This new edition continues the tradition of providing instructors and students with a comprehensive and up-to-date resource for teaching and learning engineering mathematics, that is, applied mathematics for engineers and physicists, mathematicians and computer scientists, as well as members of other disciplines. A course in elementary Calculus is the sole prerequisite.
The subject matter is arranged into seven parts A-G:
A Ordinary Differential Equations (ODEs) (Chaps. 1-6)
B Linear Algebra. Vector Calculus (Chap. 7-9)
C Fourier Analysis. Partial Differential Equations (PDEs) (Chaps. 11-12)
D Complex Analysis (Chaps. 13-18)
E Numeric Analysis (Chaps. 19-21)
F Optimization, Graphs (Chaps. 22-23)
G Probability, Statistics (Chaps. 24-25)
This is followed by five appendicws:
App. 1 References (ordered by parts)
App. 2 Answers to Odd-Numbered Problems
App. 3 Auxiliary Material (see also inside covers)
App. 4 Additional Proofs
App. 5 Tables of Functions.
This book has helped to pave the way for the present development of engineering mathematics. By a modern approach to those areas A-G, this new edition will prepare the stuent for the tasks of the present and of the future. The latter can be predicted to some extent by a judicious look at the present trend. Among other features, this trend shows the appearance of more complex production processes, more extreme physical conditions (in space travel, high-speed communication, etd.), and new tasks in robotics and communication systems (e.g., fiber optics and scan statistics on random graphs) and elsewhere. This requires the refinement of existing methods and the creation of new ones.
Part 1 Ordinary Differential Equations (ODEs)
Part 2 Linear Algebra. Vector Calculus
Part 3 Fourier Analysis. Partial Differential Equations (PDEs)
Part 4 Complex Analysis
Part 5 Numeric Analysis
Part 6 Optmization, Graphs
Part 7 Probability, Statistics