Modern Mathematical Methods for Scientists And Engineers : (Record no. 6960)

MARC details
000 -LEADER
fixed length control field 02782nam a2200193 4500
005 - DATE AND TIME OF LATEST TRANSACTION
control field 20251110155305.0
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION
fixed length control field 241218b |||||||| |||| 00| 0 eng d
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
ISBN 9781800611832
041 ## - LANGUAGE CODE
Language code of text/sound track or separate title eng
082 ## - DEWEY DECIMAL CLASSIFICATION NUMBER
Classification number 518.6
Item number FokM
100 ## - MAIN ENTRY--AUTHOR NAME
Personal name Fokas, Athanassios
245 ## - TITLE STATEMENT
Title Modern Mathematical Methods for Scientists And Engineers :
Remainder of title a Street-Smart Introduction /
Statement of responsibility, etc Athanassios Fokas and Efthimios Kaxiras
260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT)
Place of publication London :
Name of publisher World Scientific;
Year of publication ©2023.
300 ## - PHYSICAL DESCRIPTION
Number of Pages xxii, 545p.
520 ## - SUMMARY, ETC.
Summary, etc Modern Mathematical Methods for Scientists and Engineers is a modern introduction to basic topics in mathematics at the undergraduate level, with emphasis on explanations and applications to real-life problems. There is also an "Application" section at the end of each chapter, with topics drawn from a variety of areas, including neural networks, fluid dynamics, and the behavior of "put" and "call" options in financial markets. The book presents several modern important and computationally efficient topics, including feedforward neural networks, wavelets, generalized functions, stochastic optimization methods, and numerical methods. A unique and novel feature of the book is the introduction of a recently developed method for solving partial differential equations (PDEs), called the unified transform. PDEs are the mathematical cornerstone for describing an astonishingly wide range of phenomena, from quantum mechanics to ocean waves, to the diffusion of heat in matter and the behavior of financial markets. Despite the efforts of many famous mathematicians, physicists and engineers, the solution of partial differential equations remains a challenge. The unified transform greatly facilitates this task. For example, two and a half centuries after Jean d'Alembert formulated the wave equation and presented a solution for solving a simple problem for this equation, the unified transform derives in a simple manner a generalization of the d'Alembert solution, valid for general boundary value problems. Moreover, two centuries after Joseph Fourier introduced the classical tool of the Fourier series for solving the heat equation, the unified transform constructs a new solution to this ubiquitous PDE, with important analytical and numerical advantages in comparison to the classical solutions. The authors present the unified transform pedagogically, building all the necessary background, including functions of real and of complex variables and the Fourier transform, illustrating the method with numerous examples. Broad in scope, but pedagogical in style and content, the book is an introduction to powerful mathematical concepts and modern tools for students in science and engineering.
650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical Term Mathematical
700 ## - ADDED ENTRY--PERSONAL NAME
Personal name Kaxiras, Efthimios
942 ## - ADDED ENTRY ELEMENTS (KOHA)
Koha item type Books
Holdings
Withdrawn status Lost status Damaged status Collection code Home library Current library Shelving location Date acquired Source of acquisition Purchase Price Bill number Full call number Accession Number Copy number Print Price Bill Date/Price effective from Koha item type
      Mathematics Indian Institute of Technology Tirupati Indian Institute of Technology Tirupati General Stacks 30/09/2025 Shri Raghavendra Global Books 6005.93 9349 518.6 FokM (11987) 11987 Copy 1 8579.90 30/09/2025 Books