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1. Complex variables and applications [2014]
 Churchill, Ruel V. (Ruel Vance), 18991987, author.
 Ninth edition.  New York, NY : McGrawHill Education, [2014]
 Description
 Book — xvi, 461 pages : illustrations ; 25 cm.
 Summary

 Chapter 1. Complex Numbers
 Chapter 2. Analytic Functions
 Chapter 3. Elementary Functions
 Chapter 4. Integrals
 Chapter 5. Series
 Chapter 6. Residues and Poles
 Chapter 7. Applications of Residues
 Chapter 8. Mapping by Elementary Functions
 Chapter 9. Conformal Mapping
 Chapter 10. Applications of Conformed Mapping
 Chapter 11. The SchwarzChristoffel Transformation
 Chapter 12. Integral Formulas of the Poisson Type Appendixes.
 (source: Nielsen Book Data)
(source: Nielsen Book Data) 9781259072772 20160614
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Science Library (Li and Ma)
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QA331.7 .C524 2014  Unknown On reserve at Li and Ma Science Library 2hour loan 
CHEMENG30001
 Course
 CHEMENG30001  Applied Mathematics in the Chemical and Biological Sciences
 Instructor(s)
 Spakowitz, Andrew J
 Schey, H. M. (Harry Moritz), 1930
 4th ed.  New York : W.W. Norton, c2005.
 Description
 Book — viii, 163 p. : ill. ; 24 cm.
 Summary

This wellwritten new edition contains a healthy balance of explicit and implied calculation. It updates the notation to bring it in line with modern usage and adds new example exercises.
(source: Nielsen Book Data) 9780393925166 20160528
 Online
Green Library, Science Library (Li and Ma)
Green Library  Status 

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QA433 .S28 2005  Unknown 
Science Library (Li and Ma)  Status 

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QA433 .S28 2005  Unknown On reserve at Li and Ma Science Library 2hour loan 
QA433 .S28 2005  Unknown On reserve at Li and Ma Science Library 2hour loan 
CHEMENG30001
 Course
 CHEMENG30001  Applied Mathematics in the Chemical and Biological Sciences
 Instructor(s)
 Spakowitz, Andrew J
 Box, George E. P.
 2nd ed.  Hoboken, N.J. : WileyInterscience, 2005.
 Description
 Book — xvii, 639 p. : ill ; 24 cm.
 Summary

 Preface to the Second Edition.
 Chapter 1. Catalizing the Generation of Knowledge. 1.1. The Learning Process. 1.2. Important Considerations. 1.3. The Experimenter's Problem and Statistical Methods. 1.4. A Typical Investigation. 1.5. How to Use Statistical Techniques. References and Further Reading.
 Chapter 2. Basics: Probability, Parameters and Statistics. 2.1. Experimental Error. 2.2. Distributions. 2.3. Statistics and Parameters. 2.4. Measures of Location and Spread. 2.5. The Normal Distribution. 2.6. Normal Probability Plots. 2.7. Randomness and Random Variables. 2.8. Covariance and Correlation as Measures of Linear Dependence. 2.9. Student's t Distribution. 2.10. Estimates of Parameters. 2.11. Random Sampling from a Normal Population. 2.12. The ChiSquare and F Distributions. 2.13. The Binomial Distribution. 2.14. The Poisson Distribution. Appendix 2A. Mean and Variance of Linear Combinations of Observations. References and Further Reading.
 Chapter 3. Comparing Two Entities: Relevant Reference Distributions, Tests and Confidence Intervals. 3.1. Relevant Reference Sets and Distributions.
 3.2. Randomized Paired Comparison Design: Boys' Shoes Example. 3.3. Blocking and Randomization. 3.4. Reprise: Comparison, Replication, Randomization, and Blocking in Simple Experiments. 3.5. More on Significance Tests. 3.6. Inferences About Data that are Discrete: Binomial Distribution. 3.7. Inferences about Frequencies (Counts Per Unit): The Poisson Distribution. 3.8. Contingency Tables and Tests of Association. Appendix 3A. Comparison of the Robustness of Tests to Compare Two Entities. Appendix 3B. Calculation of reference distribution from past data. References and Further Reading.
 Chapter 4. Comparing a Number of Entities: Randomized Blocks and Latin Squares. 4.1. Comparing k Treatments in a Fully Randomized Design. 4.2. Randomized Block Designs. 4.3. A Preliminary Note on SplitPlot Experiments and their Relationship to Randomized Blocks. 4.4. More than one blocking component: Latin Squares. 4.5. Balanced Incomplete Block Designs. Appendix 4A. The Rationale for the Graphical ANOVA. Appendix 4B. Some Useful Latin Square, GraecoLatin Square, and HyperGraecoLatin Square Designs. References and Further Reading.
 Chapter 5. Factorial Designs at Two Levels: Advantages of Experimental Design. 5.1. Introduction. 5.2. Example
 1: The Effects of Three Factors (Variables) on Clarity of Film. 5.3. Example
 2: The Effects of Three Factors on Three Physical Properties of a Polymer Solution. 5.4. A
 23 Factorial Design: Pilot Plant Investigation. 5.5. Calculation of Main Effects. 5.6. Interaction Effects. 5.7. Genuine Replicate Runs. 5.8. Interpretation of Results. 5.9. The Table of Contrasts. 5.10. Misuse of the ANOVA for 2k Factorial Experiments. 5.11. Eyeing the Data. 5.12. Dealing with More Than One Response: A Pet Food Experiment. 5.13. A
 24 Factorial Design: Process Development Study. 5.14. Analysis Using Normal and Lenth Plots. 5.15. Other Models for Factorial Data. 5.16. Blocking the 2k Factorial Designs. 5.17. Learning by Doing. 5.18. Summary. Appendix 5A. Blocking Larger Factorial Designs. Appendix 5B. Partial Confounding. References and Further Reading.
 Chapter 6. Fraction Factorial Designs: Economy in Experimentation. 6.1. Effects of Five Factors on Six Properties of Films in Eight Runs. 6.2. Stability of New Product, Four Factors in Eight Runs, a
 24
 1 Design. 6.3. A HalfFraction Example: The Modification of a Bearing. 6.4. The Anatomy of the Half Fraction. 6.5. The
 27 4III Design: A Bicycle Example. 6.6. EightRun Designs. 6.7. Using Table 6.6: An Illustration. 6.8. Sign Switching, Foldover, and Sequential Assembly. 6.9. An Investigation Using MultipleColumn Foldover. 6.10. Increasing Design Resolution from III to IV by Foldover. 6.11. SixteenRun Designs. 6.12. The
 25
 1 Nodal Half Replicate of the
 25 Factorial: Reactor Example. 6.13. The
 28
 4 IV Nodal Sixteenth Fraction of a
 28 Factorial. 6.14. The
 215
 11 III Nodal Design: The SixtyFourth Fraction of the
 215 Factorial. 6.15. Constructing Other TwoLevel Fractions. 6.16. Elimination of Block Effects. References and Further Reading.
 Chapter 7. Other Fractionals, Analysis and Choosing Followup Runs. 7.1. Plackett and Burman Designs. 7.2. Choosing FollowUp Runs. 7.3. Justifications for the Use of Fractionals. Appendix 7A. Technical Details. Appendix 7B. An Approximate Partial Analysis for PB Designs. Appendix 7C. Hall's Orthogonal Designs. References and Further Reading.
 Chapter 8. Factorial Designs and Data Transformation. 8.1. A TwoWay (Factorial) Design. 8.2. Simplification and Increased Sensitivity from Transformation. Appendix 8A. Rationale for Data Transformation. Appendix 8B. Bartlett's chi2nu for Testing Inhomogeneity of Variance. References and Further Reading.
 Chapter 9. Multiple Sources of Variation: Split Plot Designs, Variance Components and Error Transmission. 9.1. SplitPlot Designs, Variance Components, and Error Transmission. 9.2. SplitPlot Designs. 9.3. Estimating Variance Components. 9.4. Transmission of Error. References and Further Reading.
 Chapter 10. Least Squares and Why You Need to Design Experiments. 10.1. Estimation With Least Squares. 10.2. The Versatility of Least Squares. 10.3. The Origins of Experimental Design. 10.4. Nonlinear Models. Appendix 10A. Vector Representation of Statistical Concepts. Appendix 10B. Matrix Version of Least Squares. Appendix 10C. Analysis of Factorials, Botched and Otherwise. Appendix 10D. Unweighted and Weighted Least Squares. References and Further Reading.
 Chapter 11. Modelling Relationships, Sequential Assembly: Basics for Response Surface Methods. 11.1. Some Empirical Models. 11.2. Some Experimental Designs and the Design Information Function. 11.3. Is the Surface Sufficiently Well Estimated? 11.4. Sequential Design Strategy. 11.5. Canonical Analysis. 11.6. BoxBehnken Designs. References and Further Reading.
 Chapter 12. Some Applications of Response Surface Methods. 12.1. Iterative Experimentation To Improve a Product Design. 12.2. Simplification of a Response Function by Data Transformation. 12.3. Detecting and Exploiting Active and Inactive Factor Spaces for MultipleResponse Data. 12.4. Exploring Canonical Factor Spaces. 12.5. From Empiricism to Mechanism. 12.6. Uses of RSM. Appendix 12A. Average Variance of y. Appendix 12B. References and Further Reading.
 Chapter 13. Designing Robust Products: An Introduction. 13.1. Environmental Robustness. 13.2. Robustness To Component Variation. Appendix 13A. A Mathematical Formulation for Environmental Robustness. Appendix 13B. Choice of Criteria. References and Further Reading.
 Chapter 14. Process Control, Forecasting and Times Series: An Introduction. 14.1. Process Monitoring. 14.2. The Exponentially Weighted Moving Average. 14.3. The CuSum Chart. 14.4. Process Adjustment. 14.5. A Brief Look At Some Time Series Models and Applications. 14.6. Using a Model to Make a Forecast. 14.7. Intervention Analysis: A Los Angeles Air Pollution Example. References and Further Reading.
 Chapter 15. Evolutionary Process Operation. 15.1. More than One Factor. 15.2. Multiple Responses. 15.3. The Evolutionary Process Operation Committee. References and Further Reading. Appendix Tables. Author Index. Subject Index.
 (source: Nielsen Book Data)
(source: Nielsen Book Data) 9780471718130 20160528
 Online
Science Library (Li and Ma)
Science Library (Li and Ma)  Status 

Stacks  
QA279 .B69 2005  Unknown On reserve at Li and Ma Science Library 2hour loan 
QA279 .B69 2005  Unknown On reserve at Li and Ma Science Library 2hour loan 
CHEMENG30001
 Course
 CHEMENG30001  Applied Mathematics in the Chemical and Biological Sciences
 Instructor(s)
 Spakowitz, Andrew J
 Varma, Arvind.
 New York : Oxford University Press, 1997.
 Description
 Book — xiv, 690 p. : ill. ; 24 cm.
 Summary

 1. Matrices and Their Application
 2. FirstOrder Nonlinear Ordinary Differential Equations and Stability Theory
 3. Theory of Linear Ordinary Differential Equations (ODEs)
 4. Series Solutions and Special Functions
 5. Fundamentals of Partial Differential Equations
 6. FirstOrder Partial Differential Equations
 7. Generalized Fourier Transform Methods for Linear Partial Differential Equations
 8. Laplace Transform
 9. Perturbation Methods.
 (source: Nielsen Book Data)
(source: Nielsen Book Data) 9780195098211 20160528
 Online
Science Library (Li and Ma)
Science Library (Li and Ma)  Status 

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TP149 .V36 1997  Unknown 
TP149 .V36 1997  Unknown On reserve at Li and Ma Science Library 2hour loan 
CHEMENG30001
 Course
 CHEMENG30001  Applied Mathematics in the Chemical and Biological Sciences
 Instructor(s)
 Spakowitz, Andrew J
 Braun, Martin, 1941
 4th ed.  New York : SpringerVerlag, c1993.
 Description
 Book — 578 p. : ill. ; 25 cm.
 Summary

 Chapter 1 Firstorder differential equations *
 Chapter 2 Secondorder linear differential equations *
 Chapter 3 Systems of differential equations *
 Chapter 4 Qualitative theory of differential equations *
 Chapter 5 Separation of variables and Fourier series *
 Chapter 6 Sturm Liouville boundary value problems * Appendix A Some simple facts concerning functions of several variables * Appendix B Sequences and series * Appendix C C Programs * Answers to oddnumbered exercises * Index.
 (source: Nielsen Book Data)
(source: Nielsen Book Data) 9783540978947 20160528
Used in undergraduate classrooms across the country, this book is a clearly written, rigorous introduction to differential equations and their applications. Fully understandable to students who have had one year of calculus, this book differentiates itself from other differential equations texts through its engaging application of the subject matter to interesting scenarios. This fourth edition incorporates earlier introductory material on bifurcation theory and adds a new chapter on SturmLiouville boundary value problems. Computer programs in C, Pascal, and Fortran are presented throughout the text to show the read how to apply differential equations towards quantitative problems.
(source: Nielsen Book Data) 9780387978949 20160528
Science Library (Li and Ma)
Science Library (Li and Ma)  Status 

Stacks  
QA371 .B795 1993  Unknown On reserve at Li and Ma Science Library 2hour loan 
CHEMENG30001
 Course
 CHEMENG30001  Applied Mathematics in the Chemical and Biological Sciences
 Instructor(s)
 Spakowitz, Andrew J