A comprehensive and essential text in numerical analysis, focusing on the symmetric eigenvalue problem. According to the author, "Vibrations are everywhere, and so too are the eigenvalues associated with them". As mathematical models are increasingly used across disciplines, the demand for calculating eigenvalues grows. The aim is to provide the mathematical knowledge necessary to understand th…
FORTRAN 77 and Numerical Methods for Engineers by Garold J. Borse is a structured textbook that introduces beginners to the FORTRAN language while emphasizing its application in numerical analysis. The text incorporates sound programming practices with rigorous engineering computations, featuring extensive assignments that illustrate methods such as root finding, matrix operations, and curve fi…
Buku materi pokok ini disusun untuk membekali mahasiswa dengan pemahaman mendalam mengenai teknik-teknik penyelesaian masalah matematika secara numerik menggunakan algoritma yang dapat diimplementasikan dalam komputer. Pembahasan dalam modul ini mencakup berbagai metode untuk mencari akar persamaan non-linear, penyelesaian sistem persamaan linear, interpolasi, serta integrasi dan diferensiasi n…
Edisi jurnal ini menyajikan kumpulan hasil penelitian ilmiah yang berfokus pada bidang manufaktur, mekanika fluida, dan manajemen teknik. Materi yang dibahas meliputi analisis pengaruh proses pengelasan terhadap perubahan struktur mikro dan tingkat kekerasan material aluminium A1 2024-T351, serta studi mengenai faktor gesek pada aliran fluida di dalam pipa. Selain itu, terdapat pembahasan menge…
Buku ini merupakan referensi komprehensif yang disusun untuk membantu mahasiswa dan praktisi teknik dalam memahami serta menerapkan teknik-teknik komputasi untuk menyelesaikan masalah matematika yang kompleks. Harijono Djojodihardjo menyajikan berbagai algoritma numerik mulai dari pencarian akar persamaan, penyelesaian sistem persamaan linear, interpolasi, integrasi numerik, hingga penyelesaian…
Theory of Elasticity is a rigorous academic text that provides an in-depth exploration of the mathematical theory governing the elastic behavior of solid bodies under external loads. M. Filonenko-Borodich presents the fundamental equations of the theory of elasticity, including the analysis of stress and strain, the generalized Hooke's law, and the formulation of boundary value problems. The bo…
This classic treatise provides a rigorous mathematical foundation for the theory of elasticity, focusing on the deformation of solid bodies under various physical conditions. The authors utilize tensor analysis as a primary tool to develop both finite and classical infinitesimal theories of elasticity. Key topics include the derivation of fundamental equations of equilibrium, complex variable m…
he Mathematical Theory of Plasticity is a seminal work that remains a cornerstone of modern plasticity theory, providing the first systematic account of the mathematical foundations of the subject. Written by Rodney Hill, the text offers an exhaustive treatment of the mechanical behavior of metals and other materials as they deform permanently under applied loads. Key topics include the theory …
Buku ini merupakan referensi teknis tingkat lanjut yang membahas perilaku material padat yang mengalami deformasi permanen (tidak kembali ke bentuk semula) setelah melewati batas elastisnya. Penulis menguraikan prinsip-prinsip mekanika kontinu yang mendasari fenomena plastisitas, termasuk kriteria luluh (yield criteria) seperti Tresca dan Von Mises, hukum aliran (flow rules), dan pengerasan mat…
This comprehensive textbook is designed to provide students in the physical sciences with a solid foundation in the mathematical techniques required for advanced undergraduate and graduate coursework. It covers a wide range of essential topics, including infinite series, complex variables, linear algebra, Fourier series, ordinary and partial differential equations, and special functions. The bo…