Siam Review, 36(2), June 1994 CONTENTS Articles Relativizations of the P=? NP and Other Problems: Developments in Structural Complexity Theory Ronald V. Book Weakly Nonlinear Stability Analysis of Prototype Reaction Diffusion Model Equations David J. Wollkind, Valipuram S. Manoranjan, and Limin Zhang The Newton and Cauchy Perspectives on Computational Nonlinear Optimization J.L. Nazareth Model Problems in Numerical Stability Theory for Initial Value Problems A.M. Stuart and A.R. Humphries Classroom Notes in Applied Mathematics Total Least Squares: State of the Art Regression in Numerical Analysis Yves Nievergelt Smale's Horseshoe Map via Ternary Numbers John Banks and Valentina Dragan Accelerated Convergence in Newton's Method Jurgen Gerlach Problems and Solutions Book Reviews Schrodinger Equations and Diffusion Theory (Masao Nagasawa) Robert Aebi Encounter with Chaos (J. Peinke, J. Parisi, O.E. Rossler, and R. Stoop) Ralph H. Abraham Abstract Evolution Equations, Periodic Problems and Applications (Daniel Daners and Pablo Koch Medina) Sergiu Aizicovici Classical and New Inequalities in Analysis (D.S. Mitrinovic, J.E. Pecaric, and A.M. Fink) Ravi P. Agarwal Lectures on Mechanics (J.E. Marsden) Judith M. Arms Handbook of Writing for the Mathematical Sciences (Nicholas J. Higham) Bart Braden Nonlinearities in Action (A.V. Gaponov-Grekhov and M.I. Rabinovich) Peter J. Bryant Vortex Dyanmics (P.G. Saffman) Russel Caflisch Dynamics and Bifurcations (Jack K. Hale and Huseyin Kocak) S. Roy Choudhury Multiplication of Distributions and Applications to Partial Differential Equations (M. Oberguggenberger) J.F. Colombeau Numerical Methods for Large Eigenvalue Problems (Youcef Saad) Jane Cullum Large Deviations Techniques and Applications (Amir Dembo and Ofer Zeitouni) I.H. Dinwoodie Identifiability in Stochastic Models (B.L.S. Prakasa Rao) R.G. Laha The Dynamics of Cellular Motility (M. Murase) Joseph M. Mahaffy Error Correcting Codes Theory and Applications (Alain Poli and Llorenc Huguet) H.F. Mattson, Jr. Model Building in Mathematical Programming (H.P. Williams) Regina Hunter Mladine Optimum Experimental Designs (A.C. Atkinson and A.N. Donev) William I. Notz Continuous Time Markov Chains (W.J. Anderson) James B. Robertson Mathematical Problems of Classical Nonlinear Electromagnetic Theory (Frederick Bloom) Robert C. Rogers Scientific Programmer's Toolkit Turbo Pascal Edition (M.H. Beilby, R.D. Harding, and M.R. Manning) D.S. Schmidt Handbook of Numerical Analysis, Volume II. Finite Element Methods (Part I) (P.G. Ciarlet and J.L. Lions, eds.) L. Ridgway Scott Dynamical Systems an Introduction with Applications in Economics and Biology (Pierre N.V. Tu) James F. Selgrade Grobner Basesa Computational Approach to Commutative Algebra (Thomas Becker and Volker Weispfenning) Bernd Sturmfels Topics in Bifurcation Theory and Applications (Gerard Iooss and Moritz Adelmeyer) Andre Vanderbauwhede Methods of Singular Integral Equations (A. Dzhuraev) Yongzhi Xu and Wei Lin Selected Collections Chronicle