A New Approach to Magnetohydrodynamic Stability: I. a Practical Stability Concept (Classic Reprint)

A New Approach to Magnetohydrodynamic Stability: I. a Practical Stability Concept (Classic Reprint)
Excerpt from A New Approach to Magnetohydrodynamic Stability: I. A Practical Stability Concept

The problem of magnetohydrodynamic stability, in particular of the diffuse linear pinch, is one of the most extensively investigated subjects in plasma physics. The subject has recently found renewed interest, mainly because of its evident implications for plasma confinement experiments aiming at thermonuclear fusion. An understanding of the basic features involved in stability is clearly crucial to further progress in this field. In this and the accompanying paper we aim at a contribution towards such under standing.

About the Publisher

Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at http://www.forgottenbooks.com

This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.
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Thomas’ Calculus

Thomas
Thomas’ Calculus, Fourteenth Edition, introduces students to the intrinsic beauty of calculus and the power of its applications. For more than half a century, this text has been revered for its clear and precise explanations, thoughtfully chosen examples, superior figures and
time-tested exercise sets.
Features
Strong exercise sets feature a great breadth of problems progressing from skills problems to applied and theoretical problems—to encourage students to think about and practice the concepts until they achieve mastery.
Complete and precise multivariable coverage enhances the connections of multivariable ideas with their single-variable analogues studied earlier in the book.
New to this edition
Updated graphics emphasize clear visualization and mathematical correctness.
New examples and figures have been added throughout all chapters, based on user feedback.
New types of homework exercises, including many geometric in nature, have been added to provide different perspectives and approaches to each topic.
Short URLs have been added to the historical margin notes, allowing students to navigate directly to online information.
New annotations within examples guide the student through the problem solution and emphasize that each step in a mathematical argument is rigorously justified.
Table of Contents
Preface
1. Functions
2. Limits and Continuity
3. Derivatives
4. Applications of Derivatives
5. Integrals
6. Applications of Definite Integrals
7. Transcendental Functions
8. Techniques of Integration
9. First-Order Differential Equations
10. Infinite Sequences and Series
11. Parametric Equations and Polar Coordinates
12. Vectors and the Geometry of Space
13. Vector-Valued Functions and Motion in Space
14. Partial Derivatives
15. Multiple Integrals
16. Integrals and Vector Fields
17. Second-Order Differential Equations (Online)
Appendices
Answers to Odd-Numbered Exercises
Index.
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On Some Problems in the Calculus of Finite Differences (Classic Reprint)

On Some Problems in the Calculus of Finite Differences (Classic Reprint)
Excerpt from On Some Problems in the Calculus of Finite Differences

The terms of the series O(h) Ste. Are equidistant terms of the series &c., so that or the general terms of the two series may be considered the same, except that the variable, in the series uoafi I(I) &c., increases by unity each term while in the series no
About the Publisher

Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at http://www.forgottenbooks.com

This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.
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Introductory Course in Differential Equations: For Students in Classical and Engineering Colleges (Classic Reprint)

Introductory Course in Differential Equations: For Students in Classical and Engineering Colleges (Classic Reprint)
Excerpt from Introductory Course in Differential Equations: For Students in Classical and Engineering Colleges

In many cases in which points are discussed in the brief manner necessary in a work of this kind, references are given where fuller explanations and further developments may be found. These references are made, whenever possi ble, to sources easily accessible to an ordinary student, and especially to the standard treatises, in English, of Boole, Forsyth, and Johnson.

About the Publisher

Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at http://www.forgottenbooks.com

This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.
Buy the book Introductory Course in Differential Equations: For Students in Classical and Engineering Colleges (Classic Reprint) from Ideakart.com.

A Treatise on Dynamics of a Particle: With Numerous Example (Classic Reprint)

A Treatise on Dynamics of a Particle: With Numerous Example (Classic Reprint)
Excerpt from A Treatise on Dynamics of a Particle: With Numerous Example

The last word has not yet been said on these problems. The student finds as he proceeds much left to discover and many new questions to ask.

About the Publisher

Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at http://www.forgottenbooks.com

This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.
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Hyperbolic Functions (Classic Reprint)

Hyperbolic Functions (Classic Reprint)
Excerpt from Hyperbolic Functions

The volume called Higher Mathematics, the first edition of which was published in 1896, contained eleven chapters by eleven authors, each chapter being independent of the others, but all supposing the reader to have at least a mathematical training equivalent to that given in classical and engineering colleges. The publication of that volume is now discontinued and the chapters are issued in separate form. In these reissues it will generally be found that the monographs are enlarged by additional articles or appendices which either amplify the former presentation or record recent advances. This plan of publication has been arranged in order to meet the demand of teachers and the convenience of classes, but it is also thought that it may prove advantageous to readers in special lines of mathematical literature.

It is the intention of the publishers and editors to add other monographs to the series from time to time, if the call for the same seems to warrant it. Among the topics which are under consideration are those of elliptic functions, the theory of num bers, the group theory, the calculus of variations, and non Euclidean geometry; possibly also monographs on branches of astronomy, mechanics, and mathematical physics may be included. It is the hope of the editors that this form of publication may tend to promote mathematical study and research over a wider field than that which the former volume has occupied.

About the Publisher

Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at http://www.forgottenbooks.com

This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.
Buy the book Hyperbolic Functions (Classic Reprint) from Ideakart.com.

Thomas’ Calculus

Thomas
Thomas’ Calculus, Fourteenth Edition, introduces students to the intrinsic beauty of calculus and the power of its applications. For more than half a century, this text has been revered for its clear and precise explanations, thoughtfully chosen examples, superior figures and
time-tested exercise sets.
Features
Strong exercise sets feature a great breadth of problems progressing from skills problems to applied and theoretical problems—to encourage students to think about and practice the concepts until they achieve mastery.
Complete and precise multivariable coverage enhances the connections of multivariable ideas with their single-variable analogues studied earlier in the book.
New to this edition
Updated graphics emphasize clear visualization and mathematical correctness.
New examples and figures have been added throughout all chapters, based on user feedback.
New types of homework exercises, including many geometric in nature, have been added to provide different perspectives and approaches to each topic.
Short URLs have been added to the historical margin notes, allowing students to navigate directly to online information.
New annotations within examples guide the student through the problem solution and emphasize that each step in a mathematical argument is rigorously justified.
Table of Contents
Preface
1. Functions
2. Limits and Continuity
3. Derivatives
4. Applications of Derivatives
5. Integrals
6. Applications of Definite Integrals
7. Transcendental Functions
8. Techniques of Integration
9. First-Order Differential Equations
10. Infinite Sequences and Series
11. Parametric Equations and Polar Coordinates
12. Vectors and the Geometry of Space
13. Vector-Valued Functions and Motion in Space
14. Partial Derivatives
15. Multiple Integrals
16. Integrals and Vector Fields
17. Second-Order Differential Equations (Online)
Appendices
Answers to Odd-Numbered Exercises
Index.
Buy the book Thomas’ Calculus from Ideakart.com.

Hyperbolic Functions (Classic Reprint)

Hyperbolic Functions (Classic Reprint)
Excerpt from Hyperbolic Functions

The volume called Higher Mathematics, the first edition of which was published in 1896, contained eleven chapters by eleven authors, each chapter being independent of the others, but all supposing the reader to have at least a mathematical training equivalent to that given in classical and engineering colleges. The publication of that volume is now discontinued and the chapters are issued in separate form. In these reissues it will generally be found that the monographs are enlarged by additional articles or appendices which either amplify the former presentation or record recent advances. This plan of publication has been arranged in order to meet the demand of teachers and the convenience of classes, but it is also thought that it may prove advantageous to readers in special lines of mathematical literature.

It is the intention of the publishers and editors to add other monographs to the series from time to time, if the call for the same seems to warrant it. Among the topics which are under consideration are those of elliptic functions, the theory of num bers, the group theory, the calculus of variations, and non Euclidean geometry; possibly also monographs on branches of astronomy, mechanics, and mathematical physics may be included. It is the hope of the editors that this form of publication may tend to promote mathematical study and research over a wider field than that which the former volume has occupied.

About the Publisher

Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at http://www.forgottenbooks.com

This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.
Buy the book Hyperbolic Functions (Classic Reprint) from Ideakart.com.

Calculus Workbook For Dummies

Calculus Workbook For Dummies

The easy way to conquer calculus

Calculus is hard no doubt about it and students often need help understanding or retaining the key concepts covered in class. Calculus Workbook For Dummies serves up the concept review and practice problems with an easy–to–follow, practical approach. Plus, you ll get free access to a quiz for every chapter online.

With a wide variety of problems on everything covered in calculus class, you ll find multiple examples of limits, vectors, continuity, differentiation, integration, curve–sketching, conic sections, natural logarithms, and infinite series. Plus, you ll get hundreds of practice opportunities with detailed solutions that will help you master the math that is critical for scoring your highest in calculus.

  • Review key concepts
  • Take hundreds of practice problems
  • Get access to free chapter quizzes online
  • Use as a classroom supplement or with a tutor

Get ready to quickly and easily increase your confidence and improve your skills in calculus. 

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Optimal Consumption and Portfolio Policies When Markets Are Incomplete (Classic Reprint)

Optimal Consumption and Portfolio Policies When Markets Are Incomplete (Classic Reprint)
Excerpt from Optimal Consumption and Portfolio Policies When Markets Are Incomplete

The first question arises from the fact that when M is stictly included in X, only the marketed commodities have their price determined by arbitrage. There is an abundance of price functionals 45 that extend 7r over all of X, and one could choose a priori any one of them. However, one candidate is of special interest to us: it is the (unique) one which is measurable with respect. To the price system, i.e., such that the shadow price of consumption is itself in the price information set. With this particular valuation, it turns out. That a solution 6 to the extended maximization program can always be chosen to be price measurable. And thus marketed. To see this, we have to recall a result from option pricing theory which states that the price of any contingent claim can be written as its expectation under some probability. Let then Q be the probability associated with our choice of the price measurable valuation, and take the conditional expectation of 1? Under Q with respect to the price information set. The new consumption plan is price measurable by construction. In addition, it can be shown that it satisfies the same budget constraint and that it is as least as preferred as 6. But c? Is optimal by assumption, so that it. Should be clear that the two solutions are in fact indifferent, or even identical when the utility function is strictly concave.

Thus. As far as the optimization problem is concerned. There is nothing more than the securities prices themselves that the agent. Needs to observe to devise his optimal strategy. Even in a world endowed with a very rich information structure, only that. Which is contained in the capital markets is relevant to manufacture his Optimal consumption plan. The crux of the argument is that an investor can loose nothing in terms of his expected utility by projecting the whole problem onto the information generated by prices. An intuitive account of how this works can tentatively be given as follows. Since there are infinitely many valuations which give the prices of the contingent claims outside M, the investor may be seen as maximizing his expected utility over the whole consumption space subject to an infinite number of budget constraints. Simply pick the particular valuation which is in the price information set and observe that the corresponding solution (3 is price measurable and thus marketed. Now expected utility can be improved upon only if some of the constraints are slack. But all the valuations agree on M so that all constaints are saturated.

About the Publisher

Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at http://www.forgottenbooks.com

This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.
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