Faculty Publications
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Scholarly Publications by Integral Academia
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Item Transforming Global Digital Trade: Charting a Sustainable Future through the WTO Lens(Bloomsbury India, 2025) Mirza Juned Beg, Mohd Sufiyan KhanItem Guardian of the Green: Federalism and Judicial Review in India as Protector of Our Planet(Mind Your Law, 2025) Mirza Juned BegIn an era marked by the urgent crescendo of ecological crises, the intricate tapestry of environmental federalism emerges as a pivotal construct in navigating the labyrinthine challenges of sustainable governance. This scholarly exploration delves into the dynamic interplay between federalism and judicial review, illuminating the delicate balance between national imperatives and local aspirations in environmental stewardship. Through a kaleidoscope of legal frameworks and judicial interpretations, the narrative intricately weaves the threads of authority, accountability, and ecological integrity, revealing the profound implications of judicial oversight in enhancing or constraining environmental policy. As the judiciary assumes its role as both arbiter and guardian of the environment, this examination posits that judicial review serves as a vital fulcrum, ensuring that the imperatives of environmental justice resonate across the fragmented landscape of governance. By scrutinizing landmark cases and legislative milestones, this work elucidates how the judiciary shapes the narrative of environmental federalism, fostering a symphony of cooperative engagement while grappling with the discordant notes of state versus federal authority. This discourse aspires to catalyze a deeper understanding of the harmonious interplay between law and nature, urging stakeholders to engage in a collective. Ultimately, this work aspires to contribute to the ever-evolving narrative of environmental jurisprudence in India, urging a contemplative reflection on our collective responsibility toward the Earth and future generations.Item A Trap Woven with Love: Legal Dimensions of Sexual Exploitation under False Marriage Commitment(MJS Publication, 2025) Mirza Juned Beg; Syedah Fatima Zahara Jafri, Syed Irfan Haider jafri, Mohd Sufiyan KhanItem Perturbation Theory and Eigenvalue Localization for Quaternionic Matrices(Book Rivers, 2025) Istkhar Ali, Mohammad Waquas Khadim"This chapter presents a comprehensive exploration of perturbation theory and eigenvalue localization for matrices over the quaternion division algebra, addressing key theoretical and computational challenges arising from their non-commutative nature. Building on recent advances in quaternionic linear algebra, we extend classical perturbation results-such as the Bauer-Fike theorem and relative eigenvalue bounds-to the quaternionic setting, with a focus on both right and left eigenvalues, which exhibit fundamentally distinct behaviors. We derive new perturbation bounds for structured quaternionic matrices (e.g., Hermitian, unitary, and skew-Hermitian), leveraging their unique spectral properties."Item Numerical Solutions of Non-Linear Equations by Newton’s, Steffensen’s & Halley’s Method(Book Rivers, 2025) Najmuddin Ahmad"In his chapter, Numerical analysis is the study of algorithms that use numerical approximation for the problem of mathematical analysis."Item Goal Programming(Book Rivers, 2025) Quazzafi Rabbani"In this chapter, we discussed Goal Programming (GP) is the most widely and suitable technique for solving multi-objective linear problems."Item Non-linear Equations and Their Numerical Solution by Fast Convergent Methods(Book Rivers, 2025) Abdul Wadood Khan"In his chapter, Numerical analysis is the study of algorithms that use numerical approximation for the problem of mathematical analysis. These are used in solving scientific and engineering problems which has increased dramatically in modern time. Numerical methods are often used to obtain the approximate solution of such problem in which it is not possible to obtain exact solution."Item Graph Theory(Book Rivers, 2025) Shadab Ahmad Khan"In this chaper, Graph Theory is a fundamental area of discrete mathematics that studies the relationships between pairs of objects. These objects are represented as vertices (or nodes), and the connections between them are known as edges (or links). Originating Königsberg bridge problem in the 18th century, Graph Theory has since evolved into a powerful mathematical framework with broad applications."Item Comprehensive Overview of Ring Theory and Polynomial Structures(Book Rivers, 2025) Malik Rashid Jamal"This chapter offers a unified and paraphrased examination of essential concepts in ring theory, with a particular focus on polynomial rings. It introduces core algebraic definitions, explores fundamental theorems along with their rigorous proofs, and incorporates illustrative examples to clarify theoretical insights. The purpose of this chapter is to introduce and define the basic principles and preliminary concepts that are foundational for further study in ring theory. These introductory materials serve as a basis for the subject matter. The content is largely based on standard algebraic references."Item An Introduction to Approximation Theory(Book Rivers, 2025) Idrees Ahmad Khan"In this chapter, we have defined some basic ideas about the Approximation theory with their properties and applications. The approximation theory has a close relationship with other branches of mathematics (like Fourier analysis). Existence of such a relationship is explained by the fact that many important problems of the approximation theory are formulated."