Integrated Calculus PDF Download

Author: Laura Taalman
Publisher: Houghton Mifflin College Division
ISBN: 9780618219506
Category : Mathematics
Languages : en
Pages : 894

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Book Description
The only text on the market that truly integrates calculus with precalculus and algebra in a two-semester course appropriate for math and science majors, Integrated Calculus uses a student-friendly approach without sacrificing rigor. Students learn about logic and proofs early in the text then apply these skills throughout the course to different types of functions.This combined approach allows students to eliminate a pure precalculus course and focus on calculus, with a "point-of-use" presentation of necessary algebra and precalculus concepts. Algebra and precalculus topics are integrated into the text to provide instruction and review just prior to using these concepts in a calculus context. This helps students see the relevance and connectedness of the mathematics. Because of the text's integration of algebra, limits, and derivatives, students are able to fully review all the components of a specific function. Concept Questions begin each exercise set and test students' understanding of definitions, theorems, and concepts from the reading. The remaining exercises are divided into Skills, Applications, and Proofs sections.

Author: Euler
Publisher: Springer Science & Business Media
ISBN: 0387226451
Category : Mathematics
Languages : en
Pages : 208

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Book Description
The positive response to the publication of Blanton's English translations of Euler's "Introduction to Analysis of the Infinite" confirmed the relevance of this 240 year old work and encouraged Blanton to translate Euler's "Foundations of Differential Calculus" as well. The current book constitutes just the first 9 out of 27 chapters. The remaining chapters will be published at a later time. With this new translation, Euler's thoughts will not only be more accessible but more widely enjoyed by the mathematical community.

Author: Lynn Harold Loomis
Publisher: World Scientific Publishing Company
ISBN: 9814583952
Category : Mathematics
Languages : en
Pages : 595

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Book Description
An authorised reissue of the long out of print classic textbook, Advanced Calculus by the late Dr Lynn Loomis and Dr Shlomo Sternberg both of Harvard University has been a revered but hard to find textbook for the advanced calculus course for decades.This book is based on an honors course in advanced calculus that the authors gave in the 1960's. The foundational material, presented in the unstarred sections of Chapters 1 through 11, was normally covered, but different applications of this basic material were stressed from year to year, and the book therefore contains more material than was covered in any one year. It can accordingly be used (with omissions) as a text for a year's course in advanced calculus, or as a text for a three-semester introduction to analysis.The prerequisites are a good grounding in the calculus of one variable from a mathematically rigorous point of view, together with some acquaintance with linear algebra. The reader should be familiar with limit and continuity type arguments and have a certain amount of mathematical sophistication. As possible introductory texts, we mention Differential and Integral Calculus by R Courant, Calculus by T Apostol, Calculus by M Spivak, and Pure Mathematics by G Hardy. The reader should also have some experience with partial derivatives.In overall plan the book divides roughly into a first half which develops the calculus (principally the differential calculus) in the setting of normed vector spaces, and a second half which deals with the calculus of differentiable manifolds.

Author: Edwin Herman
Publisher:
ISBN: 9781947172838
Category : Calculus
Languages : en
Pages : 0

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Book Description
Calculus is designed for the typical two- or three-semester general calculus course, incorporating innovative features to enhance student learning. The book guides students through the core concepts of calculus and helps them understand how those concepts apply to their lives and the world around them. Due to the comprehensive nature of the material, we are offering the book in three volumes for flexibility and efficiency. Volume 3 covers parametric equations and polar coordinates, vectors, functions of several variables, multiple integration, and second-order differential equations.

Author: Laura Taalman
Publisher: Macmillan Higher Education
ISBN: 1464153027
Category : Mathematics
Languages : en
Pages : 797

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Book Description
Taalman’s Calculus I with Integrated Precalculus helps students with weak mathematical backgrounds be successful in the calculus sequence, without retaking a precalculus course. Taalman’s innovative text is the only book to interweave calculus with precalculus and algebra in a manner suitable for math and science majors— not a rehashing or just-in-time review of precalculus and algebra, but rather a new approach that uses a calculus-level toolbox to examine the structure and behavior of algebraic and transcendental functions. This book was written specifically to tie in with the material covered in Taalman/Kohn Calculus. Students who begin their calculus sequence with Calculus I with Integrated Precalculus can easily continue on to Calculus II using the Taalman/Kohn text.

Author: A.K. Sharma
Publisher: Discovery Publishing House
ISBN: 9788171419685
Category : Calculus, Integral
Languages : en
Pages : 232

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Book Description
This book Text Book of Integral Calculus has been specially written to meet the requirements of B.A./B.Sc., students of all Indian Universities. The subject matter has been discussed in such a simple way that the students will find no difficulty to understand it. The proof of various theorems and examples has been given with minute details. Each chapter of this book contains complete theory and large number of solved examples. Sufficient problems have also been selected from various Indian Universities. Contents: Integration of Trigonometric Functions, Reduction Formulae (Trigonometric Functions).

Author: Gilbert Strang
Publisher:
ISBN: 9781938168062
Category : Calculus
Languages : en
Pages : 824

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Book Description
"Published by OpenStax College, Calculus is designed for the typical two- or three-semester general calculus course, incorporating innovative features to enhance student learning. The book guides students through the core concepts of calculus and helps them understand how those concepts apply to their lives and the world around them. Due to the comprehensive nature of the material, we are offering the book in three volumes for flexibility and efficiency. Volume 2 covers integration, differential equations, sequences and series, and parametric equations and polar coordinates."--BC Campus website.

Author: David M. Bressoud
Publisher: Princeton University Press
ISBN: 0691218781
Category : Mathematics
Languages : en
Pages : 242

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Book Description
Calculus Reordered takes readers on a remarkable journey through hundreds of years to tell the story of how calculus grew to what we know today. David Bressoud explains why calculus is credited to Isaac Newton and Gottfried Leibniz in the seventeenth century, and how its current structure is based on developments that arose in the nineteenth century. Bressoud argues that a pedagogy informed by the historical development of calculus presents a sounder way for students to learn this fascinating area of mathematics. Delving into calculus's birth in the Hellenistic Eastern Mediterranean--especially Syracuse in Sicily and Alexandria in Egypt--as well as India and the Islamic Middle East, Bressoud considers how calculus developed in response to essential questions emerging from engineering and astronomy. He looks at how Newton and Leibniz built their work on a flurry of activity that occurred throughout Europe, and how Italian philosophers such as Galileo Galilei played a particularly important role. In describing calculus's evolution, Bressoud reveals problems with the standard ordering of its curriculum: limits, differentiation, integration, and series. He contends instead that the historical order--which follows first integration as accumulation, then differentiation as ratios of change, series as sequences of partial sums, and finally limits as they arise from the algebra of inequalities--makes more sense in the classroom environment. Exploring the motivations behind calculus's discovery, Calculus Reordered highlights how this essential tool of mathematics came to be.

Author: Robin Joan Gottlieb
Publisher: Addison Wesley Publishing Company
ISBN: 9780201709292
Category : Calculus
Languages : en
Pages : 0

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Book Description
A major complaint of lecturers teaching calculus is that students don't have the appropriate background to work through the calculus course successfully. This text is targeted directly at this underprepared audience. This is a single-variable (2 term) calculus text that incorporates a conceptual re-introduction to key precalculus ideas throughout the exposition as appropriate. This is the ideal resource for those schools dealing with poorly prepared students or for schools introducing a slower paced, integrated precalculus/calculus course. * A careful, intuitive presentation of key calculus and precalculus ideas, stressing the connections between precalculus and calculus, and tying these ideas into real-world situations. * Accessible and interesting to anxious, underprepared calculus students. * Unique, innovative approach that targets a key problem in calculus. * Penetrating, well-constructed examples that get to the heart of the discussion. * Creative exercises and problems. * Use of technology is assumed, but no specific technology is required. * Topics presented analytically and graphically, numerically and verbally (Rule of Four). * Full coverage of single variable calculus (2

Author: Matthew Boelkins
Publisher: Createspace Independent Publishing Platform
ISBN: 9781724458322
Category :
Languages : en
Pages : 560

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Book Description
Active Calculus - single variable is a free, open-source calculus text that is designed to support an active learning approach in the standard first two semesters of calculus, including approximately 200 activities and 500 exercises. In the HTML version, more than 250 of the exercises are available as interactive WeBWorK exercises; students will love that the online version even looks great on a smart phone. Each section of Active Calculus has at least 4 in-class activities to engage students in active learning. Normally, each section has a brief introduction together with a preview activity, followed by a mix of exposition and several more activities. Each section concludes with a short summary and exercises; the non-WeBWorK exercises are typically involved and challenging. More information on the goals and structure of the text can be found in the preface.