Contemporary Calculus Through Applications

Contemporary Calculus Through Applications PDF Author: Kevin G. Bartkovich
Publisher:
ISBN: 9780939765874
Category : Mathematics
Languages : en
Pages : 512

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Book Description

Contemporary Calculus Through Applications

Contemporary Calculus Through Applications PDF Author: Kevin G. Bartkovich
Publisher:
ISBN: 9780939765874
Category : Mathematics
Languages : en
Pages : 512

Get Book Here

Book Description


Convex Functions and Their Applications

Convex Functions and Their Applications PDF Author: Constantin P. Niculescu
Publisher: Springer
ISBN: 3319783378
Category : Mathematics
Languages : en
Pages : 430

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Book Description
Thorough introduction to an important area of mathematics Contains recent results Includes many exercises

Advanced Calculus (Revised Edition)

Advanced Calculus (Revised Edition) PDF 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.

Contemporary Calculus I

Contemporary Calculus I PDF Author: Dale Hoffman
Publisher: Lulu.com
ISBN: 1105197190
Category : Education
Languages : en
Pages : 338

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Book Description
This is a textbook for differential calculus with explanations, examples, worked solutions, problem sets and answers. It has been reviewed by calculus instructors and class-tested by them and the author. Topics are typically introduced by way of applications, and the text contains the usual theorems and techniques of a first course in calculus. Besides technique practice and applications of the techniques, the examples and problem sets are also designed to help students develop a visual and conceptual understanding of the main ideas of differential calculus. The exposition and problem sets have been highly rated by reviewers.

Contemporary Calculus

Contemporary Calculus PDF Author: Dale Hoffman
Publisher:
ISBN: 9781494842680
Category :
Languages : en
Pages : 332

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Book Description
A print version of Chapters 0-3 from Dale Hoffman's Contemporary Calculus, an open-source calculus text. These chapters cover the concepts of differential calculus (limits, definition of derivative, differentiation rules, and applications). Newly edited and typeset in LaTeX for improved readability. March 23, 2015, printing corrects 14 minor typos and adds 40 problems. Free PDF version available at: www.contemporarycalculus.com

Contemporary Calculus II

Contemporary Calculus II PDF Author: Dale Hoffman
Publisher: Lulu.com
ISBN: 1105411877
Category : Education
Languages : en
Pages : 375

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Book Description
This is a textbook for integral calculus with explanations, examples, worked solutions, problem sets and answers. It has been reviewed by calculus instructors and class-tested by them and the author. The definite integral is introduced by Riemann sums as a way to evaluate "signed" areas, and the text contains the usual theorems and techniques of a first course in calculus. Besides technique practice and applications of the techniques, the examples and problem sets are also designed to help students develop a visual and conceptual understanding of the main ideas of integral calculus. The exposition and problem sets have been highly rated by reviewers.

Infinite Powers

Infinite Powers PDF Author: Steven Strogatz
Publisher: Mariner Books
ISBN: 1328879984
Category : Biography & Autobiography
Languages : en
Pages : 389

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Book Description
This is the captivating story of mathematics' greatest ever idea: calculus. Without it, there would be no computers, no microwave ovens, no GPS, and no space travel. But before it gave modern man almost infinite powers, calculus was behind centuries of controversy, competition, and even death. Taking us on a thrilling journey through three millennia, professor Steven Strogatz charts the development of this seminal achievement from the days of Aristotle to today's million-dollar reward that awaits whoever cracks Reimann's hypothesis. Filled with idiosyncratic characters from Pythagoras to Euler, Infinite Powers is a compelling human drama that reveals the legacy of calculus on nearly every aspect of modern civilization, including science, politics, ethics, philosophy, and much besides.

Precalculus

Precalculus PDF Author: Jay P. Abramson
Publisher:
ISBN: 9781938168345
Category : Algebra
Languages : en
Pages : 2000

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Book Description
"Precalculus is intended for college-level precalculus students. Since precalculus courses vary from one institution to the next, we have attempted to meet the needs of as broad an audience as possible, including all of the content that might be covered in any particular course. The result is a comprehensive book that covers more ground than an instructor could likely cover in a typical one- or two-semester course; but instructors should find, almost without fail, that the topics they wish to include in their syllabus are covered in the text. Many chapters of OpenStax College Precalculus are suitable for other freshman and sophomore math courses such as College Algebra and Trigonometry; however, instructors of those courses might need to supplement or adjust the material. OpenStax will also be releasing College Algebra and Algebra and trigonometry titles tailored to the particular scope, sequence, and pedagogy of those courses."--Preface.

Calculus in Context

Calculus in Context PDF Author: Alexander Hahn
Publisher: JHU Press
ISBN: 1421422301
Category : Mathematics
Languages : en
Pages : 707

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Book Description
A new approach to teaching calculus that uses historical examples and draws on applications from science and engineering. Breaking the mold of existing calculus textbooks, Calculus in Context draws students into the subject in two new ways. Part I develops the mathematical preliminaries (including geometry, trigonometry, algebra, and coordinate geometry) within the historical frame of the ancient Greeks and the heliocentric revolution in astronomy. Part II starts with comprehensive and modern treatments of the fundamentals of both differential and integral calculus, then turns to a wide-ranging discussion of applications. Students will learn that core ideas of calculus are central to concepts such as acceleration, force, momentum, torque, inertia, and the properties of lenses. Classroom-tested at Notre Dame University, this textbook is suitable for students of wide-ranging backgrounds because it engages its subject at several levels and offers ample and flexible problem set options for instructors. Parts I and II are both supplemented by expansive Problems and Projects segments. Topics covered in the book include: • the basics of geometry, trigonometry, algebra, and coordinate geometry and the historical, scientific agenda that drove their development • a brief, introductory calculus from the works of Newton and Leibniz • a modern development of the essentials of differential and integral calculus • the analysis of specific, relatable applications, such as the arc of the George Washington Bridge; the dome of the Pantheon; the optics of a telescope; the dynamics of a bullet; the geometry of the pseudosphere; the motion of a planet in orbit; and the momentum of an object in free fall. Calculus in Context is a compelling exploration—for students and instructors alike—of a discipline that is both rich in conceptual beauty and broad in its applied relevance.

Contemporary Precalculus

Contemporary Precalculus PDF Author: Thomas W. Hungerford
Publisher: Thomson Brooks/Cole
ISBN: 9780534403386
Category : Functions
Languages : en
Pages : 0

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Book Description
Thomas Hungerford's CONTEMPORARY PRECALCULUS text is highly praised and well respected for its clear writing, outstanding applications problems, and integration of technology. Many adopters like the use of real data in examples and exercises, and they appreciate the flexibility of the book. This market-leading text is now accompanied by an outstanding array of innovative supplements that facilitate teaching and enhance learning.