Reconstructive Integral Geometry

This book covers facts and methods for the reconstruction of a function in a real affine or projective space from data of integrals, particularly over lines, planes, and spheres. Recent results are collected stressing explicit analytic methods. Another f...

 Geometric Mechanics on Riemannian Manifolds Applications to partial Differential Equations

Differential geometry techniques have very useful and important applications in partial differential equations and quantum mechanics. This work presents a purely geometric treatment of problems in physics involving quantum harmonic oscillators, quartic os...

 Analysis on Lie Groups with Polynomial Growth

Analysis on Lie Groups with Polynomial Growth is the first book to present a method for examining the surprising connection between invariant differential operators and almost periodic operators on a suitable nilpotent Lie group. It deals with the theory ...

 Frobenius Splitting Methods in Geometry and Representation Theory

The theory of Frobenius splittings has made a significant impact in the study of the geometry of flag varieties and representation theory. This work, unique in book literature, systematically develops the theory and covers all its major developments. Key...

 103 Trigonometry Problems From the Training of the USA IMO Team

103 Trigonometry Problems contains highly-selected problems and solutions used in the training and testing of the USA International Mathematical Olympiad (IMO) team. Though many problems may initially appear impenetrable to the novice, most can be solved ...

 Tropical Algebraic Geometry

These notes present a polished introduction to tropical geometry and contain some applications of this rapidly developing and attractive subject. It consists of three chapters which complete each other and give a possibility for non-specialists to make th...

 Foundations of classical electrodynamics Charge, flux, and metric

This book presents the foundations of classical electrodynamics with particular attention to mathematical axioms based on physical concepts. The text is divided into 4 parts and unfolds systematically at a level suitable for advanced undergraduates and gr...

 Geometric Methods in Algebra and Number Theory

The transparency and power of geometric constructions has been a source of inspiration to generations of mathematicians. The beauty and persuasion of pictures, communicated in words or drawings, continues to provide the intuition and arguments for working...

 Studies in Lie Theory Dedicated to A. Joseph on his Sixtieth Birthday

Dedicated to Anthony Joseph, this volume contains surveys and invited articles by leading specialists in representation theory. The focus here is on semisimple Lie algebras and quantum groups, where the impact of Joseph's work has been seminal and has cha...

 Supervisory Control of Concurrent Systems A Petri Net Structural Approach

Increasing complexity in engineering projects raises difficult challenges in industry and requires effective tools for correct-by-construction design or design verification. This book addresses the design of such tools for correct-by-construction synthesi...

 Architecture in Existing Building Planning Design Building

An indispensable companion for practitioners, students, and building sponsors Offers guidance in all relevant disciplines Shows graphic examples of realized international projects Architectural work on existing structures has become enormously im...

 Number Theory An approach through history from Hammurapi to Legendre

Number Theory or arithmetic, as some prefer to call it, is the oldest, purest, liveliest, most elementary yet sophisticated field of mathematics. It is no coincidence that the fundamental science of numbers has come to be known as the "Queen of Mathematic...

 An Invitation to Quantum Cohomology Kontsevich's Formula for Rational Plane Curves

This book is an elementary introduction to stable maps and quantum cohomology, starting with an introduction to stable pointed curves, and culminating with a proof of the associativity of the quantum product. The viewpoint is mostly that of enumerative ge...

 From Geometry to Quantum Mechanics In Honor of Hideki Omori

This volume is composed of invited expository articles by well-known mathematicians in differential geometry and mathematical physics that have been arranged in celebration of Hideki Omori's recent retirement from Tokyo University of Science and in honor ...

 Complex Variables with Applications

Complex numbers can be viewed in several ways: as an element in a field, as a point in the plane, and as a two-dimensional vector. Examined properly, each perspective provides crucial insight into the interrelations between the complex number system and i...