Erfahrungsgemäß ist für die meisten Studienanfänger der Mathematikteil des Studiums mit vielen Befürchtungen verbunden, die oft auf traumatische Erinnerungen an den Mathematikunterricht in der Schule zurückgehen, sich jedoch mithilfe der richtigen studienbegleitenden Literatur a…
The purpose of this volume is to give an up-to-date introduction to tensor valuations and their applications. Starting with classical results concerning scalar-valued valuations on the families of convex bodies and convex polytopes, it proceeds to the modern theory of tensor val…
This volume, dedicated to the eminent mathematician Vladimir Arnold, presents a collection of research and survey papers written on a large spectrum of theories and problems that have been studied or introduced by Arnold himself. Emphasis is given to topics relating to dynamical…
This volume contains 21 articles written by leading experts in the fields of algebraic and arithmetic geometry. The treated topics range over a variety of themes, including moduli spaces of curves and abelian varieties, algebraic cycles, vector bundles and coherent sheaves, curv…
The Standard Model is the foundation of modern particle and high energy physics. This book explains the mathematical background behind the Standard Model, translating ideas from physics into a mathematical language and vice versa. The first part of the book covers the mathematic…
A self-contained, comprehensive survey of college geometry that serves a variety of courses for students of mathematics and mathematics education. A self-contained, comprehensive survey of college geometry that can serve a wide range of courses for students of mathematics and ma…
Since the year 2000, we have witnessed several outstanding results in geometry that have solved long-standing problems such as the Poincaré conjecture, the Yau-Tian-Donaldson conjecture, and the Willmore conjecture. There are still many important and challenging unsolved problem…
Key definitions and results in symmetric spaces, particularly Lp, Lorentz, Marcinkiewicz and Orlicz spaces are emphasized in this textbook. A comprehensive overview of the Lorentz, Marcinkiewicz and Orlicz spaces is presented based on concepts and results of symmetric spaces. Sc…
This book presents articles at the interface of two active areas of research: classical topology and the relatively new field of geometric group theory. It includes two long survey articles, one on proofs of the Farrell?Jones conjectures, and the other on ends of spaces and grou…
This book gives a systematic presentation of real algebraic varieties. Real algebraic varieties are ubiquitous. They are the first objects encountered when learning of coordinates, then equations, but the systematic study of these objects, however elementary they may be, is form…
"Skillfully conceived and written text, with many special features, covers functions and graphs, straight lines and conic sections, new coordinate systems, the derivative, patterns for integration, differential equations, much more. Many examples, exercises and practice problems…