Geometry

Book V completes the discussion of the first four books by treating in some detail the analytic results in elliptic operator theory used previously.

This brief presents a solution to the interpolation problem for arithmetically Cohen-Macaulay (ACM) sets of points in the multiprojective space P^1 x P^1.

This book gives a systematic presentation of real algebraic varieties.

Develops the theory of jet single-time Lagrange geometry and presents modern-day applications Jet Single-Time Lagrange Geometry and Its Applications guides readers through the advantages of jet single-time Lagrange geometry for geometrical modeling.

Geometric Measure Theory: A Beginner's Guide, Fifth Edition provides the framework readers need to understand the structure of a crystal, a soap bubble cluster, or a universe.

This volume is a result of a meeting which took place in June 1986 at 'll Ciocco"e; in Italy entitled 'Deformation theory of algebras and structures and applications'.

The relationship between Tropical Geometry and Mirror Symmetry goes back to the work of Kontsevich and Y.

Trends in the Theory and Practice of Non-Linear Analysis

Generalized Trigonometric and Hyperbolic Functions highlights, to those in the area of generalized trigonometric functions, an alternative path to the creation and analysis of these classes of functions.

Nonabelian multiplicative integration on curves is a classical theory.

Karl Gustafson is the creator of the theory of antieigenvalue analysis.

Intensional and Higher-Order Modal Logic

Want to sharpen your mathematical wits?

Topics in Arithmetical Functions

Intercropping is a method of sustaining or improving soil structure by growing two or more crops on the same field.

This is a comprehensive two-volumes text on plane and space geometry, transformations and conics, using a synthetic approach.

Mathematical Methods in Computer Aided Geometric Design covers the proceedings of the 1988 International Conference by the same title, held at the University of Oslo, Norway.

A working knowledge of differential forms so strongly illuminates the calculus and its developments that it ought not be too long delayed in the curriculum.

With detailed explanations and numerous examples, this textbook covers the differential geometry of surfaces in Euclidean space.

This book consists of a series of introductory lectures on mirror symmetry and its surrounding topics.

This volume contains contributions of principal speakers of the symposium on geometry and analysis of automorphic forms of several variables, held in September 2009 at Tokyo, Japan, in honor of Takayuki Oda's 60th birthday.

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In the series of volumes which together will constitute the Handbook of Differential Geometry a rather complete survey of the field of differential geometry is given.

Modern introduction to algebraic geometry for undergraduates; uses analytic ideas to access algebraic theory.

The articles in the proceedings are closely related to the lectures presented at the topology conference held at the University of Hawaii, August 12-18, 1990.

A thorough yet accessible introduction to the mathematical breakthroughs achieved by using new polynomial methods in the past decade.

This text provides an introduction to group theory with an emphasis on clear examples.

A geometric process is a simple monotone process that was first introduced by the author in 1988.

This text is an enhanced, English version of the Russian edition, published in early 2021 and is appropriate for an introductory course in geometric control theory.

This book aims to be a comprehensive treatise on the interactions between Coding Theory and Commutative Algebra.

Pseudo-Riemannian geometry is an active research field not only in differential geometry but also in mathematical physics where the higher signature geometries play a role in brane theory.

This book studies the relation between conformal invariants and dynamical invariants and their applications, taking the reader on an excursion through a wide range of topics.

According to Grothendieck, the notion of topos is "e;the bed or deep river where come to be married geometry and algebra, topology and arithmetic, mathematical logic and category theory, the world of the continuous and that of discontinuous or discrete structures"e;.

This revised and enlarged fifth edition features four new chapters, which contain highly original and delightful proofs for classics such as the spectral theorem from linear algebra, some more recent jewels like the non-existence of the Borromean rings and other surprises.

This study of graded rings includes the first systematic account of graded Grothendieck groups.

"e;Knot theory is a fascinating mathematical subject, with multiple links to theoretical physics.

Analytic geometry, or analytical geometry has two different meanings in mathematics.

Oscar Zariski's work in mathematics permanently altered the foundations of algebraic geometry.

Moving frames explained in the language of undergraduate calculus, suitable for graduate students.

This concise and practical textbook presents the essence of the theory on smooth manifolds.

An exquisite visual celebration of the 2,500-year history of geometryIf you've ever thought that mathematics and art don't mix, this stunning visual history of geometry will change your mind.

Rationality problems link algebra to geometry, and the difficulties involved depend on the transcendence degree of $K$ over $k$, or geometrically, on the dimension of the variety.

This graduate-level text demonstrates the basic techniques for researchers interested in the field of geometric analysis.