The triumphant vindication of bold theories-are these not the pride and justification of our life's work? -Sherlock Holmes, The Valley of Fear Sir Arthur Conan Doyle The main purpose of our book is to present and explain mathematical methods for obtaining approximate analytical solutions to differential and difference equations that cannot be solved exactly. Our objective is to help young and a…
Basic Complex Analysis skillfully combines a clear exposition of core theory with a rich variety of applications. Designed for undergraduates in mathematics, the physical sciences, and engineering who have completed two years of calculus and are taking complex analysis for the first time.
A fundamental text for students in electrical and computer engineering, this book covers the theory and application of probability and random variables, focusing on their use in signal analysis. Topics include probability theory, random processes, linear systems, and spectral analysis. Includes numerous examples, problem sets, and application-oriented explanations.
This student solutions manual offers detailed, step-by-step solutions to selected problems from Introduction to Linear Regression Analysis (5th edition). Designed to support learning and practice, it reinforces understanding of concepts such as least squares estimation, model adequacy checking, multicollinearity, and diagnostics in linear regression models. Suitable for use alongside courses in…
he book is devoted to varieties of linear singular integral equations, with special emphasis on their methods of solution. It introduces the singular integral equations and their applications to researchers as well as graduate students of this fascinating and growing branch of applied mathematics.
By introducing logic and by emphasizing the structure and nature of the arguments used, this book helps readers transition from computationally oriented mathematics to abstract mathematics with its emphasis on proofs. Uses clear expositions and examples, helpful practice problems, numerous drawings, and selected hints/answers. Offers a new boxed review of key terms after each section. Rewrites …
This book presents a comprehensive study of the theory of exponential dichotomies and their role in understanding the stability of solutions to nonautonomous linear differential systems. It develops the foundational concepts of nonuniform hyperbolicity, discusses Lyapunov exponents, and explores how spectral theory and evolution semigroups are used to analyze the long-term behavior of linear sy…
A classic introductory textbook in probability and statistics, this book provides a balanced presentation of theory and application. Topics include descriptive statistics, probability distributions, sampling theory, hypothesis testing, regression, and ANOVA. Designed for students in diverse fields such as business, biology, engineering, and the social sciences.
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 …