Calculus: Concepts and Methods

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Author: Ken Binmore,Joan Davies

Publisher: Cambridge University Press

ISBN: 1139643622

Category: Mathematics

Page: N.A

View: 9198

The pebbles used in ancient abacuses gave their name to the calculus, which today is a fundamental tool in business, economics, engineering and the sciences. This introductory book takes readers gently from single to multivariate calculus and simple differential and difference equations. Unusually the book offers a wide range of applications in business and economics, as well as more conventional scientific examples. Ideas from univariate calculus and linear algebra are covered as needed, often from a new perspective. They are reinforced in the two-dimensional case, which is studied in detail before generalisation to higher dimensions. Although there are no theorems or formal proofs, this is a serious book in which conceptual issues are explained carefully using numerous geometric devices and a wealth of worked examples, diagrams and exercises. Mathematica has been used to generate many beautiful and accurate, full-colour illustrations to help students visualise complex mathematical objects. This adds to the accessibility of the text, which will appeal to a wide audience among students of mathematics, economics and science.

Was ist Mathematik?

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Author: Richard Courant,Herbert Robbins

Publisher: Springer-Verlag

ISBN: 3642137016

Category: Mathematics

Page: 400

View: 3328

"Was ist Mathematik?" lädt jeden ein, das Reich der Mathematik zu betreten, der neugierig genug ist, sich auf ein Abenteuer einzulassen. Das Buch richtet sich an Leser jeden Alters und jeder Vorbildung. Gymnasiallehrer erhalten eine Fülle von Beispielen, Studenten bietet es Orientierung, und Dozenten werden sich an den Feinheiten der Darstellung zweier Meister ihres Faches erfreuen.

Calculus: Concepts and Contexts

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Author: James Stewart

Publisher: Cengage Learning

ISBN: 0495557420

Category: Mathematics

Page: 1152

View: 8588

Stewart's CALCULUS: CONCEPTS AND CONTEXTS, FOURTH EDITION offers a streamlined approach to teaching calculus, focusing on major concepts and supporting those with precise definitions, patient explanations, and carefully graded problems. CALCULUS: CONCEPTS AND CONTEXTS is highly regarded because this text offers a balance of theory and conceptual work to satisfy more progressive programs as well as those who are more comfortable teaching in a more traditional fashion. Each title is just one component in a comprehensive calculus course program that carefully integrates and coordinates print, media, and technology products for successful teaching and learning. Important Notice: Media content referenced within the product description or the product text may not be available in the ebook version.

Calculus Concepts: An Informal Approach to the Mathematics of Change

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Author: Donald R. LaTorre,John W. Kenelly,Iris B. Reed,Laurel R. Carpenter,Cynthia R. Harris

Publisher: Cengage Learning

ISBN: 1439049572

Category: Mathematics

Page: 744

View: 772

Designed for a one or two-semester Applied Calculus course, this innovative text features a graphing calculator approach, incorporating real-life applications and such technology as graphing utilities and Excel spreadsheets to help students learn mathematical skills that they will use in their lives and careers. The texts overall goal is to improve learning of basic calculus concepts by involving students with new material in a way that is different from traditional practice. The development of conceptual understanding coupled with a commitment to make calculus meaningful to the student are guiding forces. The material involves many applications of real situations through its data-driven, technology-based modeling approach. The ability to correctly interpret the mathematics of real-life situations is considered of equal importance to the understanding of the concepts of calculus. CALCULUS CONCEPTS, Fifth Edition, presents concepts in a variety of forms, including algebraic, graphical, numeric, and verbal. Targeted toward students majoring in liberal arts, economics, business, management, and the life and social sciences, the text's focus on technology along with its use of real data and situations make it a sound choice to help students develop an intuitive, practical understanding of concepts. Important Notice: Media content referenced within the product description or the product text may not be available in the ebook version.

Spieltheorie

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Author: Ken Binmore

Publisher: N.A

ISBN: 9783150185902

Category:

Page: 272

View: 7507

Single Variable Calculus: Concepts and Contexts

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Author: James Stewart

Publisher: Cengage Learning

ISBN: 0495559725

Category: Mathematics

Page: 784

View: 3036

Stewart's CALCULUS: CONCEPTS AND CONTEXTS, FOURTH EDITION offers a streamlined approach to teaching calculus, focusing on major concepts and supporting those with precise definitions, patient explanations, and carefully graded problems. CALCULUS: CONCEPTS AND CONTEXTS is highly regarded because this text offers a balance of theory and conceptual work to satisfy more progressive programs as well as those who are more comfortable teaching in a more traditional fashion. Each title is just one component in a comprehensive calculus course program that carefully integrates and coordinates print, media, and technology products for successful teaching and learning. Important Notice: Media content referenced within the product description or the product text may not be available in the ebook version.

Mathematics for Physicists

Introductory Concepts and Methods

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Author: Alexander Altland,Jan von Delft

Publisher: Cambridge University Press

ISBN: 1108471226

Category: Mathematics

Page: 600

View: 311

Introduces fundamental concepts and computational methods of mathematics from the perspective of physicists.

Einführung in die Funktionalanalysis

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Author: Reinhold Meise,Dietmar Vogt

Publisher: Springer-Verlag

ISBN: 3322803104

Category: Mathematics

Page: 416

View: 3201

Dieses Buch wendet sich an Studenten der Mathematik und der Physik, welche über Grundkenntnisse in Analysis und linearer Algebra verfügen.

Formal Methods for Open Object-Based Distributed Systems V

IFIP TC6 / WG6.1 Fifth International Conference on Formal Methods for Open Object-Based Distributed Systems (FMOODS 2002) March 20–22, 2002, Enschede, The Netherlands

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Author: Bart Jacobs,Arend Rensink

Publisher: Springer Science & Business Media

ISBN: 9780792376835

Category: Computers

Page: 280

View: 8737

Formal Methods for Open Object-Based Distributed Systems V brings together research in three important and related fields: Formal methods; Distributed systems; Object-based technology. Such a convergence is representative of recent advances in the field of distributed systems, and provides links between several scientific and technological communities. The wide scope of topics covered in this volume range in subject from UML to object-based languages and calculi and security, and in approach from specification to case studies and verification. This volume comprises the proceedings of the Fifth International Conference on Formal Methods for Open Object-Based Distributed Systems (FMOODS 2002), which was sponsored by the International Federation for Information Processing (IFIP) and held in Enschede, The Netherlands in March 2002.

Produktionsfaktor Mathematik

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Author: Martin Grötschel,Klaus Lucas,Volker Mehrmann

Publisher: Springer-Verlag

ISBN: 3540894357

Category: Mathematics

Page: 480

View: 4394

Mathematik trägt immer stärker zur Produktentwicklung und Produktionssicherheit, zur Wertschöpfung und Ressourcenschonung bei. Das Buch erörtert in verschiedenen ingenieurwissenschaftlichen Themenfeldern das Verhältnis von Mathematik und Technikwissenschaften, den Beitrag der Mathematik zur industriellen Wertschöpfung und die Schlüsselrolle der Mathematik bei der Beherrschung komplexer Systeme. Gleichzeitig schlagen die Autoren Maßnahmen zur Verbesserung der Interaktion zwischen Mathematik und Technikwissenschaften, Forschung und Industrie vor.

Statistik-Workshop für Programmierer

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Author: Allen B. Downey

Publisher: O'Reilly Germany

ISBN: 3868993436

Category: Computers

Page: 160

View: 338

Wenn Sie programmieren können, beherrschen Sie bereits Techniken, um aus Daten Wissen zu extrahieren. Diese kompakte Einführung in die Statistik zeigt Ihnen, wie Sie rechnergestützt, anstatt auf mathematischem Weg Datenanalysen mit Python durchführen können. Praktischer Programmier-Workshop statt grauer Theorie: Das Buch führt Sie anhand eines durchgängigen Fallbeispiels durch eine vollständige Datenanalyse -- von der Datensammlung über die Berechnung statistischer Kennwerte und Identifikation von Mustern bis hin zum Testen statistischer Hypothesen. Gleichzeitig werden Sie mit statistischen Verteilungen, den Regeln der Wahrscheinlichkeitsrechnung, Visualisierungsmöglichkeiten und vielen anderen Arbeitstechniken und Konzepten vertraut gemacht. Statistik-Konzepte zum Ausprobieren: Entwickeln Sie über das Schreiben und Testen von Code ein Verständnis für die Grundlagen von Wahrscheinlichkeitsrechnung und Statistik: Überprüfen Sie das Verhalten statistischer Merkmale durch Zufallsexperimente, zum Beispiel indem Sie Stichproben aus unterschiedlichen Verteilungen ziehen. Nutzen Sie Simulationen, um Konzepte zu verstehen, die auf mathematischem Weg nur schwer zugänglich sind. Lernen Sie etwas über Themen, die in Einführungen üblicherweise nicht vermittelt werden, beispielsweise über die Bayessche Schätzung. Nutzen Sie Python zur Bereinigung und Aufbereitung von Rohdaten aus nahezu beliebigen Quellen. Beantworten Sie mit den Mitteln der Inferenzstatistik Fragestellungen zu realen Daten.

Analysis II für Dummies

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Author: Zegarelli

Publisher: John Wiley & Sons

ISBN: 3527657983

Category: Mathematics

Page: 358

View: 6074

Nach der Analysis ist vor der Analysis. Dies ist das richtige Buch für Sie, wenn es in der Analysis ein wenig mehr sein soll oder auch muss. Mark Zegarelli erklärt Ihnen, was Sie zur infiniten Integration und zu differential- und multivariablen Gleichungen wissen müssen. Er fährt mit Taylorreihe und Substitutionen fort und führt Sie auch in die Dritte Dimension der Analysis; und das ist lange noch nicht alles! Im Ton verbindlich, in der Sache kompetent führt er Ihre Analysiskenntnisse auf eine neue Stufe.

Differentialgleichungen und ihre Anwendungen

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Author: Martin Braun

Publisher: Springer-Verlag

ISBN: 3642973418

Category: Mathematics

Page: 596

View: 3930

Dieses richtungsweisende Lehrbuch für die Anwendung der Mathematik in anderen Wissenschaftszweigen gibt eine Einführung in die Theorie der gewöhnlichen Differentialgleichungen. Fortran und APL-Programme geben den Studenten die Möglichkeit, verschiedene numerische Näherungsverfahren an ihrem PC selbst durchzurechnen. Aus den Besprechungen: "Die Darstellung ist überall mathematisch streng und zudem ungemein anregend. Abgesehen von manchen historischen Bemerkungen ... tragen dazu die vielen mit ausführlichem Hintergrund sehr eingehend entwickelten praktischen Anwendungen bei. ... Besondere Aufmerksamkeit wird der physikalisch und technisch so wichtigen Frage nach Stabilität von Lösungen eines Systems von Differentialgleichungen gewidmet. Das Buch ist wegen seiner geringen Voraussetzungen und vorzüglichen Didaktik schon für alle Studenten des 3. Semesters geeignet; seine eminent praktische Haltung empfiehlt es aber auch für alle Physiker, die mit Differentialgleichungen und ihren Anwendungen umzugehen haben." #Physikalische Blätter#

Calculus of Variations

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Author: I. M. Gelfand,S. V. Fomin

Publisher: Courier Corporation

ISBN: 0486135012

Category: Mathematics

Page: 240

View: 6910

Fresh, lively text serves as a modern introduction to the subject, with applications to the mechanics of systems with a finite number of degrees of freedom. Ideal for math and physics students.

Logic, Sets, and Recursion

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Author: Robert L. Causey

Publisher: Jones & Bartlett Learning

ISBN: 9780763737849

Category: Computers

Page: 512

View: 6430

The new Second Edition incorporates a wealth of exercise sets, allowing students to test themselves and review important topics discussed throughout the text."--Jacket.

Calculus concepts

an informal approach to the mathematics of change

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Author: Don Latorre,Iris B. Fetta,John Kenelly

Publisher: Houghton Mifflin Harcourt (HMH)

ISBN: 9780669398656

Category: Mathematics

Page: 561

View: 9806

Inverse Problems

Activities for Undergraduates

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Author: C. W. Groetsch

Publisher: Cambridge University Press

ISBN: 9780883857168

Category: Mathematics

Page: 222

View: 6387

Problem solving in mathematics is often thought of as a one way process. For example: take two numbers and multiply them together. However for each problem there is also an inverse problem which runs in the opposite direction: now take a number and find a pair of factors. Such problems are considerably more important, in mathematics and throughout science, than they might first appear. This book concentrates on these inverse problems and how they can be usefully introduced to undergraduate students. A historical introduction sets the scene and gives a cultural context for what the rest of the book. Chapters dealing with inverse problems in calculus, differential equations and linear algebra then follow and the book concludes with suggestions for further reading. Whatever their own field of expertise, this will be an essential purchase for anyone interested in the teaching of mathematics.

Integral Calculus

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Author: H. S. Dhami

Publisher: New Age International

ISBN: 9788122413243

Category:

Page: 348

View: 8304

Starting From The Historical Development Of The Subject, The Book Presents A Systematic Treatment Of The Basic Concepts And Techniques Involved In Integral Calculus.Techniques Of Integration, Beta And Gamma Functions, And Multiple Integrals Are Explained In Considerable Detail.Geometrical And Mechanical Applications Of Integration And The Numerical Methods Involved In Computation Of Integrals Are Suitably Highlighted.Each Chapter Includes Several Solved Examples Illustrating The Concepts And Techniques. Many Of These Examples Incorporate The Complete Derivations And Proofs Of The Theorems Discussed In The Text. A Large Number Of Unsolved Problems With Answers Are Also Included.

Energy Principles and Variational Methods in Applied Mechanics

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Author: Junuthula Narasimha Reddy

Publisher: John Wiley & Sons

ISBN: 9780471179856

Category: Science

Page: 592

View: 8364

A systematic presentation of energy principles and variational methods The increasing use of numerical and computational methods in engineering and applied sciences has shed new light on the importance of energy principles and variational methods. Energy Principles and Variational Methods in Applied Mechanics provides a systematic and practical introduction to the use of energy principles, traditional variational methods, and the finite element method to the solution of engineering problems involving bars, beams, torsion, plane elasticity, and plates. Beginning with a review of the basic equations of mechanics and the concepts of work, energy, and topics from variational calculus, this book presents the virtual work and energy principles, energy methods of solid and structural mechanics, Hamilton’s principle for dynamical systems, and classical variational methods of approximation. A unified approach, more general than that found in most solid mechanics books, is used to introduce the finite element method. Also discussed are applications to beams and plates. Complete with more than 200 illustrations and tables, Energy Principles and Variational Methods in Applied Mechanics, Second Edition is a valuable book for students of aerospace, civil, mechanical, and applied mechanics; and engineers in design and analysis groups in the aircraft, automobile, and civil engineering structures, as well as shipbuilding industries.