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Book
xix, 756 p. : ill. ; 24 cm.
This book emphasizes the physical interpretation of mathematical solutions and introduces applied mathematics while presenting differential equations. Coverage includes Fourier series, orthogonal functions, boundary value problems, Green's functions, and transform methods. This text is ideal for readers interested in science, engineering, and applied mathematics.
(source: Nielsen Book Data)9780321797056 20160608
Engineering Library (Terman)
CME-204-01, ME-300B-01
Book
xxi, 1113, 109, 130 p. : col. ill. ; 26 cm.
The tenth edition of this bestselling text includes examples in more detail and more applied exercises; both changes are aimed at making the material more relevant and accessible to readers. Kreyszig introduces engineers and computer scientists to advanced math topics as they relate to practical problems. It goes into the following topics at great depth differential equations, partial differential equations, Fourier analysis, vector analysis, complex analysis, and linear algebra/differential equations.
(source: Nielsen Book Data)9780470458365 20160610
Engineering Library (Terman)
CME-102-01, CME-204-01, ENGR-155A-01, ME-300B-01
Book
1 v. (various pagings) : ill. ; 27 cm.
  • 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 E: NUMERICAL ANALYSIS SOFTWARE. Chapter 19. Numerics in General. Chapter 20. Numerical Linear Algebra. Chapter 21. Numerics for ODE's and PDE's. PART F: OPTIMIZATION, GRAPHS. Chapter 22. Unconstrained Optimization: Linear Programming. Chapter 23. Graphs, Combinatorial Optimization. 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. Index.
  • (source: Nielsen Book Data)9780471728979 20160528
  • How to Use this Student Solutions Manual and Study Guide.PART A: ORDINARY DIFERENTIAL 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.Chapter 7. 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 (PDEs).PART D: COMPLEX ANALYSIS.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 E: NUMERIC ANALYSIS.Chapter 19. Numerics in General.Chapter 20. Numeric Linear Algebra.Chapter 21. Numerics for ODEs and PDEs.PART F: OPTIMIZATION, GRAPHS.Chapter 22. Unconstrained Optimization. Linear Programming.Chapter 23. Graphs and Combinatorial Optimization.PART G: PROBABILITY, STATISTICS.Chapter 24. Data Analysis. Probability Theory.Chapter 25. Mathematical Statistics.Photo Credits P1.
  • (source: Nielsen Book Data)9780471726449 20160528
  • Introduction, General Commands.PART A. ORDINARY DIFFERENTAIL EQUATIONS (ODEs).Chapter 1. First-Order ODEs.Chapter 2 and 3. Linear ODEs of Second and Higher Order.Chapter 4. Systems of ODEs. Phase Plane, Qualitative Methods.Chapter 5. Series Solution of ODEs.Chapter 6. Laplace Transform Method for Solving ODEs.PART B. LINEAR ALGEBRA, VECTOR CALCULUS.Chapter 7. Matrices, Vectors, Determinants. Linear Systems of Equations.Chapter 8. Matrix Eigenvalue Problems.Chapter 9. Vector Differential Calculus Grad, Div, Curl.Chapter 10. Vector Integral Calculus. Integral Theorems.PART C. FOURIER ANALYSIS AND PARTIAL DIFFERENTIAL EQUATIONS (PDEs).Chapter 11. Fourier Series, Integrals, and Transforms.Chapter 12. Partial Differential Equations (PDEs).PART D. COMPLEX ANALYSIS.CHAPTER 13. AND 17. Complex Numbers and Functions. Conformal Mapping.Chapter 14. Complex Integration.Chapter 15. Power Series, Taylor Series.Chapter 16. Laurent Series. Residue Integration.Chapter 17. See before.Chapter 18. Complex Analysis in 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.Chapter 22. Unconstrained Optimization, Linear Programming.Chapter 23. No examples, no problems.PART G. PROBABILITY AND STATISTICS.Chapter 24. Data Analysis. Probability Theory.Chapter 25. Mathematical Statistics.Appendix 1. References.Appendix 2. Answers to Odd-Numbered Problems.Index.
  • (source: Nielsen Book Data)9780471726463 20160528
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. Thoroughly updated and streamlined to reflect new developments in the field, the ninth edition of this best-selling text features modern engineering applications and the uses of technology. Kreyszig introduces engineers and computer scientists to advanced math topics as they relate to practical problems. The material is arranged into seven independent parts: ODE; Linear Algebra, Vector Calculus; Fourier Analysis and Partial Differential Equations; Complex Analysis; Numerical methods; Optimization, graphs; and Probability and Statistics.
(source: Nielsen Book Data)9780471728979 20160528
Engineering Library (Terman)
CME-204-01, ME-300B-01
Book
xviii, 769 p. : ill. ; 24 cm.
  • 1. Heat Equation. 2. Method of Separation of Variables. 3. Fourier Series. 4. Vibrating Strings and Membranes. 5. Sturm-Liouville Eigenvalue Problems. 6. Finite Difference Numerical Methods for Partial Differential Equations. 7. Partial Differential Equations with at Least Three Independent Variables. 8. Nonhomogeneous Problems. 9. Green's Functions for Time-Independent Problems. 10. Infinite Domain Problems--Fourier Transform Solutions of Partial Differential Equations. 11. Green's Functions for Wave and Heat Equations. 12. The Method of Characteristics for Linear and Quasi-Linear Wave Equations. 13. A Brief Introduction to Laplace Transform Solution of Partial Differential Equations. 14. Topics: Dispersive Waves, Stability, Nonlinearity, and Perturbation Methods. Bibliography. Selected Answers to Starred Exercises. Index.
  • (source: Nielsen Book Data)9780130652430 20160528
Appropriate for an elementary or advanced undergraduate first course of varying lengths. Also appropriate for beginning graduate students. Its in-depth elementary presentation is intended primarily for students in science, engineering, and applied mathematics. Emphasizing the physical interpretation of mathematical solutions, this book introduces applied mathematics while presenting partial differential equations.
(source: Nielsen Book Data)9780130652430 20160528
Engineering Library (Terman)
CME-204-01, ME-300B-01
Book
xii, 471 p. : ill. ; 25 cm.
  • One--Dimensional Problems--Separation of Variables. Laplace Transform Method. Two and Three Dimensions. Green's Functions. Spherical Geometry. Fourier Transform Methods. Perturbation Methods. Generalizations and First Order Equations. Selected Topics. Appendices. References. Index.
  • (source: Nielsen Book Data)9780471311232 20160528
INTRODUCTORY APPLICATIONS OF PARTIAL DIFFERENTIAL EQUATIONS With Emphasis on Wave Propagation and Diffusion This is the ideal text for students and professionals who have some familiarity with partial differential equations, and who now wish to consolidate and expand their knowledge. Unlike most other texts on this topic, it interweaves prior knowledge of mathematics and physics, especially heat conduction and wave motion, into a presentation that demonstrates their interdependence. The result is a superb teaching text that reinforces the reader's understanding of both mathematics and physics. Rather than presenting the mathematics in isolation and out of context, problems in this text are framed to show how partial differential equations can be used to obtain specific information about the physical system being analyzed. Designed for upper-level students, professionals and researchers in engineering, applied mathematics, physics, and optics, Professor Lamb's text is lucid in its presentation and comprehensive in its coverage of all the important topic areas, including: * One-Dimensional Problems * The Laplace Transform Method * Two and Three Dimensions * Green's Functions * Spherical Geometry * Fourier Transform Methods * Perturbation Methods * Generalizations and First Order Equations In addition, this text includes a supplementary chapter of selected topics and handy appendices that review Fourier Series, Laplace Transform, Sturm-Liouville Equations, Bessel Functions, and Legendre Polynomials.
(source: Nielsen Book Data)9780471311232 20160528
Engineering Library (Terman), eReserve
CME-204-01, ME-300B-01
Book
ix, 425 p. : ill. ; 25 cm.
  • Where PDE's come from-- waves and diffusions-- reflections and sources-- boundary problems-- Fourier series-- harmonic functions-- Green's identities and Green's functions-- computation of solutions-- three-dimensional waves.
  • (source: Nielsen Book Data)9780471548683 20160527
This volume covers the fundamental properties of partial differential equations (PDEs) and the proven techniques useful in analyzing them. It uses a broad approach to illustrate the rich diversity of phenomena such as the vibrations of solids, fluid flow, molecular structure, photon and electron interactions, and the radiation of electomagnetic waves, as well as the role PDEs play in modern mathematics, especially geometry and analysis.
(source: Nielsen Book Data)9780471548683 20160527
Engineering Library (Terman)
CME-204-01, ME-300B-01
Book
xiii, 733 p. : ill. ; 24 cm.
  • 1. Ordinary Differential Equations. 2. The Laplace Transform. 3. Numerical Methods for Solving Ordinary Differential Equations. 4. Series Solutions of Differential Equations-- Special Functions. Boundary-Value Problems and Characteristic-Function Representations. 5. Vector Analysis. 6. Topics in Higher-Dimensional Calculus. 7. Partial Differential Equations. 8. Solutions of Partial Differential Equations. 9. Solutions of Partial Differential Equations of Mathematical Physics. 10. Functions of a Complex Variable. 11. Applications of Analytic Function Theory.
  • (source: Nielsen Book Data)9780130111890 20160528
Two-term text for juniors in physics and engineering. Most often taught out of math departments. Can also work as a good applied math text.
(source: Nielsen Book Data)9780130111890 20160528
Engineering Library (Terman)
CME-204-01, ME-300B-01
Book
xi, 458 p. illus. 27 cm.
Engineering Library (Terman)
CME-204-01, ME-300B-01
Book
ix, 446 p. ; 27 cm.
Engineering Library (Terman)
CME-204-01, ME-300B-01
Book
ix, 446 p. 26 cm.
Engineering Library (Terman)
CME-204-01, ME-300B-01
Engineering Library (Terman)
CME-204-01, ME-300B-01
Engineering Library (Terman)
CME-204-01, ME-300B-01