus For Engineering Students


Calculus For Engineering Students
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Author : Jesus Martin Vaquero
language : en
Publisher: Academic Press
Release Date : 2020-08-10

Calculus For Engineering Students written by Jesus Martin Vaquero and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-08-10 with Mathematics categories.


Calculus for Engineering Students: Fundamentals, Real Problems, and Computers insists that mathematics cannot be separated from chemistry, mechanics, electricity, electronics, automation, and other disciplines. It emphasizes interdisciplinary problems as a way to show the importance of calculus in engineering tasks and problems. While concentrating on actual problems instead of theory, the book uses Computer Algebra Systems (CAS) to help students incorporate lessons into their own studies. Assuming a working familiarity with calculus concepts, the book provides a hands-on opportunity for students to increase their calculus and mathematics skills while also learning about engineering applications. - Organized around project-based rather than traditional homework-based learning - Reviews basic mathematics and theory while also introducing applications - Employs uniform chapter sections that encourage the comparison and contrast of different areas of engineering



Abstract Computing Machines


Abstract Computing Machines
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Author : Werner Kluge
language : en
Publisher: Springer Science & Business Media
Release Date : 2005-02-18

Abstract Computing Machines written by Werner Kluge and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-02-18 with Computers categories.


The book emphasizes the design of full-fledged, fully normalizing lambda calculus machinery, as opposed to the just weakly normalizing machines.



Comprehensive Mathematics For Computer Scientists 1


Comprehensive Mathematics For Computer Scientists 1
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Author : Guerino Mazzola
language : en
Publisher: Springer Science & Business Media
Release Date : 2006-10-05

Comprehensive Mathematics For Computer Scientists 1 written by Guerino Mazzola and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-10-05 with Computers categories.


Contains all the mathematics that computer scientists need to know in one place.



Foundation Mathematics For Computer Science


Foundation Mathematics For Computer Science
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Author : John Vince
language : en
Publisher: Springer
Release Date : 2015-07-27

Foundation Mathematics For Computer Science written by John Vince and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-07-27 with Computers categories.


John Vince describes a range of mathematical topics to provide a foundation for an undergraduate course in computer science, starting with a review of number systems and their relevance to digital computers, and finishing with differential and integral calculus. Readers will find that the author's visual approach will greatly improve their understanding as to why certain mathematical structures exist, together with how they are used in real-world applications. Each chapter includes full-colour illustrations to clarify the mathematical descriptions, and in some cases, equations are also coloured to reveal vital algebraic patterns. The numerous worked examples will consolidate comprehension of abstract mathematical concepts. Foundation Mathematics for Computer Science covers number systems, algebra, logic, trigonometry, coordinate systems, determinants, vectors, matrices, geometric matrix transforms, differential and integral calculus, and reveals the names of the mathematicians behind such inventions. During this journey, John Vince touches upon more esoteric topics such as quaternions, octonions, Grassmann algebra, Barycentric coordinates, transfinite sets and prime numbers. Whether you intend to pursue a career in programming, scientific visualisation, systems design, or real-time computing, you should find the author’s literary style refreshingly lucid and engaging, and prepare you for more advanced texts.



Mathematics For Computer Graphics


Mathematics For Computer Graphics
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Author : John Vince
language : en
Publisher: Springer Science & Business Media
Release Date : 2005-11-09

Mathematics For Computer Graphics written by John Vince and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-11-09 with Computers categories.


This is a concise and informal introductory book on the mathematical concepts that underpin computer graphics. The author, John Vince, makes the concepts easy to understand, enabling non-experts to come to terms with computer animation work. The book complements the author's other works and is written in the same accessible and easy-to-read style. It is also a useful reference book for programmers working in the field of computer graphics, virtual reality, computer animation, as well as students on digital media courses, and even mathematics courses.



Lambda Calculus Combinators And Functional Programming


Lambda Calculus Combinators And Functional Programming
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Author : G. E. Revesz
language : en
Publisher: Cambridge University Press
Release Date : 2009-06-25

Lambda Calculus Combinators And Functional Programming written by G. E. Revesz and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-06-25 with Computers categories.


Originally published in 1988, this book presents an introduction to lambda-calculus and combinators without getting lost in the details of mathematical aspects of their theory. Lambda-calculus is treated here as a functional language and its relevance to computer science is clearly demonstrated. The main purpose of the book is to provide computer science students and researchers with a firm background in lambda-calculus and combinators and show the applicabillity of these theories to functional programming. The presentation of the material is self-contained. It can be used as a primary text for a course on functional programming. It can also be used as a supplementary text for courses on the structure and implementation of programming languages, theory of computing, or semantics of programming languages.