Geometry

Featuring the work of twenty-three internationally-recognized experts, this volume explores the trace formula, spectra of locally symmetric spaces, p-adic families, and other recent techniques from harmonic analysis and representation theory.

This book studies a category of mathematical objects called Hamiltonians, which are dependent on both time and momenta.

This textbook, the first of its kind, presents the fundamentals of distance geometry:  theory, useful methodologies for obtaining solutions, and real world applications.

This book aims to disseminate geometric algebra as a straightforward mathematical tool set for working with and understanding classical electromagnetic theory.

Geometry and Martingales in Banach Spaces provides a compact exposition of the results explaining the interrelations existing between the metric geometry of Banach spaces and the theory of martingales, and general random vectors with values in those Banach spaces.

This book provides a concrete description of the identity connected components of the real and complex exceptional Lie groups.

This book provides a comprehensive introduction to modern global variational theory on fibred spaces.

Many physical processes in fields such as mechanics, thermodynamics, electricity, magnetism or optics are described by means of partial differential equations.

Geometrical concepts play a significant role in the analysis of physical systems.

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This monograph provides an accessible introduction to the applications of pseudoholomorphic curves in symplectic and contact geometry, with emphasis on dimensions four and three.

Part one of a two-volume collection exploring recent developments in number theory related to automorphic forms and Galois representations.

Affine flag manifolds are infinite dimensional versions of familiar objects such as Gramann varieties.

Fractals are intricate geometrical forms that contain miniature copies of themselves on ever smaller scales.

The topological fundamental group of a smooth complex algebraic variety is poorly understood.

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Eine verständliche, konzise und immer flüssige Einführung in die Algebra, die insbesondere durch ihre sorgfältige didaktische Aufbereitung bei vielen Studenten Freunde finden wird.

Differential geometry arguably offers the smoothest transition from the standard university mathematics sequence of the first four semesters in calculus, linear algebra, and differential equations to the higher levels of abstraction and proof encountered at the upper division by mathematics majors.

The topics in this survey volume concern research done on the differential geom- etry of foliations over the last few years.

This book pedagogically describes recent developments in gauge theory, in particular four-dimensional N = 2 supersymmetric gauge theory, in relation to various fields in mathematics, including algebraic geometry, geometric representation theory, vertex operator algebras.

A quick guide to computing in algebraic geometry with many explicit computational examples introducing the computer algebra system Singular.

This book provides a number of combinatorial tools that allow a systematic study of very general discrete spaces involved in the context of discrete quantum gravity.

This introductory textbook describes fundamental groups and their topological soul mates, the covering spaces.

This book constitutes the thoroughly refereed post-conference proceedings of the 18th Japanese Conference on Discrete and Computational Geometry and Graphs, JDCDGG 2015, held in Kyoto, Japan, in September 2015.

In this monograph, the authors develop a new theory of p-adic cohomology for varieties over Laurent series fields in positive characteristic, based on Berthelot's theory of rigid cohomology.

This book emphasizes the interdisciplinary interaction in problems involving geometry and partial differential equations.

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Kelley Wingate's Math Practice for fifth grade is designed to help students master basic math skills through focused math practice.

Keine ausführliche Beschreibung für "Die eindeutige Bestimmung allgemeiner konvexer Flächen" verfügbar.

This book presents four lectures on recent research in commutative algebra and its applications to algebraic geometry.

Keine ausführliche Beschreibung für "Die innere Geometrie der konvexen Flächen" verfügbar.

Collecting together the lecture notes of the CIME Summer School held in Cetraro in July 2018, the aim of the book is to introduce a vast range of techniques which are useful in the investigation of complex manifolds.

Geometric Fundamentals of Robotics provides an elegant introduction to the geometric concepts that are important to applications in robotics.

This book is written in a pedagogical style intelligible for graduate students.

The Unconscious as Space explores the experience of being and the practice of psychoanalysis by thinking of the unconscious in mathematical terms.

The theory presented in this work merges many concepts from mathematical optimization and real algebraic geometry.

This is a book on topology and geometry and, like any books on subjects as vast as these, it has a point-of-view that guided the selection of topics.

Combinatorial commutative algebra is an active area of research with thriving connections to other fields of pure and applied mathematics.

Based on a series of lectures for adult students, this lively and entertaining book proves that, far from being a dusty, dull subject, geometry is in fact full of beauty and fascination.

The principle aim of this unique text is to illuminate the beauty of the subject both with abstractions like proofs and mathematical text, and with visuals, such as abundant illustrations and diagrams.