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Author : Lawrence G. Gilligan,James F. Marquardt, Sr.
Publisher : Unknown
Page : 144 pages
File Size : 48,7 Mb
Release : 1990-05-01
Category : Electronic
ISBN : 0962666106
Author : Lynn Harold Loomis,Shlomo Sternberg
Publisher : World Scientific Publishing Company
Page : 596 pages
File Size : 53,6 Mb
Release : 2014-02-26
Category : Mathematics
ISBN : 9789814583954
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.
Author : James R. Kirkwood
Publisher : WCB/McGraw-Hill
Page : 190 pages
File Size : 54,8 Mb
Release : 1994
Category : Mathematics
ISBN : 0697167372
A series of projects using DERIVE software, which aim to make calculus more relevant, and give students an understanding of key concepts in calculus.
Author : Lawrence G. Gilligan,James F. Marquardt
Publisher : Gilmar Publishing Company
Page : 168 pages
File Size : 47,5 Mb
Release : 1991
Category : Computers
ISBN : PSU:000016889460
Author : Edsger W. Dijkstra,Carel S. Scholten
Publisher : Springer Science & Business Media
Page : 234 pages
File Size : 52,5 Mb
Release : 2012-12-06
Category : Computers
ISBN : 9781461232285
This booklet presents a reasonably self-contained theory of predicate trans former semantics. Predicate transformers were introduced by one of us (EWD) as a means for defining programming language semantics in a way that would directly support the systematic development of programs from their formal specifications. They met their original goal, but as time went on and program derivation became a more and more formal activity, their informal introduction and the fact that many of their properties had never been proved became more and more unsatisfactory. And so did the original exclusion of unbounded nondeterminacy. In 1982 we started to remedy these shortcomings. This little monograph is a result of that work. A possible -and even likely- criticism is that anyone sufficiently versed in lattice theory can easily derive all of our results himself. That criticism would be correct but somewhat beside the point. The first remark is that the average book on lattice theory is several times fatter (and probably less self contained) than this booklet. The second remark is that the predicate transformer semantics provided only one of the reasons for going through the pains of publication.
Author : Gilbert Strang,Edwin Prine Herman
Publisher : Unknown
Page : 824 pages
File Size : 55,7 Mb
Release : 2016-03-07
Category : Calculus
ISBN : 1938168062
"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.
Author : John Vince
Publisher : Springer
Page : 303 pages
File Size : 44,8 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 : Amit Saha
Publisher : No Starch Press
Page : 264 pages
File Size : 40,9 Mb
Release : 2015-08-01
Category : Computers
ISBN : 9781593277192
Doing Math with Python shows you how to use Python to delve into high school–level math topics like statistics, geometry, probability, and calculus. You’ll start with simple projects, like a factoring program and a quadratic-equation solver, and then create more complex projects once you’ve gotten the hang of things. Along the way, you’ll discover new ways to explore math and gain valuable programming skills that you’ll use throughout your study of math and computer science. Learn how to: –Describe your data with statistics, and visualize it with line graphs, bar charts, and scatter plots –Explore set theory and probability with programs for coin flips, dicing, and other games of chance –Solve algebra problems using Python’s symbolic math functions –Draw geometric shapes and explore fractals like the Barnsley fern, the Sierpinski triangle, and the Mandelbrot set –Write programs to find derivatives and integrate functions Creative coding challenges and applied examples help you see how you can put your new math and coding skills into practice. You’ll write an inequality solver, plot gravity’s effect on how far a bullet will travel, shuffle a deck of cards, estimate the area of a circle by throwing 100,000 "darts" at a board, explore the relationship between the Fibonacci sequence and the golden ratio, and more. Whether you’re interested in math but have yet to dip into programming or you’re a teacher looking to bring programming into the classroom, you’ll find that Python makes programming easy and practical. Let Python handle the grunt work while you focus on the math. Uses Python 3
Author : Ramadoni Ramadoni,Satrio Junaidi
Publisher : PT. Sonpedia Publishing Indonesia
Page : 121 pages
File Size : 47,8 Mb
Release : 2024-03-24
Category : Mathematics
ISBN : 9786238598113
The book contains material on real systems and functions, limits and continuity, differentiation, higher derivatives, triangular derivatives, maxima and minima, applying differentiation to real problems, drawing graphs using the concept of differentiation. Each chapter also includes a differential problem solved using the Python Programming Language. The author hopes that students who use this book will find it easy to understand the calculus lecture material. For this reason, the author presents the material in detail, starting with concepts, examples, and exercises for each material. As this book may have flaws, the author is open to criticism and suggestions from readers to further improve this book. Author hopes that this book will help readers deepen their understanding of mathematics, algorithms and programming.
Author : Anonim
Publisher : Thomson Brooks/Cole
Page : 208 pages
File Size : 55,8 Mb
Release : 1999-01-01
Category : Calculus
ISBN : 0534364322
Introduces DERIVE, a software tool for mathematical computation and visualization, to students who are simultaneously taking first year calculus and using James Stewart's Calculus. Early chapters read like a standard text and introduce the use of DERIVE with examples and exercises. Later chapters contain 20 student projects of varying levels. For a calculus course that involves at least one computer lab contact hour per week.
Author : Gregory V. Bard
Publisher : American Mathematical Soc.
Page : 3520 pages
File Size : 50,8 Mb
Release : 2015-02-16
Category : Mathematics
ISBN : 9781470411114
As the open-source and free competitor to expensive software like MapleTM, Mathematica®, Magma, and MATLAB®, Sage offers anyone with access to a web browser the ability to use cutting-edge mathematical software and display his or her results for others, often with stunning graphics. This book is a gentle introduction to Sage for undergraduate students toward the end of Calculus II (single-variable integral calculus) or higher-level course work such as Multivariate Calculus, Differential Equations, Linear Algebra, or Math Modeling. The book assumes no background in computer science, but the reader who finishes the book will have learned about half of a first semester Computer Science I course, including large parts of the Python programming language. The audience of the book is not only math majors, but also physics, engineering, finance, statistics, chemistry, and computer science majors.
Author : Oliver Aberth
Publisher : Academic Press
Page : 212 pages
File Size : 44,7 Mb
Release : 2001-06-04
Category : Mathematics
ISBN : 0120417529
Computable Calculus treats the fundamental topic of calculus in a novel way that is more in tune with today's computer age. Comprising 11 chapters and an accompanying CD-ROM, the book presents mathematical analysis that has been created to deal with constructively defined concepts. The book's "show your work" approach makes it easier to understand the pitfalls of various computations and, more importantly, how to avoid these pitfalls. The accompanying CD-ROM has self-contained programs that interact with the text, providing for easy grasp of the new concepts and enabling readers to write their own demonstration programs. Contains software on CD ROM: The accompanying software demonstrates, through simulation and exercises, how each concept of calculus can be associated with a program for the 'ideal computer' Using this software readers will be able to write their own demonstration programs
Author : Gerard O'Regan
Publisher : Springer Nature
Page : 538 pages
File Size : 54,7 Mb
Release : 2023-05-04
Category : Computers
ISBN : 9783031262128
This textbook presents an introduction to the mathematical foundations of software engineering. It presents the rich applications of mathematics in areas such as error-correcting codes, cryptography, the safety and security critical fields, the banking and insurance fields, as well as traditional engineering applications. Topics and features: Addresses core mathematics for critical thinking and problem solving Discusses propositional and predicate logic and various proof techniques to demonstrate the correctness of a logical argument. Examines number theory and its applications to cryptography Considers the underlying mathematics of error-correcting codes Discusses graph theory and its applications to modelling networks Reviews tools to support software engineering mathematics, including automated and interactive theorem provers and model checking Discusses financial software engineering, including simple and compound interest, probability and statistics, and operations research Discusses software reliability and dependability and explains formal methods used to derive a program from its specification Discusses calculus, matrices, vectors, complex numbers, and quaternions, as well as applications to graphics and robotics Includes key learning topics, summaries, and review questions in each chapter, together with a useful glossary This practical and easy-to-follow textbook/reference is ideal for computer science students seeking to learn how mathematics can assist them in building high-quality and reliable software on time and on budget. The text also serves as an excellent self-study primer for software engineers, quality professionals, and software managers.
Author : Oscar Fernandez
Publisher : Princeton University Press
Page : 166 pages
File Size : 48,6 Mb
Release : 2017-03-07
Category : Mathematics
ISBN : 9780691175751
A fun look at calculus in our everyday lives Calculus. For some of us, the word conjures up memories of ten-pound textbooks and visions of tedious abstract equations. And yet, in reality, calculus is fun and accessible, and surrounds us everywhere we go. In Everyday Calculus, Oscar Fernandez demonstrates that calculus can be used to explore practically any aspect of our lives, including the most effective number of hours to sleep and the fastest route to get to work. He also shows that calculus can be both useful—determining which seat at the theater leads to the best viewing experience, for instance—and fascinating—exploring topics such as time travel and the age of the universe. Throughout, Fernandez presents straightforward concepts, and no prior mathematical knowledge is required. For advanced math fans, the mathematical derivations are included in the appendixes. The book features a new preface that alerts readers to new interactive online content, including demonstrations linked to specific figures in the book as well as an online supplement. Whether you're new to mathematics or already a curious math enthusiast, Everyday Calculus will convince even die-hard skeptics to view this area of math in a whole new way.
Author : Jerry Glynn
Publisher : Mathware, Limited
Page : 168 pages
File Size : 47,5 Mb
Release : 1992
Category : Mathematics
ISBN : PSU:000016891951