Contact your RASL: christopher.vernon@warwick.ac.uk
This volume provides a rigorous introduction to analysis, taking into account the difficulties students often face when making the transition from A-Level mathematics to this higher level. It includes new topics on integration and power series.
The book explains the motivation behind abstract foundational material based on students' experiences of school mathematics and explicitly suggests ways students can make sense of formal ideas.
Algebra and geometryThe book covers the ideas of complex numbers, scalar and vector products, determinants, linear algebra, group theory, permutation groups, symmetry groups and aspects of geometry including groups of isometries, rotations, and spherical geometry.
Exploring university mathematics with PythonThis book is for all learners of mathematics, with the primary audience being mathematics undergraduates who are curious to see how Python can enhance their understanding of core university material. The topics chosen represent a mathematical overview of what students typically study in the first and second years at university, namely analysis, calculus, vector calculus and geometry, differential equationsand dynamical systems, linear algebra, abstract algebra and number theory, probability and statistics.
Towards higher mathematics: a companionContaining a large and varied set of problems, this rich resource will allow students to stretch their mathematical abilities beyond the school syllabus, and bridge the gap to university-level mathematics. Many proofs are provided to better equip students for the transition to university.
How to think like a mathematicianWorking through the book you will develop an arsenal of techniques to help you unlock the meaning of definitions, theorems and proofs, solve problems, and write mathematics effectively. Concrete examples are used throughout, and you'll get plenty of practice.