Maxima and Minima with Applications

Maxima and Minima with Applications PDF Author: Wilfred Kaplan
Publisher: John Wiley & Sons
ISBN: 1118031040
Category : Mathematics
Languages : en
Pages : 298

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Book Description
This new work by Wilfred Kaplan, the distinguished author of influential mathematics and engineering texts, is destined to become a classic. Timely, concise, and content-driven, it provides an intermediate-level treatment of maxima, minima, and optimization. Assuming only a background in calculus and some linear algebra, Professor Kaplan presents topics in order of difficulty. In four short chapters, he describes basic concepts and geometric aspects of maxima and minima, progresses to problems with side conditions, introduces optimization and programming, and concludes with an in-depth discussion of research topics involving the duality theorems of Fenchel and Rockafellar. Throughout the text, the subject of convexity is gradually developed-from its theoretical underpinnings to problems, and finally, to its role in applications. Other features include: * A strong emphasis on practical applications of maxima and minima * An impressive array of supporting topics such as numerical analysis * An ample number of examples and problems * More than 60 illustrations highlighting the text * Algorithms to reinforce concepts * An appendix reviewing the prerequisite linear algebra Maxima and Minima with Applications is an ideal text for upper-undergraduate and graduate students taking courses in operations research, management, general engineering, and applied mathematics. It can also be used to supplement courses on linear and nonlinear optimization. This volume's broad scope makes it an excellent reference for professionals wishing to learn more about cutting-edge topics in optimization and mathematical programming.

Maxima and Minima with Applications

Maxima and Minima with Applications PDF Author: Wilfred Kaplan
Publisher: John Wiley & Sons
ISBN: 1118031040
Category : Mathematics
Languages : en
Pages : 298

Get Book Here

Book Description
This new work by Wilfred Kaplan, the distinguished author of influential mathematics and engineering texts, is destined to become a classic. Timely, concise, and content-driven, it provides an intermediate-level treatment of maxima, minima, and optimization. Assuming only a background in calculus and some linear algebra, Professor Kaplan presents topics in order of difficulty. In four short chapters, he describes basic concepts and geometric aspects of maxima and minima, progresses to problems with side conditions, introduces optimization and programming, and concludes with an in-depth discussion of research topics involving the duality theorems of Fenchel and Rockafellar. Throughout the text, the subject of convexity is gradually developed-from its theoretical underpinnings to problems, and finally, to its role in applications. Other features include: * A strong emphasis on practical applications of maxima and minima * An impressive array of supporting topics such as numerical analysis * An ample number of examples and problems * More than 60 illustrations highlighting the text * Algorithms to reinforce concepts * An appendix reviewing the prerequisite linear algebra Maxima and Minima with Applications is an ideal text for upper-undergraduate and graduate students taking courses in operations research, management, general engineering, and applied mathematics. It can also be used to supplement courses on linear and nonlinear optimization. This volume's broad scope makes it an excellent reference for professionals wishing to learn more about cutting-edge topics in optimization and mathematical programming.

Geometric Problems on Maxima and Minima

Geometric Problems on Maxima and Minima PDF Author: Titu Andreescu
Publisher: Springer Science & Business Media
ISBN: 0817644733
Category : Mathematics
Languages : en
Pages : 273

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Book Description
Presents hundreds of extreme value problems, examples, and solutions primarily through Euclidean geometry Unified approach to the subject, with emphasis on geometric, algebraic, analytic, and combinatorial reasoning Applications to physics, engineering, and economics Ideal for use at the junior and senior undergraduate level, with wide appeal to students, teachers, professional mathematicians, and puzzle enthusiasts

Theory of Maxima and Minima

Theory of Maxima and Minima PDF Author: Harris Hancock
Publisher:
ISBN:
Category : Maxima and minima
Languages : en
Pages : 218

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Book Description


Maxima and Minima

Maxima and Minima PDF Author: R. Frisch
Publisher: Springer Science & Business Media
ISBN: 9401764085
Category : Business & Economics
Languages : en
Pages : 188

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Book Description


Maxima and Minima Without Calculus

Maxima and Minima Without Calculus PDF Author: Ivan Niven
Publisher: Cambridge University Press
ISBN: 9780883853061
Category : Mathematics
Languages : en
Pages : 328

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Book Description
Describes techniques for solving problems in maxima and minima other than the methods of calculus.

How to Construct Graphs

How to Construct Graphs PDF Author: Georgiĭ Evgenʹevich Shilov
Publisher:
ISBN:
Category : Graphic methods
Languages : en
Pages : 72

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Book Description


Introduction to Applied Linear Algebra

Introduction to Applied Linear Algebra PDF Author: Stephen Boyd
Publisher: Cambridge University Press
ISBN: 1316518965
Category : Business & Economics
Languages : en
Pages : 477

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Book Description
A groundbreaking introduction to vectors, matrices, and least squares for engineering applications, offering a wealth of practical examples.

Optimization Theory with Applications

Optimization Theory with Applications PDF Author: Donald A. Pierre
Publisher: Courier Corporation
ISBN: 0486136957
Category : Mathematics
Languages : en
Pages : 644

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Book Description
Broad-spectrum approach to important topic. Explores the classic theory of minima and maxima, classical calculus of variations, simplex technique and linear programming, optimality and dynamic programming, more. 1969 edition.

A treatise on the differential calculus, and its application to geometry

A treatise on the differential calculus, and its application to geometry PDF Author: Bartholomew Price
Publisher:
ISBN:
Category :
Languages : en
Pages : 310

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Book Description


Optimization

Optimization PDF Author: Jan Brinkhuis
Publisher: Princeton University Press
ISBN: 1400829364
Category : Mathematics
Languages : en
Pages : 683

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Book Description
This self-contained textbook is an informal introduction to optimization through the use of numerous illustrations and applications. The focus is on analytically solving optimization problems with a finite number of continuous variables. In addition, the authors provide introductions to classical and modern numerical methods of optimization and to dynamic optimization. The book's overarching point is that most problems may be solved by the direct application of the theorems of Fermat, Lagrange, and Weierstrass. The authors show how the intuition for each of the theoretical results can be supported by simple geometric figures. They include numerous applications through the use of varied classical and practical problems. Even experts may find some of these applications truly surprising. A basic mathematical knowledge is sufficient to understand the topics covered in this book. More advanced readers, even experts, will be surprised to see how all main results can be grounded on the Fermat-Lagrange theorem. The book can be used for courses on continuous optimization, from introductory to advanced, for any field for which optimization is relevant.