1.

Record Nr.

UNINA9910467265103321

Autore

Argiroffi Carlo

Titolo

Estratto da Causa e contratto nella prospettiva storico-comparatistica : II Congresso Internazionale ARISTEC, Palermo-Trapani, 7-10 giugno 1995 / / Carlo Argiroffi ; a cura di Letizia Vacca

Pubbl/distr/stampa

Torino, [Italy] : , : G. Giappichelli Editore, , 2017

©2017

ISBN

88-921-7068-6

Descrizione fisica

1 online resource (97 pages)

Disciplina

346.4502

Soggetti

Contracts - Italy

Electronic books.

Lingua di pubblicazione

Italiano

Formato

Materiale a stampa

Livello bibliografico

Monografia

Nota di bibliografia

Includes bibliographical references.



2.

Record Nr.

UNINA9910958953503321

Autore

Yang Xin-She

Titolo

Applied engineering mathematics / / Xin-She Yang

Pubbl/distr/stampa

Cambridge, UK, : Cambridge International Science Publishing, c2007

ISBN

1-907343-65-2

Descrizione fisica

1 online resource (333 p.)

Soggetti

Engineering mathematics

Mathematical analysis

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

Bibliographic Level Mode of Issuance: Monograph

Nota di bibliografia

Includes bibliographical references and index.

Nota di contenuto

Intro -- Preface -- Acknowledgements -- About the Author -- Contents -- 1. Calculus -- 1.1 Differentiations -- 1.2 Integrations -- 1.3 Partial Differentiation -- 1.4 Multiple Integrals -- 1.5 Some Special Integrals -- 2. Vector Analysis -- 2.1 Vectors -- 2.1.1 Dot Product and Norm -- 2.2 Vector Algebra -- 2.3 Applications -- 3. Matrix Algebra -- 3.1 Matrix -- 3.2 Determinant -- 3.3 Inverse -- 3.4 Matrix Exponential -- 3.5 Hermitian and Quadratic Forms -- 3.6 Solution of linear systems -- 4. Complex Variables -- 4.1 Complex Numbers and Functions -- 4.2 Hyperbolic Functions -- 4.3 Analytic Functions -- 4.4 Complex Integrals -- 5. Ordinary Differential Equations -- 5.1 Introduction -- 5.2 First Order ODEs -- 5.3 Higher Order ODEs -- 5.4 Linear System -- 5.5 Sturm-Liouville Equation -- 5.5.1 Bessel Equation -- 6. Recurrence Equations -- 6.1 Linear Difference Equations -- 6.2 Chaos and Dynamical Systems -- 6.3 Self-similarity and Fractals -- 7. Vibration and Harmonic Motion -- 7.1 Undamped Forced Oscillations -- 7.2 Damped Forced Oscillations -- 7.3 Normal Modes -- 7.4 Small Amplitude Oscillations -- 8. Integral Transforms -- 8.1 Fourier Transform -- 8.2 Laplace Transforms -- 8.3 Wavelet -- 9. Partial Differential Equations -- 9.1 First Order PDE -- 9.2 Classification -- 9.3 Classic PDEs -- 10. Techniques for Solving PDEs -- 10.1 Separation of Variables -- 10.2 Transform Methods -- 10.3 Similarity Solution -- 10.4 Travelling Wave Solution -- 10.5 Green's Function -- 10.6 Hybrid Method -- 11. Integral Equations -- 11.1 Calculus of Variations -- 11.2 Integral Equations -- 11.3 Solution of Integral Equations -- 12.



Tensor Analysis -- 12.1 Notations -- 12.2 Tensors -- 12.3 Tensor Analysis -- 13. Elasticity -- 13.1 Hooke's Law and Elasticity -- 13.2 Maxwell's Reciprocal Theorem -- 13.3 Equations of Motion -- 13.4 Airy Stress Functions.

13.5 Euler-Bernoulli Beam Theory -- 14. Mathematical Models -- 14.1 Classic Models -- 14.2 Other PDEs -- 15. Finite Difference Method -- 15.1 Integration of ODEs -- 15.2 Hyperbolic Equations -- 15.3 Parabolic Equation -- 15.4 Elliptical Equation -- 16. Finite Volume Method -- 16.1 Introduction -- 16.2 Elliptic Equations -- 16.3 Parabolic Equations -- 16.4 Hyperbolic Equations -- 17. Finite Element Method -- 17.1 Concept of Elements -- 17.2 Finite Element Formulation -- 17.3 Elasticity -- 17.4 Heat Conduction -- 17.5 Time-Dependent Problems -- 18. Reaction Diffusion System -- 18.1 Heat Conduction Equation -- 18.2 Nonlinear Equations -- 18.3 Reaction-Diffusion System -- 19. Probability and Statistics -- 19.1 Probability -- 19.2 Statistics -- References -- Appendix A Mathematical Formulas -- A.1 Differentiations and Integrations -- A.2 Vectors and Matrices -- A.3 Asymptotics -- A.4 Special Integrals -- Index.

Sommario/riassunto

This book endeavours to strike a balance between mathematical and numerical coverage of a wide range of mathematical methods and numerical techniques. It strives to provide an introduction, especially for undergraduates and graduates, to engineering mathematics and its applications. Topics include advanced calculus, ordinary differential equations, partial differential equations, vector and tensor analysis, calculus of variations, integral equations, the finit difference method, reaction-diffusion system, and probability and statistics. The book also emphasizes the application of important mathematical methods with dozens of worked examples. The applied topics include elasticity, harmonic motion, chaos, kinematics, pattern formation and hypothesis testing. The book can serve as a textbook in engineering mathematics, mathematical modelling and scientific computing.