Postmodern Analysis by Jürgen Jost (translated by H. Azad) offers a modern yet concrete approach to advanced mathematical analysis, tailored for beginning graduate-level students. Rather than embracing high abstraction for its own sake, the text integrates rigorous theory—such as Banach and Hilbert spaces, metric concepts, Lebesgue integration, Sobolev spaces, and variational methods—w…
This book offers an advanced introduction to how order emerges and is disrupted in physical systems. It focuses on the interplay between thermal or quantum fluctuations, emergent order (like in crystals or spin systems), and defects (such as dislocations, domain walls, or impurities). It explores critical phenomena, correlation functions, and topological defects with mathematical rigor and phys…
In complementarity theory, which is a relatively new domain of applied mathematics, several kinds of mathematical models and problems related to the study of equilibrium are considered from the point of view of physics as well as economics. In this book the authors have combined complementarity theory, equilibrium of economical systems, and efficiency in Pareto's sense. The authors discuss the …
Multivariate Analysis of Quality: An Introduction provides a comprehensive overview of multivariate statistical methods tailored specifically to quality improvement and engineering applications. The book introduces techniques like Principal Component Analysis (PCA), Multivariate Control Charts, Canonical Correlation Analysis, and Discriminant Analysis within the context of Six Sigma and quality…
This text is written for students preparing for a career in business, economics, psychology, sociology, architecture, or the life, social, environmental, or physical sciences. It is assumed that these students have completed high school algebra. This text's primary goal is to teach the techniques of differential and integral calculus that students are likely to encounter in undergraduate course…
This is a user-friendly introduction to the methods of differential and integral calculus of one real variable. The key feature of this book is the care that has been taken to ease the transition from school to university maths. It presents new ideas in the context of existing mathematical experience, building on students A-level knowledge and extending it to the level encountered in first year…
This text, a product of the NSF-funded Calculus Consortium based at Harvard University, was developed as part of the calculus reform movement for the third semester, multivariable calculus course. Functions are presented graphically, numerically, and algebraically to give students the benefit of different interpretations. The text is problem-driven and features exercises based on real-world app…
This textbook provides a practical introduction to calculus tailored for students in business, economics, social sciences, and life sciences. Emphasizing real-world applications, the book focuses on topics such as functions, limits, derivatives, optimization, and integrals—with minimal abstraction and an intuitive approach. Designed for accessibility, it blends algebraic techniques with graph…
Applied Calculus offers a student-focused and application-oriented introduction to calculus, emphasizing its use in business, life sciences, and social sciences. The book prioritizes conceptual understanding and real-world modeling over abstract theory, using graphs, data, and real-life problems to illustrate calculus concepts. With clear explanations, minimal use of formal proofs, and integrat…
This widely used textbook offers a comprehensive introduction to differential and integral calculus for both single-variable and multivariable functions. Emphasizing conceptual understanding alongside computational proficiency, the book integrates real-world applications, graphical interpretations, and numerical methods throughout. It is known for its clarity, student-friendly approach, and col…