Computing For Calculus

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Computing for Calculus

Author : Mark J. Christensen
Publisher : Unknown
Page : 236 pages
File Size : 48,5 Mb
Release : 1981
Category : BASIC (Computer program language)
ISBN : 0123043654

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Computing for Calculus by Mark J. Christensen Pdf

Advanced Calculus

Author : Lynn Harold Loomis,Shlomo Sternberg
Publisher : World Scientific Publishing Company
Page : 596 pages
File Size : 47,7 Mb
Release : 2014-02-26
Category : Mathematics
ISBN : 9789814583954

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Advanced Calculus by Lynn Harold Loomis,Shlomo Sternberg Pdf

An authorised reissue of the long out of print classic textbook, Advanced Calculus by the late Dr Lynn Loomis and Dr Shlomo Sternberg both of Harvard University has been a revered but hard to find textbook for the advanced calculus course for decades. This book is based on an honors course in advanced calculus that the authors gave in the 1960's. The foundational material, presented in the unstarred sections of Chapters 1 through 11, was normally covered, but different applications of this basic material were stressed from year to year, and the book therefore contains more material than was covered in any one year. It can accordingly be used (with omissions) as a text for a year's course in advanced calculus, or as a text for a three-semester introduction to analysis. The prerequisites are a good grounding in the calculus of one variable from a mathematically rigorous point of view, together with some acquaintance with linear algebra. The reader should be familiar with limit and continuity type arguments and have a certain amount of mathematical sophistication. As possible introductory texts, we mention Differential and Integral Calculus by R Courant, Calculus by T Apostol, Calculus by M Spivak, and Pure Mathematics by G Hardy. The reader should also have some experience with partial derivatives. In overall plan the book divides roughly into a first half which develops the calculus (principally the differential calculus) in the setting of normed vector spaces, and a second half which deals with the calculus of differentiable manifolds.

Calculus for Computer Graphics

Author : John Vince
Publisher : Springer
Page : 303 pages
File Size : 40,6 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 with Applications and Computing

Author : Peter D. Lax,Samuel Z. Burstein,Anneli Lax
Publisher : Unknown
Page : 582 pages
File Size : 45,9 Mb
Release : 1972
Category : Calculus
ISBN : UVA:X001473617

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Calculus with Applications and Computing by Peter D. Lax,Samuel Z. Burstein,Anneli Lax Pdf

Computer-Supported Calculus

Author : A. Ben-Israel,R. Gilbert
Publisher : Springer Science & Business Media
Page : 619 pages
File Size : 52,9 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.

From Calculus to Computers

Author : Amy Shell-Gellasch,Dick Jardine
Publisher : Cambridge University Press
Page : 276 pages
File Size : 52,8 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.

Calculus for Engineering Students

Author : Jesus Martin Vaquero,Michael Carr,Araceli Quieruga-Dios,Daniela Richtarikova
Publisher : Academic Press
Page : 372 pages
File Size : 52,7 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

Pattern Calculus

Author : Barry Jay
Publisher : Springer Science & Business Media
Page : 217 pages
File Size : 49,9 Mb
Release : 2009-07-30
Category : Computers
ISBN : 9783540891857

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Pattern Calculus by Barry Jay Pdf

Over time, basic research tends to lead to specialization – increasingly narrow t- ics are addressed by increasingly focussed communities, publishing in increasingly con ned workshops and conferences, discussing increasingly incremental contri- tions. Already the community of programming languages is split into various s- communities addressing different aspects and paradigms (functional, imperative, relational, and object-oriented). Only a few people manage to maintain a broader view, and even fewer step back in order to gain an understanding about the basic principles, their interrelation, and their impact in a larger context. The pattern calculus is the result of a profound re-examination of a 50-year - velopment. It attempts to provide a unifying approach, bridging the gaps between different programming styles and paradigms according to a new slogan – compu- tion is pattern matching. It is the contribution of this book to systematically and elegantly present and evaluate the power of pattern matching as the guiding paradigm of programming. Patterns are dynamically generated, discovered, passed, applied, and automatically adapted, based on pattern matching and rewriting technology, which allows one to elegantly relate things as disparate as functions and data structures. Of course, pattern matching is not new. It underlies term rewriting – it is, for example, inc- porated in, typically functional, programming languages, like Standard ML – but it has never been pursued as the basis of a unifying framework for programming.

Computer-Supported Calculus

Author : A. Ben-Israel,R. Gilbert
Publisher : Unknown
Page : 630 pages
File Size : 51,8 Mb
Release : 2002-01-28
Category : Electronic
ISBN : 3709161479

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

Abstract Computing Machines

Author : Werner Kluge
Publisher : Springer Science & Business Media
Page : 382 pages
File Size : 43,6 Mb
Release : 2005-02-18
Category : Computers
ISBN : 9783540211464

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Abstract Computing Machines by Werner Kluge Pdf

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

Calculus with Applications and Computing

Author : P. Lax,S. Burstein,A. Lax
Publisher : Springer
Page : 513 pages
File Size : 53,6 Mb
Release : 1983-12-21
Category : Mathematics
ISBN : 0387901795

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Calculus with Applications and Computing by P. Lax,S. Burstein,A. Lax Pdf

Mathematics is vigorously and brilliantly pursued in our time on a very broad front; yet the authors of this text feel that not enough mathematical talent is devoted to furthering the interaction of mathematics with other sciences and disciplines. This imbalance is harmful to both mathematics and its users; to redress this imbalance is an educational task which must start at the beginning of the college curriculum. No course is more suited for this than the calculus; there students can learn at first hand that mathe matics is the language in which scientific ideas can be precisely formulated, that science is a source of mathematical ideas which profoundly shape the development of mathematics, and last but not least that mathematics can furnish brilliant answers to important scientific problems. Our purpose in writing this text has been to emphasize this relation of calculus to science. We hope to accomplish this by devoting whole connected chapters to single-or several related-scientific topics, letting the reader observe how the notions of calculus are used to formulate the basic laws of science and how the methods of calculus are used to deduce consequences of those basic laws. Thus the student sees calculus at work on worthwhile tasks.

Calculus

Author : Gilbert Strang,Edwin Prine Herman
Publisher : Unknown
Page : 824 pages
File Size : 52,7 Mb
Release : 2016-03-07
Category : Calculus
ISBN : 1938168062

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Calculus by Gilbert Strang,Edwin Prine Herman Pdf

"Published by OpenStax College, Calculus is designed for the typical two- or three-semester general calculus course, incorporating innovative features to enhance student learning. The book guides students through the core concepts of calculus and helps them understand how those concepts apply to their lives and the world around them. Due to the comprehensive nature of the material, we are offering the book in three volumes for flexibility and efficiency. Volume 2 covers integration, differential equations, sequences and series, and parametric equations and polar coordinates."--BC Campus website.

Basic Computing for Calculus

Author : Ronald I. Rothenberg
Publisher : McGraw-Hill Companies
Page : 309 pages
File Size : 46,6 Mb
Release : 1985
Category : Mathematics
ISBN : 007054011X

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Basic Computing for Calculus by Ronald I. Rothenberg Pdf

Calculus and the Computer

Author : Sheldon P. Gordon
Publisher : Prindle Weber & Schmidt
Page : 264 pages
File Size : 53,8 Mb
Release : 1986
Category : Mathematics
ISBN : UVA:X001084187

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Calculus and the Computer by Sheldon P. Gordon Pdf

Computing in BASIC for Calculus

Author : Granville C. Henry,Laurence D. Hoffmann
Publisher : Unknown
Page : 141 pages
File Size : 49,9 Mb
Release : 1983-01-01
Category : BASIC (Computer program language)
ISBN : 0070293236

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Computing in BASIC for Calculus by Granville C. Henry,Laurence D. Hoffmann Pdf