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Advanced calculus /
出版 1983书本目录: “...Fundamentals of Elementary Calculus The Real Number System Continuous Functions Extensions of the Law of the Mean Functions of Several Variables The Elements of Partial Differentiation General Theorems of Partial Differentiation Implicit-Function Theorems The Inverse Function Theorem with Applications Vectors and Vector Fields Linear Transformations Differential Calculus of Functions from Rn to Rm Double and Triple Integrals Curves and Surfaces Line and Surface Integrals Point-Set Theory Fundamental Theorems on Continuous Functions The Theory of Integration Infinite Series Uniform Convergence Power Series Improper Integrals...”
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Management models and industrial applications of linear programming
出版 1961书本目录: “...Suggested Topical Outline Glossary of Symbols A Survey of Some Salient Topics The Stepping-Stone Method for Transportation-Type Models Input-Output: An Example Elements of Matrix Algebra Elements of Matrix Algebra The Simplex Method and Some Geometry in Linear Spaces Appendix A: Some Further Geometrical Concepts Data Interpretations by Direct and Dual Relations Appendix B: Basic Existence Theorems and Goal Programming Solutions and Requirements Spaces: Geometry for the Constraints Appendix C: Some Basic Theorems in the Theory of Linear Inequalities Geometry of the Functional Theory and Computations for Delegation Models of Activity-Analysis Type: K-Efficiency, Functional Efficiency, and Goals Nonlinearity-A Functional Oriented Strategy Horizons and Surrogates in a Dynamic Model for Production Scheduling Appendix D: The Kuhn-Tucker Theorem and Some Applications to Storage, Inventory, and Functional Efficiency Degeneracy, Perturbation, and Complete Regularization Appendix E: Consolidation and Classification Issues with Reference to Leontief Matrices / Bibliography Index Suggested Topical Outline Glossary of Symbols The Modified Simplex and Dual Methods, and the Revised Simplex Code for Electronic Calculators Transportation-type Models Dyadic Models and Subdual Methods Prototypes, Compression, and Emphases in an Oil-field Development Example Appendix F: The Double-Reverse Method Networks and Models of Incidence Type Appendix G: Mixing Routines for a Class of Coupled Models Miscellaneous Topics Some Relations between the Theory of Games and Linear Programming Appendix H: Some Further Aspects of Saddle Points and Min....”
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Schaum's Outline of Probability and Statistics, 4th Edition : 897 Solved Problems + 20 Video
出版 2012书本目录: “...Intro Contents Part I: Probability Chapter 1 Basic Probability Random Experiments Sample Spaces Events The Concept of Probability The Axioms of Probability Some Important Theorems on Probability Assignment of Probabilities Conditional Probability Theorems on Conditional Probability Independent Events Bayes' Theorem or Rule Combinatorial Analysis Fundamental Principle of Counting: Tree Diagrams Permutations Combinations Binomial Coefficient Stirling's Approximation to n! ...”
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Schaum's outline of theory and problems of finite mathematics /
出版 1966书本目录: “...Propositions and truth tables; algebra of propositions; conditional statements; arguments; logical implication; set theory; product sets; relations; functions; vectors; matrices; linear equations; determinants of order two and three; the binomial coefficients and theorem; permutations; ordered samples; combinations; ordered partitions; tree diagrams; probability; conditional probability; independence; independent trials; random variables; Markov chains; inequalities; points, lines and hyperplanes; convex sets and linear inequalities; linear programming; theory of games....”
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Statistics in theory and practice /
出版 1993书本目录: “...Introduction Preliminaries Some common probability distributions Distributions related to the Gaussian Sampling Distributions of sample statistics Bayes' theorem and maximum likelihood Confidence intervals Hypothesis testing The theory of maximum likelihood estimators Least squares fitting for linear models Hypothesis testing in the linear model Rank correlation coefficients Tests of fit Robust tests for means...”
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Advanced engineering mathematics
出版 2011书本目录: “...Divergence Theorem of Gauss 452 10.8 Further Applications of the Divergence Theorem 458 10.9 Stokes’s Theorem 463 PART C Fourier Analysis. ...”
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John von Neumann and modern economics /
出版 1989书本目录: “...Part 1 Von Neumann's growth model in historical perspective: von Neumann and the existence theorem for general equilibrium, Kenneth J.Arrow; von Neumann and Karl Menger's mathematical colloquium, Lionello F.Punzo. ...”
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An introduction to law and economics /
出版 1989书本目录: “...Preface xiii Introduction 1 (6) The Role of Assumptions 2 (5) Efficiency And Equity 7 (4) Is There a Conflict? 7 (4) The Coase Theorem 11 (4) Zero Transaction Costs 11 (1) Positive Transaction Costs 12 (3) First Application---Nuisance Law 15 (12) Zero Transaction Costs 17 (1) Strategic Behavior 18 (3) Imperfect Information 21 (6) Second Application---Breach of Contract 27 (12) A Fully Specified Contract 29 (2) Efficient Breach 31 (3) Efficient Reliance 34 (5) Third Application---Automobile Accidents 39 (14) The Driver's Care 40 (3) The Pedestrain's Care 43 (3) The Activity-Level Issue 46 (7) Risk Bearing And Insurance 53 (6) The Bearing of Risk 53 (3) Insurance 56 (3) Fourth Application---Breach of Contract Again 59 (8) Optimal Risk Allocation 60 (2) The Effects of the Remedies 62 (5) Fifth Application---Automobile Accidents Again 67 (8) Private Insurance Not Available 68 (2) Ideal Insurance Available 70 (2) Imperfect Insurance Available 72 (3) Sixth Application---Law Enforcement 75 (12) The Risk-Neutral Case 77 (2) The Risk-Averse Case 79 (8) Competitive Markets 87 (4) Price Equals Cost 88 (1) The Efficienty of Competitive Pricing 89 (2) Seventh Application---Pollution Control 91 (6) Only Polluters Determine Harm 92 (2) Victims Also Affect Harm 94 (3) Eighth Application---Products Liability 97 (10) Consumers Have Perfect Information 98 (2) Consumers Underestimate Product Risk 100 (1) Risk Aversion 101 (3) Consumers Can Take Care 104 (3) Ninth Application---Suit, Settlement, And Trial 107 (12) The Litigation Process 107 (6) The Analysis of Substantive Legal Rules 113 (6) Efficiency And Equity Reconsidered 119 (10) Redistribution by Taxes and Transfers 119 (2) Can Legal Rules Redistribute Income? ...”
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Introduction to business statistics
出版 2002书本目录: “...Probability: Review of Basic Concepts Introduction Probability: Terms and Approaches Unions and Intersections of Events Addition Rules for Probability Multiplication Rules for Probability Bayes' Theorem and the Revision of Probabilities Counting: Permutations and Combinations Summary 6. ...”
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Statistics for managers using Microsoft Excel
出版 2005书本目录: “...Conditional Probability. Bayes' Theorem. Ethical Issues and Probability. CD-ROM Topic: Counting Rules. 5. ...”
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A practical introduction to data structures and algorithm analysis /
出版 2001书本目录: “...57 (2) Asymptotic Analysis 59 (6) Upper Bounds 60 (2) Lower Bounds 62 (1) Θ Notation 63 (1) Simplifying Rules 64 (1) Calculating the Running Time of a Program 65 (5) Analyzing Problems 70 (1) Common Misunderstandings 71 (1) Multiple Parameters 72 (1) Space Bounds 73 (3) Some Practical Considerations 76 (2) Further Reading 78 (1) Exercises 79 (4) Projects 83 (2) II FUNDAMENTAL DATA STRUCTURES 85 (132) Lists, Stacks, and Queues 87 (54) Lists 88 (25) Array-Based List Implementation 91 (4) Linked Lists 95 (10) Comparison of List Implementations 105 (2) Element Implementations 107 (1) Doubly Linked Lists 108 (5) The Dictionary ADT 113 (6) Stacks 119 (9) Array-Based Stacks 121 (1) Linked Stacks 122 (2) Comparison of Array-Based and Linked Stacks 124 (1) Implementing Recursion 125 (3) Queues 128 (5) Array-Based Queues 129 (4) Linked Queues 133 (1) Comparison of Array-Based and Linked Queues 133 (1) Further Reading 133 (1) Exercises 133 (5) Projects 138 (3) Binary Trees 141 (50) Definitions and Properties 141 (5) The Full Binary Tree Theorem 143 (2) A Binary Tree Node ADT 145 (1) Binary Tree Traversals 146 (3) Binary Tree Node Implementations 149 (10) Pointer-Based Node Implementations 149 (5) Space Requirements 154 (3) Array Implementation for Complete Binary Trees 157 (2) Binary Search Trees 159 (8) Heaps and Priority Queues 167 (7) Huffman Coding Trees 174 (11) Building Huffman Coding Trees 176 (6) Assigning and Using Huffman Codes 182 (3) Further Reading 185 (1) Exercises 186 (3) Projects 189 (2) Non-Binary Trees 191 (26) General Tree Definitions and Terminology 191 (4) An ADT for General Tree Nodes 192 (1) General Tree Traversals 193 (2) The Parent Pointer Implementation 195 (7) General Tree Implementations 202 (5) List of Children 202 (1) The Left-Child/Right-Sibling Implementation 203 (2) Dynamic Node Implementations 205 (2) Dynamic ``Left-Child/Right-Sibling'' Implementation 207 (1) K-ary Trees 207 (1) Sequential Tree Implementations 208 (3) Further Reading 211 (1) Exercises 211 (3) Projects 214 (3) III Sorting and Searching 217 (140) Internal Sorting 219 (40) Sorting Terminology and Notation 219 (2) Three Θ(n2) Sorting Algorithms 221 (6) Insertion Sort 221 (2) Bubble Sort 223 (1) Selection Sort 224 (2) The Cost of Exchange Sorting 226 (1) Shellsort 227 (2) Quicksort 229 (6) Mergesort 235 (3) Heapsort 238 (3) Binsort and Radix Sort 241 (6) An Empirical Comparison of Sorting Algorithms 247 (2) Lower Bounds for Sorting 249 (4) Further Reading 253 (1) Exercises 254 (3) Projects 257 (2) File Processing and External Sorting 259 (34) Primary versus Secondary Storage 259 (3) Disk Drives 262 (8) Disk Drive Architecture 263 (5) Disk Access Costs 268 (2) Buffers and Buffer Pools 270 (5) The Programmer's View of Files 275 (1) External Sorting 276 (3) Simple Approaches to External Sorting 279 (2) Replacement Selection 281 (4) Multiway Merging 285 (3) Further Reading 288 (1) Exercises 288 (3) Projects 291 (2) Searching 293 (34) Searching Sorted Arrays 294 (1) Self-Organizing Lists 295 (6) Searching in Sets 301 (1) Hashing 302 (19) Hash Functions 303 (4) Open Hashing 307 (1) Closed Hashing 308 (13) Further Reading 321 (1) Exercises 321 (3) Projects 324 (3) Indexing 327 (30) Linear Indexing 329 (2) ISAM 331 (3) Tree Indexing 334 (2) 2-3 Trees 336 (7) B-Trees 343 (9) B+-Trees 344 (6) B-Tree Analysis 350 (2) Further Reading 352 (1) Exercises 353 (2) Projects 355 (2) IV Applications and Advanced Topics 357 (136) Graphs 359 (34) Terminology and Representations 360 (4) Graph Implementations 364 (3) Graph Traversals 367 (10) Depth-First Search 370 (1) Breadth-First Search 371 (4) Topological Sort 375 (2) Shortest-Paths Problems 377 (5) Single-Source Shortest Paths 377 (4) All-Pairs Shortest Paths 381 (1) Minimum-Cost Spanning Trees 382 (5) Prim's Algorithm 383 (3) Kruskal's Algorithm 386 (1) Further Reading 387 (1) Exercises 388 (2) Projects 390 (3) Lists and Arrays Revisited 393 (30) Skip Lists 393 (6) Multilists 399 (3) Matrix Representations 402 (4) Memory Management 406 (12) Dynamic Storage Allocation 407 (7) Failure Policies and Garbage Collection 414 (4) Further Reading 418 (1) Exercises 419 (1) Projects 420 (3) Advanced Tree Structures 423 (28) Tries 423 (5) Balanced Trees 428 (6) The AVL Tree 428 (3) The Splay Tree 431 (3) Spatial Data Structures 434 (13) The K-D Tree 436 (5) The PR quadtree 441 (4) Other Spatial Data Structures 445 (2) Further Reading 447 (1) Exercises 447 (1) Projects 448 (3) Analysis Techniques 451 (18) Summation Techniques 452 (3) Recurrence Relations 455 (6) Estimating Upper and Lower Bounds 455 (1) Expanding Recurrences 456 (1) Divide and Conquer Recurrences 457 (2) Average-Case Analysis of Quicksort 459 (2) Amortized Analysis 461 (3) Further Reading 464 (1) Exercises 464 (4) Projects 468 (1) Limits to Computation 469 (24) Reductions 470 (5) Hard Problems 475 (7) NP-Completeness 476 (5) Getting Around NP-Complete Problems 481 (1) Impossible Problems 482 (7) Uncountability 483 (3) The Halting Problem Is Unsolvable 486 (2) Determining Program Behavior Is Unsolvable 488 (1) Further Reading 489 (1) Exercises 489 (2) Projects 491 (2) V APPENDIX 493 (4) A Utility Functions 495 (2) Bibliography 497 (6) Index 503...”
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