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76,256 result(s) for "Calculus"
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Lp-theory for the ∂¯∂-equation and isomorphisms results
We establish an Lploc -existence theorem for the ∂¯∂ -equation on a half-space of Cn . The result is achieved for forms of class Lploc as well as for those forms in the scale of W1,ploc-Sobolev spaces and admitting distributional boundary values. Some isomorphisms and regularity results in relation to de Rham, Bott–Chern, and Aeppli cohomology groups are moreover obtained.
The calculus story : a mathematical adventure
Calculus is the mathematical method for the analysis of things that change, and since in the natural world we are surrounded by change, the development of calculus was a huge breakthrough in the history of mathematics. But it is also something of a mathematical adventure, largely because of the way infinity enters at virtually every twist and turn. In this book, David Acheson presents a wide-ranging picture of calculus and its applications, from ancient Greece right up to the present day.
Quick Calculus
Discover an accessible and easy-to-use guide to calculus fundamentals In Quick Calculus: A Self-Teaching Guide, 3rd Edition , a team of expert MIT educators delivers a hands-on and practical handbook to essential calculus concepts and terms.
On the differential structure of metric measure spaces and applications
The main goals of this paper are: (i) To develop an abstract differential calculus on metric measure spaces by investigating the duality relations between differentials and gradients of Sobolev functions. This will be achieved without calling into play any sort of analysis in charts, our assumptions being: the metric space is complete and separable and the measure is Radon and non-negative. (ii) To employ these notions of calculus to provide, via integration by parts, a general definition of distributional Laplacian, thus giving a meaning to an expression like
Calculus : early transcendentals
'Calculus' covers exponential and logarithmic functions. It looks at their limits, derivatives, polynomials and other elementary functions.
Advanced Calculus
Vector calculus is an essential mathematical tool for performing mathematical analysis of physical and natural phenomena. It is employed in advanced applications in the field of engineering and computer simulations. This textbook covers the fundamental requirements of vector calculus in curricula for college students in mathematics and engineering programs. Chapters start from the basics of vector algebra, real valued functions, different forms of integrals, geometric algebra and the various theorems relevant to vector calculus and differential forms. Readers will find a concise and clear study of vector calculus, along with several examples, exercises, and a case study in each chapter. The solutions to the exercises are also included at the end of the book. This is an ideal book for students with a basic background in mathematics who wish to learn about advanced calculus as part of their college curriculum and equip themselves with the knowledge to apply theoretical concepts in practical situations.
The cartoon guide to calculus
Uses cartoons to discuss calculus, covering the basic ideas behind the field, functions, derivatives, integrals, and related topics.