Correct Antidifferentiation: The Change Of Variable Well Done PDF Download
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Author: Antonio Martinez-abejon
Publisher: World Scientific
ISBN: 9811227470
Category : Mathematics
Languages : en
Pages : 282
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Book Description
A typical source of mistakes that frequently lead to a wrong or incomplete solution for the antiderivative of a given real function of one real variable is a misuse of the technique of change of variable. The increasing implementation of software in apparently mechanic tasks such as the calculation of antiderivatives has not improved the situation, yet those software packages issue generic warnings such as 'the answer's is not guaranteed to be continuous' or 'the solution might be only valid for parts of the function'. The practical meaning of those vague machine messages is clearly envisaged in this book, which shows how to handle the technique of change of variable in order to provide correct solutions.This book is monographically focused on elementary antidifferentiation and reasonably self-contained, yet it is written in a 'hand-book' style: it has plenty of examples and graphics in an increasing level of difficulty; the most standard changes of variable are studied and the hardest theoretic parts are included in a final Appendix. Each practical chapter has a list of exercises and solutions.This book is intended for instructors and university students of Mathematics of first and second year.
Author: Antonio Martinez-abejon
Publisher: World Scientific
ISBN: 9811227470
Category : Mathematics
Languages : en
Pages : 282
Get Book
Book Description
A typical source of mistakes that frequently lead to a wrong or incomplete solution for the antiderivative of a given real function of one real variable is a misuse of the technique of change of variable. The increasing implementation of software in apparently mechanic tasks such as the calculation of antiderivatives has not improved the situation, yet those software packages issue generic warnings such as 'the answer's is not guaranteed to be continuous' or 'the solution might be only valid for parts of the function'. The practical meaning of those vague machine messages is clearly envisaged in this book, which shows how to handle the technique of change of variable in order to provide correct solutions.This book is monographically focused on elementary antidifferentiation and reasonably self-contained, yet it is written in a 'hand-book' style: it has plenty of examples and graphics in an increasing level of difficulty; the most standard changes of variable are studied and the hardest theoretic parts are included in a final Appendix. Each practical chapter has a list of exercises and solutions.This book is intended for instructors and university students of Mathematics of first and second year.
Author: David Warren Cohen
Publisher: Jones & Bartlett Learning
ISBN: 9780763729479
Category : Computers
Languages : en
Pages : 1014
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Book Description
Adaptable to courses for non-engineering majors, this textbook illustrates the meaning of a curve through graphs and tests predictions through numerical values of change, before formally defining the limit of a sequence and function, the derivative, and the integral. The second half of the book develops techniques for integrating functions, approxi
Author: Matthew Boelkins
Publisher: Createspace Independent Publishing Platform
ISBN: 9781724458322
Category :
Languages : en
Pages : 560
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Book Description
Active Calculus - single variable is a free, open-source calculus text that is designed to support an active learning approach in the standard first two semesters of calculus, including approximately 200 activities and 500 exercises. In the HTML version, more than 250 of the exercises are available as interactive WeBWorK exercises; students will love that the online version even looks great on a smart phone. Each section of Active Calculus has at least 4 in-class activities to engage students in active learning. Normally, each section has a brief introduction together with a preview activity, followed by a mix of exposition and several more activities. Each section concludes with a short summary and exercises; the non-WeBWorK exercises are typically involved and challenging. More information on the goals and structure of the text can be found in the preface.
Author: John C. Sparks
Publisher: AuthorHouse
ISBN: 1418441244
Category : Calculus
Languages : en
Pages : 394
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Book Description
First time author Ledesma sets his adventure tale in early America. Antonios' travels and adventures carry him across two continents, Europe and America in his quest for a new life. He leaves the safety and love of his family in Italy for uncertain life in a far off land. His dreams, anxieties and fears are borne out as he encounters and conquers the harsh strange and challenging world that surrounds him. Each tantalizing adventure brings our hero closer to maturity, self-esteem and the molding of his character. He experiences love; fear and death on his long journey and witnesses the history that shaped early America. 1n 1846 he becomes an early pioneer by joining a wagon train bound for California. During the trip he experiences encounters with Indians, death, accidents and newly establishes a long lasting friendship. He wanders around California finding romance and land. He eventually starts a grape vineyard and establishes himself as a rancher, husband and father. His life in early California is entwined with such history making events as the Gold Rush, statehood, the Pony Express, building of the Transcontinental Railroad and many more historical events. Reading this heart warming young mans story will enrich the readers to understand the personal triumphs, hardships and the west's rich history
Author: Tamara Lefcourt Ruby
Publisher:
ISBN: 9781419550782
Category : Mathematics
Languages : en
Pages : 652
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Book Description
-Complete review of essential topics on the AP Calculus AB and BC topic outline-3 full-length practice tests (2 AB, 1 BC)-A diagnostic quiz helps students determine which topics they should spend the most time reviewing-Complete test information and resources-Kaplan's proven AP score-raising strategies-A chapter devoted to using a graphing calculator-Sample free-response questions, answers, and walk-through explanations for all key topics
Author: Margaret Swale
Publisher: John Wiley & Sons
ISBN: 1119876567
Category : Juvenile Nonfiction
Languages : en
Pages : 771
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Book Description
Jacaranda Maths Quest 12 Mathematical Methods VCE Units 3 and 4 Everything your students need to succeed. The best Mathematics series for the new VCE Study Design. Developed by expert Victorian teachers for, VCE students. Get exam ready: past VCAA exam questions (all since 2013) Students can start preparing from lesson one, with past VCAA exam questions embedded in every lesson. Practice, customisable SACs available for all Units to build student competence and confidence. Learn online with Australia’s most powerful learning platform, learnON Be confident your students can get unstuck and progress, in class or at home. For every question online they receive immediate feedback and fully worked solutions. Teacher-led videos to learn and re-learn. Instant reports make tracking progress simple. Combine units flexibly with the Jacaranda Supercourse An Australian first, build the course you’ve always wanted with the Jacaranda Supercourse. You can combine all Methods Units 1 to 4, so students can move backwards and forwards freely. Or Methods and General Units 1 & 2 for when students switch courses. The possibilities are endless!
Author: Jiří Jaromír Klemeš
Publisher: Woodhead Publishing
ISBN: 0128238518
Category : Technology & Engineering
Languages : en
Pages : 1190
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Book Description
Handbook of Process Integration (PI): Minimisation of Energy and Water Use, Waste and Emissions, Second Edition provides an up-to-date guide on the latest PI research and applications. Since the first edition published, methodologies and sustainability targets have developed considerably. Each chapter has been fully updated, with six new chapters added in this release, covering emissions, transport, water scarcity, reliability and maintenance, environmental impact and circular economy. This version also now includes worked examples and simulations to deepen the reader’s understanding. With its distinguished editor and international team of expert contributors, this book is an important reference work for managers and researchers in all energy and sustainability industries, as well as academics and students in Energy, Chemical, Process, and Environmental Engineering. Provides a fully updated handbook with six new chapters that reflect the latest research and applications on process integration Reviews a wide range of process design and integration topics, ranging from heat and utility systems to water, recycling, waste and hydrogen systems Covers equipment design and operability issues, with a strong extension to environmental engineering and suitability issues
Author: Joel Kilty
Publisher: Oxford University Press
ISBN: 0192558137
Category : Mathematics
Languages : en
Pages : 816
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Book Description
This textbook is rich with real-life data sets, uses RStudio to streamline computations, builds "big picture" conceptual understandings, and applies them in diverse settings. Mathematical Modeling and Applied Calculus will develop the insights and skills needed to describe and model many different aspects of our world. This textbook provides an excellent introduction to the process of mathematical modeling, the method of least squares, and both differential and integral calculus, perfectly meeting the needs of today's students. Mathematical Modeling and Applied Calculus provides a modern outline of the ideas of Calculus and is aimed at those who do not intend to enter the traditional calculus sequence. Topics that are not traditionally taught in a one-semester Calculus course, such as dimensional analysis and the method of least squares, are woven together with the ideas of mathematical modeling and the ideas of calculus to provide a rich experience and a large toolbox of mathematical techniques for future studies. Additionally, multivariable functions are interspersed throughout the text, presented alongside their single-variable counterparts. This text provides a fresh take on these ideas that is ideal for the modern student.
Author: William A. Ruh
Publisher: John Wiley & Sons
ISBN: 0471437867
Category : Computers
Languages : en
Pages : 216
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Book Description
Learn to utilize today's hottest EAI technologies to ensure interoperability across your organization What exactly is enterprise application integration (EAI)? What makes this $300 million market so hot that it's expected to grow to $6.5 billion in the next two years? How do you apply it in the real world? Whether you're an IT professional or systems architect, business manager or software developer, if you're looking into EAI as a solution for unifying applications and systems across the enterprise, then the answers are in this book.You'll find a complete and unbiased survey of the different technologies, architectures, and approaches available for EAI implementations, including pros and cons, clear explanations of all concepts, and first-rate guidance on how to choose the best EAI strategy for your company. The authors draw on their pioneering work with early implementations to show you how to: * Define your specific integration problem in a useful form that enables a real solution * Develop your own EAI architecture and ensure interoperability of legacy, stovepipe, COTS, client-server and modern technology applications * Choose the best among messaging architecture, object architecture, and transaction architecture * Work with the best implementation technologies, including Microsoft's COM+, the OMG's CORBA, and Sun's EJB * Utilize the proven Secure Application Integration Methodology (SAIM) Wiley Tech Briefs Focused on the needs of the corporate IT and business manager, the Tech Briefs series provides in-depth information on a new or emerging technology, solutions, and vendor offerings available in the marketplace. With their accessible approach, these books will help you get quickly up-to-speed on a topic so that you can effectively compete, grow, and better serve your customers.
Author: Philip Gillett
Publisher: Houghton Mifflin
ISBN:
Category : Mathematics
Languages : en
Pages : 1032
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Book Description
