Calculus And The Computer

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Calculus and the Computer Revolution

Author : Richard Wesley Hamming
Publisher : Unknown
Page : 96 pages
File Size : 46,6 Mb
Release : 1968
Category : Calculus
ISBN : STANFORD:36105032122645

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Calculus and the Computer Revolution by Richard Wesley Hamming Pdf

Calculus and the Computer

Author : Sheldon P. Gordon
Publisher : Prindle Weber & Schmidt
Page : 264 pages
File Size : 40,8 Mb
Release : 1986
Category : Mathematics
ISBN : UVA:X001084187

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Calculus and the Computer by Sheldon P. Gordon Pdf

Calculus for Computer Graphics

Author : John Vince
Publisher : Springer
Page : 303 pages
File Size : 46,5 Mb
Release : 2019-03-12
Category : Computers
ISBN : 9783030113766

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Calculus for Computer Graphics by John Vince Pdf

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.

Calculus and the Computer

Author : William F. Oberle
Publisher : Addison-Wesley
Page : 551 pages
File Size : 42,7 Mb
Release : 1986-01-01
Category : Mathematics
ISBN : 020115983X

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Calculus and the Computer by William F. Oberle Pdf

From Calculus to Computers

Author : Amy Shell-Gellasch,Dick Jardine
Publisher : Cambridge University Press
Page : 276 pages
File Size : 50,8 Mb
Release : 2005
Category : Mathematics
ISBN : 0883851784

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From Calculus to Computers by Amy Shell-Gellasch,Dick Jardine Pdf

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

Computer-Supported Calculus

Author : A. Ben-Israel,R. Gilbert
Publisher : Unknown
Page : 630 pages
File Size : 54,5 Mb
Release : 2002-01-28
Category : Electronic
ISBN : 3709161479

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Computer-Supported Calculus by A. Ben-Israel,R. Gilbert Pdf

Calculus and the DERIVE Program

Author : Lawrence G. Gilligan,James F. Marquardt
Publisher : Math Ware
Page : 170 pages
File Size : 40,9 Mb
Release : 1995
Category : Calculus
ISBN : 0962666181

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Calculus and the DERIVE Program by Lawrence G. Gilligan,James F. Marquardt Pdf

Computing for Calculus

Author : Mark J. Christensen
Publisher : Elsevier
Page : 241 pages
File Size : 49,6 Mb
Release : 2014-05-10
Category : Mathematics
ISBN : 9781483271088

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Computing for Calculus by Mark J. Christensen Pdf

Computing for Calculus focuses on BASIC as the computer language used for solving calculus problems. This book discusses the input statement for numeric variables, advanced intrinsic functions, numerical estimation of limits, and linear approximations and tangents. The elementary estimation of areas, numerical and string arrays, line drawing algorithms, and bisection and secant method are also elaborated. This text likewise covers the implicit functions and differentiation, upper and lower rectangular estimates, Simpson's rule and parabolic approximation, and interpolating polynomials. Other topics include the Taylor polynomials, estimating the limit of a sequence, infinite series, and level curves and central projection of surfaces. This publication is beneficial to math students and specialists who use computer languages for educational purposes.

Computer-Supported Calculus

Author : A. Ben-Israel,R. Gilbert
Publisher : Springer Science & Business Media
Page : 619 pages
File Size : 44,6 Mb
Release : 2012-12-06
Category : Computers
ISBN : 9783709161463

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Computer-Supported Calculus by A. Ben-Israel,R. Gilbert Pdf

This is a new type of calculus book: Students who master this text will be well versed in calculus and, in addition, possess a useful working knowledge of one of the most important mathematical software systems, namely, MACSYMA. This will equip them with the mathematical competence they need for science and engi neering and the competitive workplace. The choice of MACSYMA is not essential for the didactic goal of the book. In fact, any of the other major mathematical software systems, e. g. , AXIOM, MATHEMATICA, MAPLE, DERIVE, or REDUCE, could have been taken for the examples and for acquiring the skill in using these systems for doing mathematics on computers. The symbolic and numerical calcu lations described in this book will be easily performed in any of these systems by slight modification of the syntax as soon as the student understands and masters the MACSYMA examples in this book. What is important, however, is that the student gets all the information necessary to design and execute the calculations in at least one concrete implementation language as this is done in this book and also that the use of the mathematical software system is completely integrated with the text. In these times of globalization, firms which are unable to hire adequately trained technology experts will not prosper. For corporations which depend heavily on sci ence and engineering, remaining competitive in the global economy will require hiring employees having had a traditionally rigorous mathematical education.

Calculus with the Computer

Author : L. Carl Leinbach
Publisher : Unknown
Page : 228 pages
File Size : 54,6 Mb
Release : 1974
Category : Mathematics
ISBN : STANFORD:36105031644730

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Calculus with the Computer by L. Carl Leinbach Pdf

Stochastic Network Calculus

Author : Yuming Jiang,Yong Liu
Publisher : Springer Science & Business Media
Page : 240 pages
File Size : 41,6 Mb
Release : 2009-03-01
Category : Computers
ISBN : 9781848001275

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Stochastic Network Calculus by Yuming Jiang,Yong Liu Pdf

Network calculus is a theory dealing with queuing systems found in computer networks. Its focus is on performance guarantees. Central to the theory is the use of alternate algebras such as the min-plus algebra to transform complex network systems into analytically tractable systems. To simplify the ana- sis, another idea is to characterize tra?c and service processes using various bounds. Since its introduction in the early 1990s, network calculus has dev- oped along two tracks—deterministic and stochastic. This book is devoted to summarizing results for stochastic network calculus that can be employed in the design of computer networks to provide stochastic service guarantees. Overview and Goal Like conventional queuing theory, stochastic network calculus is based on properly de?ned tra?c models and service models. However, while in c- ventional queuing theory an arrival process is typically characterized by the inter-arrival times of customers and a service process by the service times of customers, the arrival process and the service process are modeled in n- work calculus respectively by some arrival curve that (maybe probabilis- cally) upper-bounds the cumulative arrival and by some service curve that (maybe probabilistically) lower-bounds the cumulative service. The idea of usingboundstocharacterizetra?candservicewasinitiallyintroducedfor- terministic network calculus. It has also been extended to stochastic network calculus by exploiting the stochastic nature of arrival and service processes.

Network Calculus

Author : Jean-Yves Le Boudec,Patrick Thiran
Publisher : Springer
Page : 276 pages
File Size : 48,8 Mb
Release : 2003-08-06
Category : Computers
ISBN : 9783540453185

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Network Calculus by Jean-Yves Le Boudec,Patrick Thiran Pdf

Network Calculus is a set of recent developments that provide deep insights into flow problems encountered in the Internet and in intranets. The first part of the book is a self-contained, introductory course on network calculus. It presents the core of network calculus, and shows how it can be applied to the Internet to obtain results that have physical interpretations of practical importance to network engineers. The second part serves as a mathematical reference used across the book. It presents the results from Min-plus algebra needed for network calculus. The third part contains more advanced material. It is appropriate reading for a graduate course and a source of reference for professionals in networking by surveying the state of the art of research and pointing to open problems in network calculus and its application in different fields, such as mulitmedia smoothing, aggegate scheduling, adaptive guarantees in Internet differential services, renegotiated reserved services, etc.

Calculus for Engineering Students

Author : Jesus Martin Vaquero,Michael Carr,Araceli Quieruga-Dios,Daniela Richtarikova
Publisher : Academic Press
Page : 372 pages
File Size : 45,7 Mb
Release : 2020-08-10
Category : Mathematics
ISBN : 9780128172117

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Calculus for Engineering Students by Jesus Martin Vaquero,Michael Carr,Araceli Quieruga-Dios,Daniela Richtarikova Pdf

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

Interface

Author : David A. Smith
Publisher : Unknown
Page : 278 pages
File Size : 44,6 Mb
Release : 1984
Category : Mathematics
ISBN : STANFORD:36105032843968

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Interface by David A. Smith Pdf

Calculus with Computer Applications

Author : R. V. Lynch,Kuller
Publisher : Unknown
Page : 964 pages
File Size : 50,6 Mb
Release : 1973
Category : Electronic
ISBN : 0471009091

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Calculus with Computer Applications by R. V. Lynch,Kuller Pdf