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Author: Eugene V. Shikin Publisher: CRC Press ISBN: 1498710670 Category : Mathematics Languages : en Pages : 560
Book Description
The Handbook and Atlas of Curves describes available analytic and visual properties of plane and spatial curves. Information is presented in a unique format, with one half of the book detailing investigation tools and the other devoted to the Atlas of Plane Curves. Main definitions, formulas, and facts from curve theory (plane and spatial) are discussed.
Author: Eugene V. Shikin Publisher: CRC Press ISBN: 1498710670 Category : Mathematics Languages : en Pages : 560
Book Description
The Handbook and Atlas of Curves describes available analytic and visual properties of plane and spatial curves. Information is presented in a unique format, with one half of the book detailing investigation tools and the other devoted to the Atlas of Plane Curves. Main definitions, formulas, and facts from curve theory (plane and spatial) are discussed.
Author: Howard E. Boyer Publisher: ASM International ISBN: 9780871702142 Category : Technology & Engineering Languages : en Pages : 544
Book Description
Contains more than 500 fatigue curves for industrial ferrous and nonferrous alloys. Also includes an explanation of fatigue testing and interpretation of test results. Each curve is presented independently and includes an explanation of its particular importance.
Author: ASM International Publisher: ASM International ISBN: 087170739X Category : Technology & Engineering Languages : en Pages : 821
Book Description
Contains more than 1400 curves, almost three times as many as in the 1987 edition. The curves are normalized in appearance to aid making comparisons among materials. All diagrams include metric units, and many also include U.S. customary units
Author: George F. Vander Voort Publisher: ASM International ISBN: 9780871704153 Category : Technology & Engineering Languages : en Pages : 824
Book Description
The most comprehensive collection of time-temperature diagrams for irons and steels ever collected. Between this volume and its companion, Atlas of Time Temperature Diagrams for Nonferrous Alloys, you'll find the most comprehensive collection of time-temperature diagrams ever collected. Containing both commonly used curves and out-of-print and difficult-to-find data, these Atlases represent an outstanding worldwide effort, with contributions from experts in 14 countries. Time-temperature diagrams show how metals respond to heating and cooling, allowing you to predict the behavior and know beforehand the sequence of heating and cooling steps to develop the desired properties. These collections are a valuable resource for any materials engineer Both Collections Include: Easy-to-Read Diagrams Isothermal transformation Continuous cooling transformation Time-temperature precipitation Time-temperature embrittlement Time-temperature ordering Materials Included in the Irons and Steels Volume: Low-carbon High Strength Low Alloy Stainless (Maraging, austenitic, ferritic, duplex) Chromium, molybdenum, vanadium, silicon Structural Quenched and tempered Spring and Rail High-temperature creep-resistant Tool and die Eutectoid, hypereutectoid carbon Deep hardening Titanium bearing Irons: Gray cast, malleable, white, white cast, ductile.
Author: Colin Conrad Adams Publisher: American Mathematical Soc. ISBN: 0821836781 Category : Mathematics Languages : en Pages : 330
Book Description
Knots are familiar objects. Yet the mathematical theory of knots quickly leads to deep results in topology and geometry. This work offers an introduction to this theory, starting with our understanding of knots. It presents the applications of knot theory to modern chemistry, biology and physics.
Author: Andreas Kriegl Publisher: American Mathematical Society ISBN: 1470478935 Category : Mathematics Languages : en Pages : 631
Book Description
This book lays the foundations of differential calculus in infinite dimensions and discusses those applications in infinite dimensional differential geometry and global analysis not involving Sobolev completions and fixed point theory. The approach is simple: a mapping is called smooth if it maps smooth curves to smooth curves. Up to Fr‚chet spaces, this notion of smoothness coincides with all known reasonable concepts. In the same spirit, calculus of holomorphic mappings (including Hartogs' theorem and holomorphic uniform boundedness theorems) and calculus of real analytic mappings are developed. Existence of smooth partitions of unity, the foundations of manifold theory in infinite dimensions, the relation between tangent vectors and derivations, and differential forms are discussed thoroughly. Special emphasis is given to the notion of regular infinite dimensional Lie groups. Many applications of this theory are included: manifolds of smooth mappings, groups of diffeomorphisms, geodesics on spaces of Riemannian metrics, direct limit manifolds, perturbation theory of operators, and differentiability questions of infinite dimensional representations.
Author: R. Dijkgraaf Publisher: Springer Science & Business Media ISBN: 9780817637842 Category : Mathematics Languages : en Pages : 584
Book Description
The moduli space Mg of curves of fixed genus g – that is, the algebraic variety that parametrizes all curves of genus g – is one of the most intriguing objects of study in algebraic geometry these days. Its appeal results not only from its beautiful mathematical structure but also from recent developments in theoretical physics, in particular in conformal field theory. Leading experts in the field explore in this volume both the structure of the moduli space of curves and its relationship with physics through quantum cohomology. Altogether, this is a lively volume that testifies to the ferment in the field and gives an excellent view of the state of the art for both mathematicians and theoretical physicists. It is a persuasive example of the famous Wignes comment, and its converse, on "the unreasonable effectiveness of mathematics in the natural science." Witteen’s conjecture in 1990 describing the intersection behavior of tautological classes in the cohomology of Mg arose directly from string theory. Shortly thereafter a stunning proof was provided by Kontsevich who, in this volume, describes his solution to the problem of counting rational curves on certain algebraic varieties and includes numerous suggestions for further development. The same problem is given an elegant treatment in a paper by Manin. There follows a number of contributions to the geometry, cohomology, and arithmetic of the moduli spaces of curves. In addition, several contributors address quantum cohomology and conformal field theory.
Author: Eugene V. Shikin
Author: Eugene V. Shikin
Author: Howard E. Boyer
Author: ASM International
Author: Robert Carl Yates
Author: Edward Harrington Lockwood
Author: George F. Vander Voort
Author: Colin Conrad Adams
Author: Andreas Kriegl
Author: R. Dijkgraaf
Author: Flake C. Campbell