1.

Record Nr.

UNISALENTO991003265819707536

Autore

Farley, Daniel Scott

Titolo

Algebraic K-theory of crystallographic groups [e-book] : the three-dimensional splitting case / by Daniel Scott Farley, Ivonne Johanna Ortiz

Pubbl/distr/stampa

Cham [Switzerland] : Springer, 2014

ISBN

9783319081533

Descrizione fisica

1 online resource (x, 148 pages)

Collana

Lecture Notes in Mathematics, 1617-9692 ; 2113

Classificazione

AMS 20H15

AMS 19A31

AMS 19B28

AMS 82D25

LC QA612.33

Altri autori (Persone)

Ortiz, Ivonne Johannaauthor

Disciplina

512.66

Soggetti

Group theory

K-theory

Cell aggregation - Mathematics

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Sommario/riassunto

The Farrell-Jones isomorphism conjecture in algebraic K-theory offers a description of the algebraic K-theory of a group using a generalized homology theory. In cases where the conjecture is known to be a theorem, it gives a powerful method for computing the lower algebraic K-theory of a group. This book contains a computation of the lower algebraic K-theory of the split three-dimensional crystallographic groups, a geometrically important class of three-dimensional crystallographic group, representing a third of the total number. The book leads the reader through all aspects of the calculation. The first chapters describe the split crystallographic groups and their classifying spaces. Later chapters assemble the techniques that are needed to apply the isomorphism theorem. The result is a useful starting point for researchers who are interested in the computational side of the Farrell-Jones isomorphism conjecture, and a contribution to the growing literature in the field



2.

Record Nr.

UNINA9910814734203321

Autore

Saha Snehanshu

Titolo

Differential equations : first and second order linear differential equations / / Snehanshu Saha

Pubbl/distr/stampa

New York, NY : , : Momentum Press, , [2015]

©2015

ISBN

1-60650-827-X

Descrizione fisica

1 online resource (112 pages)

Disciplina

515.3540285

Soggetti

Differential equations, Linear - Data processing

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

Co-published with Cognella Academic Publishing.

Nota di bibliografia

Includes bibliographical references (page 109) and index.

Nota di contenuto

1. Definition of terms and review of linear algebra -- 1.1 Basic definitions -- 1.1.1 What is a differential equation? -- 1.1.2 Solution to a differential equation -- 1.1.3 Family of solutions -- 1.1.4 Direction fields -- 1.2 Some linear algebra -- 1.2.1 Matrices -- 1.2.2 Systems of linear equations -- 1.2.3 Matrix addition and subtraction and scalar product -- 1.2.4 Transpose of a matrix -- 1.2.5 Dot product and matrix multiplication -- 1.2.6 Determinants -- 1.2.7 The inverse of a square matrix -- 1.2.8 Matrix form of a system of linear equations -- 1.2.9 Linear dependence -- 1.2.10 Eigenvalues and Eigenvectors -- 1.2.11 Diagonalization --

2. Linear first order differential equations -- 2.1 Linear first order DE -- 2.1.1 Bernoulli differential equation -- 2.2 Separable differential equations -- 2.3 Exact differential equations -- 2.4 Homogeneous differential equations -- 2.5 Existence and uniqueness --

3. Homogeneous second order differential equations -- 3.1 Linear homogeneous DE -- 3.2 Linear independence and the Wronskian -- 3.2.1 Linear independence -- 3.2.2 The Wronskian -- 3.3 Solving ay" + by' + cy = g(x) -- 3.3.1 The method of undetermined coefficients -- 3.3.2 Variation of parameters --

Bibliography -- Index.



3.

Record Nr.

UNINA9910637782603321

Autore

Gökce Bilal

Titolo

New Frontiers in Materials Design for Laser Additive Manufacturing

Pubbl/distr/stampa

Basel, : MDPI - Multidisciplinary Digital Publishing Institute, 2022

ISBN

3-0365-5882-9

Descrizione fisica

1 online resource (136 p.)

Soggetti

Industrial chemistry and chemical engineering

Technology: general issues

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Sommario/riassunto

In recent years, the industry has started to use parts printed by powder-based laser additive manufacturing (LAM) when precision and good mechanical properties are required. Applications can be found in the aerospace, automotive, and medical sectors. However, the powder materials available are often inadequate for contemporary processing tasks, and often generate process instabilities as well as porosities and defects in the resulting parts. This Special Issue, "New Frontiers in Materials Design for Laser Additive Manufacturing", focuses on advances in material design and the development of laser additive manufacturing. Of particular interest are original papers dealing with metal and polymer powders for laser powder bed fusion or directed energy deposition. In this Special Issue, we are especially interested in answering the following questions: How can laser process parameters and material properties be adapted to the LAM process via the matrix modification (e.g., alloying, doping, compounding) of powders? How can powder properties like flowability, wetting, porosity, or (heterogeneous) nucleation be adapted to the LAM process via the surface modification of powders? How may calorimetry, high-speed videography, pyrometry, and online spectroscopy, as well as modeling, contribute to understanding dynamics of melting and recrystallization, in addition to the lateral distribution of the thermal process window?