This textbook introduces the well-posedness theory for initial-value problems of nonlinear, dispersive partial differential equations, with special focus on two key models, the Korteweg–de Vries equation and the nonlinear Schrödinger equation. A concise and self-contained treatment of background material (the Fourier transform, interpolation theory, Sobolev spaces, and the linear Schrödinge…
This textbook provides an easy-to-understand introduction to the complex topic of vaccine research and development. It gives a comprehensive though clearly arranged insight to the most important aspects of molecular vaccinology, leading from the basics in immunology, to design of vaccines and mode of action of vaccines to the actual formulation, manufacturing and registration of vaccines. The v…
Based on an honors course taught by the author at UC Berkeley, this introduction to undergraduate real analysis gives a different emphasis by stressing the importance of pictures and hard problems. Topics include: a natural construction of the real numbers, four-dimensional visualization, basic point-set topology, function spaces, multivariable calculus via differential forms (leading to a simp…
This book offers readers a primer on the theory and applications of Ordinary Differential Equations. The style used is simple, yet thorough and rigorous. Each chapter ends with a broad set of exercises that range from the routine to the more challenging and thought-provoking. Solutions to selected exercises can be found at the end of the book. The book contains many interesting examples on topi…
This monograph critically reviews and updates real estate valuation theory, which is based on neoclassical economics, in light of developments in heterodox economic theory. Building on a comprehensive historical account of the evolution of value theory, the book uses new institutional economics theory and critical realism as lenses through which problems in standard valuation theory and practic…
This text gives a rigorous treatment of the foundations of calculus. In contrast to more traditional approaches, infinite sequences and series are placed at the forefront. The approach taken has not only the merit of simplicity, but students are well placed to understand and appreciate more sophisticated concepts in advanced mathematics. The authors mitigate potential difficulties in mastering …
This exciting primer on Solar Racing literally starts from the ground up, describing how the interactions of a vehicle with its environment circumscribe its ultimate success, from aerodynamics to resistance and propulsion. By demonstrating how to mathematically model these underlying physical phenomena, the author helps solar racing competitors carefully select key characteristics of the vehicl…
This textbook is designed for a year-long course in real analysis taken by beginning graduate and advanced undergraduate students in mathematics and other areas such as statistics, engineering, and economics. Written by one of the leading scholars in the field, it elegantly explores the core concepts in real analysis and introduces new, accessible methods for both students and instructors. T…
Based on courses given at Eötvös Loránd University (Hungary) over the past 30 years, this introductory textbook develops the central concepts of the analysis of functions of one variable — systematically, with many examples and illustrations, and in a manner that builds upon, and sharpens, the student’s mathematical intuition. The book provides a solid grounding in the basics of logic an…
This brief goes back to basics and describes the Quantitative structure-activity/property relationships (QSARs/QSPRs) that represent predictive models derived from the application of statistical tools correlating biological activity (including therapeutic and toxic) and properties of chemicals (drugs/toxicants/environmental pollutants) with descriptors representative of molecular structure and/…