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Introduction to Arakelov Theory
Arakelov introduced a component at infinity in arithmetic considerations, thus giving rise to global theorems similar to those of the theory of surfaces, but in an arithmetic …
Calculus of Several Variables
The present course on calculus of several variables is meant as a text, either for one semester following A First Course in Calculus, or for a year if the calculus sequence is so …
Introduction to Complex Hyperbolic Spaces
Since the appearance of Kobayashi's book, there have been several re- sults at the basic level of hyperbolic spaces, for instance Brody's theorem, and results of Green, Kiernan, …
Riemann-Roch Algebra
Fundamentals of Differential Geometry
The present book aims to give a fairly comprehensive account of the fundamentals of differential manifolds and differential geometry. The size of the book influenced where to stop, …
Challenges
I am very thankful to Springer-Verlag for publishing a collection of some of my non-mathematical works-I call them political works. in the broad sense of the word political. Three …
Heat Kernel and Theta Inversion on SL2(C)
The worthy purpose of this text is to provide a complete, self-contained development of the trace formula and theta inversion formula for SL(2,Z[i])\SL(2,C). Unlike other …
Algebraic Number Theory
The present book gives an exposition of the classical basic algebraic and analytic number theory and supersedes my Algebraic Numbers, including much more material, e. g. the class …
Differential and Riemannian Manifolds
This is the third version of a book on differential manifolds. The first version appeared in 1962, and was written at the very beginning of a period of great expansion of the …
Introduction to Diophantine Approximations
The aim of this book is to illustrate by significant special examples three aspects of the theory of Diophantine approximations: the formal relationships that exist between …
Introduction to Modular Forms
From the reviews: "e;This book gives a thorough introduction to several theories that are fundamental to research on modular forms. Most of the material, despite its …