
Stock image for illustration purposes only - book cover, edition or condition may vary.
A First Course in the Calculus of Variations
Mark Kot
€ 90.15
FREE Delivery in Ireland
Description for A First Course in the Calculus of Variations
Paperback. Series: Student Mathematical Library. Num Pages: 298 pages. BIC Classification: PBKJ; PBW. Category: (UP) Postgraduate, Research & Scholarly. Dimension: 216 x 162 x 14. Weight in Grams: 370.
This book is intended for a first course in the calculus of variations, at the senior or beginning graduate level. The reader will learn methods for finding functions that maximize or minimize integrals. The text lays out important necessary and sufficient conditions for extrema in historical order, and it illustrates these conditions with numerous worked-out examples from mechanics, optics, geometry, and other fields.
The exposition starts with simple integrals containing a single independent variable, a single dependent variable, and a single derivative, subject to weak variations, but steadily moves on to more advanced topics, including multivariate problems, constrained extrema, homogeneous problems, problems with variable endpoints, broken extremals, strong variations, and sufficiency conditions. Numerous line drawings clarify the mathematics.
Each chapter ends with recommended readings that introduce the student to the relevant scientific literature and with exercises that consolidate understanding.
The exposition starts with simple integrals containing a single independent variable, a single dependent variable, and a single derivative, subject to weak variations, but steadily moves on to more advanced topics, including multivariate problems, constrained extrema, homogeneous problems, problems with variable endpoints, broken extremals, strong variations, and sufficiency conditions. Numerous line drawings clarify the mathematics.
Each chapter ends with recommended readings that introduce the student to the relevant scientific literature and with exercises that consolidate understanding.
Product Details
Publisher
American Mathematical Society
Format
Paperback
Publication date
2014
Series
Student Mathematical Library
Condition
New
Weight
369g
Number of Pages
298
Place of Publication
Providence, United States
ISBN
9781470414955
SKU
V9781470414955
Shipping Time
Usually ships in 7 to 11 working days
Ref
99-1
About Mark Kot
Mark Kot, University of Washington, Seattle, WA, USA.
Reviews for A First Course in the Calculus of Variations
The author addresses several subtle aspects of the subject that are traditionally not covered in texts that are geared to the interests of applied mathematicians, physicists, and engineers... What distinguishes this book from others is the author's style of introducing each topic with a practical example that serves to motivate the subsequent theory. Rather than presenting a prosaic collection of lemmas and theorems, the author demonstrates the practical need for addressing the more subtle aspects of the theory, which is well suited for an applications-oriented audience. The text also includes historical notes that are fascinating to read." - Joel Storch, IEEE Control Systems Magazine "The text follows the historical development of the subject and offers the reader a mixture of theory, techniques, and applications. This nice book is likely to be especially successful. [The] author has managed admirably to bring to light both the beauty and the usefulness of the calculus of variations in many problems arising in applied sciences, thus creating a beautiful introduction to this field. All the details are included in a way that is both attractive and easy for students to follow." - Zentralblatt Math "This text follows the historical development of the subject and offers the reader a mixture of theory, techniques and applications... The author integrates theory and applications quite deftly with the historical background and gives us a very attractive book. ...The introductory chapter gives a good indication of what's to come: clear writing, a carefully laid out development, well-chosen line drawings, and a thoughtful selection of recommended reading. ...This would serve admirably as the text for a course or as a tool for self-study. The exercises are first rate..." - MAA Reviews "Kot displays more than a pedagogical sensitivity to notation (a traditional pitfall!); he inculcates the appreciation of notational nuance in his readers. Everyone who wants to learn this subject should start by investing the few hours necessary to read this book." - CHOICE