This book fulfils its aim of providing good and interesting material for advanced undergraduate study. This is probably one of the best books to begin learning about the sometimes complex topic of stochastic calculus and stochastic processes from a more mathematical approach. Some literature are often accused of unnecessarily complicating the subject when applied to areas of finance. With this book you are allowed to explore the rigorous side of stochastic calculus, yet main.
Contents: Introduction; Symplectic analysis; Fourier transform, stationary phase; Semiclassical Quantization; Semiclassical defect measures; Eigenvalues and eigenfunctions; Estimates for eigenfunctions; More on the symbol calculus; Quantum ergodicity; Quantizing symplectic transformations.
Math Connects: Concepts, Skills, and Problems Solving, Course 1, Noteables: Interactive Study Notebook with Foldables
Interactive Study Notebook is a complete note-taking system with guided note taking for every lesson - in a workbook format. Plus, vocabulary builder and a chapter test preparation section are included for every chapter.
Can one learn linear algebra solely by solving problems? Paul Halmos thinks so, and you will too once you read this book. The Linear Algebra Problem Book is an ideal text for a course in linear algebra. It takes the student step by step from the basic axioms of a field through the notion of vector spaces, on to advanced concepts such as inner product spaces and normality. All of this occurs by way of a series of 164 problems, each with hints and, at the back of the book, full solutions. This book is a marvelous example of how to teach and learn mathematics by ‘doing’ mathematics.
This book is intended to provide students with the appropriate mathematical tools and problem-solving experience to successfully compete in high-level problem solving competitions. In each section, the authors attempt to "fill in" the appropriate background and then provide the student with a variety of worked examples and exercises to help bridge the gap between what he or she may already know and what is required for high-level competitions. Answers or sketches of the solutions are given for all exercises.
