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Calculus And Its Applications by Larry Joel Goldstein

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1NASA Technical Reports Server (NTRS) 19810004275: Development Of Boolean Calculus And Its Applications. [digital Systems Design

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The development of Boolean calculus for its application to developing digital system design methodologies that would reduce system complexity, size, cost, speed, power requirements, etc., is discussed. Synthesis procedures for logic circuits are examined particularly asynchronous circuits using clock triggered flip flops.

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2The Elements Of The Integral Calculus: With Its Applications To Geometry And ...

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Book digitized by Google from the library of the University of Michigan and uploaded to the Internet Archive by user tpb.

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3The Elements Of The Integral Calculus: With Its Applications To Geometry And ...

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Book digitized by Google from the library of Harvard University and uploaded to the Internet Archive by user tpb.

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4Instructor's Resource Manual Calculas And Its Applications Brief Calculus And Its Applications

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5Student's Solutions Manual [to Accompany] Calculus And Its Applications

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6Calculus And Its Applications

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7Study Guide With Selected Solutions : Brief Calculus And Its Applications

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[vii], 240 pages : 26 cm

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8Instructor's Solutions Manual For CALCULUS And ITS APPLICATIONS By Bittenger, Ellenbogen

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[vii], 240 pages : 26 cm

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9Calculus And Its Applications

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[vii], 240 pages : 26 cm

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10Calculus Of Variations And Its Applications

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[vii], 240 pages : 26 cm

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11Calculus And Its Applications

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[vii], 240 pages : 26 cm

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12Calculus And Its Applications Custom Edition For Salt Lake Community College

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[vii], 240 pages : 26 cm

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13A Treatise On The Integral Calculus And Its Applications

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Book digitized by Google from the library of Oxford University and uploaded to the Internet Archive by user tpb.

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14Brief Calculus And Its Applications

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15ERIC ED218104: Price Discrimination And Consumer Surplus. Applications Of Calculus To Economics Modules And Monographs In Undergraduate Mathematics And Its Applications Project. UMAP Unit 294.

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This unit considers the application of calculus in determining price discrimination and consumer surplus in a competitive market. Producer surplus and two-tier price discrimination are also developed in problems. It is noted that calculus cannot usually provide numerical answers for practical economic problems. The importance of calculus applications is seen to be in the contributions made to the development of economic theory. It is felt that the examples developed can provide insight into the theoretical relationships in economics and how calculus is used in their development. Exercises and a model exam are included, with answers provided to both at the end of the material. (MP)

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16Brief Calculus And Its Applications

This unit considers the application of calculus in determining price discrimination and consumer surplus in a competitive market. Producer surplus and two-tier price discrimination are also developed in problems. It is noted that calculus cannot usually provide numerical answers for practical economic problems. The importance of calculus applications is seen to be in the contributions made to the development of economic theory. It is felt that the examples developed can provide insight into the theoretical relationships in economics and how calculus is used in their development. Exercises and a model exam are included, with answers provided to both at the end of the material. (MP)

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17Ricci-calculus An Introduction To Tensor Analysis And Its Geometrical Applications

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This unit considers the application of calculus in determining price discrimination and consumer surplus in a competitive market. Producer surplus and two-tier price discrimination are also developed in problems. It is noted that calculus cannot usually provide numerical answers for practical economic problems. The importance of calculus applications is seen to be in the contributions made to the development of economic theory. It is felt that the examples developed can provide insight into the theoretical relationships in economics and how calculus is used in their development. Exercises and a model exam are included, with answers provided to both at the end of the material. (MP)

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18ERIC ED218111: Elementary Techniques Of Numerical Integration And Their Computer Implementation. Applications Of Elementary Calculus To Computer Science. Modules And Monographs In Undergraduate Mathematics And Its Applications Project. UMAP Unit 379.

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It is noted that there are some integrals which cannot be evaluated by determining an antiderivative, and these integrals must be subjected to other techniques. Numerical integration is one such method; it provides a sum that is an approximate value for some integral types. This module's purpose is to introduce methods of numerical integration and to describe related computer programing techniques for electronically carrying out the calculations. The material is seen to require very little background or knowledge about computers and their use. Exercises are provided at various points. It is expected that users work each of these problems, as they are viewed as essential to a genuine understanding of the ideas developed. (MP)

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  • Language: English

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19A Treatise On Advanced Calculus, Including Those Parts Of The Theory Of Functions Of Real And Complex Variables Which Form The Logical Basis Of The Infinitesimal Analysis And Its Applications To Geometry And Physics

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595 pages

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20Mathematics With Calculus And Its Applications To Management, Life, And Social Sciences 2 Instructor's Guide / Laura L. Kelleher

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[430] S. in getr. Zaehlung

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21Clone Theory: Its Syntax And Semantics, Applications To Universal Algebra, Lambda Calculus And Algebraic Logic

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The primary goal of this paper is to present a unified way to transform the syntax of a logic system into certain initial algebraic structure so that it can be studied algebraically. The algebraic structures which one may choose for this purpose are various clones over a full subcategory of a category. We show that the syntax of equational logic, lambda calculus and first order logic can be represented as clones or right algebras of clones over the set of positive integers. The semantics is then represented by structures derived from left algebras of these clones.

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22Advanced Calculus And Its Applications To The Engineering And Physical Sciences

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The primary goal of this paper is to present a unified way to transform the syntax of a logic system into certain initial algebraic structure so that it can be studied algebraically. The algebraic structures which one may choose for this purpose are various clones over a full subcategory of a category. We show that the syntax of equational logic, lambda calculus and first order logic can be represented as clones or right algebras of clones over the set of positive integers. The semantics is then represented by structures derived from left algebras of these clones.

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23Student's Solutions Manual : Calculus & Its Applications, Twelfth Edition, And Brief Calculus & Its Applications, Twelfth Edition, Larry J. Goldstein [and Others]

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24Study Guide With Selected Solutions Calculus And Its Applications, Fifth Edition

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xi, 0-1--12-20 pages : 24 cm

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25Practical Treatise On The Differential And Integral Calculus With Some Of Its Applications To Mechanics And Astronomy

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26ERIC ED218132: Developing The Fundamental Theorem Of Calculus. Applications Of Calculus To Work, Area, And Distance Problems. [and] Atmospheric Pressure In Relation To Height And Temperature. Applications Of Calculus To Atmospheric Pressure. [and] The Gradient And Some Of Its Applications. Applications Of Multivariate Calculus To Physics. [and] Kepler's Laws And The Inverse Square Law. Applications Of Calculus To Physics. UMAP Units 323, 426, 431, 473.

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This document consists of four units. The first of these views calculus applications to work, area, and distance problems. It is designed to help students gain experience in: 1) computing limits of Riemann sums; 2) computing definite integrals; and 3) solving elementary area, distance, and work problems by integration. The second module views calculus applications to atmospheric pressure. The material is geared to aid pupil understanding of the application of calculus to construct a mathematical model of the atmosphere. The third unit covers applications of multivariate calculus to physics. The user is expected to learn how to compute the Gradient, and to be able to use the Gradient to solve certain practical problems involving steepest ascent. The final module covers calculus applications to physics. The material is designed to instruct pupils how to: 1) be able to handle motion problems in polar coordinates, especially those concerning gravitational interaction; 2) state the relationships between Kepler's Laws and the Inverse Square Law; and 3) discuss the history and thought going into scientific development of an idea and the interaction between experiment and theory, at least in the context of planetary motion. All units include exercises with solutions; the first, third, and fourth provide model exams with answers. (MP)

“ERIC ED218132: Developing The Fundamental Theorem Of Calculus. Applications Of Calculus To Work, Area, And Distance Problems. [and] Atmospheric Pressure In Relation To Height And Temperature. Applications Of Calculus To Atmospheric Pressure. [and] The Gradient And Some Of Its Applications. Applications Of Multivariate Calculus To Physics. [and] Kepler's Laws And The Inverse Square Law. Applications Of Calculus To Physics. UMAP Units 323, 426, 431, 473.” Metadata:

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  • Language: English

“ERIC ED218132: Developing The Fundamental Theorem Of Calculus. Applications Of Calculus To Work, Area, And Distance Problems. [and] Atmospheric Pressure In Relation To Height And Temperature. Applications Of Calculus To Atmospheric Pressure. [and] The Gradient And Some Of Its Applications. Applications Of Multivariate Calculus To Physics. [and] Kepler's Laws And The Inverse Square Law. Applications Of Calculus To Physics. UMAP Units 323, 426, 431, 473.” Subjects and Themes:

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27Elements Of The Integral Calculus; With Its Applications To Geometry And To The Summation Of Infinite Series

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14

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28The Elements Of The Integral Calculus: With Its Applications To Geometry And ...

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29Stochastic Calculus Of Variations For General Lévy Processes And Its Applications To Jump-type SDE's With Non-degenerated Drift

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We consider an SDE in R^m of the type dX(t)=a(X(t))dt+dU(t) with a L\'evy process U and study the problem for the distribution of a solution to be regular in various senses. We do not impose any specific conditions on the L\'evy measure of the noise, and this is the main difference between our method and the known methods by J.Bismut or J.Picard. The main tool in our approach is the stochastic calculus of variations for a L\'evy process, based on the time-stretching transformations of the trajectories. Three problems are solved in this framework. First, we prove that if the drift coefficient a is non-degenerated in an appropriate sense, then the law of the solution to the Cauchy problem for the initial equation is absolutely continuous, as soon as the L\'evy measure of the noise satisfies one of the rather weak intensity conditions, for instance the so-called wide cone condition. Secondly, we provide the sufficient conditions for the density of the distribution of the solution to the Cauchy problem to be smooth in the terms of the family of the so-called order indices of the L\'evy measure of the noise (the drift again is supposed to be non-degenerated). At last, we show that an invariant distribution to the initial equation, if exists, possesses a C^\infty-density provided the drift is non-degenerated and the L\'evy measure of the noise satisfies the wide cone condition.

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30Student's Solutions Manual To Accompany Calculus And Its Applications, Seventh Edition [by] Marvin L. Bittinger

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We consider an SDE in R^m of the type dX(t)=a(X(t))dt+dU(t) with a L\'evy process U and study the problem for the distribution of a solution to be regular in various senses. We do not impose any specific conditions on the L\'evy measure of the noise, and this is the main difference between our method and the known methods by J.Bismut or J.Picard. The main tool in our approach is the stochastic calculus of variations for a L\'evy process, based on the time-stretching transformations of the trajectories. Three problems are solved in this framework. First, we prove that if the drift coefficient a is non-degenerated in an appropriate sense, then the law of the solution to the Cauchy problem for the initial equation is absolutely continuous, as soon as the L\'evy measure of the noise satisfies one of the rather weak intensity conditions, for instance the so-called wide cone condition. Secondly, we provide the sufficient conditions for the density of the distribution of the solution to the Cauchy problem to be smooth in the terms of the family of the so-called order indices of the L\'evy measure of the noise (the drift again is supposed to be non-degenerated). At last, we show that an invariant distribution to the initial equation, if exists, possesses a C^\infty-density provided the drift is non-degenerated and the L\'evy measure of the noise satisfies the wide cone condition.

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31Some Basic Properties Of G-Calculus And Its Applications In Numerical Analysis

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Objective of this paper is to introduce a new type of calculus which will be called G-Calculus based on non-Newtonian calculus introduced by Grossman and Katz \cite{GrossmanKatz}. The basic difference between geometric calculus defined by Grossman and Katz and the present G-calculus is that Grossman took the values of the argument as $x, x+ h, x+2h,...$ but here in G-calculus we take the values as $x, x\oplus h, x\oplus e^2\odot h, x\oplus e^3\odot h....$ This calculus will have great deal with numerical analysis which are discussed in the last section of this paper.

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32Calculus And Its Applications (Custom Edition For Cleveland State University, Volume I)

Objective of this paper is to introduce a new type of calculus which will be called G-Calculus based on non-Newtonian calculus introduced by Grossman and Katz \cite{GrossmanKatz}. The basic difference between geometric calculus defined by Grossman and Katz and the present G-calculus is that Grossman took the values of the argument as $x, x+ h, x+2h,...$ but here in G-calculus we take the values as $x, x\oplus h, x\oplus e^2\odot h, x\oplus e^3\odot h....$ This calculus will have great deal with numerical analysis which are discussed in the last section of this paper.

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33A Treatise On Advanced Calculus, Including Those Parts Of The Theory Of Functions Of Real And Complex Variables Which Form The Logical Basis Of The Infinitesimal Analysis And Its Applications To Geometry And Physics

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Bibliography: p. 585-586

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34Ricci Calculus An Introduction To Tensor Analysis And Its Geometrical Applications

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Bibliography: p. 585-586

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35The Elements Of The Integral Calculus: With Its Applications To Geometry And To The Summation Of ...

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36The Elements Of The Integral Calculus: With Its Applications To Geometry And ...

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37A Text-book Of Mathematical Analysis : The Uniform Calculus And Its Applications

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475 p

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38A Treatise On The Integral Calculus And Its Applications: With Numerous Examples

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39Calculus And Its Applications

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40Calculus And Its Applications

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41Instructor's Resource Manual With Testing Program, Calculus And Its Applications, Second Edition, Brief Calculus And Its Applications, Second Edition [by] Daniel D. Benice

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ix, 384 pages : 28 cm

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42Test Item File, Calculus/Brief Calculus And Its Applications

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ix, 384 pages : 28 cm

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43Calculus And Its Applications

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ix, 384 pages : 28 cm

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44Calculus And Its Applications

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ix, 384 pages : 28 cm

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45Calculus And Its Applications : Expanded Version

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47Calculus And Its Applications

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48ERIC ED221381: The Relationship Between Directional Heading Of An Automobile And Steering Wheel Deflection. Applications Of Calculus To Engineering. Modules And Monographs In Undergraduate Mathematics And Its Applications Project. UMAP Unit 506.

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This document looks at specific applications of calculus to engineering. It is noted that for an automobile traveling at constant speed, the mathematical relationship between the directional heading and the angular deflection of the steering wheel can be calculated with respect to time. An analysis is presented which derives the relationship from basic geometrical and kinematic principles. The derivation is seen as an example of calculus use in the mathematical modeling of dynamic systems. This module contains both exercises and a model exam, with answers provided for both at the conclusion of the document. (MP)

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49Differential Calculus And Its Applications

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This document looks at specific applications of calculus to engineering. It is noted that for an automobile traveling at constant speed, the mathematical relationship between the directional heading and the angular deflection of the steering wheel can be calculated with respect to time. An analysis is presented which derives the relationship from basic geometrical and kinematic principles. The derivation is seen as an example of calculus use in the mathematical modeling of dynamic systems. This module contains both exercises and a model exam, with answers provided for both at the conclusion of the document. (MP)

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50Vector Calculus In Non-Integer Dimensional Space And Its Applications To Fractal Media

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We suggest a generalization of vector calculus for the case of non-integer dimensional space. The first and second orders operations such as gradient, divergence, the scalar and vector Laplace operators for non-integer dimensional space are defined. For simplification we consider scalar and vector fields that are independent of angles. We formulate a generalization of vector calculus for rotationally covariant scalar and vector functions. This generalization allows us to describe fractal media and materials in the framework of continuum models with non-integer dimensional space. As examples of application of the suggested calculus, we consider elasticity of fractal materials (fractal hollow ball and fractal cylindrical pipe with pressure inside and outside), steady distribution of heat in fractal media, electric field of fractal charged cylinder. We solve the correspondent equations for non-integer dimensional space models.

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1Test item file, Calculus/Brief calculus and its applications

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  • First Year Published: 1987
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  • Access Status: Borrowable

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