Advanced Engineering Mathematics - Softcover

Kreyszig Erwin

Softcover

ISBN 10: 8126531355 ISBN 13: 9788126531356

Verlag: Wiley

Inhaltsangabe

This market leading text is known for its comprehensive coverage, careful and correct mathematics, outstanding exercises and self contained subject matter parts for maximum flexibility. The new edition continues with 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. Table of Contents PART A: ORDINARY DIFFERENTIAL EQUATIONS (ODE'S). Chapter 1. First-Order ODE's. Chapter 2. Second Order Linear ODE's. Chapter 3. Higher Order Linear ODE's. Chapter 4. Systems of ODE's Phase Plane, Qualitative Methods. Chapter 5. Series Solutions of ODE's Special Functions. Chapter 6. Laplace Transforms. PART B: LINEAR ALGEBRA, VECTOR CALCULUS. Chapter 7. Linear Algebra: Matrices, Vectors, Determinants: Linear Systems. Chapter 8. Linear Algebra: Matrix Eigenvalue Problems. Chapter 9. Vector Differential Calculus: Grad, Div, Curl. Chapter 10. Vector Integral Calculus: Integral Theorems. PART C: FOURIER ANALYSIS, PARTIAL DIFFERENTIAL EQUATIONS. Chapter 11. Fourier Series, Integrals, and Transforms. Chapter 12. Partial Differential Equations (PDE's). Chapter 13. Complex Numbers and Functions. Chapter 14. Complex Integration. Chapter 15. Power Series, Taylor Series. Chapter 16. Laurent Series: Residue Integration. Chapter 17. Conformal Mapping. Chapter 18. Complex Analysis and Potential Theory. PART D: NUMERICAL ANALYSIS SOFTWARE. Chapter 19. Numerics in General. Chapter 20. Numerical Linear Algebra. Chapter 21. Numerics for ODE's and PDE's. PART E: OPTIMIZATION, GRAPHS. Chapter 22. Unconstrained Optimization: Linear Programming. Chapter 23. Graphs, Combinatorial Optimization. PART F: PROBABILITY; STATISTICS. Chapter 24. Data Analysis: Probability Theory. Chapter 25. Mathematical Statistics. Appendix 1: References. Appendix 2: Answers to Odd-Numbered Problems. Appendix 3: Auxiliary Material. Appendix 4: Additional Proofs. Appendix 5: Tables. Index.

Über diesen Titel

Über die Autorin bzw. den Autor

Erwin O. Kreyszig (January 6, 1922 in Pirna, Germany December 12, 2008) was a German Canadian applied mathematician and the Professor of Mathematics at Carleton University in Ottawa, Canada. He was a pioneer in the field of applied mathematics: non-wave replicating linear systems. He was also a distinguished author, having written the textbook Advanced Engineering Mathematics, the leading textbook for civil, mechanical, electrical, and chemical engineering undergraduate engineering mathematics. Kreyszig received his Ph.D. degree in 1949 at the University of Darmstadt under the supervision of Alwin Walther. He then continued his research activities at the universities of Tübingen and Münster. Prior to joining Carleton University in 1984, he held positions at Stanford University (1954/55), the University of Ottawa (1955/56), Ohio State University (1956 60, professor 1957) and he completed his habilitation at the University of Mainz. In 1960 he became professor at the Technical University of Graz and organized the Graz 1964 Mathematical Congress. He worked at the University of Düsseldorf (1967 71) and at the University of Karlsruhe (1971 73). From 1973 through 1984 he worked at the University of Windsor and since 1984 he had been at Carleton University. He was awarded the title of Distinguished Research Professor in 1991 in recognition of a research career during which he published 176 papers in refereed journals, and 37 in refereed conference proceedings. Kreyszig was also an administrator, developing a Computer Centre at the University of Graz, and at the Mathematics Institute at the University of Düsseldorf. In 1964, he took a leave of absence from Graz to initiate a doctoral program in mathematics at Texas A&M University. Kreyszig authored 14 books, including Advanced Engineering Mathematics, which was published in its 10th edition in 2011. He supervised 104 master's, 22 doctoral, and 12 postdoctoral students. Together with his son he founded the Erwin and Herbert Kreyszig scholarship which has funded graduate students since 2001.

Details zur Ausgabe

• Verlag: Wiley
• ISBN 10: 8126531355
• ISBN 13: 9788126531356
• Einband: Tapa blanda
• Sprache: Englisch
• Anzahl der Seiten: 1152
• Kontakt zum Hersteller: Nicht verfügbar