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Intended for freshman/sophomore-level courses treating calculus of both one and several variables, this work helps students focus on, and understand vital concepts in calculus. It makes use of computing technology, graphics, and applications, and is useful for instructors.
Fully worked solutions to odd-numbered exercises.
Incorporating an innovative modeling approach, this book for a one-semester differential equations course emphasizes conceptual understanding to help users relate information taught in the classroom to real-world experiences. Certain models reappear throughout the book as running themes to synthesize different concepts from multiple angles, and a dynamical systems focus emphasizes predicting the long-term behavior of these recurring models. Users will discover how to identify and harness the mathematics they will use in their careers, and apply it effectively outside the classroom. Important Notice: Media content referenced within the product description or the product text may not be available in the ebook version.
This book focuses on solving practical problems in calculus with MATLAB. Descriptions and sketching of functions and sequences are introduced first, followed by the analytical solutions of limit, differentiation, integral and function approximation problems of univariate and multivariate functions. Advanced topics such as numerical differentiations and integrals, integral transforms as well as fractional calculus are also covered in the book.
All normal human beings alive in the last fifty thousand years appear to have possessed, in Mark Turner's phrase, "irrepressibly artful minds." Cognitively modern minds produced a staggering list of behavioral singularities--science, religion, mathematics, language, advanced tool use, decorative dress, dance, culture, art--that seems to indicate a mysterious and unexplained discontinuity between us and all other living things. This brute fact gives rise to some tantalizing questions: How did the artful mind emerge? What are the basic mental operations that make art possible for us now, and how do they operate? These are the questions that occupy the distinguished contributors to this volume, which emerged from a year-long Getty-funded research project hosted by the Center for Advanced Study in the Behavioral Sciences at Stanford. These scholars bring to bear a range of disciplinary and cross-disciplinary perspectives on the relationship between art (broadly conceived), the mind, and the brain. Together they hope to provide directions for a new field of research that can play a significant role in answering the great riddle of human singularity.
This treatment examines the general theory of the integral, Lebesque integral in n-space, the Riemann-Stieltjes integral, and more. "The exposition is fresh and sophisticated, and will engage the interest of accomplished mathematicians." — Sci-Tech Book News. 1966 edition.