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: Antonio Martinez-abejon
Publisher:
ISBN: 9789811227462
Category : Electronic books
Languages : en
Pages : 282
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Book Description
Author: Flor Langouche
Publisher: Springer Science & Business Media
ISBN: 940171634X
Category : Mathematics
Languages : en
Pages : 324
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Book Description
This book is intended as a fairly complete presentation of what··'We call the discretization approach to functional integrals, i.e. path integrals defined as limits of discretized axpressions. In its main parts it is based 0n the original work of the authors. We hope to have provided the readers with a rather complete and up-to-date bibliography, and we apologize to authors whose work has not been cited through ignorance ori our part. Our main concern has been to present a for malism that is practical and which can be adapted to make computations in the numerous areas where path integrals are being increasingly used. For these reasons applications, illustrative examples, and detailed calculations are included. The book is partially based on lectures given by one of us (E.T.) at the Institut de Physique Theorique of the u.c.L. (Louvain-la-Neuve). We thank Dr. M.E. Brachet (University of Paris) for his help in the redaction of chapter 8. We are indebted to many of our colleagues and especially to the members of the Instituut voor Theoretische Fysica, K.U. Leuven for their interest and encouragement. We also thank Professor Claudio Anguita, Dean of the Faculty of Physics and Mathematics of .the University of Chile, for his constant support. Special thanks are due to Christine Detroije and Lutgarde Dubois for their very fine and hard work in typing the manuscript.
Author:
Publisher:
ISBN:
Category : Electronic journals
Languages : en
Pages : 614
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Book Description
Includes section "Recent publications."
Author: Wiesław Krawcewicz
Publisher: Alpha Science Int'l Ltd.
ISBN: 9781842650745
Category : Mathematics
Languages : en
Pages : 718
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Book Description
Offering a universally taught course: this complete exposition of a single varibale calculus elucidates transcendental functions, the notion of a sequence and its limit and the introduction of a limit of a function.
Author: James K. Peterson
Publisher: CRC Press
ISBN: 1351679449
Category : Mathematics
Languages : en
Pages : 502
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Book Description
Basic Analysis I: Functions of a Real Variable is designed for students who have completed the usual calculus and ordinary differential equation sequence and a basic course in linear algebra. This is a critical course in the use of abstraction, but is just first volume in a sequence of courses which prepare students to become practicing scientists. This book is written with the aim of balancing the theory and abstraction with clear explanations and arguments, so that students who are from a variety of different areas can follow this text and use it profitably for self-study. It can also be used as a supplementary text for anyone whose work requires that they begin to assimilate more abstract mathematical concepts as part of their professional growth. Features Can be used as a traditional textbook as well as for self-study Suitable for undergraduate mathematics students, or for those in other disciplines requiring a solid grounding in abstraction Emphasises learning how to understand the consequences of assumptions using a variety of tools to provide the proofs of propositions
Author: Jean-Charles Régin
Publisher: Springer Science & Business Media
ISBN: 354021836X
Category : Computers
Languages : en
Pages : 429
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Book Description
This book constitutes the refereed proceedings of the First International Conference on Integration of AI and OR Techniques in Constraint Programming for Combinatorial Optimization Problems, CPAIOR 2004, held in Nice, France in April 2004. The 23 revised full papers and 7 revised short papers presented together with an invited talk were carefully reviewed and selected from 56 submissions. Methodological and foundational issues from AI, OR, and algorithmics are presented as well as applications to the solution of combinatorial optimization problems in various fields via constraint programming.
Author: Wenhuan Li
Publisher: Packt Publishing Ltd
ISBN: 1805123637
Category : Computers
Languages : en
Pages : 216
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Book Description
Discover the perfect synergy between C++ and Lua to create powerful, adaptable, and high-performing software solutions Key Features Get hands-on experience by integrating Lua with C++ Explore real-life project-ready advanced techniques for your future projects Learn Lua through practical coding examples and exercises Purchase of the print or Kindle book includes a free PDF eBook Book DescriptionC++ is a popular choice in the developer community for building complex and large-scale performant applications and systems. Often a need arises to extend the system at runtime, without recompiling the whole C++ program. Using a scripting language like Lua can help achieve this goal efficiently. Integrate Lua to C++ is a comprehensive guide to integrating Lua to C++ and will enable you to achieve the goal of extending C++ programs at runtime. You’ll learn, in sequence, how to get and compile the Lua library, the Lua programming language, calling Lua code from C++, and calling C++ code from Lua. In each topic, you’ll practice with code examples, and learn the in-depth mechanisms for smooth working. Throughout the book, the latter examples build on the earlier ones while also acting as a standalone. You’ll learn to implement Lua executor and Lua binding generator, which you can use in your projects directly with further customizations. By the end of this book, you’ll have mastered integrating Lua into C++ and using Lua in your C++ project efficiently, gained the skills to extend your applications at runtime, and achieved dynamic and adaptable C++ development.What you will learn Explore how to access and compile Lua source code Call Lua code from C++ for enhanced functionality Integrate C++ code into Lua for powerful interactions Deepen your understanding of Lua stack for advanced usage Implement a project-ready Lua executor and binding generator Extend C++ projects with customizable and extensible Lua scripting Who this book is forThis book is for C++ developers seeking to seamlessly integrate Lua, learn the Lua programming language by examples, or enhance their understanding of Lua-C++ interaction. Basic knowledge of C++ is required to fully benefit from this book.
Author: John C. Norcross
Publisher: Oxford University Press
ISBN: 0195165799
Category : Psychology
Languages : en
Pages : 569
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Book Description
Seasoned psychotherapists realize that no single theory or unitary treatment can ever suffice for all patients, disorders, and situations. This volume provides a comprehensive description and illustration of psychotherapy integration by leading proponents. Replete with clinical vignettes, this unique handbook will be invaluable to practitioners, researchers, and students alike.
Author: Scott Moeller
Publisher: Bloomsbury Publishing
ISBN: 1849300593
Category : Business & Economics
Languages : en
Pages : 639
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Book Description
Collated by Scott Moeller of Cass Business School, this collection brings together the informative articles a budding finance practitioner needs to operate effectively in today's corporate environment. Bringing together core finance knowledge and cutting-edge research topics in an engaging and effective way, this text is the ideal companion for all practitioners and students of finance. You will find insights into the practical applications of theory in key areas such as balance sheets and cash flow, financial regulation and compliance, funding and investment, governance and ethics, mergers and acquisitions, and operations and performance. Contributors to this collection include some of the leading experts in their respective fields: Aswath Damodaran, Harold Bierman, Jr, Andreas Jobst, Frank J. Fabozzi, Ian Bremmer, Javier Estrada, Marc J. Epstein, Henrik Cronqvist, Daud Vicary Abdullah, Meziane Lasfer, Dean Karlan, Norman Marks, Seth Armitage, and many others. In this collection you will discover: * Over 80 best-practice articles, providing the best guidance on issues ranging from risk management and capital structure optimization through to market responses to M&A transactions and general corporate governance * Over 65 checklists forming step-by-step guides to essential tasks, from hedging interest rates to calculating your total economic capital * 55 carefully selected calculations and ratios to monitor firms' financial health * A fully featured business and finance dictionary with over 5,000 definitions
