Geometry

This undergraduate and postgraduate text will familiarise readers with interval arithmetic and related tools to gain reliable and validated results and logically correct decisions for a variety of geometric computations plus the means for alleviating the effects of the errors.

This book opens with an axiomatic description of Euclidean and non-Euclidean geometries.

Starting at an introductory level, the book leads rapidly to important and often new results in synthetic differential geometry.

Up-to-date research in metric diffusion along compact foliations is presented in this book.

This volume focuses on discussing the interplay between the analysis, as exemplified by the eta invariant and other spectral invariants, the number theory, as exemplified by the relevant Dedekind sums and Rademacher reciprocity, the algebraic topology, as exemplified by the equivariant bordism groups, K-theory groups, and connective K-theory groups, and the geometry of spherical space forms, as exemplified by the Smith homomorphism.

The geometry of almost complex structures is fundamentally concerned with complex analysis and also mathematical physics.

Mathematics is very much a part of our culture; and this invaluable collection serves the purpose of developing the branches involved, popularizing the existing theories and guiding our future explorations.

Written primarily for students who have completed the standard first courses in calculus and linear algebra, Elementary Differential Geometry, Revised 2nd Edition, provides an introduction to the geometry of curves and surfaces.

From a historical point of view, the theory we submit to the present study has its origins in the famous dissertation of P.

This book provides a comprehensive introduction to the Calculus of Variations and its use in modelling mechanics and physics problems.

In recent decades, quantization has led to interesting applications in various mathematical branches.

Als mehrbändiges Nachschlagewerk ist das Springer-Handbuch der Mathematik in erster Linie für wissenschaftliche Bibliotheken, akademische Institutionen und Firmen sowie interessierte Individualkunden in Forschung und Lehre gedacht.

This book is aimed at graduate students and researchers in physics and mathematics who seek to understand the basics of supersymmetry from a mathematical point of view.

The purpose of these notes is to give a geometrical treatment of generalized homology and cohomology theories.

Saks Spaces and Applications to Functional Analysis

Part 1 of this popular graduate-level textbook focuses on mathematical methods involving complex analysis, determinants, and matrices, including updated and additional material covering conformal mapping.

Shiing-Shen Chern (1911-2004) was one of the leading differential geometers of the twentieth century.

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

A Mathematical Tour introduces readers to a selection of mathematical topics chosen for their centrality, importance, historical significance, and intrinsic appeal and beauty.

This text is an elementary introduction to differential geometry.

This volume attests to the vitality of differential geometry as it probes deeper into its internal structure and explores ever widening connections with other subjects in mathematics and physics.

Spherical Geometry and Its Applications introduces spherical geometry and its practical applications in a mathematically rigorous form.

Unified introduction to algebra and geometry, emphasising links between the topics.

For 1-semester courses in Finite Mathematics.

Fixed Point Results in W-Distance Spaces is a self-contained and comprehensive reference for advanced fixed-point theory and can serve as a useful guide for related research.

This volume is a compilation of papers presented at the conference on differential geometry, in particular, minimal surfaces, real hypersurfaces of a non-flat complex space form, submanifolds of symmetric spaces and curve theory.

Reprinted as it originally appeared in the 1990s, this work is as an affordable text that will be of interest to a range of researchers in geometric analysis and mathematical physics.

This monograph deals with the Hadamard products of algebraic varieties.

This book uses algebraic tools to study the elementary properties of classes of fields and related algorithmic problems.

This volume is devoted to various aspects of Alexandrov Geometry for those wishing to get a detailed picture of the advances in the field.

Inverse scattering problems are a vital subject for both theoretical and experimental studies and remain an active field of research in applied mathematics.

Series of scalars, vectors, or functions are among the fundamental objects of mathematical analysis.

This monograph explores classical electrodynamics from a geometrical perspective with a clear visual presentation throughout.

This volume presents the beautiful memoirs of Euler, Lagrange and Lambert on geography, translated into English and put into perspective through explanatory and historical essays as well as commentaries and mathematical notes.

The literature on the spectral analysis of second order elliptic differential operators contains a great deal of information on the spectral functions for explicitly known spectra.

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

A complete presentation of a central part of convex geometry, from basics for beginners, to the exposition of current research.

Mathematics of Networks: Modulus Theory and Convex Optimization explores the question: "e;What can be learned by adapting the theory of p-modulus (and related continuum analysis concepts) to discrete graphs?

This book contains an up-to-date survey and self-contained chapters on contact slant submanifolds and geometry, authored by internationally renowned researchers.

In the Teichmuller theory of Riemann surfaces, besides the classical theory of quasi-conformal mappings, vari- ous approaches from differential geometry and algebraic geometry have merged in recent years.

This book serves as a reference on links and on the invariants derived via algebraic topology from covering spaces of link exteriors.

This volume combines an introduction to central collineations with an introduction to projective geometry, set in its historical context and aiming to provide the reader with a general history through the middle of the nineteenth century.

Building on rudimentary knowledge of real analysis, point-set topology, and basic algebra, Basic Algebraic Topology provides plenty of material for a two-semester course in algebraic topology.

This book presents a unified mathematical treatment of diverse problems in thegeneral domain of robotics and associated fields using Clifford or geometric alge-bra.

This book explores the work of Bernhard Riemann and its impact on mathematics, philosophy and physics.

Discover and understand mathematical theorems through paper folding, starting with high school algebra and geometry through to more advanced concepts.