What Is Calculus About

What is Calculus About  PDF
Author: Walter Warwick Sawyer
Publisher: Mathematical Assn of Amer
Size: 30.34 MB
Category : Calculus.
Languages : en
Pages : 118
View: 6900

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What Is Calculus About

by Walter Warwick Sawyer, What Is Calculus About Books available in PDF, EPUB, Mobi Format. Download What Is Calculus About books, Presents calculus as a tool of both pure and applied sciences; includes exercises and glossary

What Is Calculus About

WHAT IS CALCULUS ABOUT PDF
Author: Walter W. Sawyer
Publisher:
Size: 79.94 MB
Category :
Languages : en
Pages : 118
View: 1566

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What Is Calculus About

by Walter W. Sawyer, What Is Calculus About Books available in PDF, EPUB, Mobi Format. Download What Is Calculus About books,

What Is Calculus About

What is Calculus About  PDF
Author: Walter Warwick Sawyer
Publisher:
Size: 40.98 MB
Category : Calculus
Languages : en
Pages : 118
View: 1243

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What Is Calculus About

by Walter Warwick Sawyer, What Is Calculus About Books available in PDF, EPUB, Mobi Format. Download What Is Calculus About books,

What Is Calculus About

What is Calculus About  PDF
Author: W. W. Sawyer
Publisher:
Size: 56.47 MB
Category :
Languages : en
Pages : 118
View: 1964

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What Is Calculus About

by W. W. Sawyer, What Is Calculus About Books available in PDF, EPUB, Mobi Format. Download What Is Calculus About books,

Introduction To Differential Calculus

Introduction to Differential Calculus PDF
Author: Ulrich L. Rohde
Publisher: John Wiley & Sons
Size: 13.18 MB
Category : Mathematics
Languages : en
Pages : 784
View: 629

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Introduction To Differential Calculus

by Ulrich L. Rohde, Introduction To Differential Calculus Books available in PDF, EPUB, Mobi Format. Download Introduction To Differential Calculus books, Enables readers to apply the fundamentals of differentialcalculus to solve real-life problems in engineering and thephysical sciences Introduction to Differential Calculus fully engages readers bypresenting the fundamental theories and methods of differentialcalculus and then showcasing how the discussed concepts can beapplied to real-world problems in engineering and the physicalsciences. With its easy-to-follow style and accessibleexplanations, the book sets a solid foundation before advancing tospecific calculus methods, demonstrating the connections betweendifferential calculus theory and its applications. The first five chapters introduce underlying concepts such asalgebra, geometry, coordinate geometry, and trigonometry.Subsequent chapters present a broad range of theories, methods, andapplications in differential calculus, including: Concepts of function, continuity, and derivative Properties of exponential and logarithmic function Inverse trigonometric functions and their properties Derivatives of higher order Methods to find maximum and minimum values of a function Hyperbolic functions and their properties Readers are equipped with the necessary tools to quickly learnhow to understand a broad range of current problems throughout thephysical sciences and engineering that can only be solved withcalculus. Examples throughout provide practical guidance, andpractice problems and exercises allow for further development andfine-tuning of various calculus skills. Introduction toDifferential Calculus is an excellent book for upper-undergraduatecalculus courses and is also an ideal reference for students andprofessionals alike who would like to gain a further understandingof the use of calculus to solve problems in a simplifiedmanner.

What Is Calculus

What is Calculus  PDF
Author: R Michael Range
Publisher: World Scientific Publishing Company
Size: 30.31 MB
Category : Mathematics
Languages : en
Pages : 372
View: 4004

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What Is Calculus

by R Michael Range, What Is Calculus Books available in PDF, EPUB, Mobi Format. Download What Is Calculus books, This unique book provides a new and well-motivated introduction to calculus and analysis, historically significant fundamental areas of mathematics that are widely used in many disciplines. It begins with familiar elementary high school geometry and algebra, and develops important concepts such as tangents and derivatives without using any advanced tools based on limits and infinite processes that dominate the traditional introductions to the subject. This simple algebraic method is a modern version of an idea that goes back to René Descartes and that has been largely forgotten. Moving beyond algebra, the need for new analytic concepts based on completeness, continuity, and limits becomes clearly visible to the reader while investigating exponential functions. The author carefully develops the necessary foundations while minimizing the use of technical language. He expertly guides the reader to deep fundamental analysis results, including completeness, key differential equations, definite integrals, Taylor series for standard functions, and the Euler identity. This pioneering book takes the sophisticated reader from simple familiar algebra to the heart of analysis. Furthermore, it should be of interest as a source of new ideas and as supplementary reading for high school teachers, and for students and instructors of calculus and analysis.

Calculus A Rigorous First Course

Calculus  A Rigorous First Course PDF
Author: Daniel J. Velleman
Publisher: Courier Dover Publications
Size: 27.98 MB
Category : Mathematics
Languages : en
Pages : 736
View: 758

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Calculus A Rigorous First Course

by Daniel J. Velleman, Calculus A Rigorous First Course Books available in PDF, EPUB, Mobi Format. Download Calculus A Rigorous First Course books, Designed for undergraduate mathematics majors, this rigorous and rewarding treatment covers the usual topics of first-year calculus: limits, derivatives, integrals, and infinite series. Author Daniel J. Velleman focuses on calculus as a tool for problem solving rather than the subject's theoretical foundations. Stressing a fundamental understanding of the concepts of calculus instead of memorized procedures, this volume teaches problem solving by reasoning, not just calculation. The goal of the text is an understanding of calculus that is deep enough to allow the student to not only find answers to problems, but also achieve certainty of the answers' correctness. No background in calculus is necessary. Prerequisites include proficiency in basic algebra and trigonometry, and a concise review of both areas provides sufficient background. Extensive problem material appears throughout the text and includes selected answers. Complete solutions are available to instructors.

Calculus Illustrated Volume 1 Precalculus

Calculus Illustrated  Volume 1  Precalculus PDF
Author: Peter Saveliev
Publisher: Peter Saveliev
Size: 45.26 MB
Category : Mathematics
Languages : en
Pages : 512
View: 1339

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Calculus Illustrated Volume 1 Precalculus

by Peter Saveliev, Calculus Illustrated Volume 1 Precalculus Books available in PDF, EPUB, Mobi Format. Download Calculus Illustrated Volume 1 Precalculus books, Mathematical thinking is visual. The exposition in this book is driven by its illustrations; there are over 600 of them. Calculus is hard. Many students are too late to discover that they could have used a serious precalculus course. The book is intended for self-study and includes only the topics that are absolutely unavoidable. This is the first volume of the series Calculus Illustrated.

Introduction To Integral Calculus

Introduction to Integral Calculus PDF
Author: Ulrich L. Rohde
Publisher: John Wiley & Sons
Size: 38.47 MB
Category : Mathematics
Languages : en
Pages : 432
View: 2296

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Introduction To Integral Calculus

by Ulrich L. Rohde, Introduction To Integral Calculus Books available in PDF, EPUB, Mobi Format. Download Introduction To Integral Calculus books, An accessible introduction to the fundamentals of calculusneeded to solve current problems in engineering and the physicalsciences I ntegration is an important function of calculus, andIntroduction to Integral Calculus combines fundamental conceptswith scientific problems to develop intuition and skills forsolving mathematical problems related to engineering and thephysical sciences. The authors provide a solid introduction tointegral calculus and feature applications of integration,solutions of differential equations, and evaluation methods. Withlogical organization coupled with clear, simple explanations, theauthors reinforce new concepts to progressively build skills andknowledge, and numerous real-world examples as well as intriguingapplications help readers to better understand the connectionsbetween the theory of calculus and practical problem solving. The first six chapters address the prerequisites needed tounderstand the principles of integral calculus and explore suchtopics as anti-derivatives, methods of converting integrals intostandard form, and the concept of area. Next, the authors reviewnumerous methods and applications of integral calculus,including: Mastering and applying the first and second fundamental theoremsof calculus to compute definite integrals Defining the natural logarithmic function using calculus Evaluating definite integrals Calculating plane areas bounded by curves Applying basic concepts of differential equations to solveordinary differential equations With this book as their guide, readers quickly learn to solve abroad range of current problems throughout the physical sciencesand engineering that can only be solved with calculus. Examplesthroughout provide practical guidance, and practice problems andexercises allow for further development and fine-tuning of variouscalculus skills. Introduction to Integral Calculus is an excellentbook for upper-undergraduate calculus courses and is also an idealreference for students and professionals who would like to gain afurther understanding of the use of calculus to solve problems in asimplified manner.

Approximately Calculus

Approximately Calculus PDF
Author: Shahriar Shahriari
Publisher: American Mathematical Soc.
Size: 32.94 MB
Category : Mathematics
Languages : en
Pages : 292
View: 1472

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Approximately Calculus

by Shahriar Shahriari, Approximately Calculus Books available in PDF, EPUB, Mobi Format. Download Approximately Calculus books, Is there always a prime number between $n$ and $2n$? Where, approximately, is the millionth prime? And just what does calculus have to do with answering either of these questions? It turns out that calculus has a lot to do with both questions, as this book can show you. The theme of the book is approximations. Calculus is a powerful tool because it allows us to approximate complicated functions with simpler ones. Indeed, replacing a function locally with a linear--or higher order--approximation is at the heart of calculus. The real star of the book, though, is the task of approximating the number of primes up to a number $x$. This leads to the famous Prime Number Theorem--and to the answers to the two questions about primes. While emphasizing the role of approximations in calculus, most major topics are addressed, such as derivatives, integrals, the Fundamental Theorem of Calculus, sequences, series, and so on. However, our particular point of view also leads us to many unusual topics: curvature, Pade approximations, public key cryptography, and an analysis of the logistic equation, to name a few. The reader takes an active role in developing the material by solving problems. Most topics are broken down into a series of manageable problems, which guide you to an understanding of the important ideas. There is also ample exposition to fill in background material and to get you thinking appropriately about the concepts. Approximately Calculus is intended for the reader who has already had an introduction to calculus, but wants to engage the concepts and ideas at a deeper level. It is suitable as a text for an honors or alternative second semester calculus course.

Vorlesungen Ber Differential Und Integralrechnung

Vorlesungen   ber Differential  und Integralrechnung PDF
Author: Richard Courant
Publisher: Springer-Verlag
Size: 15.70 MB
Category : Mathematics
Languages : de
Pages : 410
View: 4464

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Vorlesungen Ber Differential Und Integralrechnung

by Richard Courant, Vorlesungen Ber Differential Und Integralrechnung Books available in PDF, EPUB, Mobi Format. Download Vorlesungen Ber Differential Und Integralrechnung books, Dieser Buchtitel ist Teil des Digitalisierungsprojekts Springer Book Archives mit Publikationen, die seit den Anfängen des Verlags von 1842 erschienen sind. Der Verlag stellt mit diesem Archiv Quellen für die historische wie auch die disziplingeschichtliche Forschung zur Verfügung, die jeweils im historischen Kontext betrachtet werden müssen. Dieser Titel erschien in der Zeit vor 1945 und wird daher in seiner zeittypischen politisch-ideologischen Ausrichtung vom Verlag nicht beworben.

Teaching And Learning Of Calculus

Teaching and Learning of Calculus PDF
Author: David Bressoud
Publisher: Springer
Size: 15.37 MB
Category : Education
Languages : en
Pages : 37
View: 6195

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Teaching And Learning Of Calculus

by David Bressoud, Teaching And Learning Of Calculus Books available in PDF, EPUB, Mobi Format. Download Teaching And Learning Of Calculus books, This survey focuses on the main trends in the field of calculus education. Despite their variety, the findings reveal a cornerstone issue that is strongly linked to the formalism of calculus concepts and to the difficulties it generates in the learning and teaching process. As a complement to the main text, an extended bibliography with some of the most important references on this topic is included. Since the diversity of the research in the field makes it difficult to produce an exhaustive state-of-the-art summary, the authors discuss recent developments that go beyond this survey and put forward new research questions.

Analysis Ii F R Dummies

Analysis II f  r Dummies PDF
Author: Zegarelli
Publisher: John Wiley & Sons
Size: 62.93 MB
Category : Mathematics
Languages : de
Pages : 358
View: 5622

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Analysis Ii F R Dummies

by Zegarelli, Analysis Ii F R Dummies Books available in PDF, EPUB, Mobi Format. Download Analysis Ii F R Dummies books, 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.

Mathematical Thinking And Problem Solving

Mathematical Thinking and Problem Solving PDF
Author: Alan H. Schoenfeld
Publisher: Routledge
Size: 41.37 MB
Category : Education
Languages : en
Pages : 360
View: 1921

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Mathematical Thinking And Problem Solving

by Alan H. Schoenfeld, Mathematical Thinking And Problem Solving Books available in PDF, EPUB, Mobi Format. Download Mathematical Thinking And Problem Solving books, In the early 1980s there was virtually no serious communication among the various groups that contribute to mathematics education -- mathematicians, mathematics educators, classroom teachers, and cognitive scientists. Members of these groups came from different traditions, had different perspectives, and rarely gathered in the same place to discuss issues of common interest. Part of the problem was that there was no common ground for the discussions -- given the disparate traditions and perspectives. As one way of addressing this problem, the Sloan Foundation funded two conferences in the mid-1980s, bringing together members of the different communities in a ground clearing effort, designed to establish a base for communication. In those conferences, interdisciplinary teams reviewed major topic areas and put together distillations of what was known about them.* A more recent conference -- upon which this volume is based -- offered a forum in which various people involved in education reform would present their work, and members of the broad communities gathered would comment on it. The focus was primarily on college mathematics, informed by developments in K-12 mathematics. The main issues of the conference were mathematical thinking and problem solving.