Tìm tài liệu

Calculus Of Variations With Applications To Physics And Engineering

Calculus Of Variations With Applications To Physics And Engineering

Upload bởi: trungkienpx

Mã tài liệu: 200703

Số trang: 344

Định dạng: djvu

Dung lượng file:

Chuyên mục: Khoa học công nghệ

Đến trang tải tài liệu này

Info

PREFACE: There seems to have been published, up to the present time, no English language volume in which an elementary introduction to the calculus of variations is followed by extensive application of the subject to problems of physics and theoretical engineering. The present volume is offered as partial fulfillment of the need for such a book. Thus its chief purpose is twofold : ( i) To provide for the senior or first-year graduate student in mathe matics, science, or engineering an introduction to the ideas and techniques of the calculus of variations. ( The material of the first seven chapters with selected topics from the later chapters has been used several times as the subject matter of a 10-week course in the Mathematics Department at Stanford University.) ( ii) To illustrate the application of the calculus of variations in several fields outside the realm of pure mathematics. ( By far the greater emphasis is placed upon this second aspect of the book's purpose.) The range of topics considered may be determined at a glance in the table of contents. Mention here of some of the more significant omis sions may be pertinent: The vague, mechanical d method is avoided throughout. Thus, while no advantage is taken of a sometimes convenient shorthand tactic, there is eliminated a source of confusion which often grips the careful student when confronted with its use. No attempt is made to treat problems of sufficiency or existence: no consideration is taken of the second variation or of the conditions of Legendrc, Jacobi, and Weicrstrass. Besides being outside the scope of the chief aim of this book, these matters are excellently treated in the volumes of Bolza and Bliss listed in the Bibliography. Expansion theorems for the eigenfunctions associated with certain boundary-value problems are stated without proof. The proofs, beyond the scope of this volume, can be constructed, in most instances, on the basis of the theory of integral equations. Space limitations prevent inclusion of such topics as perturbation theory, heat flow, hydrodynamics, torsion and buckling of bars, Schwingcr's treatment of atomic scattering, and others. However, the reader who has mastered the essence of the material included should have little difficulty in applying the calculus of variations to most of the subjects which have been squeezed out.
Product Details
Hardcover: 344 pages
Publisher: Weinstock Press (November 4, 2008)
Language: English
ISBN-10: 1443728810
ISBN-13: 978-1443728812
Product Dimensions: 8.7 x 5.6 x 1.1 inches

GỢI Ý

Những tài liệu gần giống với tài liệu bạn đang xem

Physics and Applications of Graphene Experiments

Physics and Applications of Graphene ...

Upload: tuan_h12000

📎 Số trang: 550
👁 Lượt xem: 520
⬇ Lượt tải: 17

XEM TÀI LIỆU
Physics and Applications of Graphene Theory

Physics and Applications of Graphene Theory

Upload: truclybabylove

📎 Số trang: 544
👁 Lượt xem: 427
⬇ Lượt tải: 17

XEM TÀI LIỆU
Determinants and Their Applications in Mathematical Physics

Determinants and Their Applications in ...

Upload: yuna_tb

📎 Số trang: 393
👁 Lượt xem: 533
⬇ Lượt tải: 16

XEM TÀI LIỆU
Mathematical Methods in Physics and Engineering with Mathematica

Mathematical Methods in Physics and ...

Upload: havuck1976

📎 Số trang: 352
👁 Lượt xem: 442
⬇ Lượt tải: 16

XEM TÀI LIỆU
Principles and Applications of Electrical Engineering

Principles and Applications of Electrical ...

Upload: tuyen_phamquang2001

📎 Số trang: 964
👁 Lượt xem: 462
⬇ Lượt tải: 16

XEM TÀI LIỆU
Introduction to Simulink with Engineering Applications

Introduction to Simulink with Engineering ...

Upload: hana_bin9x

📎 Số trang: 572
👁 Lượt xem: 409
⬇ Lượt tải: 17

XEM TÀI LIỆU
Biomedical Engineering From Theory to Applications

Biomedical Engineering From Theory to ...

Upload: TA4alivingnow

📎 Số trang: 498
👁 Lượt xem: 483
⬇ Lượt tải: 16

XEM TÀI LIỆU
Solid State Physics Principles and Modern Applications

Solid State Physics Principles and Modern ...

Upload: ors_68

📎 Số trang: 537
👁 Lượt xem: 350
⬇ Lượt tải: 16

XEM TÀI LIỆU
Applications of Monte Carlo Method in Science and Engineering

Applications of Monte Carlo Method in ...

Upload: cavico7777

📎 Số trang: 964
👁 Lượt xem: 705
⬇ Lượt tải: 18

XEM TÀI LIỆU
Advanced Applications of Rapid Prototyping Technology in Modern Engineering

Advanced Applications of Rapid Prototyping ...

Upload: dohoangnguyen1978

📎 Số trang: 374
👁 Lượt xem: 398
⬇ Lượt tải: 16

XEM TÀI LIỆU
Physics

Physics

Upload: luvlipig

📎 Số trang: 508
👁 Lượt xem: 441
⬇ Lượt tải: 16

XEM TÀI LIỆU
Physics of the Earth

Physics of the Earth

Upload: wave110i

📎 Số trang: 527
👁 Lượt xem: 300
⬇ Lượt tải: 16

XEM TÀI LIỆU

QUAN TÂM

Những tài liệu bạn đã xem

Calculus Of Variations With Applications To Physics And Engineering

Calculus Of Variations With Applications To ...

Upload: trungkienpx

📎 Số trang: 344
👁 Lượt xem: 435
⬇ Lượt tải: 17

XEM TÀI LIỆU

CHUYÊN MỤC

Tài liệu tiếng nước ngoài Khoa học công nghệ
Calculus Of Variations With Applications To Physics And Engineering PREFACE: There seems to have been published, up to the present time, no English language volume in which an elementary introduction to the calculus of variations is followed by extensive application of the subject to problems of physics and other Đăng bởi
5 stars - 200703 reviews
Thông tin tài liệu 344 trang Đăng bởi: trungkienpx - 27/03/2025 Ngôn ngữ: Việt nam, English
5 stars - "Tài liệu tốt" by , Written on 27/03/2025 Tôi thấy tài liệu này rất chất lượng, đã giúp ích cho tôi rất nhiều. Chia sẻ thông tin với tôi nếu bạn quan tâm đến tài liệu: Calculus Of Variations With Applications To Physics And Engineering