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[Book]
This Pre-Calculus book, \textbf{Equations and Inequalities}, marks a significant step forward in integrating artificial intelligence into educational resources. Created with up to $50\%$ assistance from AI, it leverages advanced tools to provide a wealth of solved exercises, illustrative examples, and insightful tips that make understanding equations and inequalities accessible and engaging for learners at all levels.
The structured layout of the book, combined with its vast array of graphics, aims to demystify complex mathematical concepts through clear, visual explanations. Readers are guided through progressive levels of problem-solving, with hints provided to foster independent thinking and a deep comprehension of each topic.
This book is designed to meet the needs of school, college, and first-year university students in science, engineering, business, and other majors. Offering comprehensive coverage and practical guidance provides a solid foundation for students from various fields to develop essential mathematical skills.
This approach enhances traditional learning methods and embraces a modern paradigm where AI is an invaluable partner in education. The book empowers learners to build strong mathematical foundations, adapt to new problem-solving techniques, and gain confidence in tackling challenging questions by offering step-by-step solutions and strategies.
We hope that the book \textbf{Equations and Inequalities} inspires readers to explore mathematics with curiosity and determination and appreciate technology's evolving role in transforming how we learn and teach.
Mostafa Zahri Sharjah (UAE), January 2024 |
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Book title: Equations and Inequalities: Artificial Intelligence assisted Book
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[Book]
In this book, a pragmatic deal with disease prevention and health promotion is proposed by different authors through safe environment and healthy lifestyle, physical activity and weight control, herbal medicine and mathematical modelling for communicable and non communicable diseases. Authors showed that reducing health inequalities and ensuring wellbeing for the whole population needs efficient action on social determinants of health such as income, education, gender, marital status, employment, ethnicity, milieu of residence, territorial context and general environment conditions. In this chapter, we present a computational study of multi-dimensional stochastic systems of differential equations. Especially competitive and evolutionary models. In these types of models, a certain number of uncertainties are causing side effects as random excitations and interactions. To numerically solve the considered systems, we propose the Itô-Taylor family schemes for multi-dimensional stochastic differential equations. Either for systems driven by one white noise or for systems having more than one source of excitations. A first-order accuracy is ensured in the approximation of double Itô integrals by using a truncation in the Fourier series expansion. To verify the accuracy of the proposed method, we consider a system of two stochastic differential equations with known analytical solution. Numerical results are presented for a reduced prototype system of the prebiotic evolutionary model.
Mostafa Zahri Sharjah (UAE), January 2020 |
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Book title: Disease Prevention and Health Promotion in Developing Countries
Publisher: Springer (January 2020),
Language: English ,
ISBN: 978-3-030-34702-4,
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Introduction to Mathematics (Fourth Edition) is the first Mathematics course offered at Taibah University for all science sections.
Mostafa Zahri and Hisham Rafat Compiled the Textbook on behalf of the Preparatory Year Deanship of Taibah University Madinah, June 2018 |
links Book title: Introduction to Mathematics
Publisher PEARSON,Taibah University, Preparatory Year. (August 2018),
Language: English,
ISBN 978-1-78726-053-5
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Introduction to Mathematics (Third Edition) is the first Mathematics course offered at Taibah University for all science sections.
Mostafa Zahri and Hisham Rafat Compiled the Textbook on behalf of the Preparatory Year Deanship of Taibah University Madinah, June 2017 |
links Book title: Introduction to Mathematics
Publisher PEARSON,Taibah University, Preparatory Year. (August 2017),
Language: English,
ISBN 978-1-78726-053-5
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Introduction to Mathematics (Second Edition) is the first Mathematics course offered at Taibah University for all science sections.
Mostafa Zahri and Hisham Rafat Compiled the Textook on behalf of the Preparatory Year Deanship of Taibah University Madinah, August 2016 |
links Book title: Introduction to Mathematics
Publisher PEARSON,Taibah University, Preparatory Year. (August 2016),
Language: English,
ISBN 978-1-78447-984-8
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Introduction to Mathematics is the first Mathematics course offered at Taibah University for all science sections.
Mostafa Zahri and Hisham Rafat Compiled of the Textbook on behalf of the Preparatory Year Deanship of Taibah University Madinah, August 2015 |
links Book title: Introduction to Mathematics
Publisher PEARSON,Taibah University, Preparatory Year. (August 2015),
Language: English,
ISBN 978-1-78447-984-8
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Calculus is an important Key to the study of science. Any student should at least be acquainted with the ideas of calculus, and a scientifically literate student must know calculus solidly. Moreover, it is important to note that in recent years, calculus has become a required course not only for mathematics, engineering, computer science, chemistry, biology and physics majors, but also for medicine students, economics, psychology, and business. Even more and more high schools are encouraging the students to study calculus. This Textbook starts from the beginning, assuming very little mathematical Background. It has two main aspects: Pre-calculus and the classical calculus. In other words, this book contains in the Pre-Calculus part an interesting revision of the school mathematics, followed in the second part by the study of the main subjects of calculus, namely limits, continuity, differential and integral methods. The ideal way to use this book is to understand the examples and to regularly solve the text homework. Well-chosen examples and cognate exercises will reinforce the ideas being presented. Frequent review, assessment, and application of the learned methods will help each student to retain and to internalize all the important concepts of calculus. The Preparatory Year Deanship of Taibah University in Al Madinah aims to compile modern, compact and simple formulated Textbooks to facilitate the road to the strong specialty studies. Therefore, the students are encouraged to use this book as a main reference in the first year, which also should be a valuable addition to the self-help literature and a cornerstone of a series of elementary mathematics books of the same tenor and utility. Mostafa Zahri, Compiles of the Textbook on behalf of the Preparatory Year Deanship of Taibah University Madinah, May 2013 |
links Book title: Introduction to Calculus
Publisher PEARSON,Taibah University, Preparatory Year. (August 2013),
Language: English,
ISBN 978-1-78365-468-0
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Second Edition of the first one
Mostafa Zahri, Compiles of the Textbook on behalf of the Preparatory Year Deanship of Taibah University Madinah, June 2014 |
links Book title: Introduction to Calculus
Publisher PEARSON,Taibah University, Preparatory Year. (September 2014),
Language: English,
ISBN 978-1-78365-468-0
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[Book]
Genauso wie die Gewöhnliche Differentialgleichungen (ODEs) spielen die stochastischen Differentialgleichungen (SDE) bei der mathematischen Modellierung der zeitlichen Entwicklung von Prozesse aus den Natur-, Ingenieur- oder auch den Wirtschaftswissenschaften, die durch zufällige Einflüsse geprägt sind, eine wesentliche Rolle. Aufgrund der neuen Begriff der Differenzierbarkeit unter Verwendung der Itô-Formel besitzen stochastische Differentialgleichungen grundlegend andere analytische Eigenschaften als die ihnen formal ähnlichen gewöhnlichen Differentialgleichungen. Daher sind auch zu ihrer numerischen Behandlung spezielle Techniken erforderlich. Der Indeterminismus vieler Probleme der Natur- und Wirtschaftswissenschaften wird in vielen Fällen Mittels stochastischen Differentialgleichungen (SDE) modelliert und analysiert worden. Weil man solche Gleichungen nicht immer exakt lösen könnte, ist die Notwendigkeit der Durchführung numerischer Verfahren. Im Gegensatz zum klassischen und Ordnung eins Euler Verfahren, hat das stochastische Verfahren Ordnung 0,5. In dieser Arbeit handel es sich um eine Effiziente Implementierung von Milstein Verfahren (Ordnung eins) zur Simulation von Systemen stochastischer Differentialgleichungen, die die Approximation des doppelfachen Itô Integrales verlangt. Mostafa Zahri Frankfurt October 2009 |
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Book title: Numerische Lösung stochastischer Differentialgleichungen (SDE):
Effiziente Implementierung des stochastischen Taylor-Verfahrens zur
Approximation von Lösungen mehrdimensionalen SDE
Publisher: VDM Verlag (23. Oktober 2009),
Sprache: Deutsch,
ISBN-10: 363920879X,
ISBN-13: 978-3639208795
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[Book]
The mathematics of emergence is a recent topic of research in the modeling of population dynamics. Many scientists take this challenge and analyzed these phenomena in many contexts such as flocking, schooling, swarming? They have described the collective moves in groups by many continuous and discrete models in form of non linear discrete systems or differential equations. The model presented here gives a new idea of rules of self-organizing groups based on the local energy. One asks: What is the importance of the energy as a rule of moves in systems of multi-agents? Which influences have the social and the spatial characteristics of agents' energy in a population? If we suppose that each agent wants to minimize his local energy produced from local interactions, what will happen after a large number of interactions? This work gives a new point of view concerning the rule of moves produced by local interactions in population. In several other contexts, scientists have modeled and analyzed the phenomena of multi-agents systems interactions in biological, ecological, and sociological systems. They have proved that the emergence behaviors of such populations have complex natural and social backgrounds. Our work is a contribution to the challenging of the modeling of population's emergence and dynamics. It presents an energy-based model of condensing sequences on metric spaces. The local epsilon energy of individuals presents a motif of local moves for all agents. Each singular move causes a reorganizing of all member of the group by decreasing the total energy, where the finial state is either condensing or segregation. Mostafa Zahri Frankfurt, September 2009 |
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Book title: Energy-based model of condensing on metric spaces:
Modeling, analysis and simulations of condensing of particles
Publisher: SVH-Verlag (September 25, 2009),
Language: English ,
ISBN-10: 3838110811 ,
ISBN-13: 978-3838110813
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Publications by MOSTAFA ZAHRI according to Mathematical Reviews (MathSciNet) |
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Mostafa Zahri, PhD