Geometry is central to many branches of mathematics and physics, and offers a complete range of views on the universe. This introduction includes many simple explanations and examples. With minimal prerequisites, the book provides a first glimpse of many research topics in modern algebra, geometry and theoretical physics. The book is based on many years’ teaching experience, and is thoroughly class-tested. There are copious illustrations, and each chapter ends with exercises. Further teaching material is available via the web, including assignable problem sheets with solutions.
Advanced Calculus and its Applications in Variational Quantum Mechanics and Relativity Theory
The Calculus Lifesaver: All the Tools you Need to Excel at Calculus Geometry and Topology
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