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Author: Kent Osband
Publisher:
ISBN: 9781734337631
Category :
Languages : en
Pages :
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Book Description
Calculus offers some of the greatest problem-solving methods ever discovered. Anyone who understands basic algebra and geometry can learn it. The main challenge is the triple-D way calculus is usually taught: dry, dull and daunting.Calculus for the Curious offers an alternative. It is short: only two hundred pages. It is colorful and chock full of pictures. It motivates all its concepts through interesting problems and offers the simplest derivation of every result. It also links to dozens of activities on www.geogebra.org that offer vivid demonstrations of how calculus works. Despite its brevity, Calculus for the Curious covers all standard first-year calculus topics and tackles a few challenges that go beyond. Remarkably, it does this without presuming any prior knowledge of standard precalculus. Instead, it introduces basic calculus concepts as useful tools for solving practical problems. It then uses these tools to explain infinite series, logarithms, exponentials, and trigonometric functions. This simplifies a host of clutter.Tired of memorizing a host of unrelated math facts? Tired of formulas with no visible connection to the wonders of our world? Calculus for the Curious will help you restore your love of learning, whether you are teaching yourself or preparing to teach others.
Author: Kent Osband
Publisher:
ISBN: 9781734337631
Category :
Languages : en
Pages :
Get Book Here
Book Description
Calculus offers some of the greatest problem-solving methods ever discovered. Anyone who understands basic algebra and geometry can learn it. The main challenge is the triple-D way calculus is usually taught: dry, dull and daunting.Calculus for the Curious offers an alternative. It is short: only two hundred pages. It is colorful and chock full of pictures. It motivates all its concepts through interesting problems and offers the simplest derivation of every result. It also links to dozens of activities on www.geogebra.org that offer vivid demonstrations of how calculus works. Despite its brevity, Calculus for the Curious covers all standard first-year calculus topics and tackles a few challenges that go beyond. Remarkably, it does this without presuming any prior knowledge of standard precalculus. Instead, it introduces basic calculus concepts as useful tools for solving practical problems. It then uses these tools to explain infinite series, logarithms, exponentials, and trigonometric functions. This simplifies a host of clutter.Tired of memorizing a host of unrelated math facts? Tired of formulas with no visible connection to the wonders of our world? Calculus for the Curious will help you restore your love of learning, whether you are teaching yourself or preparing to teach others.
Author: David G. Wells
Publisher: Penguin Group
ISBN:
Category : Mathematics
Languages : en
Pages : 340
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Book Description
Collection of miscellaneous facts and anecdotes from mathematicians.
Author: Alexander Hahn
Publisher: Springer Science & Business Media
ISBN: 9780387946061
Category : Mathematics
Languages : en
Pages : 572
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Book Description
This introductory calculus text was developed by the author through his teaching of an honors calculus course at Notre Dame. The book develops calculus, as well as the necessary trigonometry and analytic geometry, from witin the relevant historical context, and yet it is not a textbook in the history of mathematics as such. The notation is modern, and the material is selected to cover the basics of the subject. Special emphasis is placed on pedagogy throughout. Whhile emphasizing the broad applications of the subject, emphasis is placed on the mathematical content of the subject.
Author: Frederick Shenstone Woods
Publisher:
ISBN:
Category : Calculus
Languages : en
Pages : 420
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Book Description
Author: Morris Kline
Publisher: Courier Corporation
ISBN: 0486134768
Category : Mathematics
Languages : en
Pages : 962
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Book Description
Application-oriented introduction relates the subject as closely as possible to science with explorations of the derivative; differentiation and integration of the powers of x; theorems on differentiation, antidifferentiation; the chain rule; trigonometric functions; more. Examples. 1967 edition.
Author: Jonathan Laine Bartlett
Publisher: BP Learning
ISBN: 9781944918026
Category : Mathematics
Languages : en
Pages : 458
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Book Description
Calculus from the Ground Up invites readers to become active participants in mathematics-making numbers and symbols the servants of their imaginations in ways they didn't think possible. It is a guidebook for learning not only the bare subject of calculus, but also to discover how its artistry can be applied everywhere else.
Author: Oscar E. Fernandez
Publisher: Princeton University Press
ISBN: 0691175756
Category : Mathematics
Languages : en
Pages : 166
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Book Description
A fun look at calculus in our everyday lives Calculus. For some of us, the word conjures up memories of ten-pound textbooks and visions of tedious abstract equations. And yet, in reality, calculus is fun and accessible, and surrounds us everywhere we go. In Everyday Calculus, Oscar Fernandez demonstrates that calculus can be used to explore practically any aspect of our lives, including the most effective number of hours to sleep and the fastest route to get to work. He also shows that calculus can be both useful—determining which seat at the theater leads to the best viewing experience, for instance—and fascinating—exploring topics such as time travel and the age of the universe. Throughout, Fernandez presents straightforward concepts, and no prior mathematical knowledge is required. For advanced math fans, the mathematical derivations are included in the appendixes. The book features a new preface that alerts readers to new interactive online content, including demonstrations linked to specific figures in the book as well as an online supplement. Whether you're new to mathematics or already a curious math enthusiast, Everyday Calculus will convince even die-hard skeptics to view this area of math in a whole new way.
Author: Frederick Shenstone Woods
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 344
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Book Description
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: Delfim F M Torres
Publisher: World Scientific Publishing Company
ISBN: 184816968X
Category : Mathematics
Languages : en
Pages : 292
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Book Description
This invaluable book provides a broad introduction to the fascinating and beautiful subject of Fractional Calculus of Variations (FCV). In 1996, FVC evolved in order to better describe non-conservative systems in mechanics. The inclusion of non-conservatism is extremely important from the point of view of applications. Forces that do not store energy are always present in real systems. They remove energy from the systems and, as a consequence, Noether's conservation laws cease to be valid. However, it is still possible to obtain the validity of Noether's principle using FCV. The new theory provides a more realistic approach to physics, allowing us to consider non-conservative systems in a natural way. The authors prove the necessary Euler-Lagrange conditions and corresponding Noether theorems for several types of fractional variational problems, with and without constraints, using Lagrangian and Hamiltonian formalisms. Sufficient optimality conditions are also obtained under convexity, and Leitmann's direct method is discussed within the framework of FCV.The book is self-contained and unified in presentation. It may be used as an advanced textbook by graduate students and ambitious undergraduates in mathematics and mechanics. It provides an opportunity for an introduction to FCV for experienced researchers. The explanations in the book are detailed, in order to capture the interest of the curious reader, and the book provides the necessary background material required to go further into the subject and explore the rich research literature./a
