Mathematics Books

Book SynopsisOne of the great achievements of contemporary mathematics is the new understanding of four dimensions. Michael Freedman and Frank Quinn have been the principals in the geometric and topological development of this subject, proving the Poincar and Annulus conjectures respectively. Recognition for this work includes the award of the Fields Medal of tTable of Contents*FrontMatter, pg. i*Contents, pg. v*Introduction, pg. 3*CHAPTER 1. BASIC TOOLS, pg. 11*CHAPTER 2. CAPPED GROPES, pg. 30*CHAPTER 3. CAPPED TOWERS, pg. 48*CHAPTER 4. PARAMETERIZATION OF CONVERGENT TOWERS, pg. 62*CHAPTER 5. THE EMBEDDING THEOREMS, pg. 85*CHAPTER 6. EMBEDDING UP TO S-COBORDISM, pg. 92*INTRODUCTION, pg. 99*CHAPTER 7. h-COBORDISMS, pg. 101*CHAPTER 8. SMOOTH STRUCTURES, pg. 114*CHAPTER 9. HANDLEBODIES, NORMAL BUNDLES, AND TRANSVERSALITY, pg. 134*CHAPTER 10. CLASSIFICATIONS AND EMBEDDINGS, pg. 161*CHAPTER 11. SURGERY, pg. 195*CHAPTER 12. LINKS, AND REFORMULATIONS OF THE EMBEDDING PROBLEM, pg. 232*REFERENCES, pg. 249*Index of Notation, pg. 257*Index of Terminology, pg. 257

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Book SynopsisIn the words of B. B. Mandelbrot's contribution to this important collection of original papers, fractal geometry is a new geometric language, which is geared towards the study of diverse aspects of diverse objects, either mathematical or natural, that are not smooth, but rough and fragmented to the same degree at all scales. This book will be ofTable of Contents*FrontMatter, pg. i*Contents, pg. 1*Fractal geometry: what is it, and what does it do ?, pg. 3*Fractals, phase transitions and criticality, pg. 17*Fractals and phase separation, pg. 35*Experiments on the structure and vibrations of fractal solids, pg. 55*Universality of fractal aggregates as probed by light scattering, pg. 71*Light-scattering studies of aggregation, pg. 89*Time-series analysis, pg. 103*Diffusion-controlled growth, pg. 123*Diffusion-limited aggregation, pg. 133*Electrodeposition in support: concentration gradients, an ohmic model and the genesis of branching fractals, pg. 149*Flow through porous media: limits of fractal patterns, pg. 159*Fractal BET and FHH theories of adsorption: a comparative study, pg. 169*Reactions in and on fractal media, pg. 189

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Book SynopsisIn Hypo-Analytic Structures Franois Treves provides a systematic approach to the study of the differential structures on manifolds defined by systems of complex vector fields. Serving as his main examples are the elliptic complexes, among which the De Rham and Dolbeault are the best known, and the tangential Cauchy-Riemann operators. Basic geometriTable of ContentsPrefaceIFormally and Locally Integrable Structures. Basic Definitions3I.1Involutive systems of linear PDE defined by complex vector fields. Formally and locally integrable structures5I.2The characteristic set. Partial classification of formally integrable structures11I.3Strongly noncharacteristic, totally real, and maximally real submanifolds16I.4Noncharacteristic and totally characteristic submanifolds23I.5Local representations27I.6The associated differential complex32I.7Local representations in locally integrable structures39I.8The Levi form in a formally integrable structure46I.9The Levi form in a locally integrable structure49I.10Characteristics in real and in analytic structures56I.11Orbits and leaves. Involutive structures of finite type63I.12A model case: Tube structures68IILocal Approximation and Representation in Locally Integrable Structures73II.1The coarse local embedding76II.2The approximation formula81II.3Consequences and generalizations86II.4Analytic vectors94II.5Local structure of distribution solutions and of L-closed currents100II.6The approximate Poincare lemma104II.7Approximation and local structure of solutions based on the fine local embedding108II.8Unique continuation of solutions115IIIHypo-Analytic Structures. Hypocomplex Manifolds120III.1Hypo-analytic structures121III.2Properties of hypo-analytic functions128III.3Submanifolds compatible with the hypo-analytic structure130III.4Unique continuation of solutions in a hypo-analytic manifold137III.5Hypocomplex manifolds. Basic properties145III.6Two-dimensional hypocomplex manifolds152Appendix to Section III.6: Some lemmas about first-order differential operators159III.7A class of hypocomplex CR manifolds162IVIntegrable Formal Structures. Normal Forms167IV.1Integrable formal structures168IV.2Hormander numbers, multiplicities, weights. Normal forms174IV.3Lemmas about weights and vector fields178IV.4Existence of basic vector fields of weight - 1185IV.5Existence of normal forms. Pluriharmonic free normal forms. Rigid structures191IV.6Leading parts198VInvolutive Structures with Boundary201V.1Involutive structures with boundary202V.2The associated differential complex. The boundary complex209V.3Locally integrable structures with boundary. The Mayer-Vietoris sequence219V.4Approximation of classical solutions in locally integrable structures with boundary226V.5Distribution solutions in a manifold with totally characteristic boundary228V.6Distribution solutions in a manifold with noncharacteristic boundary235V.7Example: Domains in complex space246VILocal Integrability and Local Solvability in Elliptic Structures252VI.1The Bochner-Martinelli formulas253VI.2Homotopy formulas for [actual symbol not reproducible] in convex and bounded domains258VI.3Estimating the sup norms of the homotopy operators264VI.4Holder estimates for the homotopy operators in concentric balls269VI.5The Newlander-Nirenberg theorem281VI.6End of the proof of the Newlander-Nirenberg theorem287VI.7Local integrability and local solvability of elliptic structures. Levi flat structures291VI.8Partial local group structures297VI.9Involutive structures with transverse group action. Rigid structures. Tube structures303VIIExamples of Nonintegrability and of Nonsolvability312VII.1Mizohata structures314VII.2Nonsolvability and nonintegrability when the signature of the Levi form is |n - 2|319VII.3Mizohata structures on two-dimensional manifolds324VII.4Nonintegrability and nonsolvability when the cotangent structure bundle has rank one330VII.5Nonintegrability and nonsolvability in Lewy structures. The three-dimensional case337VII.6Nonintegrability in Lewy structures. The higher-dimensional case343VII.7Example of a CR structure that is not locally integrable but is locally integrable on one side348VIIINecessary Conditions for the Vanishing of the Cohomology. Local Solvability of a Single Vector Field352VIII.1Preliminary necessary conditions for exactness354VIII.2Exactness of top-degree forms358VIII.3A necessary condition for local exactness based on the Levi form364VIII.4A result about structures whose characteristic set has rank at most equal to one367VIII.5Proof of Theorem VIII.4.1373VIII.6Applications of Theorem VII

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Book SynopsisMatrices offer some of the most powerful techniques in modem mathematics. In the social sciences they provide fresh insights into an astonishing variety of topics. Dominance matrices can show how power struggles in offices or committees develop; Markov chains predict how fast news or gossip will spread in a village; permutation matrices illuminateTable of Contents*FrontMatter, pg. 1*Contents, pg. 5*Preface, pg. 7*1. Matrices and How to Manipulate Them, pg. 13*2. Matrix Inversion, pg. 30*3. The Ins and Outs of Economic Planning, pg. 42*4. Matrices and Matrimony in Tribal Societies, pg. 61*5. Dominance in Coops and Courts, pg. 79*6. The Simple Mathematics of Markov Chains, pg. 92*7. Models of Mobility, pg. 106*8. The Mathematics of Absorbing Markov Chains, pg. 122*9 'Everywhere Man Is in Chains', pg. 130*10. The Seven Ages of Man and Population Problems, pg. 149*11. Playing Games in Theory, pg. 173*12. Magic, Fishing and Farming - Some Applications of Constant-sum Games Theory, pg. 194*13. Conflict or Co-operation, pg. 207*Epilogue and Further Reading, pg. 231

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Book SynopsisThese selected mathematical writings cover the years when the foundations were laid for the theory of numbers, analytic geometry, and the calculus. Originally published in 1986. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of PrincetonTable of Contents*FrontMatter, pg. i*ERRATA ET ADDENDA, pg. vii*PREFACE, pg. ix*CONTENTS, pg. xi*ABBREVIATIONS OF TITLES, pg. xiv*CHAPTER I ARITHMETIC, pg. 1*CHAPTER II. ALGEBRA, pg. 55*CHAPTER III. GEOMETRY, pg. 133*CHAPTER IV. ANALYSIS BEFORE NEWTON AND LEIBNIZ, pg. 188*CHAPTER V. NEWTON, LEIBNIZ, AND THEIR SCHOOL, pg. 270*INDEX, pg. 421

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Book SynopsisMathematical Notes, 29 Originally published in 1983. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperTable of Contents*FrontMatter, pg. i*Table of Contents, pg. 1*Introduction, pg. 3*Chapter 0. Preliminaries, pg. 8*Chapter 1. The Main Theorem, pg. 11*Chapter 2. Geometric Spectral Analysis, pg. 32*Chapter 3. SeU-Adjointness, pg. 41*Chapter 4. L2 Exponenttal Decay Applications to eigenfunctions of N-body Schrodmger Operators, pg. 52*Chapter 5. Pointwise Exponential Bounds, pg. 83*Appendix 1. Approximallon of Metrics and Completeness, pg. 99*Appendix 2. Proof of Lemma 1.2, pg. 102*Appenduc 3. Proof of Lemma 2.2, pg. 104*Appendix 4. Proof of Lemma 5.7, pg. 110*Bibliographical Comments, pg. 112*References, pg. 115

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Book SynopsisThis book is a comprehensive treatment of the general (algebraic) theory of symmetric domains. Originally published in 1981. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the originTable of Contents*FrontMatter, pg. i*Preface, pg. vii*Contents, pg. ix*Instructions to the Reader, pg. xi*List of Symbols, pg. xv*Chapter I. Algebraic Preliminaries, pg. 1*Chapter II. Basic Concepts on Symmetric Domains, pg. 44*Chapter III. Unbounded Realizations of Symmetric Domains. (Theory of Wolf -Koranyi), pg. 89*Chapter IV. Equivariant Holomorphic Maps of a Symmetric Domain into a Siegel Space, pg. 165*Chapter V. Infinitesimal Automorphisms of Symmetric Siegel Domains, pg. 209*Appendix: Classical Domains, pg. 267*References, pg. 291*Index, pg. 319

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Book SynopsisThis book introduces combinatorial analysis to the beginning student. The author begins with the theory of permutation and combinations and their applications to generating functions. In subsequent chapters, he presents Bell polynomials; the principle of inclusion and exclusion; the enumeration of permutations in cyclic representation; the theory oTable of Contents*FrontMatter, pg. i*Preface, pg. vii*Contents, pg. xi*Errata, pg. xii*CHAPTER 1. Permutations and Combinations, pg. 1*CHAPTER 2. Generating Functions, pg. 19*CHAPTER 3. The Principle of Inclusion and Exclusion, pg. 50*CHAPTER 4. The Cycles of Permutations, pg. 66*CHAPTER 5. Distributions: Occupancy, pg. 90*CHAPTER 6. Partitions, Compositions, Trees, and Networks, pg. 107*CHAPTER 7. Permutations with Restricted Position I, pg. 163*CHAPTER 8. Permutations with Restricted Position II, pg. 195*Index, pg. 239

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Book SynopsisThe ?? Neumann problem is probably the most important and natural example of a non-elliptic boundary value problem, arising as it does from the Cauchy-Riemann equations. It has been known for some time how to prove solvability and regularity by the use of L2 methods. In this monograph the authors apply recent methods involving the Heisenberg groupTable of Contents*Frontmatter, pg. i*Preface, pg. iii*Table of Contents, pg. v*Introduction, pg. 1*Part I. Analysis on the Heisenberg group, pg. 10*Part II. Parametrix for the -Neumann problem, pg. 44*Part III. The Estimates, pg. 130*Principal notations, pg. 190*References, pg. 192

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Book SynopsisKunihiko Kodaira's influence in mathematics has been fundamental and international, and his efforts have helped lay the foundations of modern complex analysis. These three volumes contain Kodaira's written contributions, published in a large number of journals and books between 1937 and 1971. The volumes cover chronologically the major periods of KTable of Contents*Frontmatter, pg. i*Contents, pg. v*On Compact Analytic Surfaces, pg. 1142*On Compact Complex Analytic Surfaces, pg. 1157*A Theorem Of Completeness For Analytic Systems Of Surfaces, With Ordinary Singularities, pg. 1199*A Theorem Of Completeness Of Characteristic Systems For Analytic Families Of Compact Submanifolds Of Complex Manifolds, pg. 1236*On Stability Of Compact Submanifolds Of Complex Manifolds, pg. 1253*On Compact Analytic Surfaces, II-III, pg. 1269*On The Structure Of Compact Complex Analytic Surfaces, pg. 1373*On The Structure Of Compact Complex Analytic Surfaces, pg. 1382*On The Structure Of Compact Complex Analytic Surfaces, I, pg. 1389*On Characteristic Systems Of Families Of Surfaces With Ordinary Singularities In A Projective Space, pg. 1437*Complex structures on S1x S3, pg. 1467*On The Structure Of Compact Complex Analytic Surfaces, II, pg. 1471*A Certain Type Of Irregular Algebraic Surfaces, pg. 1511*Pluricanonical Systems On Algebraic Surfaces Of General Type, pg. 1520*On The Structure Of Compact Complex Analytic Surfaces, III, pg. 1525*Pluricanonical Systems On Algebraic Surfaces Of General Type, pg. 1554*On The Structure Of Complex Analytic Surfaces, IV., pg. 1577*On Homotopy K3 Surfaces, pg. 1596*Holomorphic Mappings Of Polydiscs Into Compact Complex Manifolds, pg. 1608

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Book SynopsisThe present volume reflects both the diversity of Bochner's pursuits in pure mathematics and the influence his example and thought have had upon contemporary researchers. Originally published in 1971. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguisheTable of Contents*Frontmatter, pg. i*Foreword, pg. vii*Contents, pg. ix*On the Group of Automorphisms of a Symplectic Manifold, pg. 1*On the Minimal Immersions of the Two-sphere in a Space of Constant Curvature, pg. 27*Intersections of Cantor Sets and Transversality of Semigroups, pg. 41*Kahlersche Mannigfaltigkeiten mit hyper-q-konvexem Rand, pg. 61*Iteration of Analytic Functions of Several Variables, pg. 81*A Class of Positive-Difinite Functions, pg. 93*Local Noncommutative Analysis, pg. 111*Linearization of the Product omicronf Orthogonal Polynomials, pg. 131*Eisenstein Series on Tube Domains, pg. 139*Laplace-Fourier Transformation, the Foundation for Quantum Information Theory and Linear Physics, pg. 157*An Integral Equation Related to the Schroedinger Equation with an Application to Integration in Function Space, pg. 175*A Lower Bound for the Smallest Eigenvalue of the Laplacian, pg. 195*The Integral Equation Method in Scattering Theory, pg. 201*Group Algebra Bundles, pg. 229*Quadratic Periods of Hjperelliptic Abelian Integrals, pg. 239*The Existence of Complementary Series, pg. 249*Some Recent Developments in the Theory of Singular Perturbations, pg. 261*Sequential Convergence in Lattice Groups, pg. 273*A Group-theoretic Lattice-point Problem, pg. 291*The Riemann Surface of Klein with 168 Automorphisms, pg. 297*Envelopes of Holomorphy of Domains in Complex Lie Groups, pg. 309*Automorphisms of Commutative Banach Algebras, pg. 319*Historical Notes on Analyticity as a Concept in Functional Analysis, pg. 325*A -Almost Automorphic Functions, pg. 345

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Book SynopsisThese notes are based on a course of lectures given by Professor Nelson at Princeton during the spring term of 1966. The subject of Brownian motion has long been of interest in mathematical probability. In these lectures, Professor Nelson traces the history of earlier work in Brownian motion, both the mathematical theory, and the natural phenomenonTable of Contents*Preface, pg. i*CONTENTS, pg. iii* 1. Multilinear algebra, pg. 1* 2. Derivations on scalars, pg. 25* 3. Derivations on tensors, pg. 37* 4. The exterior derivative, pg. 47* 5. Covariant differentiation, pg. 57* 6. Holonomy, pg. 79* 7. Riemannian metrics, pg. 89* 8. Symplectic structures, pg. 111* 9. Complex structures, pg. 117

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Book SynopsisBook 7 in the Princeton Mathematical Series.Originally published in 1961.The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.Table of Contents*Frontmatter, pg. i*Preface, pg. v*Contents, pg. vii*Chapter I. Some Theorems on Real-valued Functions, pg. 1*Chapter II. The Lebesgue Integral, pg. 52*Chapter III. Measurable Sets and Measurable Functions, pg. 101*Chapter IV. The Integral as a Function of Sets; Convergence Theorems, pg. 136*Chapter V. Differentiation, pg. 188*Chapter VI. Continuity Properties of Measurable Functions, pg. 218*Chapter VII. The Lebesgue-Stieltjes Integral, pg. 242*Chapter VIII. The Perron Integral, pg. 312*Chapter IX. Differential Equations, pg. 336*Chapter X. Differentiation of Multiple Integrals, pg. 366*Appendix, pg. 383*Index, pg. 387

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Book SynopsisThe aim of this work is to present a unified approach to the modern field of control theory and to provide a technique for making problems involving deterministic, stochastic, and adaptive processes of both linear and nonlinear type amenable to machine solution. Mr. Bellman has used the theory of dynamic programming to formulate, analyze, and prepaTable of Contents*Frontmatter, pg. i*PREFACE, pg. vii*CONTENTS, pg. ix*INTRODUCTION, pg. 1*CHAPTER I. FEEDBACK CONTROL AND THE CALCULUS OF VARIATIONS, pg. 13*CHAPTER II. DYNAMICAL SYSTEMS AND TRANSFORMATIONS, pg. 41*CHAPTER III. MULTISTAGE DECISION PROCESSES AND DYNAMIC PROGRAMMING, pg. 51*CHAPTER IV. DYNAMIC PROGRAMMING AND THE CALCULUS OF VARIATIONS, pg. 61*CHAPTER V. COMPUTATIONAL ASPECTS OF DYNAMIC PROGRAMMING, pg. 85*CHAPTER VI. THE LAGRANGE MULTIPLIER, pg. 100*CHAPTER VII. TWO-POINT BOUNDARY VALUE PROBLEMS, pg. 111*CHAPTER VIII. SEQUENTIAL MACHINES AND THE SYNTHESIS OF LOGICAL SYSTEMS, pg. 119*CHAPTER IX. UNCERTAINTY AND RANDOM PROCESSES, pg. 129*CHAPTER X. STOCHASTIC CONTROL PROCESSES, pg. 152*CHAPTER XI. MARKOVIAN DECISION PROCESSES, pg. 160*CHAPTER XII. QUASILINEARIZATION, pg. 167*CHAPTER XIII. STOCHASTIC LEARNING MODELS, pg. 176*CHAPTER XIV. THE THEORY OF GAMES AND PURSUIT PROCESSES, pg. 180*CHAPTER XV. ADAPTIVE PROCESSES, pg. 194*CHAPTER XVI. ADAPTIVE CONTROL PROCESSES, pg. 203*CHAPTER XVII. SOME ASPECTS OF COMMUNICATION THEORY, pg. 219*CHAPTER XVIII. SUCCESSIVE APPROXIMATIONS, pg. 232*INDEX, pg. 251*Backmatter, pg. 257

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Book SynopsisBook 22 in the Princeton Mathematical Series. Originally published in 1960. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presentinTable of Contents*Frontmatter, pg. i*Preface to the English Language Edition, pg. v*Table of Contents, pg. vii*CHAPTER I. Existence and Continuity Theorems, pg. 3*CHAPTER II. Integral Curves of a System of Two Differential Equations, pg. 39*CHAPTER III. Systems of n Differential Equations (The Asymptotic Behavior of Solutions), pg. 150*CHAPTER IV. A Study of Neighborhoods of Singluar Points and of Periodic Solutions of Systems of n Differential Equations, pg. 207*Bibliography to Part One, pg. 270*APPENDIX TO PART ONE. Problems of the Qualitative Theory of Differential Equations, pg. 273*Index to Part One, pg. 301*CHAPTER V. General Theory of Dynamical Systems, pg. 307*CHAPTER VI. Systems with an Integral Invariant, pg. 425*Bibliography to Part Two, pg. 520*Index to Part Two, pg. 523

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Book SynopsisA survey of recent developments both in the classical and modern fields of the theory. Contents include: The complex analytic structure of the space of closed Riemann surfaces; Complex analysis on noncompact Riemann domains; Proof of the Teichmuller-Ahlfors theorem; The conformal mapping of Riemann surfaces; On certain coefficients of univalent funTable of Contents*Frontmatter, pg. i*Preface, pg. v*Contents, pg. vii*On Differentiable Mappings, pg. 1*Analysis in Non-Compact Complex Spaces, pg. 11*The Complex Analytic Structure of the Space of Closed Riemann Surfaces, pg. 45*Some Remarks on Perturbation of Structure, pg. 67*Quasiconformal Mappings and Teichmuller's Theorem, pg. 89*On Compact Analytic Surfaces, pg. 121*The Conformal Mapping of Riemann Surfaces, pg. 137*On Certain Coefficients of Univalent Functions, pg. 159*Appendix, pg. 195

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Book SynopsisWhat is so special about the number 30? How many colors are needed to color a map? Do the prime numbers go on forever? Are there more whole numbers than even numbers? These and other mathematical puzzles are explored in this delightful book by two eminent mathematicians. Requiring no more background than plane geometry and elementary algebra, thisTrade Review"A thoroughly enjoyable sampler of fascinating mathematical problems and their solutions."--Science "Each chapter is a gem of mathematical exposition... [The book] will not only stretch the imagination of the amateur, but it will also give pleasure to the sophisticated mathematician."--American Mathematical MonthlyTable of Contents*Frontmatter, pg. i*Preface, pg. v*Contents, pg. vii*Introduction, pg. 1*1. The Sequence of Prime Numbers, pg. 9*2. Traversing Nets of Curves, pg. 13*3. Some Maximum Problems, pg. 17*4. Incommensurable Segments and Irrational Numbers, pg. 22*5. A Minimum Property of the Pedal Triangle, pg. 27*6. A Second Proof of the Same Minimum Property, pg. 30*7. The Theory of Sets, pg. 34*8. Some Combinatorial Problems, pg. 43*9. On Waring's Problem, pg. 52*10. On Closed Self-Intersecting Curves, pg. 61*11. Is the Factorization of a Number into Prime Factors Unique?, pg. 66*12. The Four-Color Problem, pg. 73*13. The Regular Polyhedrons, pg. 82*14. Pythagorean Numbers and Fermat's Theorem, pg. 88*15. The Theorem of the Arithmetic and Geometric Means, pg. 95*16. The Spanning Circle of a Finite Set of Points, pg. 103*17. Approximating Irrational Numbers by Means of Rational Numbers, pg. 111*18. Producing Rectilinear Motion by Means of Linkages, pg. 119*19. Perfect Numbers, pg. 129*20. Euler's Proof of the Infinitude of the Prime Numbers, pg. 135*21. Fundamental Principles of Maximum Problems, pg. 139*22. The Figure of Greatest Area with a Given Perimeter, pg. 142*23. Periodic Decimal Fractions, pg. 147*24. A Characteristic Property of the Circle, pg. 160*25. Curves of Constant Breadth, pg. 163*26. The Indispensability of the Compass for the Constructions of Elementary Geometry, pg. 177*27. A Property of the Number 30, pg. 187*28. An Improved Inequality, pg. 192*Notes and Remarks, pg. 197

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Book SynopsisTable of Contents*Frontmatter, pg. i*Preface, pg. vii*Contents, pg. xv*I. Axioms and general theorems, pg. 1*II. Simplicial complexes, pg. 54*III. Homology theory of simplicial complexes, pg. 76*IV. Categories and functors, pg. 108*V. Chain complexes, pg. 124*VI. Formal homology theory of simplicial complexes, pg. 162*VII. The singular homology theory, pg. 185*VIII. Systems of groups and their limits, pg. 212*IX. The Cech homology theory, pg. 233*X. Special features of the Cech theory, pg. 257*XI. Applications to Euclidean Spaces, pg. 298*Index, pg. 323

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Book SynopsisTable of Contents*Frontmatter, pg. i*PREFACE, pg. v*CONTENTS, pg. vii*Chapter I. SIMULTANEOUS LINEAR EQUATIONS, pg. 1*Chapter II. SOLUTION OP EQUATIONS BY SUCCESSIVE APPROXIMATIONS, pg. 36*Chapter III. INTERPOLATION, pg. 63*Chapter IV. NUMERICAL DIFFERENTIATION AND INTEGRATION, pg. 93*Chapter V. NUMERICAL SOLUTION OF DIFFERENTIAL EQUATIONS, pg. 131*Chapter VI. FINITE DIFFERENCES, pg. 145*Chapter VII. DIVIDED DIFFERENCES, pg. 201*Chapter VIII. RECIPROCAL DIFFERENCES, pg. 219*Chapter IX. POLYNOMIAL APPROXIMATION BY LEAST SQUARES, pg. 242*Chapter X. OTHER APPROXIMATIONS BY LEAST SQUARES, pg. 291*CHAPTER XI. SIMPLE DIFFERENCE EQUATIONS, pg. 324*APPENDIX A. NOTATION AND SYMBOLS, pg. 351*APPENDIX B. TEXTS, TABLES, AND BIBLIOGRAPHIES, pg. 353*APPENDIX C. CLASSIFIED GUIDE TO FORMULAS AND METHODS, pg. 359*TABLES, pg. 363*INDEX, pg. 385

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Book SynopsisTable of Contents*Frontmatter, pg. i*Preface, pg. v*Contents, pg. vii*Chapter I. Introduction, pg. 1*Chapter II. Dimension 0, pg. 10*Chapter III. Dimension n, pg. 24*Chapter IV. Dimension of Euclidean Spaces, pg. 37*Chapter V. Covering and Imbedding Theorems, pg. 52*Chapter VI. Mappings in Spheres and Applications, pg. 74*Chapter VII. Dimension and Measure, pg. 102*Chapter VIII. Homology and Dimension, pg. 108*Appendix. Non Separable Metric Spaces, pg. 153*Index, pg. 157*List of Special Symbols, pg. 163

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Book SynopsisTable of Contents*Frontmatter, pg. i*Contents, pg. v*On Compact Analytic Surfaces, pg. 1142*On Compact Complex Analytic Surfaces, pg. 1157*A Theorem Of Completeness For Analytic Systems Of Surfaces, With Ordinary Singularities, pg. 1199*A Theorem Of Completeness Of Characteristic Systems For Analytic Families Of Compact Submanifolds Of Complex Manifolds, pg. 1236*On Stability Of Compact Submanifolds Of Complex Manifolds, pg. 1253*On Compact Analytic Surfaces, II-III, pg. 1269*On The Structure Of Compact Complex Analytic Surfaces, pg. 1373*On The Structure Of Compact Complex Analytic Surfaces, pg. 1382*On The Structure Of Compact Complex Analytic Surfaces, I, pg. 1389*On Characteristic Systems Of Families Of Surfaces With Ordinary Singularities In A Projective Space, pg. 1437*Complex structures on S1x S3, pg. 1467*On The Structure Of Compact Complex Analytic Surfaces, II, pg. 1471*A Certain Type Of Irregular Algebraic Surfaces, pg. 1511*Pluricanonical Systems On Algebraic Surfaces Of General Type, pg. 1520*On The Structure Of Compact Complex Analytic Surfaces, III, pg. 1525*Pluricanonical Systems On Algebraic Surfaces Of General Type, pg. 1554*On The Structure Of Complex Analytic Surfaces, IV., pg. 1577*On Homotopy K3 Surfaces, pg. 1596*Holomorphic Mappings Of Polydiscs Into Compact Complex Manifolds, pg. 1608

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Book SynopsisThis comprehensive new two-volume work provides the reader with a detailed insight into the use of the finite element method in geotechnical engineering. As specialist knowledge required to perform geotechnical finite element analysis is not normally part of a single engineering degree course, this lucid work will prove invaluable. It brings together essential information presented in a manner understandable to most engineers.Volume 1 presents the theory, assumptions and approximations involved in finite element analysis while Volume 2 concentrates on its practical applications to real geotechnical problems. The theory explored in the first volume is referred to in the case studies of the second volume to provide a holistic impression of finite element analysis as it is applied in geotechncial engineering. Using practical examples, the second volume illustrates the restrictions, pitfalls, advantages and disadvantages of numerical analysis. The authors examine popular constituTable of ContentsFinite element analysis in geotechnical engineering, Volume 1: Theory Geotechnical analysis Finite element theory for linear materials Geotechnical considerations Real soil behaviour Elastic constitutive models Elasto-plastic behaviour Simple elasto-plastic constitutive models Advanced constitutive models Finite element theory for non-linear materials Seepage and consolidation 3D finite element analysis Fourier series aided finite element method (FSAFEM) References Finite element analysis in geotechnical engineering, Volume 2: Application Obtaining geotechnical parameters Tunnels Earth retaining structures Cut slopes Embankments Shallow foundations Deep foundations Benchmarking Restrictions and pitfalls References

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Book SynopsisIt is a measure of the breadth of her interests that the contributions to this volume come from experts in a wide range of disciplines: comparative literature, art history, the history of mathematics and science, philosophy, the history of publishing and translation studies.Trade Review'All the papers offer new insights on their subject [...] The value of this collection is that it provides the first overview of Du Châtelet’s œuvre as a whole, which will be a point of reference for future scholarship.'Eighteenth-Century FictionTable of ContentsList of illustrationsIntroduction: a scholarly conversation, 1967-2006Judith P. Zinsser and Julie Candler Hayes, Rereading W. H. BarberW. H. Barber, Mme Du Châtelet and Leibnizianism: the genesis of the Institutions de physiqueJudith P. Zinsser and Julie Candler Hayes, The marquise as philosopheI. Contemporary portraitsJohn R. Iverson, A female member of the Republic of Letters: Du Châtelet’s portrait in Bilder-Sal [...] berümhter SchrifftstellerMarie-Thérèse Inguenaud, La Grosse et le Monstre: histoire d’une haineRémy G. Saisselin, Portraiture and the ambiguity of beingII. Contributions to the Republic of LettersJ. Patrick Lee, Le Recueil de poésies: manuscrit de Mme Du ChâteletAdrienne Mason, 'L’air du climat et le goût du terroir’: translation as cultural capital in the writings of Mme Du ChâteletBertram Eugene Schwarzbach, Mme Du Châtelet’s Examens de la Bible and Voltaire’s La Bible enfin expliquéeFrançois Gauvin, Le cabinet de physique du château de Cirey et la philosophie naturelle de Mme Du Châtelet et de VoltairePaul Veatch Moriarty, The principle of sufficient reason in Du Châtelet’s InstitutionsAntoinette Emch-Dériaz and Gérard G. Emch, On Newton’s French translator: how faithful was Mme Du Châtelet?III. Self-portraitureBarbara Whitehead, The singularity of Mme Du Châtelet: an analysis of the Discours sur le bonheurRenaud Redien-Collot, Emilie Du Châtelet et les femmes: entre l’attitude prométhéenne et la pleine assomption du statut de minoritaireNanette LeCoat, 'Le génie de la sécheresse’: Mme Du Châtelet in the eyes of her Second Empire criticsSummariesBibliographyIndex

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Book SynopsisWhen a doctor tells you there's a one percent chance that an operation will result in your death, or a scientist claims that his theory is probably true, what exactly does that mean? Understanding probability is clearly very important, if we are to make good theoretical and practical choices.Trade Review"This is a remarkable book in that, while using the absolute minimum of mathematics, it manages to explain all the main views in the philosophy of probability clearly and accurately. Indeed it covers some recent approaches on which active research is taking place at the moment." Donald Gillies, University College London "Easy and fun to read, this book is a thought-provoking introduction to a wide range of important theories and issues about the nature of probability." Timothy Williamson, University of OxfordTable of ContentsPreface Chapter 1: Probability: A Two Faced Guide to Life? Chapter 2: The Classical Interpretation Chapter 3: The Logical Interpretation Chapter 4: The Subjective Interpretation Chapter 5: The Objective Bayesian Interpretation Chapter 6: Group Level Interpretations Chapter 7: The Frequency Interpretation Chapter 8: The Propensity Interpretation Chapter 9: Fallacies, Puzzles, and a Paradox Chapter 10: Interpreting Probability in the Humanities, Natural Sciences and Social Sciences Appendix A. The Axioms and Laws of Probability B. Bayes�s Theorem References

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Book SynopsisWhen a doctor tells you there's a one percent chance that an operation will result in your death, or a scientist claims that his theory is probably true, what exactly does that mean? Understanding probability is clearly very important, if we are to make good theoretical and practical choices.Trade Review"This is a remarkable book in that, while using the absolute minimum of mathematics, it manages to explain all the main views in the philosophy of probability clearly and accurately. Indeed it covers some recent approaches on which active research is taking place at the moment." Donald Gillies, University College London "Easy and fun to read, this book is a thought-provoking introduction to a wide range of important theories and issues about the nature of probability." Timothy Williamson, University of OxfordTable of ContentsPreface Chapter 1: Probability: A Two Faced Guide to Life? Chapter 2: The Classical Interpretation Chapter 3: The Logical Interpretation Chapter 4: The Subjective Interpretation Chapter 5: The Objective Bayesian Interpretation Chapter 6: Group Level Interpretations Chapter 7: The Frequency Interpretation Chapter 8: The Propensity Interpretation Chapter 9: Fallacies, Puzzles, and a Paradox Chapter 10: Interpreting Probability in the Humanities, Natural Sciences and Social Sciences Appendix A. The Axioms and Laws of Probability B. Bayes�s Theorem References

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Book SynopsisCo-published with Oxford University Press. This highly technical and thought-provoking book stresses the development of mathematical foundations for the application of the electromagnetic model to problems of research and technology.Table of ContentsPreface. Linear Analysis. The Green's Function Method. The Spectral Representation Method. Electromagnetic Sources. Electromagnetic Boundary Value Problems. Index.

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Book SynopsisThis book fills an educational void by adapting unique classroom-tested techniques that students find most congenial...that strip the shroud of mystery from an esoteric subject...that prepare students for applications of calculus in later courses.Table of ContentsPreface. FUNCTIONS. Introduction. The Graph of a Function. The Trigonometric Functions. Inverse Functions and the Inverse Trigonometric Functions. Exponential and Logarithm Functions. Solving Inequalities Involving Elementary Functions. Graphs of Translations, Reflections, Expansions and Sums. Review of Problems for Chapter 1. LIMITS. Introduction. Finding Limits of Combinations of Functions. Indeterminate Limits. Review Problems for Chapter 2. THE DERIVATIVE PART I. Preview. Definition and Some Applications of the Derivative. Derivatives of the Basic Functions. Nondifferentiable Functions. Derivatives of Constant Multiples, Sums, Products and Quotients. The Derivative of a Composition. Implicit Differentiation and Logarithmic Differentiation. Antidifferentiation. Review Problems for Chapter 3. THE DERIVATIVE PART II. Relative Maxima and Minima. Absolute Maxima and Minima. L'Hôpital's Rule and Orders of Magnitude. Indeterminate Products, Differences and Exponential Forms. Drawing Graphs of Functions. Related Rates. Newton's Method. Differentials. Separable Differential Equations. Review Problems for Chapter 4. THE INTEGRAL PART I. Preview. Definition and Some Applications of the Integral. The Fundamental Theorem of Calculus. Numerical Integration. Nonintegrable Functions. Improper Integals. Review Problems for Chapter 5. THE INTEGRAL PART II. Further Applications of the Integral. The Centroid of a Solid Hemisphere. Area and Arc Length. The Surface Area of a Cone and a Sphere. Integrals with a Variable Upper Limit. Review Problems for Chapter 6. ANTIDIFFERENTIATION. Introduction. Substitution. Pre-Table Algebra I. Pre-Table Algebra II: Partial Faction Decomposition. Integration by Parts. Recursion Formulas. Trigonometric Substitution. Choosing a Method. Combining Techniques of Antidifferentiation with the Fundamental Theorem. Review Problems for Chapter 7. SERIES. Introduction. Geometric Series. Convergence Tests for Positive Series I. Convergence Tests for Positive Series II. Alternating Series. Power Series Functions. Power Series Representations for Elementary Functions I. Power Series Representations for Elementary Functions II (Maclaurin Series). The Taylor Reminder Formula and an Estimate for the Number e. Power Series in Powers of x - b (Taylor Series). Review Problems for Chapter 8. VECTORS. Introduction. Vector Addition, Subtraction, Scalar Multiplication and Norms. The Dot Product. The Cross Product. The Scalar Triple Product. The Velocity Vector. The Acceleration Vector. Review Problems for Chapter 9. TOPICS IN THREE-DIMENSIONAL ANALYTIC GEOMETRY. Spheres. Planes. Lines. Cylindrical and Quadric Surfaces. Cylindrical and Spherical Coordinates. Review Problems for Chapter 10. PARTIAL DERIVATIVES. Graphs and Level Sets. Partial Derivatives. Chain Rules for First-Order Partial Derivatives. Chain Rules for Second-Order Partial Derivatives. Maxima and Minima. The Gradient. Differentials and Exact Differential Equations. Review Problems for Chapter 11. MULTIPLE INTEGRALS. Definition and Some Applications of the Double Integral. Computing Double Integrals. Double Integration in Polar Coordinates. Area and Volume. Further Applications of the Double Integral. Triple Integrals. Triple Integration in Spherical Coordinates. Center of Mass. Review Problems for Chapter 12. APPENDIX. A1: Distance and Slope. A2: Equations of Lines. A3: Circles, Ellipses, Hyperbolas and Parabolas. A4: The Binomial Theorem. A5: Determinants. A6: Polar Coordinates. Solutions to the Problems. Abbreviations Used in the Solutions. List of Symbols. Index. Authors' Biographies.

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Book SynopsisA self-study guide for practicing engineers, scientists, and students, this book offers practical, worked-out examples on continuous and discrete probability for problem-solving courses. It is filled with handy diagrams, examples, and solutions that greatly aid in the comprehension of a variety of probability problems.Table of ContentsPreface. Introduction. DISCRETE PROBABILITY. Basic Probability. Independent Trials and 2-Stage Experiments. Expectation. CONTINUOUS PROBABILITY. Continuous Random Variables. Jointly Distributed Random Variables. Jointly Distributed Random Variables Continued. Expectation Again. Conditional Probability. Limit Theorems. Solutions. Index.

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Book SynopsisThe second part of a yearly series on simulation technology, OBJECT-ORIENTED SIMULATION presents an outstanding variety of the very latest advances in simulation techniques. This leading-edge volume contains a cohesive selection of presentations written by the world-renowned experts in a broad range of topics. OBJECT-ORIENTED SIMULATION is a key resource for anyone involved in computer simulator research and design as well as developers, producers, scholars, and managers. It is an excellent tool for preparing proposals for simulation in commercial and military fields.Table of ContentsPreface. Object-Oriented Simulation and Operas (G. Yeh, et al.). Object-Oriented Simulation Languages and Environments: AFour-Level Architecture (J. Miller, et al.). The Object Flow Model for Object-Oriented Simulation andDatabase Application Modeling (L. Pollacia and L. Delcambre). Reusable Simulation Models in an Object-Oriented Framework (T. Kim and M. Ahn). Object-Oriented Frameworks for Multilevel Simulation Modeling (D. Popken and A. Sinha). Design Strategies for Object-Oriented Simulation Testbeds that Support Software Integration (M. Hilton and C. Anken). Automation of Transformation Schemas for Object-OrientedSimulations (C. Coomber). Steps to an Ecology of Actor Simulation (A. Senteni). Key Words. About the Editors.

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Book SynopsisTable of ContentsPreface. Overview. The Discrete Fourier Transform. The Fast Fourier Transform. Weighting Functions. Frequency Analysis. Linear Filtering and Pattern Matching. Multidimentional Processing. Building-Block Algorithms. Algorithm Construction. Arithmetic Building Blocks for Architectures. Multiprocessor Architectures. Algorithm and Data Mappings. Arithmetic Formats. Chips. Board Decisions and Selection. Test. Design Examples. Glossary. Appendix: Table of Comparison Matrices. Index.

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Book SynopsisThis book explains, in lay terms, the surprisingly simple system of mathematical logic used in digital computer circuitry. Anecdotal in its style and often funny, it follows the development of this logic system from its origins in Victorian England to its rediscovery in this century as the foundation of all modern computing machinery. ONES AND ZEROS will be enjoyed by anyone who has a general interest in science and technology.Table of ContentsBefore We Begin. Number Systems and Counting. The Basic Functions of Boolean Algebra: And, Or, And Not. Combinational Logic. The Algebra of Sets and Venn Diagrams. Other Boolean Functions. Realizing Any Boolean Function with And, Or, And Not. More Digital Circuits. Laws of Boolean Algebra. Boolean Logic. Appendix A: Counting in Base 2. Appendix B: Powers of 2. Appendix C: Summary of Boolean Functions. Further Reading. Answers to Exercises. Index. About the Author.

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Book SynopsisThis text covers key mathematical principles and algorithms for nonlinear filters used in image processing. It offers insight into the underlying mathematical and filter design methodologies needed to construct and use nonlinear filters in a variety of applications.Table of ContentsPreface. Logical Image Operators (E. Dougherty & J. Barrera). Computational Gray-Scale Operators (E. Dougherty & J. Barrera). Translation-Invariant Set Operators (E. Dougherty). Granulometric Filters (E. Dougherty & Y. Chen) Easy Recipes for Morphological Filters (H. Heijmans). Introduction to Connected Operators (H. Heijmans). Representation and Optimization of Stack Filters (J. Astola & P. Kuosmanen). Invariant Signals of Median and Stack Filters (J. Astola & P. Kuosmanen). Binary Polynomial Transforms and Logical Correlation (K. Egiazarian, et al.). Applications of Binary Polynomial Transforms (K. Egiazarian, et al.). Random Sets in View of Image Filtering Applications (I. Molchanov). Index.

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Book SynopsisFOUNDATIONS FOR MICROWAVE ENGINEERING, Second Edition, covers the major topics of microwave engineering. Its presentation defines the accepted standard for both advanced undergraduate and graduate level courses on microwave engineering. An essential reference book for the practicing microwave engineer, it features: Planar transmission lines, as well as an appendix that describes in detail conformal mapping methods for their analysis and attenuation characteristics Small aperture coupling and its application in practical components such as directional couplers and cavity coupling Printed circuit components with an emphasis on techniques such as even and odd mode analysis and the use of symmetry properties Microwave linear amplifier and oscillator design using solid-state circuits such as varactor devices and transistors FOUNDATIONS FOR MICROWAVE ENGINEERING, Second Edition, has extensive coverage of transmission lines, waveguides, microTable of ContentsPreface xv 1 Introduction 1 1.1 Microwave Frequencies 1 1.2 Microwave Applications 3 1.3 Microwave Circuit Elements and Analysis 6 2 Electromagnetic Theory 17 2.1 Maxwell's Equations 17 2.2 Constitutive Relations 23 2.3 Static Fields 28 2.4 Wave Equation 31 2.5 Energy and Power 33 2.6 Boundary Conditions 39 2.7 Plane Waves 44 2.8 Reflection from a Dielectric Interface 49 2.9 Reflection from a Conducting Plane 53 2.10 Potential Theory 56 2.11 Derivation of Solution for Vector Potential 59 2.12 Lorentz Reciprocity Theorem 62 3 Transmission Lines and Waveguides 72 Part 1 Waves on Transmission Lines 72 3.1 Waves on An Ideal Transmission Line 72 3.2 Terminated Transmission Line: Resistive Load 78 3.3 Capacitive Termination 82 3.4 Steady-State Sinusoidal Waves 85 3.5 Waves on a Lossy Transmission Line 86 3.6 Terminated Transmission Line: Sinusoidal Waves 89 Part 2 Field Analysis of Transmission Lines 96 3.7 Classification of Wave Solutions 96 3.8 Transmission Lines (Field Analysis) 104 3.9 Transmission-Line Parameters 112 3.10 Inhomogeneously Filled Parallel-Plate Transmission Line 117 3.11 Planar Transmission Lines 125 3.12 Microstrip Transmission Line 130 3.13 Coupled Microstrip Lines 164 3.14 Strip Transmission Lines 170 3.15 Coupled Strip Lines 173 3.16 Coplanar Transmission Lines 175 Part 3 Rectangular and Circular Waveguides 180 3.17 Rectangular Waveguide 181 3.18 Circular Waveguides 194 3.19 Wave Velocities 198 3.20 Ridge Waveguide 205 3.21 Fin Line 208 4 Circuit Theory for Waveguiding Systems 220 4.1 Equivalent Voltages and Currents 221 4.2 Impedance Description of Waveguide Elements and Circuits 224 4.3 Foster's Reactance Theorem 230 4.4 Even and Odd Properties of Zin 232 4.5 iV-Port Circuits 233 4.6 Two-Port Junctions 238 4.7 Scattering-Matrix Formulation 248 4.8 Scattering Matrix for a Two-Port Junction 254 4.9 Transmission-Matrix Representation 257 4.10 Signal Flow Graphs 260 4.11 Generalized Scattering Matrix for Power Waves 268 4.12 Excitation of Waveguides 276 4.13 Waveguide Coupling by Apertures 284 5 Impedance Transformation and Matching 303 5.1 Smith Chart 304 5.2 Impedance Matching with Reactive Elements 308 5.3 Double-Stub Matching Network 312 5.4 Triple-Stub Tuner 317 5.5 Impedance Matching with Lumped Elements 319 5.6 Design of Complex Impedance Terminations 330 5.7 Invariant Property of Impedance Mismatch Factor 334 5.8 Waveguide Reactive Elements 339 5.9 Quarter-Wave Transformers 343 5.10 Theory of Small Reflections 347 5.11 Approximate Theory for Multisection Quarter-Wave Transformers 348 5.12 Binomial Transformer 350 5.13 Chebyshev Transformer 352 5.14 Chebyshev Transformer (Exact Results) 356 5.15 Filter Design Based on Quarter-Wave-Transformer Prototype Circuit 360 5.16 Tapered Transmission Lines 370 5.17 Synthesis of Transmission-Line Tapers 373 5.18 Chebyshev Taper 380 5.19 Exact Equation for the Reflection Coefficient 383 6 Passive Microwave Devices 394 6.1 Terminations 394 6.2 Attenuators 397 6.3 Phase Shifters 404 6.4 Directional Couplers 413 6.5 Hybrid Junctions 435 6.6 Power Dividers 442 6.7 Microwave Propagation in Ferrites 450 6.8 Faraday Rotation 460 6.9 Microwave Devices Employing Faraday Rotation 464 6.10 Circulators 468 6.11 Other Ferrite Devices 476 7 Electromagnetic Resonators 481 7.1 Resonant Circuits 481 7.2 Transmission-Line Resonant Circuits 485 7.3 Microstrip Resonators 490 7.4 Microwave Cavities 500 7.5 Dielectric Resonators 508 7.6 Equivalent Circuits for Cavities 517 7.7 Field Expansion in a General Cavity 525 7.8 Oscillations in a Source-Free Cavity 533 7.9 Excitation of Cavities 538 7.10 Cavity Perturbation Theory 541 8 Periodic Structures and Filters 550 8.1 Capacitively Loaded Transmission-Line-Circuit Analysis 551 8.2 Wave Analysis of Periodic Structures 557 8.3 Periodic Structures Composed of Unsymmetrical Two-Port Networks 559 8.4 Terminated Periodic Structures 560 8.5 Matching of Periodic Structures 563 8.6 k0-β Diagram 564 8.7 Group Velocity and Energy Flow 566 8.8 Floquet's Theorem and Spatial Harmonics 569 8.9 Periodic Structures for Traveling-Wave Tubes 571 8.10 Sheath Helix 580 8.11 Some General Properties of a Helix 583 8.12 Introduction to Microwave Filters 585 8.13 Image-Parameter Method of Filter Design 587 8.14 Filter Design by Insertion-Loss Method 591 8.15 Specification of Power Loss Ratio 592 8.16 Some Low-Pass-Filter Designs 595 8.17 Frequency Transformations 598 8.18 Impedance and Admittance Inverters 603 8.19 A Microstrip Half-Wave Filter 617 8.20 Microstrip Parallel Coupled Filter 626 8.21 Quarter-Wave-Coupled Cavity Filters 635 8.22 Direct-Coupled Cavity Filters 639 8.23 Other Types of Filters 642 9 Microwave Tubes 648 9.1 Introduction 648 9.2 Electron Beams with dc Conditions 650 9.3 Space-Charge Waves on Beams with Confined Flow 654 9.4 Space-Charge Waves on Unfocused Beams 661 9.5 Ac Power Relations 667 9.6 Velocity Modulation 670 9.7 Two-Cavity Klystron 678 9.8 Reflex Klystron 686 9.9 Magnetron 690 9.10 O-Type Traveling-Wave Tube 692 9.11 M-Type Traveling-Wave Tube 699 9.12 Gyrotrons 701 9.13 Other Types of Microwave Tubes 708 10 Solid-State Amplifiers 713 10.1 Bipolar Transistors 716 10.2 Field-Effect Transistors 721 10.3 Circle-Mapping Properties of Bilinear Transformations 725 10.4 Microwave Amplifier Design Using Sij Parameters 726 10.5 Amplifier Power Gain 728 10.6 Amplifier Stability Criteria 735 10.7 Constant Power-Gain Circles 744 10.8 Basic Noise Theory 760 10.9 Low-Noise Amplifier Design 767 10.10 Constant Mismatch Circles 776 10.11 Microwave Amplifier Design 780 10.12 Other Aspects of Microwave Amplifier Design 793 11 Parametric Amplifiers 799 11.1 p-n Junction Diodes 800 11.2 Manley-Rowe Relations 804 11.3 Linearized Equations for Parametric Amplifiers 807 11.4 Parametric Up-Converter 809 11.5 Negative-Resistance Parametric Amplifier 814 11.6 Noise Properties of Parametric Amplifiers 821 12 Oscillators and Mixers 831 12.1 Gunn Oscillators 832 12.2 IMPATT Diodes 837 12.3 Transistor Oscillators 840 12.4 Three-Port Description of a Transistor 843 12.5 Oscillator Circuits 849 12.6 Oscillator Design 851 12.7 Mixers 856 12.8 Mixer Noise Figure 864 12.9 Balanced Mixers 865 12.10 Other Types of Mixers 868 12.11 Mixer Analysis Using Harmonic Balancing 869 Appendixes I Useful Relations from Vector Analysis 876 I.1 Vector Algebra 876 I.2 Vector Operations in Common Coordinate Systems 877 I.3 Vector Identities 879 I.4 Green's Identities 880 II Bessel Functions 881 II.1 Ordinary Bessel Functions 881 II.2 Modified Bessel Functions 883 III Conformal Mapping Techniques 886 III.1 Conformal Mapping 886 III.2 Elliptic Sine Function 889 III.3 Capacitance between Two Parallel Strips 892 III.4 Strip Transmission Line 896 III.5 Conductor Loss 898 III.6 Conductor Losses for a Microstrip Transmission Line 903 III.7 Attenuation for a Coplanar Line 905 IV Physical Constants and Other Data 911 IV.1 Physical Constants 911 IV.2 Conductivities of Materials 912 IV.3 Dielectric Constants of Materials 912 IV.4 Skin Depth in Copper 912 Index 913

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Book SynopsisEnhance your understanding of the failure mechanisms of optical components, and draft fault detection guidelines to design a robust Dense Wavelength Digital Multiplexing (DWDM) system and network that exhibits and maintains optical signal quality and system reliability. This valuable reference builds on Dr. Kartalopoulos'' seminal book on the subject, Introduction to DWDM Technology: Data in a Rainbow, providing an analytical approach to degradations and ''photonic'' faults that affect the quality of the multiwavelength transmission of optical signals. Organized in six chapters, FAULT DETECTABILITY IN DWDM includes detailed descriptions of the properties of light and optical communications, optical components, interaction of wavelengths and faults affecting the quality of the optical signal and the system, correlation of faults, aspects of fault management, and current issues in DWDM. This comprehensive book directs practicing electrical engineers, optical systems desTable of ContentsPreface. Acknowledgments. Introduction. Chapter 1: Properties of Light and Matter. 1.1: Introduction. 1.2: Nature of Light. 1.3: Reflection, Refraction, and Diffraction. 1.4: Polarization of Light. 1.5: Propagation of Light. 1.6: Fiber Birefringence and Polarization. 1.7: Dispersion. 1.8: Fiber Attenuation and Loss. 1.9: Fiber Spectrum Utilization. 1.10: Nonlinear Phenomena. 1.11: Spectral Broadening. 1.12: Self-Phase Modulation. 1.13: Self-Modulation or Modulation Instability. 1.14: Effects of Temperature on Matter and Light. 1.15: Light Attributes. 1.16: Material Attributes. 1.17: Measurable Parameters. References. Standards. Chapter 2: Optical Components. 2.1: Introduction. 2.2: Laser Sources. 2.3: Optical Comb Generators. 2.4: Chirped-Pulse Laser Sources. 2.5: Modulators. 2.6: Photodetectors. 2.7: Fixed Optical Filters. 2.8: Tunable Optical Filters. 2.9: Diffraction Gratings. 2.10: Arrayed Waveguide Grating. 2.11: Directional Couplers. 2.12: Optical Isolators. 2.13: Polarizers, Rotators, and Circulators. 2.14: Optical Equalizers. 2.15: Superprisms. 2.16: Optical Multiplexers and Demultiplexers. 2.17: Optical Cross-Connects. 2.18: Optical Add-Drop Multiplexers. 2.19: Optical Amplifiers. 2.20: Classification of Optical Fiber Amplifiers. 2.21: Wavelength Converters. References. Standards. Chapter 3: Parameters Affecting the Optical DWDM Signal. 3.1: Introduction. 3.2: Component Parameters. References. Standards. Chapter 4: Faults Affecting the Optical DWDM Signal. 4.1: Introduction. 4.2: Components. 4.3: Filters: Fabry-Perot (Passive, Fixed). 4.4: Filters: Fiber Bragg Grating (Passive, Fixed). 4.5: Filters: Chirped FBG (Passive, Fixed). 4.6: Filters: Acousto-Optic Tunable Ti:LiNbO3. 4.7: SOA: InGaAsP. 4.8: OFA: Factors Affecting Integrity and Quality of Signal. 4.9: OFA: Single Pump. 4.10: OFA: Double Pump. 4.11: Mux/Demux. 4.12: OXC: MEMS. 4.13: OXC: LiNbO3. 4.14: OXC Liquid Crystal. 4.15: OADM: LiNbO3 Based. 4.16: OADM: MEMS with Grating. 4.17: Transmitter: Laser. 4.18: Receiver: PIN Diode. 4.19: Fiber: Single Mode. References. Standards. Chapter 5: Fault Correlation. 5.1: Introduction. 5.2: Correlation of Faults and Component Parameter Changes. 5.3: Open Issues: Nonlinear Effects. References. Standards. Chapter 6: Toward DWDM Fault Management and Current Issues. 6.1: Introduction. 6.2: Toward Fault Management. 6.3: Current Issues. 6.4: Engineering DWDM Systems: Conclusion. References. Standards. Acronyms. Index. About the Author.

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Book Synopsis"A thoughtful, idea--filled book for educators confronting the challenge of creating and using alternative assessment procedures. Drawing on years of work with mathematics teachers, Kulm turns the focus on what really works in the classroom.Table of ContentsBACKGROUND AND PERSPECTIVES. Purposes and Goals of Assessment. Assessment and Mathematics Teaching. Procedural and Conceptual Knowledge. Problem Solving and Strategic Knowledge. PLANNING AND DESIGNING AN ASSESSMENT PROGRAM. Getting Started in Alternative Assessment. Student Mathematical Products. Individual Mathematical Performance. Group Mathematical Performance. Student Self-Assessment and Affective Factors. Scoring and Grading Techniques. CLASSROOM ASSESSMENT MODELS. Models for Elementary Grades. Models for Middle Grades. Models for High School. Effects of Alternative Assessment in Mathematics Classrooms.

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Book SynopsisWritten for students, researchers, consultants, professionals, and scholars, Logic Modeling Methods in Program Evaluation provides a step-by-step explanation of logic modeling and its importance in connecting theory with implementation and outcomes in program evaluation in the social sciences.Trade Review"The book is definitely worth buying. Both program developers and evaluators will find the text useful." (Journal of Multidisciplinary Evaluation, March 2008)Table of ContentsList of Figures. Preface. 1. Evaluation and Logic Models. 2. The Uses of Logic Models. 3. The Components of a Logic Model. 4. The Connections in a Logic Model. 5. Developing Logic Models to Support Evaluation. 6. Developing Logic Models of Differing Complexity. 7. Using a Logic Model to Identify Evaluation Questions. 8. Using a Logic Model to Support Explanatory Evaluation. 9. Challenges in Developing Logic Models. 10. Developing Logic Models for Complex Projects. 11. Using Logic Models to Evaluate a Family of Projects. 12. Using the Logic Model to Provide Technical Assistance. Appendix: The Phases of an Evaluation. About the Author. Glossary. References.

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Book SynopsisPatrick Suppes is a philosopher and scientist whose contributions range over probability and statistics, mathematical and experimental psychology, the foundations of physics, education theory, the philosophy of language, measurement theory, and the philosophy of science.Table of ContentsVolume 1: Introduction; P. Humphreys. Part I: Probability. Some Contributions to Formal Theory of Probability; K. Popper, D. Miller. Elementary Non-Archimedean Representations of Probability for Decision Theory and Games; P.J. Hammond. Random Sequences and Hypotheses Tests; R. Chuaqui. Changing Probability Judgements; I. Levi. Upper and Lower Probability; T.L. Fine. Some Connections between Epistemic Logic and the Theory of Nonadditive Probability; P. Mongin. On the Properties of Conditional Independence; W. Spohn. Qualitative Probabilities Revisited; Z. Domotor. The Monks' Vote: a Dialogue on Unidimensional Probabilistic Geometry; J.-C. Falmagne. Part II: Probabilistic Causality. Probabilistic Causation without Probability; P.W. Holland. Causal Tendency, Necessitivity and Sufficientivity: an Updated Review; I.J. Good. Practical Causal Generalizations; E.W. Adams. In Place of Regression; C. Glymour, P. Spirtes, R. Scheines. Testing Probabilistic Causality; D. Costantini. Psychologistic Aspects of Suppes' Definition of Causality; P. Legrenzi, M. Sonino. Name Index. Subject Index. Volume 2: Part III: Philosophy of Physics. Probability and Quantum Theory; B. Loewer. Schrödinger's Version of EPR, and its Problems; A. Fine. Classical Field Magnitudes; J. Vuillemin. Quantity, Representation and Geometry; B. Mundy. Numerical Experimentation; P. Humphreys. Part IV: Theory Structure. Theories and Theoretical Models; R. Wojcicki. Suppes Predicates and the Construction of Unsolvable Problems in the Axiomatized Sciences; N.C.A. da Costa, F.A. Doria. StructuralExplanation; J.D. Sneed. Part V: Measurement Theory. Fifteen Problems concerning the Representational Theory of Measurement; R.D. Luce, L. Narens. The Meaningfulness of Ordinal Comparisons for General Order Relational Systems; F.S. Roberts, Z.S. Rosenbaum. Theories as Nets: the Case of Combinatorial Measurement Theory; C.U. Moulines, J.A. Díez. Name Index. Subject Index. Volume 3: Part VI: Philosophy of Language and Logic. Patrick Suppes' Contribution to the Philosophy of Language; D. Føllesdal. Open Problems in Relational Grammar; M. Böttner. A Variable-Free Logic for Anaphora; W.C. Purdy. Is Snow White? J. Moravcsik. Can there be Reasons for Putting Limitations on Classical Logic? P. Weingartner. Quantum Logic as a Logic of Identification; J. Hintikka, I. Halonen. Logic and Probability in Quantum Mechanics; M.L. dalla Chiara, R. Giuntini. Part VII: Learning Theory, Action Theory, and Robotics. From Stimulus-Sampling to Array-Similarity Theory; W.K. Estes. Action as Seeing to it that Something is the Case; R. Tuomela, G. Sandu. Command Satisfaction and the Acquisition of Habits; C. Crangle. Part VIII: General Philosophy of Science. Some Observations on Patrick Suppes' Philosophy of Science; M.C. Galavotti. Epilogue. Postscript; P. Suppes. Chronological and Topical Bibliography of Patrick Suppes' Publications. Name Index. Subject Index.

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Book SynopsisThe Renaissance philosopher Giordano Bruno was a notable supporter of the new science that arose during his lifetime; his role in its development has been debated ever since the early seventeenth century. Hilary Gatti here reevaluates Bruno's...Trade Review... Hilary Gatti has turned the spotlight back on Bruno, Bruno as a scientific thinker, Bruno as a man whose merits are to be judged by the 'new sicience' and its methods as they were recognized at the end of the sixteenth century and as they were aopted and adapted in the decades that follow....For all who wish to draw closer to an understanding of Bruno's thought processes, this book is essential reading. -- J.D. North * Speculum: A Journal of Medieval Studies *

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