In this innovative and largely self-contained textbook, Jonathan Kirby brings model theory to an undergraduate audience. The highlights of basic model theory are illustrated through examples from specific structures familiar from undergraduate mathematics, and numerous exercises of varying difficulty further consolidate the student's learning.
Whether you are a student struggling to fulfil a maths or science course or you are embarking on a career change that requires a higher level of maths competency, A MIND FOR NUMBERS offers the tools you need to get a better grasp of that intimidating but inescapable field. Engineering professor, Barbara Oakley, knows firsthand how it feels to struggle with maths. She flunked her way through secondary school maths and science courses, before enlisting in the army immediately after graduation. Wh
This book provides a rigorous course in the calculus of functions of a real variable. The companion on-screen version of this text contains hundreds of links to alternative approaches, more complete explanations and solutions to exercises; links that make it more friendly than any printed book could be.
Beginning with linear algebra and later expanding into calculus of variations, Advanced Engineering Mathematics provides accessible and comprehensive mathematical preparation for advanced undergraduate and beginning graduate students taking engineering courses. This book offers a review of standard mathematics coursework while effectively integrating science and engineering throughout the text. It explores the use of engineering applications, carefully explains links to engineering practice, an
The universality of mathematical techniques is demonstrated through a wide variety of applications and a description of basic methods for their analysis. The author places equal importance on difference and differential equations, showing how they complement and intertwine in describing natural phenomena.
This concise introduction to the background theory of stochastic processes begins with a clear account of measure theory and leads up to the Ito formula and its basic applications in Black-Scholes theory. Ideal for beginning graduate students, this treatment is reasonably rigorous and includes carefully chosen exercises.
Based on a successful course at Oxford University, this book gives an authoritative introduction to numerical analysis. It is ideal as a text for students in the second year of a university mathematics course. It combines practicality regarding applications with consistently high standards of rigour. Numerous exercises are provided.