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Author : Amy Shell-Gellasch,Dick Jardine
Publisher : Cambridge University Press
Page : 276 pages
File Size : 44,9 Mb
Release : 2005
Category : Mathematics
ISBN : 0883851784
Classroom resource material allowing the integration of mathematics history into undergraduate mathematics teaching.
Author : Mark J. Christensen
Publisher : Elsevier
Page : 241 pages
File Size : 51,5 Mb
Release : 2014-05-10
Category : Mathematics
ISBN : 9781483271088
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.
Author : John Vince
Publisher : Springer
Page : 303 pages
File Size : 47,8 Mb
Release : 2019-03-12
Category : Computers
ISBN : 9783030113766
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.
Author : P. Lax,S. Burstein,A. Lax
Publisher : Springer
Page : 513 pages
File Size : 54,9 Mb
Release : 1983-12-21
Category : Mathematics
ISBN : 0387901795
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.
Author : Richard Wesley Hamming
Publisher : Unknown
Page : 96 pages
File Size : 52,6 Mb
Release : 1968
Category : Calculus
ISBN : STANFORD:36105032122645
Author : Lawrence G. Gilligan,James F. Marquardt
Publisher : Math Ware
Page : 170 pages
File Size : 41,6 Mb
Release : 1995
Category : Calculus
ISBN : 0962666181
Author : A. Ben-Israel,R. Gilbert
Publisher : Springer Science & Business Media
Page : 619 pages
File Size : 43,5 Mb
Release : 2012-12-06
Category : Computers
ISBN : 9783709161463
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.
Author : Jesus Martin Vaquero,Michael Carr,Araceli Quieruga-Dios,Daniela Richtarikova
Publisher : Academic Press
Page : 372 pages
File Size : 41,7 Mb
Release : 2020-08-10
Category : Mathematics
ISBN : 9780128172117
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
Author : Werner Kluge
Publisher : Springer Science & Business Media
Page : 382 pages
File Size : 42,8 Mb
Release : 2005-02-18
Category : Computers
ISBN : 9783540211464
The book emphasizes the design of full-fledged, fully normalizing lambda calculus machinery, as opposed to the just weakly normalizing machines.
Author : Staples George Stacey,Schott Rene
Publisher : World Scientific
Page : 428 pages
File Size : 51,5 Mb
Release : 2012-02-23
Category : Mathematics
ISBN : 9781908977571
This pioneering book presents a study of the interrelationships among operator calculus, graph theory, and quantum probability in a unified manner, with significant emphasis on symbolic computations and an eye toward applications in computer science.Presented in this book are new methods, built on the algebraic framework of Clifford algebras, for tackling important real world problems related, but not limited to, wireless communications, neural networks, electrical circuits, transportation, and the world wide web. Examples are put forward in Mathematica throughout the book, together with packages for performing symbolic computations.
Author : Mark J. Christensen
Publisher : Unknown
Page : 236 pages
File Size : 41,7 Mb
Release : 1981
Category : BASIC (Computer program language)
ISBN : 0123043654
Author : Barry Jay
Publisher : Springer Science & Business Media
Page : 217 pages
File Size : 52,6 Mb
Release : 2009-07-30
Category : Computers
ISBN : 9783540891857
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.
Author : A. Ben-Israel,R. Gilbert
Publisher : Unknown
Page : 630 pages
File Size : 46,7 Mb
Release : 2002-01-28
Category : Electronic
ISBN : 3709161479
Author : Sheldon P. Gordon
Publisher : Prindle Weber & Schmidt
Page : 264 pages
File Size : 42,9 Mb
Release : 1986
Category : Mathematics
ISBN : UVA:X001084187
Author : Andrew D. Hwang
Publisher : American Mathematical Soc.
Page : 304 pages
File Size : 42,7 Mb
Release : 2019-09-26
Category : Algebra
ISBN : 9781470449322
This book introduces students to the world of advanced mathematics using algebraic structures as a unifying theme. Having no prerequisites beyond precalculus and an interest in abstract reasoning, the book is suitable for students of math education, computer science or physics who are looking for an easy-going entry into discrete mathematics, induction and recursion, groups and symmetry, and plane geometry. In its presentation, the book takes special care to forge linguistic and conceptual links between formal precision and underlying intuition, tending toward the concrete, but continually aiming to extend students' comfort with abstraction, experimentation, and non-trivial computation. The main part of the book can be used as the basis for a transition-to-proofs course that balances theory with examples, logical care with intuitive plausibility, and has sufficient informality to be accessible to students with disparate backgrounds. For students and instructors who wish to go further, the book also explores the Sylow theorems, classification of finitely-generated Abelian groups, and discrete groups of Euclidean plane transformations.