This comprehensive calculus text covers differential and integral calculus across single and multivariable contexts, enriched with thousands of examples, real-world applications, and a bundled CD for supplementary instruction—ideal for students pursuing science, engineering, or mathematics.
This concise and accessible textbook introduces calculus without limits, focusing on two main frameworks: q-calculus and h-calculus. Designed for students with a background in basic calculus and linear algebra, it explores q-derivatives, q-integrals, q-exponentials, and related special functions. The authors present both theoretical foundations and computational tools, linking the subject to nu…
This widely acclaimed textbook offers a modern, conceptual introduction to linear algebra, focusing on vector spaces and linear maps rather than matrices and Gaussian elimination. Axler’s approach delays the introduction of determinants to highlight deeper structures like eigenvalues, eigenvectors, and invariant subspaces. With clear proofs, rigorous logic, and numerous exercises, it builds s…
This book is designed as a text for a first course on functional analysis for ad vanced undergraduates or for beginning graduate students. It can be used in the undergraduate curriculum for an honors seminar, or for a "capstone" course. It can also be used for self-study or independent study. The course prerequisites are few, but a certain degree of mathematical sophistication is required. A …
Stability of Differential Equations with Aftereffect presents stability theory for differential equations concentrating on functional differential equations with delay, integro-differential equations, and related topics. The authors provide background material on the modern theory of functional differential equations and introduce some new flexible methods for investigating the asymptotic behav…
This reference provides a detailed account of probability distributions arising from Gaussian random variables, including sums, products, and ratios. It covers both exact and approximate solutions with an emphasis on applications in reliability, wireless communications, and statistical modeling. The text includes MATLAB scripts, illustrative examples, and numerical results, making it valuable f…
This comprehensive volume develops all of the standard features of Fourier analysis - Fourier series, Fourier transform, Fourier sine and cosine transforms, and wavelets. The books approach emphasizes the role of the "selector" functions, and is not embedded in the usual engineering context, which makes the material more accessible to a wider audience. While there are several publications on th…
This book provides a rigorous yet practical treatment of statistical models and methods for analyzing repairable systems. It introduces non-homogeneous Poisson processes (NHPP), renewal processes, and imperfect repair models, with detailed discussion on model fitting, goodness-of-fit, and case studies. It is especially useful for reliability engineers, statisticians, and applied researchers wor…
This unusually lively textbook on complex variables introduces the theory of analytic functions, explores its diverse applications and shows the reader how to harness its powerful techniques. "Complex Analysis" offers new and interesting motivations for classical results and introduces related topics that do not appear in this form in other texts. Stressing motivation and technique, and contain…