Mathematics

• 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)

Instructor's Solutions Manual (Download only) for Fundamentals of Complex Analysis with Applications to Engineering, Science, and Mathematics, 3/E
Saff
©2003 | Pearson | On-line Supplement | Instock
ISBN-10: 0132286246 | ISBN-13: 9780132286244
    View Downloadable Files

For the Mathematics Discipline

Addison-Wesley's Algebra Review
Addison-Wesley
©2004 | Pearson | Paper | Instock
ISBN-10: 0321247086 | ISBN-13: 9780321247087
Suggested retail price: $4.00Net price: $3.00  (What's this?)

Addison-Wesley's Basic Math Review
Addison-Wesley
©2004 | Pearson | Paper | Out of Stock
ISBN-10: 0321247078 | ISBN-13: 9780321247070
Suggested retail price: $4.00Net price: $3.00  (What's this?)

Algebra Review Study Card, 2/E
D'Ippolito & Generazzo
©2006 | Pearson | Study Card; 6 pp | Instock
ISBN-10: 0321394739 | ISBN-13: 9780321394736
Suggested retail price: $4.00  Buy from myPearsonStore
Net price: $3.00  (What's this?)

Allied Health Study Card, 2/E
Forshier
©2006 | Pearson | Study Card | Instock
ISBN-10: 0321394747 | ISBN-13: 9780321394743
Suggested retail price: $4.00  Buy from myPearsonStore
Net price: $3.00  (What's this?)

Basic Math Review Card, 2/E
Addison-Wesley
©2006 | Pearson | Study Card; 6 pp | Instock
ISBN-10: 0321394763 | ISBN-13: 9780321394767
Suggested retail price: $4.00  Buy from myPearsonStore
Net price: $3.00  (What's this?)

Concept Videos: Basic Math & Prealgebra
Addison-Wesley
©2008 | Pearson | Multiple Media Package | Instock
ISBN-10: 032151758X | ISBN-13: 9780321517586
Suggested retail price: $36.67Net price: $27.50  (What's this?)

Discovering Algebra: Examples with Keystrokes on the TI-83/TI-82 and TI-85/TI-86, A Laboratory Approach
Pirich & Bigliani
©1997 | Pearson | Paper; 195 pp | Instock
ISBN-10: 0136492037 | ISBN-13: 9780136492030
Suggested retail price: $42.71  Buy from myPearsonStore
Net price: $32.03  (What's this?)

Finite Mathematics Study Card
Addison-Wesley
©2006 | Pearson | Study Card | Instock
ISBN-10: 0321374398 | ISBN-13: 9780321374394
Suggested retail price: $4.00  Buy from myPearsonStore
Net price: $3.00  (What's this?)

Flash Review Series: Algebra
Becker
©2004 | Pearson | Paper | Instock
ISBN-10: 0321143094 | ISBN-13: 9780321143099
Suggested retail price: $16.95  Buy from myPearsonStore
Net price: $8.64  (What's this?)

Graphing Calculator Reference Card, 3/E
Ripley
©2006 | Pearson | Study Card; 6 pp | Instock
ISBN-10: 0321394755 | ISBN-13: 9780321394750
Suggested retail price: $4.00  Buy from myPearsonStore
Net price: $3.00  (What's this?)

Graphing Calculator Tutorial CD
Addison-Wesley
©2006 | Pearson | CD-ROM Only | Instock
ISBN-10: 0321357744 | ISBN-13: 9780321357748
Suggested retail price: $13.33  Buy from myPearsonStore
Net price: $10.00  (What's this?)

Math for Allied Health Study/Reference Card
Forshier
©2006 | Pearson | Study Card; 0 pp | Out of Stock
ISBN-10: 0321336542 | ISBN-13: 9780321336545
Suggested retail price: $4.00Net price: $3.00  (What's this?)

Mathematics Spanish Glossary, 2/E
Lara & Peeples
©2000 | Pearson | Paper; 48 pp | Instock
ISBN-10: 0201728966 | ISBN-13: 9780201728965
Suggested retail price: $12.40  Buy from myPearsonStore
Net price: $9.30  (What's this?)

Overcoming Math Anxiety, 2/E
Davidson & Levitov
©2000 | Pearson | Paper | Instock
ISBN-10: 0321069188 | ISBN-13: 9780321069184
Suggested retail price: $36.67  Buy from myPearsonStore
Net price: $27.50  (What's this?)

Pearson TI Rebate Coupon $15, 2/E
Pearson Education
©2009 | Pearson | Paper | Instock
ISBN-10: 0321566041 | ISBN-13: 9780321566041
Suggested retail price: $0.00Net price: $0.00  (What's this?)

Prealgebra Review Workbook
Wheel
©2006 | Pearson | Paper; 300 pp | Instock
ISBN-10: 0321473329 | ISBN-13: 9780321473325
Suggested retail price: $36.67  Buy from myPearsonStore
Net price: $27.50  (What's this?)

Review of Algebra, A
Howard
©2002 | Pearson | Paper; 224 pp | Instock
ISBN-10: 0201773473 | ISBN-13: 9780201773477
Suggested retail price: $36.67  Buy from myPearsonStore
Net price: $27.50  (What's this?)

Saleable Technology Bundle, 2/E
Pearson
©2009 | Pearson | Multiple Media Package | Estimated Availability : 09/01/2008
ISBN-10: 0321561880 | ISBN-13: 9780321561886
Suggested retail price: $39.93Net price: $29.95  (What's this?)

Spanish Basic Math Study Card
Leonarte
©2007 | Pearson | Study Card | Instock
ISBN-10: 0321438582 | ISBN-13: 9780321438584
Suggested retail price: $4.00  Buy from myPearsonStore
Net price: $3.00  (What's this?)

Stand-alone Access Code Tutor Center
Addison-Wesley
©2008 | Pearson | Access Code Card | Instock
ISBN-10: 0201721708 | ISBN-13: 9780201721706
URL:  http://www.aw-bc.com/tutorcenterSuggested retail price: $49.64  Buy from myPearsonStore
Net price: $37.23  (What's this?)

Pearson Higher Education offers special pricing when you choose to package your text with other student resources. If you're interested in creating a cost-saving package for your students contact your Pearson Higher Education representative.