05212nam 2200685Ia 450 991110884080332120251116232404.01-281-76362-497866117636260-08-087376-6(CKB)1000000000554024(EBL)404189(OCoLC)476217324(SSID)ssj0000138885(PQKBManifestationID)11136578(PQKBTitleCode)TC0000138885(PQKBWorkID)10101193(PQKB)11007181(MiAaPQ)EBC404189(EXLCZ)99100000000055402420731217d1974 uy 0engur|n|---|||||txtccrDifferential equations, dynamical systems, and linear algebra /Morris W. Hirsch and Stephen SmaleNew York Academic Press19741 online resource (373 p.)Pure and applied mathematics ;v. 60Description based upon print version of record.0-12-349550-4 Includes bibliographical references.Front Cover; Differential Equations, Dynamical Systems, and Linear Algebra; Copyright Page; Contents; Preface; CHAPTER 1. FIRST EXAMPLES; 1. The Simplest Examples; 2. Linear Systems with Constant Coefficients; Notes; CHAPTER 2. NEWTON'S EQUATION AND KEPLER'S LAW; 1. Harmonic Oscillators; 2. Some Calculus Background; 3. Conservative Force Fields; 4. Central Force Fields; 5. States; 6. Elliptical Planetary Orbits; Notes; CHAPTER 3. LINEAR SYSTEMS WITH CONSTANT COEFICIENTS AND REAL EIGENVALUES; 1. Basic Linear Algebra; 2. Real Eigenvalues3. Differential Equations with Real, Distinct Eigenvalues4. Complex Eigenvalues; CHAPTER 4. LINEAR SYSTEMS WITH CONSTANT COEFFICIENTS AND COMPLEX EIGENVALUES; 1. Complex Vector Spaces; 2. Real Operators with Complex Eigenvalues; 3. Application of Complex Linear Algebra to Differential Equations; CHAPTER 5. LINEAR SYSTEMS AND EXPONENTIALS OF OPERATORS; 1. Review of Topology in Rn; 2. New Norms for Old; 3. Exponentials of Operators; 4. Homogeneous Linear Systems; 5. A Nonhomogeneous Equation; 6. Higher Order Systems; Notes; CHAPTER 6. LINEAR SYSTEMS AND CANONICAL FORMS OF OPERATORS1. The Primary Decomposition2. The S + N Decomposition; 3. Nilpotent Canonical Forms; 4. Jordan and Real Canonical Forms; 5. Canonical Forms and Differential Equations; 6. Higher Order Linear Equations; 7. Operators on Function Spaces; CHAPTER 7. CONTRACTIONS AND GENERIC PROPERTIES OF OPERATORS; 1. Sinks and Sources; 2. Hyperbolic Flows; 3. Generic Properties of Operators; 4. The Significance of Genericity; CHAPTER 8. FUNDAMENTAL THEORY; 1. Dynamical Systems and Vector Fields; 2. The Fundamental Theorem; 3. Existence and Uniqueness; 4. Continuity of Solutions in Initial Conditions5. On Extending Solutions6. Global Solutions; 7. The Flow of a Differential Equation; Notes; CHAPTER 9. STABILITY OF EQUILIBRIA; 1. Nonlinear Sinks; 2. Stability; 3. Liapunov Functions; 4. Gradient Systems; 5. Gradients and Inner Products; Notes; CHAPTER 10. DIFFERENTIAL EQUATIONS FOR ELECTRICAL CIRCUITS; 1. An RLC Circuit; 2. Analysis of the Circuit Equations; 3. Van der Pol's Equation; 4. Hopf Bifurcation; 5. More General Circuit Equations; Notes; CHAPTER 11. THE POINCARÉ-BENDIXSON THEOREM; 1. Limit Sets; 2. Local Sections and Flow Boxes; 3. Monotone Sequences in Planar Dynamical Systems4. The Poincaré-Bendixson Theorem5. Applications of the Poincaré-Bendixson Theorem; Notes; CHAPTER 12. ECOLOGY; 1. One Species; 2. Predator and Prey; 3. Competing Species; Notes; CHAPTER 13. PERIODIC ATTRACTORS; 1. Asymptotic Stability of Closed Orbits; 2. Discrete Dynamical Systems; 3. Stability and Closed Orbits; CHAPTER 14. CLASSICAL MECHANICS; 1. The n-Body Problem; 2. Hamiltonian Mechanics; Notes; CHAPTER 15. NONAUTONOMOUS EQUATIONS AND DIFFERENTIABILITY OF FLOWS; 1. Existence, Uniqueness, and Continuity for Nonautonomous Differential Equations2. Differentiability of the Flow of Autonomous EquationsThis book is about dynamical aspects of ordinary differential equations and the relations between dynamical systems and certain fields outside pure mathematics. A prominent role is played by the structure theory of linear operators on finite-dimensional vector spaces; the authors have included a self-contained treatment of that subject.Pure and applied mathematics (Academic Press) ;60.Differential equationsAlgebras, LinearDifferential equations.Algebras, Linear.510.8 s515.35510/.8 s 515/.35512.5515.35515/.35Hirsch Morris W.1933-13761Smale Stephen1930-31836Hirsch Morris W.1933-13761MiAaPQMiAaPQMiAaPQBOOK9911108840803321Differential equations, dynamical systems and linear algebra348983UNINA05101nam 2200673 a 450 991110269190332120251117093039.00-87586-345-01-4175-6159-9(CKB)2670000000319259(EBL)318706(OCoLC)476114185(SSID)ssj0000161305(PQKBManifestationID)11151948(PQKBTitleCode)TC0000161305(PQKBWorkID)10198750(PQKB)10256564(MiAaPQ)EBC318706(Au-PeEL)EBL318706(CaPaEBR)ebr10476709(OCoLC)437191876(EXLCZ)99267000000031925920040727d2004 uy 0engurcn|||||||||txtccrThe gene illusion genetic research in psychiatry and psychology under the microscope /Jay Joseph1st ed.New York Algora Pub.20041 online resource (417 p.)Description based upon print version of record.0-87586-343-4 0-87586-344-2 Includes bibliographical references and indexes.""Acknowledgments""; ""List of Abbreviations""; ""The Gene Illusion""; ""The Gene Illusion""; ""Genetic Research""; ""in Psychiatry and Psychology Under the Microscope""; ""Jay Joseph, Psy.D.""; ""Table of Contents""; ""Chapter 1. Introduction""; ""Outline of the Chapters""; ""Family Studies""; ""Terms Used in the Book""; ""Chapter 2. Twin Research: Misunderstanding Twins, From Galton to the 21st Century""; ""Twin Research from 1870 to 1924""; ""Galton""; ""Thorndike""; ""Origins of the Twin Method""; ""Developments in Twin Research, 1924-1945""; ""Early Criticism of the Twin Method""""Developments in North America"" ""Twins Reared Apart""; ""The Co-twin Control Method""; ""Twin Research in Germany""; ""Twin Research From 1945-1960""; ""Kallmann""; ""Selected Topics in Twin Research""; ""Twin Research From 1960 to 1980""; ""Don Jackson's Critique of Schizophrenia Twin Research""; ""Nadir""; ""Twin Research Makes a Comeback""; ""Twin Research in the 1970's""; ""Twin Research from 1980 to the Present""; ""Conclusions""; ""Chapter 3. The Twin Method: An Environmentally Confounded Research Technique""; ""The Equal Environment Assumption (EEA)""; ""Two Definitions""""Do Identical and Fraternal Twins Create Differing Environments?"" ""Kendler's Theoretical Retreat""; ""A Critique of the Trait-Relevant Equal Environment Assumption""; ""Family Studies and the Trait-Relevant EEA""; ""What Leading Twin Researchers Say About the EEA""; ""Attempts to Test the Validity of the Equal Environment Assumption""; ""Loehlin and Nichols, 1976""; ""Scarr and Carter-Saltzman""; ""Conclusions""; ""Chapter 4: Genetic Studies of Twins Reared Apart: A Critical Review""; ""Part I: Identical Twins Reared Apart as Folklore""; ""Influence of the Cohort""""Part II: Scientific Studies of Twins Reared Apart"" ""The Myth of the Separated Identical Twins""; ""The Minnesota Study of Twins Reared Apart""; ""Secret Data, Secret Lives""; ""Environmental Factors Contributing to MZA Resemblance""; ""What About the DZA Correlations?""; ""MZTs (or DZAs) as the Control Group: The Invalidating Flaw of All Twins Reared Apart Studies""; ""What a Valid MZA Study Might Look Like""; ""Conclusions""; ""Chapter 5. The Heritability Concept: A Measure of Inheritance or Inherently Misleading?""; ""What Heritability Is and What It Is Not""""Origins of the Heritability Concept"" ""What is the Purpose of a Heritability Coefficient?""; ""An Exchange on the Meaning of Heritability""; ""A Heritability Estimate: The Product of Environmentally Confounded Research""; ""Heritability and Psychiatric Disorders""; ""Conclusions""; ""Chapter 6. The Genetics of Schizophrenia I: Overview""; ""History and Prevalence of Schizophrenia""; ""The Genetic Theory of Schizophrenia""; ""Schizophrenia Twin Research""; ""Three Low Concordance Rate Studies""; ""Schizophrenia Twin Researchers' Interpretations of Concordance Rate Differences""""Same Sex- and Opposite-Sex Fraternal Twin Concordance Rates""Genetic factors are increasingly presented as an important influence on psychiatric disorders, personality, intelligence, and various types of socially unacceptable behavior - as if that were an unassailable fact, proven by research. Jay Joseph's timely,Mental illnessGenetic aspectsGenetic psychologyTwinsPsychologyResearchMethodologyMental illnessGenetic aspects.Genetic psychology.TwinsPsychologyResearchMethodology.616.89/042616.89042Joseph Jay1934519MiAaPQMiAaPQMiAaPQBOOK9911102691903321The gene illusion4766929UNINA02245oam 2200493 a 450 991114604880332120240417234206.00-87020-471-8(CKB)2670000000386465(EBL)3417326(SSID)ssj0000916154(PQKBManifestationID)11485633(PQKBTitleCode)TC0000916154(PQKBWorkID)10874936(PQKB)10913791(MiAaPQ)EBC3417326(Au-PeEL)EBL3417326(CaPaEBR)ebr10723097(OCoLC)809669864(EXLCZ)99267000000038646520090211d2009 uy 0engur|n|---|||||txtrdacontentcrdamediacrrdacarrierOut of the northwoods the many lives of Paul Bunyan /Michael Edmonds1st ed.Madison, Wis. :Wisconsin Historical Society Press,2009.1 online resource (xv, 282 pages) illustrations, maps0-87020-437-8 Includes bibliographical references (p. 227-246) and index.Who was Paul Bunyan? -- Bunyan's origins in fact and fiction -- Lumberjacks and their culture -- How the tales were told -- The earliest surviving versions -- The curious claims of Gene Shepard -- Out of the woods and onto the page -- Stewart and watt, the first careful collectors -- Charles brown gets caught in the middle -- Bunyan becomes a celebrity -- Competing claims to fame.Out of the Northwoods presents the culture of nineteenth-century lumberjacks in their own words. It includes eyewitness accounts of how the first Bunyan stories were shared on frigid winter nights, around logging camp stoves, in the Wisconsin pinery. It describes where the tales began, how they moved out of the forest and into print, and why publication changed them forever. An appendix includes more than 100 original Bunyan tales.398.20973/02EEdmonds M. E912628MiAaPQMiAaPQMiAaPQBOOK9911146048803321Out of the northwoods4865346UNINA