Non-Euclidean

Complex Analysis is the powerful fusion of the complex numbers (involving the 'imaginary' square root of -1) with ordinary calculus, resulting in a tool that has been of central importance to science for more than 200 years. This book brings this...

'Einstein did not attempt to explain the constancy of the velocity of light: he assumed it and derived his theories accordingly. But we have explained it.' -- from Chapter 8 of Space and CounterspaceMany people feel alienated by modern science and its...

The study of geometry is at least 2500 years old, and it is within this field that the concept of mathematical proof - deductive reasoning from a set of axioms - first arose. To this day geometry remains a very active area of research in mathematics. ...

Complex Analysis is the powerful fusion of the complex numbers (involving the 'imaginary' square root of -1) with ordinary calculus, resulting in a tool that has been of central importance to science for more than 200 years. This book brings this...

One of the preeminent mathematicians of the past half century shows how physics and math were combined to give us the theory of gravity and the dizzying array of ideas and insights that has come from it Mathematics is far more than just the language of...

A Fields medalist recounts his lifelong transnational effort to uncover the geometric shape-the Calabi-Yau manifold-that may store the hidden dimensions of our universe. "An unexpectedly intimate look into a highly accomplished man, his colleagues and...

Olive Whicher's groundbreaking book presents an accessible - non-mathematician's - approach to projective geometry. Profusely illustrated, and written with fire and intuitive genius, this work will be of interest to anyone wishing to cultivate the power...

Fascinating, accessible introduction to unusual mathematical system in which distance is not measured by straight lines. Topics include applications to urban geography and planning plus comparisons to Euclidean geometry. Every principle is illustrated...

This book presents, for the first time in English, the papers of Beltrami, Klein, and Poincare that brought hyperbolic geometry into the mainstream of mathematics. A recognition of Beltrami comparable to that given the pioneering works of Bolyai and...

This book concerns areas of ergodic theory that are now being intensively developed. The topics include entropy theory (with emphasis on dynamical systems with multi-dimensional time), elements of the renormalization group method in the theory of...

A sequel to Lectures on Riemann Surfaces (Mathematical Notes, 1966), this volume continues the discussion of the dimensions of spaces of holomorphic cross-sections of complex line bundles over compact Riemann surfaces. Whereas the earlier treatment was...

The theory of D-modules deals with the algebraic aspects of differential equations. These are particularly interesting on homogeneous manifolds, since the infinitesimal action of a Lie algebra consists of differential operators. Hence, it is possible to...

A sequel to Lectures on Riemann Surfaces (Mathematical Notes, 1966), this volume continues the discussion of the dimensions of spaces of holomorphic cross-sections of complex line bundles over compact Riemann surfaces. Whereas the earlier treatment was...

Addressing researchers and graduate students in the active meeting ground of analysis, geometry, and dynamics, this book presents a study of renormalization of quadratic polynomials and a rapid introduction to techniques in complex dynamics. Its central...

The description for this book, Lectures on Vector Bundles over Riemann Surfaces. (MN-6), will be forthcoming.Book InformationISBN 9780691079981Author Robert C. GunningFormat PaperbackPage Count 246Imprint Princeton University PressPublisher Princeton...

Riemann introduced the concept of a "local system" on P1-{a finite set of points} nearly 140 years ago. His idea was to study nth order linear differential equations by studying the rank n local systems (of local holomorphic solutions) to which they gave...

In 1920, Pierre Fatou expressed the conjecture that--except for special cases--all critical points of a rational map of the Riemann sphere tend to periodic orbits under iteration. This conjecture remains the main open problem in the dynamics of iterated...

The first part of this monograph is devoted to a characterization of hypergeometric-like functions, that is, twists of hypergeometric functions in n-variables. These are treated as an (n+1) dimensional vector space of multivalued locally holomorphic...

In his classic work of geometry, Euclid focused on the properties of flat surfaces. In the age of exploration, mapmakers such as Mercator had to concern themselves with the properties of spherical surfaces. The study of curved surfaces, or non-Euclidean...

Apologies but we at Booksplease don't have a full description for this book.Book InformationISBN 9781442639454Author H. S. M. CoxeterFormat PaperbackPage Count 326Imprint University of Toronto PressPublisher University of Toronto Press

The central theme of this book is the interaction between the curvature of a complete Riemannian manifold and its topology and global geometry.Book InformationISBN 9780821844175Author Jeffrey CheegerFormat HardbackImprint American Mathematical...

Apologies but we at Booksplease don't have a full description for this book.Book InformationISBN 9780851247397Author Bertrand RussellFormat PaperbackPage Count 212Imprint Spokesman BooksPublisher Spokesman Books

Apologies but we at Booksplease don't have a full description for this book.Book InformationISBN 9781778901805Author Kuro AksaraFormat PaperbackPage Count 414Imprint Telephasic WorkshopPublisher Telephasic WorkshopWeight(grams) 408g

Apologies but we at Booksplease don't have a full description for this book.Book InformationISBN 9781990373633Author Marlin SturgeonFormat PaperbackPage Count 190Imprint Tomas EdwardsPublisher Tomas EdwardsWeight(grams) 195gDimensions(mm) 203mm * 127mm *...

Apologies but we at Booksplease don't have a full description for this book.Book InformationISBN 9781774852644Author Danny BlackmanFormat PaperbackPage Count 192Imprint Bella FrostPublisher Bella FrostWeight(grams) 195g

Apologies but we at Booksplease don't have a full description for this book.Book InformationISBN 9781990373701Author Emerita MaloneFormat PaperbackPage Count 206Imprint Tomas EdwardsPublisher Tomas EdwardsWeight(grams) 209gDimensions(mm) 203mm * 127mm *...

Apologies but we at Booksplease don't have a full description for this book.Book InformationISBN 9781990373688Author Robert FisherFormat PaperbackPage Count 210Imprint Tomas EdwardsPublisher Tomas EdwardsWeight(grams) 127g

Apologies but we at Booksplease don't have a full description for this book.Book InformationISBN 9781603863148Author Nicholas LobachevskiFormat PaperbackPage Count 56Imprint Watchmaker PublishingPublisher Watchmaker PublishingWeight(grams) 82g

Apologies but we at Booksplease don't have a full description for this book.Book InformationISBN 9781990373657Author Vickie MarshallFormat PaperbackPage Count 202Imprint Tomas EdwardsPublisher Tomas EdwardsWeight(grams) 204gDimensions(mm) 203mm * 127mm *...

Apologies but we at Booksplease don't have a full description for this book.Book InformationISBN 9781990373671Author Alberto TrujilloFormat PaperbackPage Count 202Imprint Tomas EdwardsPublisher Tomas EdwardsWeight(grams) 127g

Apologies but we at Booksplease don't have a full description for this book.Book InformationISBN 9781781395639Author David HilbertFormat PaperbackPage Count 94Imprint Benediction ClassicsPublisher Benediction ClassicsWeight(grams) 181gDimensions(mm)...

Apologies but we at Booksplease don't have a full description for this book.Book InformationISBN 9781774858851Author Thomas CooperFormat PaperbackPage Count 192Imprint Andrew ZenPublisher Andrew ZenWeight(grams) 195g

Essential mathematical insights into one of the most important and challenging open problems in general relativity-the stability of black holes One of the major outstanding questions about black holes is whether they remain stable when subject to small...

The word barycentric is derived from the Greek word barys (heavy), and refers to center of gravity. Barycentric calculus is a method of treating geometry by considering a point as the center of gravity of certain other points to which weights are...

The aim of this work is to provide a proof of the nonlinear gravitational stability of the Minkowski space-time. More precisely, the book offers a constructive proof of global, smooth solutions to the Einstein Vacuum Equations, which look, in the large,...