Designed specifically for business, economics, or life/social sciences majors, BRIEF CALCULUS: AN APPLIED APPROACH, Ninth Edition, motivates students while fostering understanding and mastery. This brief book emphasizes integrated and engaging applications that show students the real-world relevance of topics and concepts. Applied problems drawn from government sources, industry, current events, and other disciplines provide well-rounded examples and appeal to students’ diverse interests. The Ninth Edition builds upon its applications emphasis through updated exercises and relevant examples. Pedagogical features--from algebra review to study tips--continue to provide extra guidance and practice. In addition, the BRIEF CALCULUS program offers a strong support package--including Enhanced WebAssign and the book’s website, CourseMate--that allows students to review the material independently and retain key concepts. Important Notice: Media content referenced within the product description or the product text may not be available in the ebook version.
This accessible introduction to Calculus is designed to demonstrate how calculus applies to various fields of study. The text is packed with real data and real-life applications to business, economics, social and life sciences. Applications using real data enhances student motivation. Many of these applications include source lines, to show how mathematics is used in the real world. NEW! Conceptual problems ask students to put the concepts and results into their own words. These problems are marked with an icon to make them easier to assign. More opportunities for the use of graphing calculator, including screen shots and instructions, and the use of icons that clearly identify each opportunity for the use of spreadsheets or graphing calculator. Work problems appear throughout the text, giving the student the chance to immediately reinforce the concept or skill they have just learned. Chapter Reviews contain a variety of features to help synthesize the ideas of the chapter, including: Objectives Check, Important Terms and Concepts, True-False Items, Fill in the Blanks and Review Exercises. Includes Mathematical Questions from Professional Exams (CPA)
Never Highlight a Book Again! Just the FACTS101 study guides give the student the textbook outlines, highlights, practice quizzes and optional access to the full practice tests for their textbook.
Designed specifically for business, economics, or life/social sciences majors, BRIEF CALCULUS: AN APPLIED APPROACH, 8e, motivates students while fostering understanding and mastery. This brief text emphasizes integrated and engaging applications that show students the real-world relevance of topics and concepts. Several pedagogical features—from algebra review to study tips—provide extra guidance and practice. The Eighth Edition builds upon its applications emphasis through updated exercises and relevant examples. Applied problems drawn from government sources, industry, current events, and other disciplines provide well-rounded examples and appeal to diverse interests. This Enhanced Edition includes instant access to Enhanced WebAssign, the most widely-used and reliable homework system. Enhanced WebAssign presents over a thousand problems, links to relevant textbook sections, video examples, problem-specific tutorials, and more, that help students grasp the concepts needed to succeed in this course. As an added bonus, the Start Smart Guide has been bound into this text. This guide contains instructions to help students learn the basics of WebAssign quickly. Important Notice: Media content referenced within the product description or the product text may not be available in the ebook version.
Facts101 is your complete guide to Brief Calculus, An Applied Approach, Enhanced Edition. In this book, you will learn topics such as as those in your book plus much more. With key features such as key terms, people and places, Facts101 gives you all the information you need to prepare for your next exam. Our practice tests are specific to the textbook and we have designed tools to make the most of your limited study time.
Designed specifically for business, economics, or life/social sciences majors, CALCULUS: AN APPLIED APPROACH, BIREF, Tenth Edition, motivates your study while fostering understanding and mastery. The book emphasizes integrated and engaging applications that show you the real-world relevance of topics and concepts. Applied problems drawn from government sources, industry, current events, and other disciplines provide well-rounded examples and appeal to diverse interests. The Tenth Edition builds upon its applications emphasis through updated exercises and relevant examples. Throughout the text, features such as algebra review and study tips,- provide you with extra guidance and practice. Stepped-out solution videos with instruction are available at CalcView.com for selected exercises throughout the text. Additionally, the companion website, LarsonAppliedCalculus.com, offers free access to multiple tools and resources. CalcChat.com offers free step-by-step solutions to the odd-numbered exercises in the text. Important Notice: Media content referenced within the product description or the product text may not be available in the ebook version.
Designed specifically for business, economics, or life/social sciences majors, CALCULUS: AN APPLIED APPROACH, Tenth Edition, motivates your study while fostering understanding and mastery. The book emphasizes integrated and engaging applications that show you the real-world relevance of topics and concepts. Applied problems drawn from government sources, industry, current events, and other disciplines provide well-rounded examples and appeal to diverse interests. The Tenth Edition builds upon its applications emphasis through updated exercises and relevant examples. Throughout the text, features such as algebra review and study tips,- provide you with extra guidance and practice. Stepped-out solution videos with instruction are available at CalcView.com for selected exercises throughout the text. Additionally, the companion website, LarsonAppliedCalculus.com, offers free access to multiple tools and resources. CalcChat.com offers free step-by-step solutions to the odd-numbered exercises in the text. Important Notice: Media content referenced within the product description or the product text may not be available in the ebook version.
This accessible introduction to Calculus is designed to demonstrate how calculus applies to various fields of study. The text is packed with real data and real-life applications to business, economics, social and life sciences. Applications using real data enhances student motivation. Many of these applications include source lines, to show how mathematics is used in the real world. NEW! Conceptual problems ask students to put the concepts and results into their own words. These problems are marked with an icon to make them easier to assign. More opportunities for the use of graphing calculator, including screen shots and instructions, and the use of icons that clearly identify each opportunity for the use of spreadsheets or graphing calculator. Work problems appear throughout the text, giving the student the chance to immediately reinforce the concept or skill they have just learned. Chapter Reviews contain a variety of features to help synthesize the ideas of the chapter, including: Objectives Check, Important Terms and Concepts, True-False Items, Fill in the Blanks and Review Exercises. Includes Mathematical Questions from Professional Exams (CPA)
COLLEGE ALGEBRA AND CALCULUS: AN APPLIED APPROACH, Second Edition provides your students a comprehensive resource for their college algebra and applied calculus courses. The mathematical concepts and applications are consistently presented in the same tone and pedagogy to promote confidence and a smooth transition from one course to the next. The consolidation of content for two courses in a single text saves you time in your course--and saves your students the cost of an extra textbook. Important Notice: Media content referenced within the product description or the product text may not be available in the ebook version.
The MznLnx Exam Prep series is designed to help you pass your exams. Editors at MznLnx review your textbooks and then prepare these practice exams to help you master the textbook material. Unlike study guides, workbooks, and practice tests provided by the texbook publisher and textbook authors, MznLnx gives you all of the material in each chapter in exam form, not just samples, so you can be sure to nail your exam.
Reflecting Cengage Learning's commitment to offering value for students, these new hybrid versions feature the instructional presentation found in CALCULUS AN APPLIED APPROACH, Ninth Edition while delivering all of end-of-section exercises online in Enhanced WebAssign. Access to Enhanced WebAssign includes the premium eBook, giving you an interactive learning experience with the convenience of a text that is both brief and affordable. Designed specifically for business, economics, or life/social sciences majors, CALCULUS: AN APPLIED APPROACH, Ninth Edition, motivates your study while fostering understanding and mastery. The book emphasizes integrated and engaging applications that show you the real-world relevance of topics and concepts. Applied problems drawn from government sources, industry, current events, and other disciplines provide well-rounded examples and appeal to diverse interests. The Ninth Edition builds upon its applications emphasis through updated exercises and relevant examples. Pedagogical features--from algebra review to study tips--continue to provide you with extra guidance and practice.
47 brauchen nur den Nenner n so groß zu wählen, daß das Intervall [0, IJn] kleiner wird als das fragliche Intervall [A, B], dann muß mindestens einer der Brüche m/n innerhalb des Intervalls liegen. Also kann es kein noch so kleines Intervall auf der Achse geben, das von rationalen Punkten frei wäre. Es folgt weiterhin, daß es in jedem Intervall unendlich viele rationale Punkte geben muß; denn wenn es nur eine endliche Anzahl gäbe, so könnte das Intervall zwischen zwei beliebigen benachbarten Punkten keine rationalen Punkte enthalten, was, wie wir eben sahen, unmöglich ist. § 2. Inkommensurable Strecken, irrationale Zahlen und der Grenzwertbegriff 1. Einleitung Vergleicht man zwei Strecken a und b hinsichtlich ihrer Größe, so kann es vor kommen, daß a in b genau r-mal enthalten ist, wobei r eine ganze Zahl darstellt. In diesem Fall können wir das Maß der Strecke b durch das von a ausdrücken, indem wir sagen, daß die Länge von b das r-fache der Länge von a ist.
"Angewandte Mathematik: Body & Soul" ist ein neuer Grundkurs in der Mathematikausbildung für Studienanfänger in den Naturwissenschaften, der Technik, und der Mathematik, der an der Chalmers Tekniska Högskola in Göteborg entwickelt wurde. Er besteht aus drei Bänden sowie Computer-Software. Das Projekt ist begründet in der Computerrevolution, die ihrerseits völlig neue Möglichkeiten des wissenschaftlichen Rechnens in der Mathematik, den Naturwissenschaften und im Ingenieurwesen eröffnet hat. Es besteht aus einer Synthese der mathematischen Analysis (Soul) mit der numerischen Berechnung (Body) sowie den Anwendungen. Die Bände I-III geben eine moderne Version der Analysis und der linearen Algebra wieder, einschließlich konstruktiver numerischer Techniken und Anwendungen, zugeschnitten auf Anfängerprogramme im Maschinenbau und den Naturwissenschaften. Weitere Bände behandeln Themen wie z.B. dynamische Systeme, Strömungsdynamik, Festkörpermechanik und Elektromagnetismus. Dieser Band entwickelt das Riemann-Integral, um eine Funktion zu einer gegebenen Ableitung zu bestimmen. Darauf aufbauend werden Differentialgleichungen und Anfangswertprobleme mit einer Vielzahl anschaulicher Anwendungen behandelt. Die lineare Algebra wird auf n-dimensionale Räume verallgemeinert, wobei wiederum dem praktischen Umgang und numerischen Lösungstechniken besonderer Platz eingeräumt wird. Die Autoren sind führende Experten im Gebiet des wissenschaftlichen Rechnens und haben schon mehrere erfolgreiche Bücher geschrieben. "[......] Oh, by the way, I suggest immediate purchase of all three volumes!" The Mathematical Association of America Online, 7.7.04
This textbook succeeds like no other in providing a clear explanation of microeconomic theory while also elucidating how to interpret analytical results. The new edition has been expanded with a chapter on econometrics. In addition, it includes new examples of applied microeconomics based on Silicon Valley firms.
This resource provides a brief introduction to Excel and specialized, step-by-step instructions on how to use Excel to explore calculus concepts.

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