1. Main Virtual Reality Engine (Load Objects, Worlds, Universes, and other Data, Render, and Interface & Interact with User(s))
Virtual reality user interfaces may include a force ball, data glove (5DT, Age, New Age PC Power glove, Nintendo Power glove and Logitech ultrasonic tracker, Magnetic Polhemus AC, Ascension DC glove), head tacker, wand/puck, hat controllers, tilt sensors, space ball (Virtual Real Mouse - buttons and a ball (yaw,pitch,roll)), logitec cyberman, HMD(head mounted display-Virtuality/Atari HMD), two and three axis inclinometers compares measurements to Earth's reference standard magnetic and gravity fields, Projection systems - wide screen, cave systems - uses multiple projectors, and screens that surround the user on three or four sides, and Star Trek Like Holodeck systems which use ultrasonics, magnetic fields, air pressure, and neutrino tesla scalar waves sensors, receivers, and projectors to create a virtual reality environment date around the user which is near real.
Classical Expert Systems - Natural Language Interface <> Inference Engine<>Knoledge Base<>BlackBoard Interface
2.Virtual Reality Database Engine, & Maintenance Program (Create, Convert, & Manage Virtual Reality Image Objects, Object Data, Properties, Methods, and other Algorithms that may include Virtual Realty, & Artificial Intelligence Engines (Genetic algorithms, neural networks, plan management, expert systems, logical systems, learning , movement systems and engines), (Create, delete, update data, objects, rules, and algorithms, analyze and model data and objects, reports, graphs, spreadsheets, risk managers, forecasters, simulators and modelers), ( Image Converters which convert any image (3d Studio Max/Soft Image, Vector, Flash, Fractal, VRML, Bitmap, etc.) into a generic virtual reality vector based object.)
3. Object Oriented Virtual Reality Data Structure For Synthetic, Virtual Reality Worlds
[Community Virtual Reality Model and Object Data Structures]
1.Object image data and algorithms
a.Virtual reality rend386/vril - object(plg file), complex object(fig file), world (world file), universe (universe file)
b.VRML(Virtual Reality Modeling Language)
c.Fractal
d.Vector (3d Studio Max/flash/other)
e.Bitmap and other file formats
f.Vector and matrix processing, 3D graphics processing, virtual reality processing algorithms
g. Image Converters which convert any image (3D Studio Max, Vector, Flash, Fractal, VRML, Bitmap, etc.) into a generic virtual
reality vector based object.
2.Object Organic/animate data and algorithms
Organic object
Artificial intelligence data and algorithms
Genetic algorithms, neural networks, plan management, expert systems, logical systems, learning systems and engines
Memories/history engines
Consciousness, senses, intelligence, thought processes, subconscious
Virtual reality engine
Movement engines
Walking, talking, object manipulation, gestures/emotions, running, dance, gymnastics, martial arts
Sound engines
Voice patterns
Personality engines
Habits/routines/rituals/favorites
Physical body characteristics - hight, weight, hair, eye color, etc.
Family history/spiritual/aura/genetic history
Advanced and unique abilities - telekinetics, tele-abilities
Scripts, scenes, and scenarios
Other Attributes
Archetypes and classes of organic objects (plants, animal classes, bioped advanced face types, body types,
personality types, etc.)
Random and specified generators to create organic objects
3.Object inorganic/inanimate/mechanical data and algorithms
Mechanical object (Machine, cybernetic objects, computer, car, space ship, robot, android)
Artificial intelligence data and algorithms
Genetic algorithms, neural networks, plan management, expert systems, logical systems, learning systems and Engines
Memories/history engines
Consciousness, senses, intelligence, though processes, subconscious
Virtual reality engine
Movement engines
Walking, talking, object manipulation, gestures/emotions, running, dance, gymnastics, martial arts
Sound engines
Personality
Habits/routines/rituals/favorites
Physical body characteristics - hight, weight, hair, eye color, etc.
Family history/spiritual/aura/genetic history
Advanced and unique abilities - telekinetics, tele-abilities
Scripts, scenes, and scenarios
Other Attributes
Archetypes and classes of mechanical objects ()
Random and specified generators to create mechanical objects
4.Object inorganic/inanimate/nonmechanical data and algorithms (Rocks, Minerals, Elements )
5.Object semi-organic/animate data and algorithms (World, Sun, Planets, Social Structures, Mass Trends, Political Cycles, Historical and Environmental (Weather) Cycles, Landscapes, Scenes, Nations, States, Cities, Organizations, Communities, Cultures, Neighborhoods, Businesses, Residences, Maps )
Semi-animate object
Artificial intelligence data and algorithms
Genetic algorithms, neural networks, plan management, expert systems, logical systems, learning systems and engines
Memories/history engines
Consciousness, senses, intelligence, though processes, subconscious
Virtual reality engine
Movement engines
Walking, talking, object manipulation, gestures/emotions, running, dance, gymnastics, martial arts
Sound engines
Personality
Habits/routines/rituals/favorites
Physical body characteristics - hight, weight, hair, eye color, etc.
Family history/spiritual/aura/genetic history
Advanced and unique abilities - telekinetics, tele-abilities
Scripts, scenes, and scenarios
Other Attributes
Archetypes and classes of semi-organic objects
Random and specified generators to create mechanical objects
6.Object generic universal data and algorithms ( structure, map, history, laws of universe, worlds, regions, and subregions, physics laws and constants, time lines, speed of time, other dimensional (warped time and/or space, no time and/or space, different time and space frames), otherworldly, magical, fantastical, super ethical, ordered, chaotic, highly evolved, primitive, game rules and engines, quests, and other)
Artificial Intelligence Reference Books:
1.Computer Animation Neal Weinstock, 1986
2. The Handbook of Artificial Intelligence Volume I, II, III Avron Barr & Edward A. Feigenbaum, Heuristech Press, Standford Ca, William Kaufmann Inc., Lost Altos California, 1981, Vol1, ISBN 0-86576-005-5, Vol II ISBN 0-86576-006-3, Vol. III ISBN 0-86576-007-1
3.The Improbable Machine by Jeremy Campbell, Simon and Schuster, 1989, ISBN 0-671-65711-9
4. The Architecture of Symbolic Computers, Pewter M. Kogge, McGrawHill Inc. , 1991, ISBN 0-07-035596-7
5. Neural Networks and Natural Intelligence Edited by Stephen GrossBerg, MIT Press
6. Mathematical Methods for Artificial Intelligence and Autonomous Systems by Edward R. Dougherty, Charles R. Giardina, Prentice Hall, EngleWood Cliffs, New Jersey, 1988, ISBN 0-13-56-913-5.
7. Simulation Using Personal Computers John M. Carroll, Prentice Hall Inc. New Jersey, 1987, ISBN 0-8259-6924-X.
8.An Introduction to Solid Modeling, Martii Mantyla, 1988, Computer Science Press, ISBN 0-88175-108-1
9. Cellular Automata Machines A New Environment For Modeling Tommaso Toffoli, Norman Margolus, 1987, MIT Press, ISBN 0-262-20060-0
10. The Fractal Geometry of Nature, Benoit B. Mandlebrot, ISBN 0-7617-1186-9, 1983, W.H. Freeman and Co., NY, ISBN 9-780716-711865
11. Chaos and Fractals, The Mathematics Behind the Computer Graphics, 1989, ISBN 0-8218-0137-6, Proceedings of Symposia in Applied mathematics Volume 39, Robert L. Devaney American Mathematical Society
12.Programming Role Playing Games With DirectX 2nd Edition Jim Adams, Thomson Course Technology, 49.99, www.courseptr.com, ISBN 0-82039-50315-8. 1-59200-315-x
13.3D Game Programming All in One (Course Technology PTR Game Development Series)
by Kenneth C Finney
14.Focus On 3D Models (Game Development)
by Evan Pipho
15.Physics Modeling for Game Programmers
by David Conger,2004
16.Mathematics for Game Developers (Game Development)
by Christopher Tremblay
17. AI Agents in virtual reality worlds, Programming Intelligent VR In C++ by Mark Watson ISBN 0-471-12708-6, 1996, John Wiley and Sons.
18.Designing 3D Games That Sell! (Graphics Series) [Paperback] by
Ahearn, Luke
19.The virtual reality programmers kit Joe Gradecki , John Wiley and Sons, 1994, ISBN 0-471-05253-1
20.Virtual Reality Excursions: With Programs in C by Watkins,
Christopher D...
21.3D Graphics Programming: Games and Beyond (with CD-ROM)
22.Windows Visualization Programming With C/C++ 3d Visualization,
Simulation, and
23.The Art of 3-D Computer Animation and Effects, Third Edition
by Isaac Victor Kerlow
24.Beyond Reality: A Guide to Alternate Reality Gaming
by John W. Gosney
25.AI Application Programming (Programming Series) -- by M. Tim Jones; Paperback
26.Artificial Intelligence Programming -- by Christopher K. Riesbeck, et al; Hardcover
27.Emotional Intelligence : Why It Can Matter More Than IQ -- by Daniel Goleman; Paperback
28.Programming Discrete Simulations: Tools for Modeling the Real World
by M. A. Pollatschek
29.Programming Role Playing Games with DirectX, Second Edition (Game Development Series)
30. *AI for games and animation, a cognative modeling approach by John David Funge, isbn 1568811039
Cognative Modeling Pyaramid(behavioral, Physical, Kinematic, Geometric), Knowledge acqusistion, biomechanical models, prehistoric world, robotics, automatic cinemetography, machine learning -> previous states, current state of world, next states, situation tree - characters search for sequence of actions that meet goals in a situation and do (move, shoot, aim, range). Deformabl and rigid body motions, rigid body link kinematics,
31. AI for Game Developers David Bourg, pub Orielly, isbn 0-596-00555-5
32. Tricks of 3D game programming Gurus- advanced 3D graphics and rasterization
Andre lamothe Sams (3D picture processing, wire frame, math engine, 3D Game and Virtual Computer), Game Engine(Initialize, Game loop, Retrieve Player input, Perform AI & Game Logic, Render Next Frame, Loop)
33. Programming Role Playing Games with Direct x 2nd ed. Jim Adams 8203950315
www.courseptr.com, direct x, game core (data, state processing), game loops and engine, 2d and 3d graphics, scripts in out, intenet networking Perl, CGL Java, Players, Maps (Region, Node), Levels, combat sequence, defining objects, game story, rendenring scene, barriers and triggers,.
34. Artificial Intelligence Using C By Herbert Schildt, Osborne McGraw-Hill, 1987 ISBN 0-07-881255-0
35. Special Editoin, Using VRML, Stephen N. Matsuba and Bernie Roehl, ISBN 0-7897-0494-3, 1996 http://www.sdsc.edu.vrml
36. The Virtual Reality Construction Kit, Joe Gradecki, John Wiley and Sons, 1994
37. Flash Games Studio Sham Bangal Friends of ED, 2001, ISBN-1-903450-67-5
38. Multiplayer Game Programming w/CD (Prima Tech's Game Development) [Paperback... [Paperback]
By: Todd Barron, LostLogic
39.Vrml: Flying Through the Web [Paperback] by Pesce, Mark [Paperback]
By: Mark Pesce
40. MUD Game Programming (Game Development) [Paperback] by Penton, Ron
41. Teach Yourself Vrml 2 in 21 Days (Teach Yourself (Teach Yourself)) by Marrin...
42. Programming Role Playing Games with Direct X, Jim Adams
General Computer Science and Engineering:
Applied Discrete Structures for Computer Science 2nd Edition, Alan Doer, Kenneth Levasseur, Scientific Research Associates, ISBN 0-574-18750-2
Set Theory, Set Notation and Relations, Basic Set Operations, Cartesian Products and Power Sets, Binary Representation, Summation Notation, and Generalizations, Combinatorics, Basic Counting Techniques, The Rule of Products, Permutation, Partitions of Sets and the Laws of Addition, Combinations and the Binomial Theorem, Logic Propositions and Logical Operators, Truth Tables and Propositions Generated by a set, Equivallence and Implication, The Laws of Logic, Mathematical Systems, Propositions Over a Universe, Mathematical Induction, Quantifiers, A Review of Methods of Proof, More on Sets Methods and Proofs for Sets, Laws of Set Theory, MiniSets, The Duality of Principle, Introduction to Matrix Algebra, Basic Definitions, Addition and Scalar Multiplication, Special Types of Matrices, Laws of Matrix Algebra, Matrix Oddities, Relations and Graphs Basic Definitions, Graphs of Relations, Properties of Relations, Matrices of Relations, Closure Operations of Relations, Functions, Definitions of a Function and Notation, Injective, Surjective, and Bijective Functions, Composition, Identity, and Inverse, Recursion and Recurrence Relations,. The Many Faces of Recurrence Relations, Sequences or Discrete Functions, Recurrence Relations, Some Common Recurrence Relations, Generating Functions, Graph Theory, Graphs General Introduction Connectivity, Traversals Eulerian and Hamiltonian Graph Optimization, Planarity and Colorings, Trees What is a Tree, Spanning Trees, Rooted Trees, Binary Trees, Algebraic Systems Operations, Algebraic Systems, Some General Properties of Groups, Zn the Integers Modulo n,. Subsystems, Direct Products, Isomorphisms, Object Oriented Programming, More Matrix Algebra Systems of Linear Equations, Matrix Inversion, An Introduction to Vector Spaces, and the Diagonalization Process, The diagonalizatoin Process, Some Applications, Boolean Algebra Positive Sets Revisited, Lattices, Boolean Algebras, Atoms of a Boolean Algebra, Finite Boolean Algebras as n-tuples of os and 1s, Boolean expressions, A brief introduction to the Application of Boolean Algebra to Switching Theory, Monoids and Automata Monoids, Free Monoids and Languages, Automata Finite State Machines, The Monoid of a Finite State Machine, The Machine of a Monoid, Group Theory and Applications Cyclic Groups, Cosets and Factor Groups Permutation Groups, Normal Subgroups and Group Homomorphisms, Coding Theory - Group Codes, An Introduction to 'Rings and Fields, Rings Basic Definitions and Concepts Fields, Polynomial Rings, Field Extensions, Power Series, Determinants Definition Cramers Rule and the Cofacter methods for Inverses, An Introduction to Algorithms
Cybernetics or control and communication in the Animal or Machine Norbert Weiner 2nd Edition, MIT Press, 1948 and 1961
Intro, Newtonian and Bergsonian Time, Groups and Statistical Mechanics, Series Information and Communication, Feedback and Oscillation, Computing Machines and the Nervous System, Gestalt and Universals, Information Language and Society, On Learning and Self Reproducing Machines, Brain Waves and Self Organizing Systems
Numerical Recipes in C, The Art of Scientific Computing, William H. Press, Cambridge University Press, 1988, ISBN 0-521-35465-X
Compilers, Principles, Techniques, and Tools Alfred V. Aho, Addison Wesly Publishing Company, ISBN-0-201-10088-6
The Theory and Practice of Compiler Writing, McGrawHill Computer Science Series, John Paul Trembly, McGraw Hill Book Co. ISBN 0-07-065161-2, 1985.
Ch 1. Introduction, Programming Languages, Translators, Model of a Compiler,Ch2. Notions and Concepts for Languages and Grammars,Sets and Strings, Discussion on Grammars, Classification of Grammars, Context Free Grammars and Parsing, Syntax Terminology, Reduced Grammars and Grammars with E rules, Extended BNF Notation,Ch3. Programming Language Design,Ch4. Scanners, Ch 5 Compile Time Error Handleing, Ch 6. Top Down Parsing, Ch 7 Bottom Up Parsing, Ch 8 Symbol Table Handling Techniques, Ch 9 Run Time Storage Organization and Management Ch 10 Intermediate Forms and Source Programs Ch 11 Semantic Analysis And Code Generation Chapter 12 Code Optimization Chapter 13 Machine Dependent Optimization, Ch 14 Compiler-Compilers, Appendix Algorithmic Notation
Computer Graphics the Principles and Art of the Science, Cornel K. Pokorny
Code and Information Theory Richard Hamming Prentice Hall, 1980, 1986 ISBN 0-13-139072-4
Model of the Signaling System, Information Source, Encoding an Alphabet, Error Detecting Codes, Errot Correcting Codes, Variable Length Codes, Entropy and Shannons First Theorem, The channel and Mutual Information, Channel Capacity, Some Mathematical Preliminaries, Shanons Main Theorem, Algebraic Coding Theory,
User Oriented Computer Languages, Analysis and Design, Melvin Klerer, Macmillian Publishing Co. 1987, ISBN 0-02-949911-9
Programming Languages, A Grand Tour Edited by Ellis Horowitz, 1987, Computer Science Press, ISBN 0-88175-142-1
Compiler Design in C, Allen I. Holub, 1990, ISBN 0-13-155045-4
Fundamentals of Data Structures in C++ by Ellis Horowitz, et al (Hardcover - February 15, 1995)
Intro, Exchange Sorting, Binary Search, Fibonacci- Filling a Magic Square, Arrays Polynomial, Fibbonacci Polynomial, Sparce Matrix Transpose & Multiplication, Stacks and Queues Sequential Stacks, Ques, Circular Sequential Quees, Path Through a Maze, Evaluation of Postfix Expression MStacks, Linked Lists Create List with 2 nodes, Insert a Node, Delete node from list, linkes tacks, Linked ques, Finding a Node, Initializing available space, Returning a Node, Linked Polynomial Addition Erasing a linked list, Easing a circular list, Circular linked polynomial addition, Inverting a linked list, concatenating two lists, circular list insertion, length of a circular list, finding equivalence classes, reading a sparse matrix, erasing a linked sparse matrix, doubly linked lists, first fit allocation, returning freed blocks, general lists Erasing a list with reference counts, garbage collection, compacting storage, strings, finding a pattern, Initializing available space, Trees In order traversal, Preorder Traversal, Postorder Traversal, Copy a Binary Tree, Equivalence of Binary Trees, Evaluating propositional expressions, the inorder successor, traversing a threaded binary tree, insertion of a threaded tree, Disjoing set union, decisions trees, game playing, Graphs Depth first search, breadth first search, connected components, minimum spanning tree, shortest path single source, topoligical order, the first m shortest path, Internal Sorting sequential search, binary search, fibonachi search, determining equality of two lists, insertion sorting, quick sorting , to way merge sort, heapsort, radix sorting rearranging sorted records, Eternal sorting k -way merging, k-way sorting buffering, run generation type k-way merge, Symbol Tables Binary search trees, minimum external path length, optimal binary search tree, binary tree insertion hashing, Files searching an m-way tree, inserting in to a b-tree, deletion from b-tree tree searching
Learn Visual C++ Now, Mark Andrews, Microsoft Press, 1996, ISBN 1-55615-845-9
An Introduction To Computer Logic, Prentice Hall Electrical Engineering Series H. Troy Nable Jr. , 1975, ISBN 0-13-480012-5
Elements of the Theory of Computation, 1981, Prentice Hall Inc. ISBN 0-13-27341-6
Fourth Generation Languages, Volume I Principles, James Martin, Prentice Hall, 1985, ISBN 0-13-329673-3
Fourth Generation Languages, James Martin Vol II. ISBN 013-329749-7
Robot Vision Berthold Clause Paul Horn, MIT Press, Mcgraw Hill Book, 1986, ISBN 0-262-08159-8,
Parallel Distributed Processing, Explorations in the Microstructures of Cognition, Vol 1 Foundations , Vol 2. Psychological and Biological Models, David RumelHart, Bradford Book MIT Press, 1986, 0-262-18120-7 Vol 1, 0-262-13218-4 Vol 2
Fundamentals of Programming Languages Ellis Horowitz, 1984, Computer Science Press, ISBN 0-88175-004-2
Easy Learning, Flash Game Workshop, Basics of Using Flash to Create Games, Vol 1, Issue 1, ISBN 0-77470-56739-4 , DID Digital Intelligent Development Co. Ltd. email - support@didinter.com
Read Less Learn More, Teach Yourself Visually Flash MX 2004, Wiley Publishing, Sherry Williard Kinkoph, 2004, ISBN 0-7645-4334-2
Sams teach yourself Macormedia Flash 5, in 24 hours, phillip Kerman, 2001 , isbn 0-672-31892-x
Logic, Math, Language, and other scientific and technical references:
Deductive Logic An Introduction Herbert E. Hendry, 1986
Part I Introduction, I. Deductive Logic, Introduction, Deductive v.s. Inductive Logic, The logic of connectives vs. the logic of quantifiers, Truth functions, Conditionals and biconitionals, Deductive Validity, Establishing Validity and Invalidity; 2. Preliminaries,1. The plan, 2. Discourse about discourse, 3. Sets; Part II. The Logic of Truth-Functional Connectives; 3. The Languagce LC and its Logic, 1. The syntax of LC, 2. The semantics of LC, 3. Validity and the truth table test, 4. Other Logical Concepts, 5. Translation, 6. Consequence and satisfiability, 7. Functional completeness, 4. The Methode of Truth Trees, 1. Introduction, 2. Constructing Trees, 3. The Tree Test, 5. The Method of Deduction, 1. Introduction, 2. The constituative rules, 3. Rules of strategy; Part III. The Logic of Quantifiers, 1. The syntax of LQ, 2. The semantics of LQ, 3. The logical concepts revisted, 4. Tranlation, 7.The Methode of Trees, Extended, Introduction, The new rules, Infinite trees, 8. The Method of Deduction Extended, Introduction, Constituative rules, Rules of Strategy, Partial Drafts, Elementary Theories, Decision Procedures and decidability, Two modes of theory presentation, Constency, completeness, and independence, Axiomatizability, Establishing completeness, The completeness of Infitism, Categoricity, The Los-Vaught Test, Dense Linear Ordering with no beginning or end, Theorizing; IV. Identity, Description, and Functions, Identity, Syntactic and semantic modifications, Translation, Identity and the methode of trees, Identity and the methode of deduction, Descriptions, Introduction, The Language of LQ: Syntax and Semantics, The methode of deduction revised, Functions; 8. Theorems of Godel, Church, and Tarski, Appendices, 1. Mathematical Induction, 2. Monadic Theories, 3. Pure Identity Theories, 4. Nonstandard Theories, 5. Some nonelementary ideas, 6. The Cardinality Theorem, 7. Theorems of Craig and Robinson, 8.The axiomatizability of N without multiplicatoin, Glossary ,Index
Joseph Hannah, PHL 480 MSU, PHL of Science, Feigle J. , The Origin and Spirit of Logical Positivism 1984 PHL of Science
Hanna, The Logic of 20th Empirisism, Carnap R. Foundations of Logic and Mathematics, 1939 Chicago Univ. Press, Hempel C.G., Empiricist Criteria Of Cognitive Significance, Carnap, Methological Character of Theoretical Concepts, Hempel The Theoreticians Dilemma, Quine W.V. The Two Dogmas of Empiriscism, Hanson Logical Positivism, Shapere D. The concept of Observation, Kuhn Second Thoughts on Paradigms, Fodor J. Observations Reconsidered, Hanna Fodor's Observations Reconsidered, Suppes P.Set Theoretical Foundations, Suppe F. Whats Wrong with the Recieved View, Sneed F. the Logical Structure, Hempel Ascpects of Scientific Explanation, Hannah An Introspective Survey, Hempel Aspects of Scientific Explanation, Salmon Scientific Explanation, Hanna Objective Homogeniety Relativized, Popper Truth Rationality, Lakatos, Falsification and the Methodology, Kuhn Logic of Discovery or Pshycology of Research, Lauden Progress and its Problems, Giere Philosophy of Science Naturalized, Topics, Logical Empiricists Prespective ,Syntax Semantics and Pragmatics, Logical Empiricists Theory of Meaning, The Recieved View of Scientific Theories, Internal Critique of the Recieved View, External Critque of the Recieved View, The Observation Theory Distinction Reconsidered, The Semantic Theory of Theories, The Covering Law Model of Explanation, Statistical Explanation, Objective Homogeniety, The Causal Theory of Explanation, Rationality and the Growth the Knowledge,The Philosophy of Science and Emperical Theory.
Formal Philosophy Selected Papers of Richard Montague, New Haven and London, Yale University Press, 1974, Lib Congress 73-77159 - Logical Necessity, Physical Necessity, Ethics, and Quantifiers, Pragmatic and Intentional Logic, On the Nature of Certain Philosophical Entities, English and Formal Language, Universal Grammar, The Proper Treatment of Quantification In Ordinary Language, A Paradox Regained, Syntactical Treatments of Modality with Corollaries, Deterministic Theories
The Sense of Grammar, Language as Semiotic Michael Shapiro, Indiana University Press, 1983
An Introduction to Historical and Comparative Linguistics Aimo Anttila, MacMillian Publishing, 1972
Handbook of Semiotics Winfried Noth, Indiana University Press, 1990,. 0-253-34120-5
History and Classifcation of Modern Semoitics Pierce, Morris, Saussure, Hjelmslev, Jakobsen
Sign and Meaning, Sign, Meangin, Sense, Refersence, Semantics and Semiotics, Typology of Signs, Sign, Signal, Index, Symbol, Icon and Iconicity, Metaphor, Information Semiosis Code and Semantic Field Language and Language Based Codes
Spoken Word Count, Sept. 1966, Published by Language Research Associates Inc. 175 East Delaware Place Chicago, Illinois 60611, 1966 Lyle V. Jones and Joseph M. Wepman, List of Most Frequently Used Words
Handbook of Probability and Statistics with Tables/2nd Edition Burlington May
Mc Grawhill book company 1970
Calculus With Analytic Geometry, Second Edition, Earl W. Swokoski
Electricity Made Simple, By Henry Jacobowitz, B.S. , Double Day Company Inc.
Tune In The World With Ham Radio, 1986 Edition by Larry Wolfgang, American Radio Relay League
Fundamentals of Algebra and Trigonometry, Earl W. Swokowski, 4th Edition, 1978, Prindle, Weber, & Schmidt Inc.
Fundementals of Mathematics, Volume I, Foundations of Mathematics: The Real Number System and Algebra edited by H. Behnke, F. Bachmann, K. Fladt, and W. Suss. Translated by S.H. Gould., The MIT Press, Cambridge, Massachusetts, and London, England. 1983, ISBN 0-262-02049-3 hardcover
Part A:
Foundations of Mathematics
H. Hermes and W. Markwald
1. Conceptions of the Nature of Mathematics
2. Logical Analysis of Propositions
3. The Concept of a Consquence
4. Axiomatization
5. The Concept of an Algorithm
6. Proofs
7. Theory of Sets
8. Theory of Relations
9.Bolean Algebra
10. Axiomatization of the Natural Numbers
11. Antinomies
Bibliography
Part B
Arithmetic and Algebra
Introduction, W. Grobner
Chapter 1
Construction of the System of Real Numbers, G. Pickert and L. Gorke
1. The Natural Numbers
2. The Integers
3. The Real Numbers
Appendix: Ordinal Numbers, D. Kurepa and A. Aymanns
Chapter 2
Groups @. Gaschutz and H. Naock
1. Axioms and Examples
2. Immediate Consequences of the Axioms for a Group
3. Methods of Investigating the Structure of Groups
4. Isomorphisms
5. Cyclic Groups
6. Normal Subgroups and Factor Groups
7. The Commutator Group
8. Direct Products
9. Abelian Groups
10. The Homomorphism Theorm
11. The Isomorphism Theorem
12. Composition Series, Jordan-Holder Theorem
13. Normalize, Centralizer, Center
14. p-Groups
15. Premutation Groups
16. Some Remarkds on More General Infinite Groups
Chapter 3
Linear Algebra, H. Gericke and H. Wasche
1. The concept of a Vector Space
2. Linear Transformations of Vector Spaces
3. Products of Vectors
Chapter 4
Polynomials, G. Pickert and W. Ruckert
1. Entire Rational Functions
2. Polynomials
3. The Use of Indeterminates as a Method of Proof
Chapter 5
Rings and Ideals, W. Grobner and P.Lesky
1. Rings, Integral Domains, Fields
2. Divisibility in Integral Domains
3. Ideals in Commutative Rings, Principle Ideal Rings, Residue Class Rings
4. Divisibility in Polynomial Rules Elimination
Chapter 6
Theory of Numbers, H. -H Ostmann and H. Liermann
1. Introduction
2. Divisibility Theory
3. Continued Fractions
4. Congruences
5. Some Number-Theoretic Functions; The Mobius Inverstion Formula
6. The Chinese Remainder Theorem; Direct Decomposition of C/(m)
7. Diophantine Equations; Algebraic Congruences
8. Algebraic Numbers
9. Additive Number Theory
Chapter 7
Algebraic Extentions of a Field, O. Haupt and P. Sengenhorst
1. The Splitting Field of Polynomial
2. Finite Extensions
3. Normal Extensions
4. Sepeerable Extensions
5. Roots of Unity
6. Isomorphic Mappings of Seperable Finite Extensions
7. Normal Fiels and the Automophism Group (Galois Group)
8. Finite Fields
9. Irreducibility of the Cyclotomic Polynimial and Structure of the Galois Group of the Cyclotomicl Field over the Field of Rational Numbers
10. Solvability by Radicals. Equations of the Third and Fourth Degree.
Chapter 8
Complex Numbers and Quaternions, G. Pickert and H.-G. Steiner
1. The Complex Numbers
2. Algebraic Closedness of the Field of Complex Numbers
3. Quaternions
Chapter 9
Lattices H. Gericke and H. Martens
1. Properties of the Power Set
2. Examples
3. Lattices of Finite Length
4. Distributive Lattices
5. Modular Lattices
6. Projective Geometry
Chapter 10
Some Basic Concepts for a Theory of Structure, H. Gericke and H. Martens
1. Configurations
2. Structure
Chapter 11
Zorn's Lemma and the High Chain Principle, H. Wolff and H. Noack
1. Ordered Sets
2. Zorn's Lemma
3. Examples of the Application of Zorn's Lemma
4. Proof of Zorn's Lemma from the Axiom of Choice
5. Questions Concerning the Foundations of Mathematics
Fundementals of Math Volume II Geometry Edited by H. Behnke, F. Bachmann, K. Fladt, and H. Kunle translated by S. H. Gould, The MIT Press, Cambridge, Massachusetss 1983, ISBN 0-262-52094-X (Paperback), Originally published by Vandenhoeck & Ruprecht, Gottingen, Germany under the title Grundzuge der Mathematik. , Part A. Foundations of Geometry, Chapter 1 Geometry - A Phenomenological Discussion, Chapter 2 Points, Vectors, and Relfections, Chapter 3 Affine and Projective Planes, Chapter 4 Euclidian Planes, Chapter 5 Absolute Geomtry, Chapter 6 The Classical Euclidian and the Classical Hyperbolic Geometry, Chapter 7 Geometric Constructions, Chapter 8 Polygons and Polyhedra; Part B Analytic Treatment of Geometry, Chapter 9. Affine and Euclidan Geometry, Chapter 10 From Projective to Euclidian Geometry, Chapter 11 Algebraic Geometry, Chapter 12 Erlanger Program and Higher Geometry, Chapter 14 Differential Geometry of Curves and Surfaces, Chapter 15 Convex Figures, Chapter 16. Aspects of Topology
Fundementals of Mathematics, Volume III, Analysis, edited by H. Behnke, F. Backmann, K. Fladt and W. Suss, translated by S. H. Gould, The MIT Press, Cambridge, Massachusetts, and London, England. , 1983, ISBN 0-262-02049-1 hardcover
Chapter 1
Convergence, J. Gerretsen and H. Rau
1. Introduction
2. Sequences
3. Monotone Sequencies and Limits of Indeterminancy
4. Metric Spaces
5. Filters
6. Uniform Spaces
Chapter 2
Functions, H. Freudenthal and H. Wasche
1. Continuity
2. Differentiability
3. Higher Derivatives
4. Exponential Functions
5. Functions in n-Dimensional Space
Chapter 3
Integral and Measure, E. Schieferdecker and K. Strehlike
1. Elmentary Theory of Integration
2. Abstract Measure and Its Extension
3. Distributions
Chapter 3a
Fundemental Concepts of the Theory of Probability, L. Schmetterer
and R. Stender
1. The Concept of Probability
2. The Distribution Function of a Random Variable
3. Independence
4. Expectation
5. Characteristic Functions
6. Sums of Independent Random Variables
7. Conditional Probability and Conditional Expectation
8. Some Limit Theorems
Chapter 4
Alternating Differential Forms, F. Sommer, B. Reiman, and H. Rau
A. The Laws for Multiple Integrals
1. Integrals over Curves on the Plane and in Space
2. Integrals over Surfaces in Space
3. Integrals over Manifolds M super 4 in the Space R super N
4. Transformation of the Parameters
5. Transformation of Coordinates. The Concept of an Alternating Differential Form
B. The Calculus of Atlernating Differentials
6. The Grassman Algebra of Alternating Differential Forms
7. The Differential Operations for the Alternating Differential Forms
8. Transformation of Coordinates
9. The Stokes Theorem
C. Application of the Calculus of Atlernating Differential Forms
10. Differential Forms in the Euclidian Plane
11. Differential Forms in the Eculidean Three-Dimensional Space, Vector Analysis
12. Differential Forms on Differentiable and Riemannian Manifolds
Chapter 5
Comples Numbers. The Foundations of Analysis in the Complex Plane, E. Peschl and A. Schulte
1. The Complex Numbers
2. The relatioin of Complex Numbers to Elementary Geometry
3. Fundemental Theorem of Algebra
4. Sets and Sequences of Complex Numbers, Basic Topololgical Concepts
5. Functions, Real and Complex Differentiability and Differentials
6. Holomorphic and Harmonic Functions
Chapter 6
Functions of a Complex Variable, H. Tietz and K. Wigand
1. Holomorphic Functions in the Complex Plane
2. Meromorphic Functions in the Complex Plane
3. The Theory of Functions on the Closed Plane
4. Rieman Surfaces
6. Functions on a Riemann Surface
Chapter
Points at Infinity, H. Behnke and H. Grauert
1. The Usefullness of Points at Infinity
2. Existence and Properties of the Projective Plane
3. The Function-Theoretic Closure of the Euclidian Plane
4. Neighborhoods and Complication
5. Other methods of Closing the Plane
6. Modifications
Chapter 8.
Ordinary Differential Equations, H. Tietz and K Wigand
1. Intorduction
2. Methods of Integration
3. Properties of the Solutions of Explicit Differential Equations
4. Solutions with Special Properties
Chapter 9
Partial Differential Equations, G. Hellwig and H. Liermann
1. Basic Concepts and the Simplest Examples
2. Classification of Partial Differential Equations into Types; Normal Functions
3. Uniqueness Questions
4. Questions of Existence
Chapter 10
Difference Equation and Definite Integrals, H. Meschkowski and K. Reinhard
1. Introduction
2. Simple Difference Equations
3. The T-Function
4. Methods of Solution for Linear Differenc Equations
Chapter 11
Functional Analysis, W. Schmeidler and W. Dreetz
A. Introduction
B. Linear Theory
1. Linear Functionals and Operators
2. Hilbert Space and Banach Space
3. Linear Operations in H
4. Symmetric and Completely Continouous Linear Opertors
5. Spectral Theory of Self-adjoint Operators
6. The Nonlinear Theory
7. The Frechet Differential
7. Fixed Point Theorems
8. Application of the Fixed Point Theorems to Nonlinear Operator Equations
9. More General Nonlinear Integral Equations
Chapter 12
1. Basic Concepts of the Descriptive Theory of Sets and Functions
2. Continous Functions
3. F and G Sets
4. Construction of More Complicted Sets and Functions by Limit Processes
5. Some Interesting Types of Functions
6. Analytic Sets (A-Sets)
7. Questions of Constructibility and Existence
Chapter 13
Analysis and Theory of Numbers, D. Kurepa and B. Schon
1. INvasion of the Theory of Numbers by Analysis
2. Analysis and Questions of Transcendence
3. General Remarks on the Relation between Analysis and Number Theory
Chapter 14
The Changing Structure of Modern Mathematics, G. Kothe and F. Ballier
1. Introduction
2. The Development of th Axiomatic Method in Geometry
3. The Theory of Sets and Mathematical Logic
4. Change in the Attitude Toward Algebra
5. The Axiomatic Method in Analysis
6. Development in Other Mathematical Disciplines
7. Mathematical as a Hierarchy of Structures
8. The Bourbaki Construction of Mathematics