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| technical calculus with analytic geometry judith l gersting: Technical Calculus with Analytic Geometry Judith L. Gersting, 2012-06-14 Well-conceived text with many special features covers functions and graphs, straight lines and conic sections, new coordinate systems, the derivative, much more. Many examples, exercises, practice problems, with answers. Advanced undergraduate/graduate-level. 1984 edition. |
| technical calculus with analytic geometry judith l gersting: Technical Calculus with Analytic Geometry Judith L. Gersting, 1984-01-01 Covers functions and graphs, straight lines and conic sections, new coordinate systems, the derivative, much more. Many examples, exercises, practice problems, with answers. 1984 edition. |
| technical calculus with analytic geometry judith l gersting: Modern Nonlinear Equations Thomas L. Saaty, 2012-04-26 Covers major types of classical equations: operator, functional, difference, integro-differential, and more. Suitable for graduate students as well as scientists, technologists, and mathematicians. A welcome contribution. — Math Reviews. 1964 edition. |
| technical calculus with analytic geometry judith l gersting: Galois Theory Emil Artin, 2012-05-24 Clearly presented discussions of fields, vector spaces, homogeneous linear equations, extension fields, polynomials, algebraic elements, as well as sections on solvable groups, permutation groups, solution of equations by radicals, and other concepts. 1966 edition. |
| technical calculus with analytic geometry judith l gersting: Advanced Calculus David V. Widder, 2012-05-23 Classic text offers exceptionally precise coverage of partial differentiation, vectors, differential geometry, Stieltjes integral, infinite series, gamma function, Fourier series, Laplace transform, much more. Includes exercises and selected answers. |
| technical calculus with analytic geometry judith l gersting: Partial Differential Equations of Mathematical Physics and Integral Equations Ronald B. Guenther, John W. Lee, 2012-09-19 Superb treatment for math and physical science students discusses modern mathematical techniques for setting up and analyzing problems. Discusses partial differential equations of the 1st order, elementary modeling, potential theory, parabolic equations, more. 1988 edition. |
| technical calculus with analytic geometry judith l gersting: Statistical Optimization for Geometric Computation Kenichi Kanatani, 2005-07-26 This text for graduate students discusses the mathematical foundations of statistical inference for building three-dimensional models from image and sensor data that contain noise--a task involving autonomous robots guided by video cameras and sensors. The text employs a theoretical accuracy for the optimization procedure, which maximizes the reliability of estimations based on noise data. The numerous mathematical prerequisites for developing the theories are explained systematically in separate chapters. These methods range from linear algebra, optimization, and geometry to a detailed statistical theory of geometric patterns, fitting estimates, and model selection. In addition, examples drawn from both synthetic and real data demonstrate the insufficiencies of conventional procedures and the improvements in accuracy that result from the use of optimal methods. |
| technical calculus with analytic geometry judith l gersting: Matrices and Linear Algebra Hans Schneider, George Phillip Barker, 2012-06-08 Linear algebra is one of the central disciplines in mathematics. A student of pure mathematics must know linear algebra if he is to continue with modern algebra or functional analysis. Much of the mathematics now taught to engineers and physicists requires it. This well-known and highly regarded text makes the subject accessible to undergraduates with little mathematical experience. Written mainly for students in physics, engineering, economics, and other fields outside mathematics, the book gives the theory of matrices and applications to systems of linear equations, as well as many related topics such as determinants, eigenvalues, and differential equations. Table of Contents: l. The Algebra of Matrices 2. Linear Equations 3. Vector Spaces 4. Determinants 5. Linear Transformations 6. Eigenvalues and Eigenvectors 7. Inner Product Spaces 8. Applications to Differential Equations For the second edition, the authors added several exercises in each chapter and a brand new section in Chapter 7. The exercises, which are both true-false and multiple-choice, will enable the student to test his grasp of the definitions and theorems in the chapter. The new section in Chapter 7 illustrates the geometric content of Sylvester's Theorem by means of conic sections and quadric surfaces. 6 line drawings. lndex. Two prefaces. Answer section. |
| technical calculus with analytic geometry judith l gersting: Partial Differential Equations of Mathematical Physics S. L. Sobolev, 1964-01-01 This volume presents an unusually accessible introduction to equations fundamental to the investigation of waves, heat conduction, hydrodynamics, and other physical problems. Topics include derivation of fundamental equations, Riemann method, equation of heat conduction, theory of integral equations, Green's function, and much more. The only prerequisite is a familiarity with elementary analysis. 1964 edition. |
| technical calculus with analytic geometry judith l gersting: Infinite Sequences and Series Konrad Knopp, 2012-09-14 Careful presentation of fundamentals of the theory by one of the finest modern expositors of higher mathematics. Covers functions of real and complex variables, arbitrary and null sequences, convergence and divergence, Cauchy's limit theorem, more. |
| technical calculus with analytic geometry judith l gersting: Harmonic Analysis and the Theory of Probability Salomon Bochner, 2013-11-07 Written by a distinguished mathematician and educator, this classic text emphasizes stochastic processes and the interchange of stimuli between probability and analysis. It also introduces the author's innovative concept of the characteristic functional. 1955 edition. |
| technical calculus with analytic geometry judith l gersting: The Skeleton Key of Mathematics D. E. Littlewood, 2013-12-31 Straightforward explanation of abstract principles common to science and math, including Euclid's algorithm; congruences; polynomials; complex numbers and algebraic fields; algebraic integers, ideals, and p-adic numbers; groups; Galois theory; algebraic geometry; more. |
| technical calculus with analytic geometry judith l gersting: Integral Equations Francesco Giacomo Tricomi, 1985-03-01 Authoritative, well-written treatment of extremely useful mathematical tool with wide applications. Topics include Volterra Equations, Fredholm Equations, Symmetric Kernels and Orthogonal Systems of Functions, more. Advanced undergraduate to graduate level. Exercises. Bibliography. |
| technical calculus with analytic geometry judith l gersting: Elementary Theory of Numbers William Judson LeVeque, 1990-06-01 Superb introduction to Euclidean algorithm and its consequences, congruences, continued fractions, powers of an integer modulo m, Gaussian integers, Diophantine equations, more. Problems, with answers. Bibliography. |
| technical calculus with analytic geometry judith l gersting: Differential Forms with Applications to the Physical Sciences Harley Flanders, 1963-01-01 Introduces the use of exterior differential forms as a powerful took in the analysis of a variety of mathematical problems in the physical and engineering sciences. |
| technical calculus with analytic geometry judith l gersting: Ordinary Differential Equations in the Complex Domain Einar Hille, 1997-01-01 Graduate-level text offers full treatments of existence theorems, representation of solutions by series, theory of majorants, dominants and minorants, questions of growth, much more. Includes 675 exercises. Bibliography. |
| technical calculus with analytic geometry judith l gersting: First Course in Mathematical Logic Patrick Suppes, Shirley Hill, 2012-04-30 Rigorous introduction is simple enough in presentation and context for wide range of students. Symbolizing sentences; logical inference; truth and validity; truth tables; terms, predicates, universal quantifiers; universal specification and laws of identity; more. |
| technical calculus with analytic geometry judith l gersting: A Survey of Matrix Theory and Matrix Inequalities Marvin Marcus, Henryk Minc, 1992-01-01 Concise, masterly survey of a substantial part of modern matrix theory introduces broad range of ideas involving both matrix theory and matrix inequalities. Also, convexity and matrices, localization of characteristic roots, proofs of classical theorems and results in contemporary research literature, more. Undergraduate-level. 1969 edition. Bibliography. |
| technical calculus with analytic geometry judith l gersting: Linear Programming and Economic Analysis Robert Dorfman, Paul A. Samuelson, Robert M. Solow, 2012-10-10 Designed primarily for economists and those interested in management economics who are not necessarily accomplished mathematicians, this text offers a clear, concise exposition of the relationship of linear programming to standard economic analysis. The research and writing were supported by The RAND Corporation in the late 1950s. Linear programming has been one of the most important postwar developments in economic theory, but until publication of the present volume, no text offered a comprehensive treatment of the many facets of the relationship of linear programming to traditional economic theory. This book was the first to provide a wide-ranging survey of such important aspects of the topic as the interrelations between the celebrated von Neumann theory of games and linear programming, and the relationship between game theory and the traditional economic theories of duopoly and bilateral monopoly. Modern economists will especially appreciate the treatment of the connection between linear programming and modern welfare economics and the insights that linear programming gives into the determinateness of Walrasian equilibrium. The book also offers an excellent introduction to the important Leontief theory of input-output as well as extensive treatment of the problems of dynamic linear programming. Successfully used for three decades in graduate economics courses, this book stresses practical problems and specifies important concrete applications. |
| technical calculus with analytic geometry judith l gersting: A Mathematical History of the Golden Number Roger Herz-Fischler, 2013-12-31 This comprehensive study traces the historic development of division in extreme and mean ratio (the golden number) from its first appearance in Euclid's Elements through the 18th century. Features numerous illustrations. |
| technical calculus with analytic geometry judith l gersting: Theory and Application of Infinite Series Konrad Knopp, 1990-01-01 This unusually clear and interesting classic offers a thorough and reliable treatment of an important branch of higher analysis. The work covers real numbers and sequences, foundations of the theory of infinite series, and development of the theory (series of valuable terms, Euler's summation formula, asymptotic expansions, and other topics). Exercises throughout. Ideal for self-study. |
| technical calculus with analytic geometry judith l gersting: Variational Analysis Marston Morse, 2013-02-27 This text presents extended separation, comparison, and oscillation theorems that replace classical analysis. Its analysis of related quadratic functionals shows how critical extremals can substitute for minimizing extremals. 1973 edition. |
| technical calculus with analytic geometry judith l gersting: Game Theory Morton D. Davis, 2012-05-11 This fascinating, newly revised edition offers an overview of game theory, plus lucid coverage of two-person zero-sum game with equilibrium points; general, two-person zero-sum game; utility theory; and other topics. |
| technical calculus with analytic geometry judith l gersting: Handbook of Mathematical Functions Milton Abramowitz, Irene A. Stegun, 1965-01-01 An extensive summary of mathematical functions that occur in physical and engineering problems |
| technical calculus with analytic geometry judith l gersting: Introduction to the Theory of Games J. C. C. McKinsey, 2012-11-14 This comprehensive overview of the mathematical theory of games illustrates applications to situations involving conflicts of interest, including economic, social, political, and military contexts. Advanced calculus a prerequisite. Includes 51 figures and 8 tables. 1952 edition. |
| technical calculus with analytic geometry judith l gersting: Theory of Games and Statistical Decisions David A. Blackwell, M. A. Girshick, 2012-06-14 Evaluating statistical procedures through decision and game theory, as first proposed by Neyman and Pearson and extended by Wald, is the goal of this problem-oriented text in mathematical statistics. First-year graduate students in statistics and other students with a background in statistical theory and advanced calculus will find a rigorous, thorough presentation of statistical decision theory treated as a special case of game theory. The work of Borel, von Neumann, and Morgenstern in game theory, of prime importance to decision theory, is covered in its relevant aspects: reduction of games to normal forms, the minimax theorem, and the utility theorem. With this introduction, Blackwell and Professor Girshick look at: Values and Optimal Strategies in Games; General Structure of Statistical Games; Utility and Principles of Choice; Classes of Optimal Strategies; Fixed Sample-Size Games with Finite Ω and with Finite A; Sufficient Statistics and the Invariance Principle; Sequential Games; Bayes and Minimax Sequential Procedures; Estimation; and Comparison of Experiments. A few topics not directly applicable to statistics, such as perfect information theory, are also discussed. Prerequisites for full understanding of the procedures in this book include knowledge of elementary analysis, and some familiarity with matrices, determinants, and linear dependence. For purposes of formal development, only discrete distributions are used, though continuous distributions are employed as illustrations. The number and variety of problems presented will be welcomed by all students, computer experts, and others using statistics and game theory. This comprehensive and sophisticated introduction remains one of the strongest and most useful approaches to a field which today touches areas as diverse as gambling and particle physics. |
| technical calculus with analytic geometry judith l gersting: Differential Topology David B. Gauld, 2013-07-24 This text covers topological spaces and properties, some advanced calculus, differentiable manifolds, orientability, submanifolds and an embedding theorem, tangent spaces, vector fields and integral curves, Whitney's embedding theorem, more. Includes 88 helpful illustrations. 1982 edition. |
| technical calculus with analytic geometry judith l gersting: Nonlinear Programming Mordecai Avriel, 2003-01-01 This overview provides a single-volume treatment of key algorithms and theories. Begins with the derivation of optimality conditions and discussions of convex programming, duality, generalized convexity, and analysis of selected nonlinear programs, and then explores techniques for numerical solutions and unconstrained optimization methods. 1976 edition. Includes 58 figures and 7 tables. |
| technical calculus with analytic geometry judith l gersting: Differential Games Avner Friedman, 2013-06-06 Graduate-level text surveys games of fixed duration, games of pursuit and evasion, the computation of saddle points, games of survival, games with restricted phase coordinates, and N-person games. 1971 edition. |
| technical calculus with analytic geometry judith l gersting: Greek Mathematical Thought and the Origin of Algebra Jacob Klein, 2013-04-22 Important study focuses on the revival and assimilation of ancient Greek mathematics in the 13th-16th centuries, via Arabic science, and the 16th-century development of symbolic algebra. 1968 edition. Bibliography. |
| technical calculus with analytic geometry judith l gersting: An Introduction to Stability Theory Anand Pillay, 2013-05-17 This introductory treatment covers the basic concepts and machinery of stability theory. Lemmas, corollaries, proofs, and notes assist readers in working through and understanding the material and applications. Full of examples, theorems, propositions, and problems, it is suitable for graduate students in logic and mathematics, professional mathematicians, and computer scientists. Chapter 1 introduces the notions of definable type, heir, and coheir. A discussion of stability and order follows, along with definitions of forking that follow the approach of Lascar and Poizat, plus a consideration of forking and the definability of types. Subsequent chapters examine superstability, dividing and ranks, the relation between types and sets of indiscernibles, and further properties of stable theories. The text concludes with proofs of the theorems of Morley and Baldwin-Lachlan and an extension of dimension theory that incorporates orthogonality of types in addition to regular types. |
| technical calculus with analytic geometry judith l gersting: Continued Fractions Aleksandr I?Akovlevich Khinchin, Herbert Eagle, 1997-05-14 Elementary-level text by noted Soviet mathematician offers superb introduction to positive-integral elements of theory of continued fractions. Clear, straightforward presentation of the properties of the apparatus, the representation of numbers by continued fractions, and the measure theory of continued fractions. 1964 edition. Prefaces. |
| technical calculus with analytic geometry judith l gersting: Iterative Solution of Large Linear Systems David M. Young, 2013-07-24 Includes a review of matrix theory and iterative methods; successive overrelaxation (SOR) method and stationary modified SOR method for consistently ordered matrices; nonstationary methods; generalizations of SOR theory and variants of method; more. 1971 edition. |
| technical calculus with analytic geometry judith l gersting: Elementary Real and Complex Analysis Georgi E. Shilov, Georgij Evgen'evi? Šilov, Richard A. Silverman, 1996-01-01 Excellent undergraduate-level text offers coverage of real numbers, sets, metric spaces, limits, continuous functions, much more. Each chapter contains a problem set with hints and answers. 1973 edition. |
| technical calculus with analytic geometry judith l gersting: The Philosophy of Set Theory Mary Tiles, 2004-01-01 A century ago, Georg Cantor demonstrated the possibility of a series of transfinite infinite numbers. His methods, unorthodox for the time, enabled him to derive theorems that established a mathematical reality for a hierarchy of infinities. Cantor's innovation was opposed, and ignored, by the establishment; years later, the value of his work was recognized and appreciated as a landmark in mathematical thought, forming the beginning of set theory and the foundation for most of contemporary mathematics. As Cantor's sometime collaborator, David Hilbert, remarked, No one will drive us from the paradise that Cantor has created. This volume offers a guided tour of modern mathematics' Garden of Eden, beginning with perspectives on the finite universe and classes and Aristotelian logic. Author Mary Tiles further examines permutations, combinations, and infinite cardinalities; numbering the continuum; Cantor's transfinite paradise; axiomatic set theory; logical objects and logical types; and independence results and the universe of sets. She concludes with views of the constructs and reality of mathematical structure. Philosophers with only a basic grounding in mathematics, as well as mathematicians who have taken only an introductory course in philosophy, will find an abundance of intriguing topics in this text, which is appropriate for undergraduate-and graduate-level courses. |
| technical calculus with analytic geometry judith l gersting: The Theory of Remainders Andrea Rothbart, 2012-12-04 An imaginative introduction to number theory and abstract algebra, this unique approach employs a pair of fictional characters whose dialogues explain theories and demonstrate applications in terms of football scoring, chess moves, and more. |
| technical calculus with analytic geometry judith l gersting: Computability and Unsolvability Martin Davis, 2013-04-16 Classic graduate-level introduction to theory of computability. Discusses general theory of computability, computable functions, operations on computable functions, Turing machines self-applied, unsolvable decision problems, applications of general theory, mathematical logic, Kleene hierarchy, more. |
| technical calculus with analytic geometry judith l gersting: Matrices and Transformations Anthony J. Pettofrezzo, 1978-06-01 This book presents an elementary and concrete approach to linear algebra that is both useful and essential for the beginning student and teacher of mathematics. Here are the fundamental concepts of matrix algebra, first in an intuitive framework and then in a more formal manner. A Variety of interpretations and applications of the elements and operations considered are included. In particular, the use of matrices in the study of transformations of the plane is stressed. The purpose of this book is to familiarize the reader with the role of matrices in abstract algebraic systems, and to illustrate its effective use as a mathematical tool in geometry. The first two chapters cover the basic concepts of matrix algebra that are important in the study of physics, statistics, economics, engineering, and mathematics. Matrices are considered as elements of an algebra. The concept of a linear transformation of the plane and the use of matrices in discussing such transformations are illustrated in Chapter #. Some aspects of the algebra of transformations and its relation to the algebra of matrices are included here. The last chapter on eigenvalues and eigenvectors contains material usually not found in an introductory treatment of matrix algebra, including an application of the properties of eigenvalues and eigenvectors to the study of the conics. Considerable attention has been paid throughout to the formulation of precise definitions and statements of theorems. The proofs of most of the theorems are included in detail in this book. Matrices and Transformations assumes only that the reader has some understanding of the basic fundamentals of vector algebra. Pettofrezzo gives numerous illustrative examples, practical applications, and intuitive analogies. There are many instructive exercises with answers to the odd-numbered questions at the back. The exercises range from routine computations to proofs of theorems that extend the theory of the subject. Originally written for a series concerned with the mathematical training of teachers, and tested with hundreds of college students, this book can be used as a class or supplementary text for enrichments programs at the high school level, a one-semester college course, individual study, or for in-service programs. |
| technical calculus with analytic geometry judith l gersting: Elements of the Theory of Functions and Functional Analysis Andre? Nikolaevich Kolmogorov, Serge? Vasil?evich Fomin, S. V. Fomin, 1999-01-01 Advanced-level text, now available in a single volume, discusses metric and normed spaces, continuous curves in metric spaces, measure theory, Lebesque intervals, Hilbert space, more. Exercises. 1957 edition. |
| technical calculus with analytic geometry judith l gersting: Differential Games Rufus Isaacs, 2012-04-26 Definitive work draws on game theory, calculus of variations, and control theory to solve an array of problems: military, pursuit and evasion, athletic contests, many more. Detailed examples, formal calculations. 1965 edition. |
TECHNICAL Definition & Meaning - Merriam-Webster
The meaning of TECHNICAL is having special and usually practical knowledge especially of a mechanical or scientific subject. How to use technical in a sentence.
TECHNICAL | English meaning - Cambridge Dictionary
TECHNICAL definition: 1. relating to the knowledge, machines, or methods used in science and industry: 2. relating to…. Learn more.
TECHNICAL Definition & Meaning | Dictionary.com
Technical definition: belonging or pertaining to an art, science, or the like.. See examples of TECHNICAL used in a sentence.
Technical - definition of technical by The Free Dictionary
Having or demonstrating special skill or practical knowledge especially in a mechanical or scientific field: a technical adviser; technical expertise in digital photography.
What Is a Technical Degree? Types, Benefits, and Careers
3 days ago · A technical degree is a program that focuses on hands-on, career-specific training rather than broad academic theory. It’s built to prepare students for skilled jobs in industries …
TECHNICAL definition and meaning | Collins English Dictionary
You use technical to describe the practical skills and methods used to do an activity such as an art, a craft, or a sport. Their technical ability is exceptional. In the realm of sculpture too, the …
technical - WordReference.com Dictionary of English
belonging or pertaining to an art, science, or the like: technical skill. peculiar to or characteristic of a particular art, science, profession, trade, etc.: technical details. using terminology or treating …
Technical Definition & Meaning | YourDictionary
Having or demonstrating special skill or practical knowledge especially in a mechanical or scientific field. A technical adviser; technical expertise in digital photography.
What does technical mean? - Definitions.net
Technical refers to skills, activities, methods, processes, information, or aspects that are related to a particular subject, discipline, or profession. It often involves specialized knowledge or …
TECHNICAL Synonyms: 35 Similar and Opposite Words - Merriam-Webster
Synonyms for TECHNICAL: specialized, limited, special, specific, esoteric, restricted, professional, unique; Antonyms of TECHNICAL: general, nontechnical, ordinary, common, …
TECHNICAL Definition & Meaning - Merriam-Webster
The meaning of TECHNICAL is having special and usually practical knowledge especially of a mechanical or scientific subject. How to use technical in a sentence.
TECHNICAL | English meaning - Cambridge Dictionary
TECHNICAL definition: 1. relating to the knowledge, machines, or methods used in science and industry: 2. relating to…. Learn more.
TECHNICAL Definition & Meaning | Dictionary.com
Technical definition: belonging or pertaining to an art, science, or the like.. See examples of TECHNICAL used in a sentence.
Technical - definition of technical by The Free Dictionary
Having or demonstrating special skill or practical knowledge especially in a mechanical or scientific field: a technical adviser; technical expertise in digital photography.
What Is a Technical Degree? Types, Benefits, and Careers
3 days ago · A technical degree is a program that focuses on hands-on, career-specific training rather than broad academic theory. It’s built to prepare students for skilled jobs in industries that …
TECHNICAL definition and meaning | Collins English Dictionary
You use technical to describe the practical skills and methods used to do an activity such as an art, a craft, or a sport. Their technical ability is exceptional. In the realm of sculpture too, the …
technical - WordReference.com Dictionary of English
belonging or pertaining to an art, science, or the like: technical skill. peculiar to or characteristic of a particular art, science, profession, trade, etc.: technical details. using terminology or treating …
Technical Definition & Meaning | YourDictionary
Having or demonstrating special skill or practical knowledge especially in a mechanical or scientific field. A technical adviser; technical expertise in digital photography.
What does technical mean? - Definitions.net
Technical refers to skills, activities, methods, processes, information, or aspects that are related to a particular subject, discipline, or profession. It often involves specialized knowledge or expertise …
TECHNICAL Synonyms: 35 Similar and Opposite Words - Merriam-Webster
Synonyms for TECHNICAL: specialized, limited, special, specific, esoteric, restricted, professional, unique; Antonyms of TECHNICAL: general, nontechnical, ordinary, common, overall, generic, …
