Mathematics

This is the best seller in this market. It provides a comprehensive introduction to complex variable theory and its applications to current engineering problems. It is designed to make the fundamentals of the subject more easily accessible to students who have little inclination to wade through the rigors of the axiomatic approach. Modeled after standard calculus books—both in level of exposition and layout—it incorporates physical applications throughout the presentation, so that the mathematical methodology appears less sterile to engineering students.

• NEW—Downloadable MATLAB toolbox—A state-of-the-art computer aid.
• Enables visualization of complex arithmetic operations and conformal maps using a graphics-based computer program. Animations, color, and accurate drawings enhance lecture presentations.
• NEW—Modern exposition of the use of complex numbers in linear analysis—AC circuits, kinematics, signal processing.
• Provides students with an alternative perspective on these applications.
• NEW—Section on Julia sets—The graphical depiction of iterated complex functions leads to interesting fractal patterns.
• Familiarizes students with a recent topic in complex analysis research.
• NEW—Early introduction of Euler's formula.
• Obviates the clumsy “cis” notation.
• Physical interpretation of properties of analytic function as equilibrium temperature profiles—Properties such as maximum principles, boundary value determinations, and mean values are well known for temperatures.
• Two alternative presentations of Cauchy's theorem are given
  (Ch. 4)—The first is based on the deformation of contours (homotopy). The second interprets contour integrals in terms of line integrals and invokes Green's theorem to complete the argument. These developments are presented parallel to one another. Either one may be read, and the other omitted, without disrupting the exposition.
• Provides an alternative approach that is easy to visualize and to apply in specific situations.
• Frequent use of analogies from elementary calculus or algebra to introduce complex concepts.
• Helps students to anticipate results and to tie them to familiar ideas.
• Highly readable exposition on numerical conformal mapping—Draws the distinction between direct methods, wherein a mapping must be constructed to solve a specific problem, and indirect methods that postulate a mapping and then investigate which problems it solves. Dispels the impression that all applications of the technique fall into the latter category.
• Important for modern applications; relates to other areas of mathematics.
• A self-contained approach—Includes all the proofs that reflect the spirit of analytic function theory, and omits most of those that involve deeper results from real analysis (e.g., does not prove the convergence of Riemann sums for complex integrals, the Cauchy criterion for convergence of a series, Goursat's generalization of Cauchy's theorem, or the Riemann mapping theorem). Also, shuns the ordered-pairs interpretations of complex numbers in favor of the more intuitive approach (grounded in algebraic field extensions).
• Applications to “real world” engineering problems.
• Engages students and helps to enliven the mathematics.
• Linear systems analysis used as a recurring application—The basic ideas of frequency analysis are introduced in Ch. 3 following the study of the transcendental functions. Smith charts, circuit synthesis, and stability criteria are addressed at appropriate times; and the development culminates in Ch. 8 with the exposition of Fourier, Mellin, Laplace, Hilbert, and z-transforms. Proofs of the transform representations are offered for those cases where analytic function theory applies.

 1. Complex Numbers.


 2. Analytic Functions.


 3. Elementary Functions.


 4. Complex Integration.


 5. Series Representations for Analytic Functions.


 6. Residue Theory.


 7. Conformal Mapping.


 Appendix A. Numerical Construction of Conformal Maps.


 Appendix B. Table of Conformal Mappings.


 Answers to Odd-Numbered Problems.


 Index.

Complex Analysis  (Mathematics)

Instructors Solutions Manual for IRC download only, 3/E
Saff
©2003 | Prentice Hall | On-line Supplement | Instock
ISBN-10: 0132286246 | ISBN-13: 9780132286244
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Addison-Wesley's Algebra Review
Addison-Wesley
©2004 | Prentice Hall | Paper | Out of Stock
ISBN-10: 0321247086 | ISBN-13: 9780321247087

Addison-Wesley's Basic Math Review
Addison-Wesley
©2004 | Prentice Hall | Paper | Instock
ISBN-10: 0321247078 | ISBN-13: 9780321247070

Algebra Review Study Card, 2/E
D'Ippolito & Generazzo
©2006 | Prentice Hall | Study Card; 6 pp | Instock
ISBN-10: 0321394739 | ISBN-13: 9780321394736
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Allied Health Study Card, 2/E
Forshier
©2006 | Prentice Hall | Study Card | Instock
ISBN-10: 0321394747 | ISBN-13: 9780321394743
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Basic Math Review Card, 2/E
Addison-Wesley
©2006 | Prentice Hall | Study Card; 6 pp | Instock
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©2008 | Prentice Hall | Multiple Media Package | Instock
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Addison-Wesley
©2008 | Prentice Hall | Multiple Media Package | Instock
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Discovering Algebra: Examples with Keystrokes on the TI-83/TI-82 and TI-85/TI-86, A Laboratory Approach
Pirich & Bigliani
©1997 | Prentice Hall | Paper; 195 pp | Instock
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Finite Mathematics Study Card
Addison-Wesley
©2006 | Prentice Hall | Study Card | Instock
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Becker
©2004 | Prentice Hall | Paper | Instock
ISBN-10: 0321143094 | ISBN-13: 9780321143099
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Ripley
©2006 | Prentice Hall | Study Card; 6 pp | Instock
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Addison-Wesley
©2006 | Prentice Hall | CD-ROM Only | Instock
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Interwrite Personal Response System
EduCue, Addison-Wesley & Benjamin Cummings
©2004 | Prentice Hall | Electronic Supplement | Instock
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Math for Allied Health Study/Reference Card
Forshier
©2006 | Prentice Hall | Study Card; 0 pp | Out of Stock
ISBN-10: 0321336542 | ISBN-13: 9780321336545

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©2000 | Prentice Hall | Paper; 48 pp | Instock
ISBN-10: 0201728966 | ISBN-13: 9780201728965
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Overcoming Math Anxiety, 2/E
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©2000 | Prentice Hall | Paper | Instock
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Pearson TI Rebate Coupon $15, 2/E
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©2009 | Prentice Hall | Paper | Instock
ISBN-10: 0321566041 | ISBN-13: 9780321566041

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Wheel
©2006 | Prentice Hall | Paper; 300 pp | Instock
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©2002 | Prentice Hall | Paper; 224 pp | Instock
ISBN-10: 0201773473 | ISBN-13: 9780201773477
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Saleable Technology Bundle, 2/E
Pearson Education
©2009 | Prentice Hall | Multiple Media Package | Estimated Availability : 09/01/2008
ISBN-10: 0321561880 | ISBN-13: 9780321561886

Spanish Basic Math Study Card
Leonarte
©2007 | Prentice Hall | Study Card | Instock
ISBN-10: 0321438582 | ISBN-13: 9780321438584
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Stand-alone Access Code Tutor Center
Addison-Wesley
©2008 | Prentice Hall | Access Code Card | Instock
ISBN-10: 0201721708 | ISBN-13: 9780201721706
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