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.
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 ...
This book starts with concrete topics and applications based on everyday experiences that naturally lead students to algebraic questions and concepts. The down-to-earth presentation is accessible to an audience with no previous knowledge of the subject.
With a fresh geometric approach that incorporates more than 250 illustrations, this textbook sets itself apart from all others in advanced calculus. Besides the classical capstones--the change of variables formula, implicit and inverse function theorems, the integral theorems of Gauss and Stokes--the text treats other important topics in differential analysis, such as Morse's lemma and the Poincaré lemma. The ideas behind most topics can be understood with just two or three variables. This is a textbook for undergraduates and graduate students in mathematics, the physical sciences, and economics. There is enough material for a year-long course on advanced calculus and for a variety of semester courses--including topics in geometry. The measured pace of the book, with its extensive examples and illustrations, make it especially suitable for independent study.
Presenting advanced concepts of digital imaging, this volume enables researchers to process and analyze color images and video with algorithms. Comprising of contributions from global leaders in the field, this reference offers up-to-date information on data processing of video and color images.
This book explains schemes in algebraic geometry from a beginner's level up to advanced topics such as smoothness and ample invertible sheaves. Includes examples and exercises that illustrate each section.
The technical difficulties of algebraic number theory often make this subject appear difficult to beginners. This undergraduate textbook provides a welcome solution to these problems as it provides an ...
This book offers a unified treatment of the various algebraic approaches of geometric spaces. It details the algebraic ingredients necessary to develop all the major aspects of the theory of algebraic curves.
This volume’s historical focus, with fully worked solutions to all the famous problems in classical geometry, demonstrates the profound influence of axiomatic geometry, over more than three millennia, on the evolution of mathematics as an academic discipline.