Introduction to Differential Calculus 1st Edition by Ulrich L. Rohde, 2012
The Introduction to Differential Calculus demonstrates the fundamental theories and methods of di... more The Introduction to Differential Calculus demonstrates the fundamental theories and methods of differential calculus and explains how these concepts can be applied to real-world problems in engineering and the physical sciences. The book provides easy-to-follow explanations and sets a solid foundation before diving into specific calculus methods, showing the connections between differential calculus theory and its practical applications.
Introduction to Differential Calculus 1st Edition by Ulrich L. Rohde, 2012
The Introduction to Differential Calculus demonstrates the fundamental theories and methods of di... more The Introduction to Differential Calculus demonstrates the fundamental theories and methods of differential calculus and explains how these concepts can be applied to real-world problems in engineering and the physical sciences. The book provides easy-to-follow explanations and sets a solid foundation before diving into specific calculus methods, showing the connections between differential calculus theory and its practical applications.
The Hyperbolic Metric and Geometric Function Theory by D. Minda and A. Beardon
The goal is to present an introduction to the hyperbolic metric and various forms of the Schwarz-... more The goal is to present an introduction to the hyperbolic metric and various forms of the Schwarz-Pick Lemma. As a consequence we obtain a number of results in geometric function theory.
Geodesics of Riemannian Complex Hyperbolic Plane by Marijana Babi´c
The complex hyperbolic plane is a symmetric space of negative sectional curvature; hence, it has ... more The complex hyperbolic plane is a symmetric space of negative sectional curvature; hence, it has the structure of a 4-dimensional connected solvable real Lie group with a left-invariant metric. We consider all non-isometric left-invariant Riemannian metrics on this group, denoted by CH 2 , and search for real geodesics corresponding to them. Using Euler-Arnold equations, one can translate the second-order differential equations of the geodesics on the group into the first-order equations on its Lie algebra. In the Kähler case we solve these equations on the Lie algebra of CH 2 , i.e. we explicitly find curves on algebra corresponding to the geodesics of the standard Einstein metric. Numerical solutions are used to visualize geodesic lines and geodesic spheres of various left-invariant Riemannian metrics.
Some Differential Subordination and Superordination Properties of Symmetric Functions by Dr. Ali Muhammad , 2011
In this paper, we study the interesting properties of differential subordination and superordinat... more In this paper, we study the interesting properties of differential subordination and superordination for the classes of symmetric functions analytic in the unit disc. We derive sandwich results on the basis of this theory.
Game theory is the study of strategic decision-making in situations where outcomes depend on mult... more Game theory is the study of strategic decision-making in situations where outcomes depend on multiple individuals' actions, providing a framework for analyzing and predicting behavior in competitive and cooperative situations. It involves understanding games, strategies, and payoffs, with the goal of reaching optimal outcomes like Nash Equilibrium, where no player can improve their payoff by changing their strategy, or Pareto Optimality, where no player can improve their payoff without worsening another's. By examining these concepts and their applications, game theory sheds light on complex interactions and decision-making processes in fields like economics, politics, sociology, and biology. These papers contains introduction to Game Theory Basics.
This paper examines the relationship between Hardy-Ramanujan partition theory and linear Diophant... more This paper examines the relationship between Hardy-Ramanujan partition theory and linear Diophantine problems. We illustrate how the insights and techniques from partition theory can be applied to address complex linear Diophantine problems, offering innovative solutions and new perspectives on traditional outcomes. Our work uncovers the significant impact of Hardy-Ramanujan partition theory on number theory and its practical applications, revealing the deep connections between additive and multiplicative number theory. The findings presented here have broad implications for various fields, including cryptography, coding theory, and computer science.
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