Primer For Calculus
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A Primer On The Calculus Of Variations And Optimal Control Theory
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Author : Mike Mesterton-Gibbons
language : en
Publisher: American Mathematical Soc.
Release Date : 2009
A Primer On The Calculus Of Variations And Optimal Control Theory written by Mike Mesterton-Gibbons and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009 with Mathematics categories.
The calculus of variations is used to find functions that optimize quantities expressed in terms of integrals. Optimal control theory seeks to find functions that minimize cost integrals for systems described by differential equations. This book is an introduction to both the classical theory of the calculus of variations and the more modern developments of optimal control theory from the perspective of an applied mathematician. It focuses on understanding concepts and how to apply them. The range of potential applications is broad: the calculus of variations and optimal control theory have been widely used in numerous ways in biology, criminology, economics, engineering, finance, management science, and physics. Applications described in this book include cancer chemotherapy, navigational control, and renewable resource harvesting. The prerequisites for the book are modest: the standard calculus sequence, a first course on ordinary differential equations, and some facility with the use of mathematical software. It is suitable for an undergraduate or beginning graduate course, or for self study. It provides excellent preparation for more advanced books and courses on the calculus of variations and optimal control theory.
3d Math Primer For Graphics And Game Development 2nd Edition
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Author : Fletcher Dunn
language : en
Publisher: CRC Press
Release Date : 2011-11-02
3d Math Primer For Graphics And Game Development 2nd Edition written by Fletcher Dunn and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-11-02 with Computers categories.
This engaging book presents the essential mathematics needed to describe, simulate, and render a 3D world. Reflecting both academic and in-the-trenches practical experience, the authors teach you how to describe objects and their positions, orientations, and trajectories in 3D using mathematics. The text provides an introduction to mathematics for game designers, including the fundamentals of coordinate spaces, vectors, and matrices. It also covers orientation in three dimensions, calculus and dynamics, graphics, and parametric curves.
A Primer Of Infinitesimal Analysis
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Author : John L. Bell
language : en
Publisher: Cambridge University Press
Release Date : 2008-04-07
A Primer Of Infinitesimal Analysis written by John L. Bell and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-04-07 with Mathematics categories.
A rigorous, axiomatically formulated presentation of the 'zero-square', or 'nilpotent' infinitesimal.
Primer For Calculus
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Author : Holder
language : en
Publisher: Thomson
Release Date : 1989-09-01
Primer For Calculus written by Holder and has been published by Thomson this book supported file pdf, txt, epub, kindle and other format this book has been release on 1989-09-01 with categories.
A Primer For The Mathematics Of Financial Engineering
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Author : Dan Stefanica
language : en
Publisher:
Release Date : 2008
A Primer For The Mathematics Of Financial Engineering written by Dan Stefanica and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008 with Business mathematics categories.
Infinitesimal Calculus
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Author : James M. Henle
language : en
Publisher: Courier Corporation
Release Date : 2014-01-15
Infinitesimal Calculus written by James M. Henle and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-01-15 with Mathematics categories.
Introducing calculus at the basic level, this text covers hyperreal numbers and hyperreal line, continuous functions, integral and differential calculus, fundamental theorem, infinite sequences and series, infinite polynomials, more. 1979 edition.
Fundamentals Of Tensor Calculus For Engineers With A Primer On Smooth Manifolds
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Author : Uwe Mühlich
language : en
Publisher: Springer
Release Date : 2017-04-18
Fundamentals Of Tensor Calculus For Engineers With A Primer On Smooth Manifolds written by Uwe Mühlich and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-04-18 with Science categories.
This book presents the fundamentals of modern tensor calculus for students in engineering and applied physics, emphasizing those aspects that are crucial for applying tensor calculus safely in Euclidian space and for grasping the very essence of the smooth manifold concept. After introducing the subject, it provides a brief exposition on point set topology to familiarize readers with the subject, especially with those topics required in later chapters. It then describes the finite dimensional real vector space and its dual, focusing on the usefulness of the latter for encoding duality concepts in physics. Moreover, it introduces tensors as objects that encode linear mappings and discusses affine and Euclidean spaces. Tensor analysis is explored first in Euclidean space, starting from a generalization of the concept of differentiability and proceeding towards concepts such as directional derivative, covariant derivative and integration based on differential forms. The final chapter addresses the role of smooth manifolds in modeling spaces other than Euclidean space, particularly the concepts of smooth atlas and tangent space, which are crucial to understanding the topic. Two of the most important concepts, namely the tangent bundle and the Lie derivative, are subsequently worked out.
A Primer For Calculus
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Author : Leonard Irvin Holder
language : en
Publisher:
Release Date : 1978-01-01
A Primer For Calculus written by Leonard Irvin Holder and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1978-01-01 with Mathematics categories.
Primer For Calculus
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Author : Leonard Irvin Holder
language : en
Publisher:
Release Date : 2003
Primer For Calculus written by Leonard Irvin Holder and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003 with Mathematics categories.
Primer Of Modern Analysis
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Author : K.T. Smith
language : en
Publisher: Springer
Release Date : 1983-08-29
Primer Of Modern Analysis written by K.T. Smith and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 1983-08-29 with Mathematics categories.
This book discusses some of the first principles of modern analysis. I t can be used for courses at several levels, depending upon the background and ability of the students. It was written on the premise that today's good students have unexpected enthusiasm and nerve. When hard work is put to them, they work harder and ask for more. The honors course (at the University of Wisconsin) which inspired this book was, I think, more fun than the book itself. And better. But then there is acting in teaching, and a typewriter is a poor substitute for an audience. The spontaneous, creative disorder that characterizes an exciting course becomes silly in a book. To write, one must cut and dry. Yet, I hope enough of the spontaneity, enough of the spirit of that course, is left to enable those using the book to create exciting courses of their own. Exercises in this book are not designed for drill. They are designed to clarify the meanings of the theorems, to force an understanding of the proofs, and to call attention to points in a proof that might otherwise be overlooked. The exercises, therefore, are a real part of the theory, not a collection of side issues, and as such nearly all of them are to be done. Some drill is, of course, necessary, particularly in the calculation of integrals.