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کتاب ریاضی مهندسی کریزیگ
English Title : Advanced Engineering Mathematics 10th Edition
عنوان فارسی : کتاب ریاضیات مهندسی پیشرفته، نسخه 10

Description

Advanced Engineering Mathematics, 10th Edition 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 (ODEs)
Chapter 1 First-Order ODEs
Chapter 2 Second-Order Linear ODEs
Chapter 3 Higher Order Linear ODEs
Chapter 4 Systems of ODEs. Phase Plane. Qualitative Methods
Chapter 5 Series Solutions of ODEs. Special Functions
Chapter 6 Laplace Transforms
Part B Linear Algebra. Vector Calculus 255
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 (PDEs)
Chapter 11 Fourier Analysis
Chapter 12 Partial Differential Equations (PDEs)
Part D Complex Analysis
Chapter 13 Complex Numbers and Functions. Complex Differentiation
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 E Numeric Analysis
Chapter 19 Numerics in General
Chapter 20 Numeric Linear Algebra
Chapter 21 Numerics for ODEs and PDEs
Part F Optimization, Graphs 949
Chapter 22 Unconstrained Optimization. Linear Programming
Chapter 23 Graphs. Combinatorial Optimization
Chapter 23 Review Questions and Problems
Part G 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
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Erwin Kreyszig

Erwin Kreyszig

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 (de). 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.

Bio from Wikipedia, the free encyclopedia.

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