The Geometry of Physics: An Introduction

This book is intended to provide a working knowledge of those parts of exterior differential forms, differential geometry, algebraic and differential topology, Lie groups, vector bundles and Chern forms that are essential for a deeper understanding of both classical and modern physics and engineering. Included are discussions of analytical and fluid dynamics, electromagnetism, thermodynamics, the deformation tensors of elasticity, soap films, special and general relativity, the Dirac operator and spinors, and gauge fields, including Yang-Mills, the Aharonov-Bohm effect, Berry phase, and instanton winding numbers.

Solving Mathematical Problems

Authored by a leading name in mathematics, this engaging and clearly presented text leads the reader through the various tactics involved in solving mathematical problems at the Mathematical Olympiad level. Covering number theory, algebra, analysis, Euclidean geometry, and analytic geometry, Solving Mathematical Problems includes numerous exercises and model solutions throughout. Assuming only a basic level of mathematics, the text is ideal for students of 14 years and above in pure mathematics.

Calculus and Analytic Geometry, 9th Edition

Textbook presents a modern view of calculus enhanced by the use of technology. Revised and updated edition includes examples and discussions that encourage students to think visually and numerically. DLC: Calculus. 

 

 

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The Story of Euclid

Euclid's birthplace and dates are not known, however his famous book, The Elements, is dated about 300 BC. There is little hard information about Euclid's life. He is thought to have studied in Athens at the school established by Plato, and therefore would have learnt his geometry from the students of Plato.

Euclid probably supported himself teaching geometry. He eventually moved to Alexandria where the greatest library in the ancient world was also the most important site of learning at the time. It is here that Euclid composed The Elements.

Geometry of Four Dimensions

The Foundations Of Four Dimensional Geometry; Points And Lines; Triangles; Planes; Convex Polygons; Tetrahedrons; Hyperplanes; Convex Pyramids And Pentahedroids; Space Of Four Dimensions; Hyperpyramids And Hypercones; Perpendicularity And Simple Angles; Angles Of Two Planes And Angles Of Higher Order; Symmetry, Order, And Motion; Euclidian Geometry; Figures With Parallel Elements; Measurement Of Volume And Hypervolume In Hyperspace; The Regular Polyhedroids; The Polyhedroid Formula;

 

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