Geometry

Whilst the greatest effort has been made to ensure the quality of this text, due to the historical nature of this content, in some rare cases there may be minor issues with legibility.

Whilst the greatest effort has been made to ensure the quality of this text, due to the historical nature of this content, in some rare cases there may be minor issues with legibility.

Just about everyone takes a geometry class at one time or another.

Most math and science study guides are a reflection of the college professors who write them-dry, difficult, and pretentious.

- Follows a standard course curriculum.

Understanding maths has never been easier.

Learn about the most important mathematical ideas, theorems, and movements in The Maths Book.

The international bestseller - a whip-smart, entertaining exploration of the geometry that underlies our world, from the author of How Not to Be WrongHow should a democracy choose its representatives?

This definitive synthesis of mathematician Gregory Margulis's research brings together leading experts to cover the breadth and diversity of disciplines Margulis's work touches upon.

Integrable Hamiltonian systems have been of growing interest over the past 30 years and represent one of the most intriguing and mysterious classes of dynamical systems.

A great deal of progress has been made recently in the field of asymptotic formulas that arise in the theory of Dirac and Laplace type operators.

How is the Beatles' "e;Help!

Within traditional decision theory, common decision principles -- e.

Historically, science has sought to reduce complex problems to their simplest components, but more recently it has recognized the merit of studying complex phenomena in situ.

This book looks at dynamics as an iteration process where the output of a function is fed back as an input to determine the evolution of an initial state over time.

In this book, two seemingly unrelated fields -- algebraic topology and robust control -- are brought together.

Issues of matching and searching on elementary discrete structures arise pervasively in computer science and many of its applications, and their relevance is expected to grow as information is amassed and shared at an accelerating pace.

The Savilian Professorships in Geometry and Astronomy at Oxford University were founded in 1619 by Sir Henry Savile, distinguished scholar and Warden of Merton College.

Gauge Field theory in Natural Geometric Language addresses the need to clarify basic mathematical concepts at the crossroad between gravitation and quantum physics.

Black holes present one of the most fascinating predictions of Einstein's general theory of relativity.

In the words of the great poet Senghor, Cedric Villani makes the bold claim that Mathematics is the Poetry of Science.

How can we be sure that Pythagoras's theorem is really true?

How can we be sure that Pythagoras's theorem is really true?

In the words of the great poet Senghor, Cedric Villani makes the bold claim that Mathematics is the Poetry of Science.

Based on Fields medal winning work of Michael Freedman, this book explores the disc embedding theorem for 4-dimensional manifolds.

In this modern treatment of the topic, Rolland Trapp presents an accessible introduction to the topic of multivariable calculus, supplemented by the use of fully interactive three-dimensional graphics throughout the text.

In the summer of 1970, Georges Matheron, the father of geostatistics, presented a series of lectures at the Centre de Morphologie Mathmatique in France.

One of the subjects of functional analysis is classification of Banach spaces depending on various properties of the unit ball.

Charles Lutwidge Dodgson is best known for his 'Alice' books, Alice's Adventures in Wonderland and Through the Looking-Glass, written under his pen name of Lewis Carroll.

Charles Lutwidge Dodgson is best known for his 'Alice' books, Alice's Adventures in Wonderland and Through the Looking-Glass, written under his pen name of Lewis Carroll.

This book presents a new and innovative approach to Lie groups and differential geometry.

Born of the desire to understand the workings of motions of the heavenly bodies, trigonometry gave the ancient Greeks the ability to predict their futures.

This book is a new edition of "e;Tensors and Manifolds: With Applications to Mechanics and Relativity"e; which was published in 1992.

Fluid Mechanics: A Geometrical Point of View emphasizes general principles of physics illustrated by simple examples in fluid mechanics.

Nigel Hitchin is one of the world's foremost figures in the fields of differential and algebraic geometry and their relations with mathematical physics, and he has been Savilian Professor of Geometry at Oxford since 1997.

Nigel Hitchin is one of the world's foremost figures in the fields of differential and algebraic geometry and their relations with mathematical physics, and he has been Savilian Professor of Geometry at Oxford since 1997.

This textbook is designed to give graduate students an understanding of integrable systems via the study of Riemann surfaces, loop groups, and twistors.

Many are familiar with the beauty and ubiquity of fractal forms within nature.

The self-avoiding walk is a classical model in statistical mechanics, probability theory and mathematical physics.

The self-avoiding walk is a classical model in statistical mechanics, probability theory and mathematical physics.

This unique and comprehensive volume provides an up-to-date account of the literature on the subject of determining the structure of rings over which cyclic modules or proper cyclic modules have a finiteness condition or a homological property.

This book provides the reader with an elementary introduction to chaos and fractals, suitable for students with a background in elementary algebra, without assuming prior coursework in calculus or physics.

Largely neglected for the four centuries after his death, the fifteenth century Italian artist Piero della Francesca is now seen to embody the fullest expression of the Renaissance perspective painter, raising him to an artistic stature comparable with that of Leonardo da Vinci and Michelangelo.

Largely neglected for the four centuries after his death, the fifteenth century Italian artist Piero della Francesca is now seen to embody the fullest expression of the Renaissance perspective painter, raising him to an artistic stature comparable with that of Leonardo da Vinci and Michelangelo.

Bundles, connections, metrics and curvature are the 'lingua franca' of modern differential geometry and theoretical physics.

One of the ways in which topology has influenced other branches of mathematics in the past few decades is by putting the study of continuity and convergence into a general setting.

Few people have proved more influential in the field of differential and algebraic geometry, and in showing how this links with mathematical physics, than Nigel Hitchin.

The importance of mathematics competitions has been widely recognised for three reasons: they help to develop imaginative capacity and thinking skills whose value far transcends mathematics; they constitute the most effective way of discovering and nurturing mathematical talent; and they provide a means to combat the prevalent false image of mathematics held by high school students, as either a fearsomely difficult or a dull and uncreative subject.

This book is a general introduction to the theory of schemes, followed by applications to arithmetic surfaces and to the theory of reduction of algebraic curves.

The theory of Riemann surfaces occupies a very special place in mathematics.