This book is an introductory text that charts the recent developments in the area of Whitney-type extension problems and the mathematical aspects of interpolation of data. It provides a detailed tour of a new and active area of mathematical research. In each section, the authors focus on a different key insight in the theory. The book motivates ......
This book is about nonlinear observability. It provides a modern theory of observability based on a new paradigm borrowed from theoretical physics and the mathematical foundation of that paradigm. In the case of observability, this framework takes into account the group of invariance that is inherent to the concept of observability, allowing the ......
Certain constants occupy precise balancing points in the cosmos of number, like habitable planets sprinkled throughout our galaxy at just the right distances from their suns. This book introduces and connects four of these constants (phi, pi, e and i), each of which has recently been the individual subject of historical and mathematical ......
Calculus Gems, a collection of essays written about mathematicians and mathematics, is a spin-off of two appendices (""Biographical Notes"" and ""Variety of Additional Topics"") found in Simmons' 1985 calculus book. With many additions and some minor adjustments, the material will now be available in a separate softcover volume. The text is ......
This volume contains the proceedings of the Conference on Complex Analysis and Spectral Theory, in celebration of Thomas Ransford's 60th birthday, held from May 21-25, 2018, at Laval University, Quebec, Canada. Spectral theory is the branch of mathematics devoted to the study of matrices and their eigenvalues, as well as their ......
Each step higher in math studies is crucial to doing well at the next level. Support for this gateway course to Calculus is needed among most people heading through that gate to successful careers in science, engineering, computers and economics. Our math authors at ExpoLog who also write math textbooks take great care to cover the core of what ......
This book offers an overview of the central ideas in calculus and gives examples of how calculus is used to translate many real-world phenomena into mathematical functions. Beginning with an explanation of the two major parts of calculus - differentiation and integration - Gudmund R Iversen illustrates how calculus is used in statistics: to distinguish between the mean and the median; to derive the least squares formulas for regression co-efficients; to find values of parameters from theoretical distributions; and to find a statistical p-value when using one of the continuous test variables such as the t-variable.
The AP Calculus exams are known to be among the hardest tests to completeaso, let BarCharts take the guesswork out of how to study for them. Our comprehensive, 3-panel guide is chock-full of helpful hints on how to prepare in advance; in addition, our easy-to-use format features example problems and full-color diagrams covering each section of the ......
QuickStudy Bookletss cover the key information on some of the toughest subjects today, helping students boost their grades. The QuickStudy Calculus booklet contains 144 full-color pages and includes: Functions, limits, formulas, integrals and much more! It measures 4.25" x 7.5," small enough to fit in a pocket.
