The author's goal is a rigorous presentation of the fundamentals of analysis, starting from elementary level and moving to the advanced coursework. The curriculum of all mathematics (pure or applied) and physics programs include a compulsory course in mathematical analysis. This book will serve as can serve a main textbook of such (one semester) courses. The book can also serve as additional reading for such courses as real analysis, functional analysis,...

Fourier analysis is one of the most useful and widely employed sets of tools for the engineer, the scientist, and the applied mathematician. As such, students and practitioners in these disciplines need a practical and mathematically solid introduction to its principles. They need straightforward verifications of its results and formulas, and they need clear indications of the limitations of those results and formulas. Principles of Fourier Analysis...

The emergence of social networks, OpenCourseWare, Massive Open Online Courses, informal remote learning and connectivist approaches to learning has made the analysis and evaluation of Digital Learning Environments more complex. Modeling these complex systems makes it possible to transcribe the phenomena observed and facilitates the study of these processes with the aid of specific tools. Once this essential step is taken, it then becomes possible...

Introduces readers to the basic features of a graph, such as legends, labels, and scales. Readers will learn how to use these features to read bar graphs, line graphs, and many other kinds of graphs. Additional features to aid comprehension include a table of contents, labeled diagrams, a quiz and answer key, a phonetic glossary, an index, sources for further research, and an introduction to the author.

This book is issued from a 30 year experience on the presentation of variational methods to successive generations of students and researchers in Engineering. It gives a comprehensive, pedagogical and engineer-oriented presentation of the foundations of variational methods and of their use in numerical problems of Engineering. Particular applications to linear and nonlinear systems of equations, differential equations, optimization and control are...

"Idiot's Guides: Calculus II, like its counterpart Idiot's Guides: Calculus I, is a curriculum-based companion book that continues the tradition of taking the sting out of calculus by adding more explanatory graphs and illustrations in easy-to-understand language, practice problems, and even a test at the end. Idiot's Guides: Calculus II is geared for all students who need to succeed in calculus, "--Amazon.com.

"This book presents a self-contained study of the Riemann approach to the theory of random variation and assumes only some familiarity with probability or statistical analysis, basic Riemann integration, and mathematical proofs. The author focuses on non-absolute convergence in conjunction with random variation"--

Engineering Mathematics is designed to suit the curriculum requirements of undergraduate students of engineering. In their trademark student friendly style, the authors have endeavored to provide an in depth understanding of the concepts. Supported by a variety of solved examples, with reference to appropriate engineering applications, the book delves into the fundamental and theoretical concepts of Algebra, Calculus, Differential equations, Complex...

Theoretical Foundations of Functional Data Analysis, with an Introduction to Linear Operators provides a uniquely broad compendium of the key mathematical concepts and results that are relevant for the theoretical development of functional data analysis (FDA). The self—contained treatment of selected topics of functional analysis and operator theory includes reproducing kernel Hilbert spaces, singular value decomposition of compact operators on...