This book teaches readers how to solve mathematical problems in science and engineering with the aid of numerical methods and programming. It features an example-oriented approach with all examples accompanied by complete program codes.
This book explores measure theory, independence, convergence, laws of large numbers, applied probability and more. Covers the central limit theorem, conditional expectation and martingales, and discusses two fundamental theorems of mathematical finance.
This book presents a new paradigm that allows modeling and analysis of software applications at an early stage of the design process. It covers foundational aspects before introducing guidelines and methodologies to exemplify case studies.
Designed for an undergraduate course or for independent study, this textbook presents sophisticated mathematical ideas in an elementary and friendly fashion. It features techniques to solve proofs as well as exercises of varying difficulty.
Taking off from Euclid's famous assertion to the contrary, this book leads the reader on a clear path - a royal road - through the elements of modern algebraic geometry from algebraic curves to the present shape of the field to Grothendieck’s theory of schemes.
The book is a primer of the theory of Ordinary Differential Equations. Each chapter is completed by a broad set of exercises; the reader will also find a set of solutions of selected exercises. The bo ...