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Atangana, A. & Araz, S. I. (2021). New numerical scheme with newton polynomial: Theory, methods, and applications. Academic.
Atangana, A. & Araz, S. I. (2021). New numerical scheme with newton polynomial: Theory, methods, and applications. Academic.
The book provides a detailed examination of the theory behind this numerical method and its practical applications in solving complex mathematical problems. Atangana and Araz explore various techniques, including stability analysis, convergence properties, and error estimation, to demonstrate how the Newton polynomial can be used to efficiently approximate solutions to differential equations, optimization problems, and other mathematical challenges. This work is essential for researchers, mathematicians, and practitioners looking to enhance their understanding and application of numerical methods.
The book provides a detailed examination of the theory behind this numerical method and its practical applications in solving complex mathematical problems. Atangana and Araz explore various techniques, including stability analysis, convergence properties, and error estimation, to demonstrate how the Newton polynomial can be used to efficiently approximate solutions to differential equations, optimization problems, and other mathematical challenges. This work is essential for researchers, mathematicians, and practitioners looking to enhance their understanding and application of numerical methods.
Augustine, K. (2020). Algebra, statistics and probability: A mathematics book for high schools and colleges. [s.n.]
Augustine, K. (2020). Algebra, statistics and probability: A mathematics book for high schools and colleges. [s.n.]
The book aims to provide a clear and accessible approach to these key areas of mathematics, helping students build a solid foundation for future studies. Augustine introduces algebraic principles, statistical analysis, and probability theory with a focus on practical applications and real-world examples. The content is designed to develop critical thinking and problem-solving skills, making it a valuable resource for anyone looking to strengthen their understanding of these essential mathematical topics.
The book aims to provide a clear and accessible approach to these key areas of mathematics, helping students build a solid foundation for future studies. Augustine introduces algebraic principles, statistical analysis, and probability theory with a focus on practical applications and real-world examples. The content is designed to develop critical thinking and problem-solving skills, making it a valuable resource for anyone looking to strengthen their understanding of these essential mathematical topics.
Debnath, P. (2024). Differential equation based solutions for emerging real-time problems. CRC Press.
Debnath, P. (2024). Differential equation based solutions for emerging real-time problems. CRC Press.
The book addresses how these mathematical tools can be utilized to model, analyze, and provide solutions for a variety of emerging issues in science, engineering, and technology. Debnath provides a comprehensive treatment of differential equations, including their theory, methods, and numerical solutions. Through case studies and practical examples, the book illustrates how differential equations can be used to tackle problems in fields such as environmental science, biology, economics, and physics. This resource is aimed at researchers, engineers, and students interested in applying mathematics to solve complex, real-time problems.
The book addresses how these mathematical tools can be utilized to model, analyze, and provide solutions for a variety of emerging issues in science, engineering, and technology. Debnath provides a comprehensive treatment of differential equations, including their theory, methods, and numerical solutions. Through case studies and practical examples, the book illustrates how differential equations can be used to tackle problems in fields such as environmental science, biology, economics, and physics. This resource is aimed at researchers, engineers, and students interested in applying mathematics to solve complex, real-time problems.
Lal, R. (2021). Algebra 3: Homological algebra and its applications. Springer.
Lal, R. (2021). Algebra 3: Homological algebra and its applications. Springer.
The book covers fundamental concepts such as exact sequences, projective and injective modules, and derived functors, and then extends these ideas to their practical applications. Lal discusses how homological algebra can be applied to solve problems in areas such as representation theory, algebraic geometry, and number theory. The book includes numerous examples, exercises, and applications to illustrate the utility of homological techniques in both theoretical and applied contexts. This work is valuable for researchers, graduate students, and mathematicians seeking a thorough understanding of this key branch of algebra.
The book covers fundamental concepts such as exact sequences, projective and injective modules, and derived functors, and then extends these ideas to their practical applications. Lal discusses how homological algebra can be applied to solve problems in areas such as representation theory, algebraic geometry, and number theory. The book includes numerous examples, exercises, and applications to illustrate the utility of homological techniques in both theoretical and applied contexts. This work is valuable for researchers, graduate students, and mathematicians seeking a thorough understanding of this key branch of algebra.
Miller,J.,ONeill, M. & Hyde, N. (2021). Developmental mathematics pre algebra,beginning algebra, intermediate algebra. McGraw Hill.
Miller,J.,ONeill, M. & Hyde, N. (2021). Developmental mathematics pre algebra,beginning algebra, intermediate algebra. McGraw Hill.
The book covers three levels of algebra: pre-algebra, beginning algebra, and intermediate algebra, providing a progressive learning path that builds a strong mathematical foundation. Each section addresses key topics such as operations with integers, fractions, and decimals, linear equations, inequalities, graphing, polynomials, rational expressions, and systems of equations. The book combines theory with practical examples, exercises, and problem-solving strategies to enhance understanding and prepare students for more advanced mathematical studies. This resource is ideal for students at various levels of learning who are looking to strengthen their algebra skills.
The book covers three levels of algebra: pre-algebra, beginning algebra, and intermediate algebra, providing a progressive learning path that builds a strong mathematical foundation. Each section addresses key topics such as operations with integers, fractions, and decimals, linear equations, inequalities, graphing, polynomials, rational expressions, and systems of equations. The book combines theory with practical examples, exercises, and problem-solving strategies to enhance understanding and prepare students for more advanced mathematical studies. This resource is ideal for students at various levels of learning who are looking to strengthen their algebra skills.
Peterson, J. K. (2020). Basic analysis I: Functions of a real variable. CRC.
Peterson, J. K. (2020). Basic analysis I: Functions of a real variable. CRC.
The book covers fundamental topics such as limits, continuity, differentiation, and integration, which are essential for understanding the behavior of functions. Peterson introduces rigorous mathematical concepts with a clear, accessible style, making it suitable for undergraduate students and self-learners. The text includes detailed explanations, examples, exercises, and proofs to facilitate a deep understanding of the subject. This resource is ideal for those beginning their journey into real analysis and looking to develop a solid grounding in the fundamental principles of calculus and analysis.
The book covers fundamental topics such as limits, continuity, differentiation, and integration, which are essential for understanding the behavior of functions. Peterson introduces rigorous mathematical concepts with a clear, accessible style, making it suitable for undergraduate students and self-learners. The text includes detailed explanations, examples, exercises, and proofs to facilitate a deep understanding of the subject. This resource is ideal for those beginning their journey into real analysis and looking to develop a solid grounding in the fundamental principles of calculus and analysis.
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