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Dit boek richt tot leraren secundair onderwijs en tot andere geïnteresseerden. Het boek bevat een vrij gedetailleerde uitwerking van de leerinhoud van een beperkte cursus analyse zoals die op het leerplan staat voor vele richtingen uit het secundair onderwijs met weinig uren wiskunde per week. Het accent ligt duidelijk op de begrippen afgeleide en bepaalde integraal. Het boek geeft een verantwoorde behandeling van deze begrippen, een paar stellingen en enkele eenvoudige rekenregels op een intuïtief en weinig formaal niveau. Er zijn ook een aantal uitgewerkte toepassingen van analyse in andere disciplines opgenomen. (Bron: covertekst)

517.1 --- #WWIS:AGGR --- 043051.jpg --- Wiskunde: didactiek: secundair onderwijs --- 517.1 Introduction to analysis --- Introduction to analysis --- Wiskunde --- Secundair onderwijs --- Didactiek --- Analyse --- Afgeleiden --- Integralen --- Continuïteit --- Differentialen --- Afgeleide --- Integraal (wiskunde) --- Differentiaalrekening

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Provability, Computability and Reflection

Logic, Symbolic and mathematical -- Periodicals. --- Logic, Symbolic and mathematical. --- 517.1 --- 517.1 Introduction to analysis --- Introduction to analysis --- Nonstandard mathematical analysis --- Logic, symbolic and mathematical --- Analyse mathématique non standard --- Nonstandard mathematical analysis.

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Introduction to the Theory of infiniteseimals

Mathematical analysis --- Mathematics. --- Nonstandard mathematical analysis. --- Nonstandard mathematical analysis --- #TELE:d.d. Prof. A. J. J. Oosterlinck --- 517.1 --- 517.1 Introduction to analysis --- Introduction to analysis --- Analysis, Nonstandard mathematical --- Mathematical analysis, Nonstandard --- Non-standard analysis --- Nonstandard analysis --- Model theory --- Analyse mathématique non standard --- Math --- Science

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"This is an intermediate level text, with exercises, whose avowed purpose is to provide the science and engineering graduate student with an appropriate modern mathematical (analysis and algebra) background in a succinct, but nontrivial, manner.... [T]he book is quite thorough and can serve as a text, for self-study, or as a reference." —Mathematical Reviews Written for graduate and advanced undergraduate students in engineering and science, this classic book focuses primarily on set theory, algebra, and analysis. Useful as a course textbook, for self-study, or as a reference, the work is intended to: * provide readers with appropriate mathematical background for graduate study in engineering or science; * allow students in engineering or science to become familiar with a great deal of pertinent mathematics in a rapid and efficient manner without sacrificing rigor; * give readers a unified overview of applicable mathematics, enabling them to choose additional, advanced topical courses in mathematics more intelligently. Whereas these objectives for writing this book were certainly pertinent over twenty years ago when the work was first published, they are even more compelling now. Today’s graduate students in engineering or science are expected to be more knowledgeable and sophisticated in mathematics than students in the past. Moreover, today’s graduate students in engineering or science are expected to be familiar with a great deal of ancillary material (primarily in the computer science area), acquired in courses that did not even exist a couple of decades ago. The book is divided into three parts: set theory (Chapter 1), algebra (Chapters 2–4), and analysis (Chapters 5–7). The first two chapters deal with the fundamental concepts of sets, functions, relations and equivalence relations, and algebraic structures. Chapters 3 and 4 cover vector spaces and linear transformations, and finite-dimensional vector spaces and matrices. The last three chapters investigate metric spaces, normed and inner product spaces, and linear operators. Because of its flexible structure, Algebra and Analysis for Engineers and Scientists may be used either in a one- or two-semester course by deleting appropriate sections, taking into account the students’ backgrounds and interests. A generous number of exercises have been integrated into the text, and a section of references and notes is provided at the end of each chapter. Applications of algebra and analysis having a broad appeal are also featured, including topics dealing with ordinary differential equations, integral equations, applications of the contraction mapping principle, minimization of functionals, an example from optimal control, and estimation of random variables. Supplementary material for students and instructors is available at http://Michel.Herget.net.

Mathematics. --- Algebra. --- Functional Analysis. --- Engineering, general. --- Appl.Mathematics/Computational Methods of Engineering. --- Applications of Mathematics. --- Systems Theory, Control. --- Functional analysis. --- Systems theory. --- Engineering. --- Engineering mathematics. --- Mathématiques --- Algèbre --- Analyse fonctionnelle --- Ingénierie --- Mathématiques de l'ingénieur --- Algebra -- Textbooks. --- Electronic books. -- local. --- Mathematical analysis -- Textbooks. --- Mathematics --- Algebra --- Physical Sciences & Mathematics --- 512.5 --- 517.1 --- General algebra --- Introduction to analysis --- 517.1 Introduction to analysis --- 512.5 General algebra --- Mathematical analysis --- 517.1 Mathematical analysis --- Applied mathematics. --- System theory. --- Mathematical and Computational Engineering. --- Math --- Science --- Engineering --- Engineering analysis --- Construction --- Industrial arts --- Technology --- Functional calculus --- Calculus of variations --- Functional equations --- Integral equations --- Systems, Theory of --- Systems science --- Philosophy

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"An elegantly written, introductory overview of the field, with a near perfect choice of what to include and what not, enlivened in places by historical tidbits and made eminently readable throughout by crisp language. It has succeeded in doing the near-impossible—it has made a subject which is generally inhospitable to nonspecialists because of its ‘family jargon’ appear nonintimidating even to a beginning graduate student." —The Journal of the Indian Institute of Science "The book under review gives a comprehensive treatment of basically everything in mathematics that can be named multivalued/set-valued analysis. It includes…results with many historical comments giving the reader a sound perspective to look at the subject…The book is highly recommended for mathematicians and graduate students who will find here a very comprehensive treatment of set-valued analysis." —Mathematical Reviews "I recommend this book as one to dig into with considerable pleasure when one already knows the subject...'Set-Valued Analysis’ goes a long way toward providing a much needed basic resource on the subject." —Bulletin of the American Mathematical Society "This book provides a thorough introduction to multivalued or set-valued analysis...Examples in many branches of mathematics, given in the introduction, prevail [upon] the reader the indispensability [of dealing] with sequences of sets and set-valued maps…The style is lively and vigorous, the relevant historical comments and suggestive overviews increase the interest for this work...Graduate students and mathematicians of every persuasion will welcome this unparalleled guide to set-valued analysis." —Zentralblatt Math.

Set-valued maps --- Mathematics. --- Mathematical analysis. --- Analysis (Mathematics). --- Applied mathematics. --- Engineering mathematics. --- Game theory. --- System theory. --- Control engineering. --- Robotics. --- Mechatronics. --- Systems Theory, Control. --- Control, Robotics, Mechatronics. --- Analysis. --- Applications of Mathematics. --- Game Theory, Economics, Social and Behav. Sciences. --- Systems theory. --- Global analysis (Mathematics). --- Math --- Science --- Analysis, Global (Mathematics) --- Differential topology --- Functions of complex variables --- Geometry, Algebraic --- Games, Theory of --- Theory of games --- Mathematical models --- Mathematics --- 517.1 Mathematical analysis --- Mathematical analysis --- Mechanical engineering --- Microelectronics --- Microelectromechanical systems --- Engineering --- Engineering analysis --- Systems, Theory of --- Systems science --- Automation --- Machine theory --- Control engineering --- Control equipment --- Control theory --- Engineering instruments --- Programmable controllers --- Philosophy --- 517.1 --- 517.1 Introduction to analysis --- Introduction to analysis --- Many-valued mappings --- Mappings, Point-to-set --- Maps, Set-valued --- Multi-valued mappings --- Multivalued mappings --- Point-to-set mappings --- Mappings (Mathematics) --- Selection theorems --- Automatic control.