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"Calculus"
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Block-Paper-Wrappers
What is the largest-volume rectangular cuboid (henceforth, called a block in this article) that can be completely wrapped with a given rectangular sheet of paper, whose one edge must align with an edge of the cube, without cutting the paper and without leaving any part of the block visible?On the one hand, to make the solution intelligible to younger students, we solve the problem without using calculus. On the other hand, to motivate them to learn calculus, we exhibit how much easier the solution is if one knows calculus.
Journal Article
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.
Book
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.
eBook
Multi-Agent Coordination
Discover the latest developments in multi-robot coordination techniques with this insightful and original resource Multi-Agent Coordination: A Reinforcement Learning Approach delivers a comprehensive, insightful, and unique treatment of the development of multi-robot coordination algorithms with minimal computational burden and reduced storage requirements when compared to traditional algorithms. The accomplished academics, engineers, and authors provide readers with both a high-level introduction to, and overview of, multi-robot coordination, and in-depth analyses of learning-based planning algorithms. You'll learn about how to accelerate the exploration of the team-goal and alternative approaches to speeding up the convergence of TMAQL by identifying the preferred joint action for the team. The authors also propose novel approaches to consensus Q-learning that address the equilibrium selection problem and a new way of evaluating the threshold value for uniting empires without imposing any significant computation overhead. Finally, the book concludes with an examination of the likely direction of future research in this rapidly developing field. Readers will discover cutting-edge techniques for multi-agent coordination, including: An introduction to multi-agent coordination by reinforcement learning and evolutionary algorithms, including topics like the Nash equilibrium and correlated equilibrium Improving convergence speed of multi-agent Q-learning for cooperative task planning Consensus Q-learning for multi-agent cooperative planning The efficient computing of correlated equilibrium for cooperative q-learning based multi-agent planning A modified imperialist competitive algorithm for multi-agent stick-carrying applications Perfect for academics, engineers, and professionals who regularly work with multi-agent learning algorithms, Multi-Agent Coordination: A Reinforcement Learning Approach also belongs on the bookshelves of anyone with an advanced interest in machine learning and artificial intelligence as it applies to the field of cooperative or competitive robotics.
eBook
Calculus : early transcendentals
'Calculus' covers exponential and logarithmic functions. It looks at their limits, derivatives, polynomials and other elementary functions.
Book
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
eBook
The cartoon guide to calculus
Uses cartoons to discuss calculus, covering the basic ideas behind the field, functions, derivatives, integrals, and related topics.
Book
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.
eBook