Buy Approximating Perfection Book by Leonid P. Lebedev
Book 1
Book 2
Book 3
Book 1
Book 2
Book 3
Book 1
Book 2
Book 3
Book 1
Book 2
Book 3
Home > Science, Technology & Agriculture > Mechanical engineering and materials > Mechanical engineering > Approximating Perfection: A Mathematician's Journey into the World of Mechanics
Approximating Perfection: A Mathematician's Journey into the World of Mechanics

Approximating Perfection: A Mathematician's Journey into the World of Mechanics


     0     
5
4
3
2
1



Out of Stock


Notify me when this book is in stock
X
About the Book

This is a book for those who enjoy thinking about how and why Nature can be described using mathematical tools. Approximating Perfection considers the background behind mechanics as well as the mathematical ideas that play key roles in mechanical applications. Concentrating on the models of applied mechanics, the book engages the reader in the type



Table of Contents:
Preface vii Chapter 1. The Tools of Calculus 1 1.1 Is Mathematical Proof Necessary? 2 1.2 Abstraction, Understanding, Infinity 6 1.3 Irrational Numbers 8 1.4 What Is a Limit? 11 1.5 Series 15 1.6 Function Continuity 19 1.7 How to Measure Length 21 1.8 Antiderivatives 33 1.9 Definite Integral 35 1.10 The Length of a Curve 42 1.11 Multidimensional Integrals 44 1.12 Approximate Integration 47 1.13 On the Notion of a Function 52 1.14 Differential Equations 53 1.15 Optimization 59 1.16 Petroleum Exploration and Recovery 61 1.17 Complex Variables 63 1.18 Moving On 65 Chapter 2. The Mechanics of Continua 67 2.1 Why Do Ships Float? 67 2.2 The Main Notions of Classical Mechanics 71 2.3 Forces, Vectors, and Objectivity 74 2.4 More on Forces; Statics 76 2.5 Hooke's Law 80 2.6 Bending of a Beam 84 2.7 Stress Tensor 94 2.8 Principal Axes and Invariants of the Stress Tensor 100 2.9 On the Continuum Model and Limit Passages 102 2.10 Equilibrium Equations 104 2.11 The Strain Tensor 108 2.12 Generalized Hooke's Law 113 2.13 Constitutive Laws 114 2.14 Boundary Value Problems 115 2.15 Setup of Boundary Value Problems of Elasticity 118 2.16 Existence and Uniqueness of Solution 120 2.17 Energy; Minimal Principle for a Spring 126 2.18 Energy in Linear Elasticity 128 2.19 Dynamic Problems of Elasticity 132 2.20 Oscillations of a String 134 2.21 Lagrangian and Eulerian Descriptions of Continuum Media 137 2.22 The Equations of Hydrodynamics 140 2.23 D'Alembert-Euler Equation of Continuity 142 2.24 Some Other Models of Hydrodynamics 144 2.25 Equilibrium of an Ideal Incompressible Liquid 145 2.26 Force on an Obstacle 148 Chapter 3. Elements of the Strength of Materials 151 3.1 What Are the Problems of the Strength of Materials? 151 3.2 Hooke's Law Revisited 152 3.3 Objectiveness of Quantities in Mechanics Revisited 157 3.4 Plane Elasticity 159 3.5 Saint-Venant's Principle 161 3.6 Stress Concentration 163 3.7 Linearity vs. Nonlinearity 165 3.8 Dislocations, Plasticity, Creep, and Fatigue 166 3.9 Heat Transfer 172 3.10 Thermoelasticity 175 3.11 Thermal Expansion 177 3.12 A Few Words on the History of Thermodynamics 178 3.13 Thermodynamics of an Ideal Gas 180 3.14 Thermodynamics of a Linearly Elastic Rod 182 3.15 Stability 186 3.16 Static Stability of a Straight Beam 188 3.17 Dynamical Tools for Studying Stability 193 3.18 Additional Remarks on Stability 195 3.19 Leak Prevention 198 Chapter 4. Some Questions of Modeling in the Natural Sciences 201 4.1 Modeling and Simulation 201 4.2 Computerization and Modeling 203 4.3 Numerical Methods and Modeling in Mechanics 206 4.4 Complexity in the Real World 208 4.5 The Role of the Cosine in Everyday Measurements 209 4.6 Accuracy and Precision 211 4.7 How Trees Stand Up against the Wind 213 4.8 Why King Kong Cannot Be as Terrible as in the Movies 216 Afterword 219 Recommended Reading 221 Index 223

About the Author :
Leonid P. Lebedev is Professor of Mathematics at the National University of Colombia and Professor of Mechanics and Mathematics at Rostov State University in Russia. He is the author of "Functional Analysis in Mechanics and Functional Analysis: Applications in Mechanics and Inverse Problems". Michael J.Cloud is Professor of Electrical and Computer Engineering at Lawrence Technological University. He is the author of "Inequalities with Applications to Engineering" and "Electromagnetics". Lebedev and Cloud also coauthored "Tensor Analysis, The Calculus of Variations and Functional Analysis with Optimal Control and Applications in Mechanics".

Review :
"A well-written general-interest introduction to classical mechanics."--Choice


Best Sellers


Product Details
  • ISBN-13: 9780691117263
  • Publisher: Princeton University Press
  • Publisher Imprint: Princeton University Press
  • Height: 235 mm
  • No of Pages: 232
  • Sub Title: A Mathematician's Journey into the World of Mechanics
  • Width: 152 mm
  • ISBN-10: 0691117268
  • Publisher Date: 02 May 2004
  • Binding: Hardback
  • Language: English
  • Returnable: Y
  • Weight: 482 gr


Similar Products

Add Photo
Add Photo

Customer Reviews

REVIEWS      0     
Click Here To Be The First to Review this Product
Approximating Perfection: A Mathematician's Journey into the World of Mechanics
Princeton University Press -
Approximating Perfection: A Mathematician's Journey into the World of Mechanics
Writing guidlines
We want to publish your review, so please:
  • keep your review on the product. Review's that defame author's character will be rejected.
  • Keep your review focused on the product.
  • Avoid writing about customer service. contact us instead if you have issue requiring immediate attention.
  • Refrain from mentioning competitors or the specific price you paid for the product.
  • Do not include any personally identifiable information, such as full names.

Approximating Perfection: A Mathematician's Journey into the World of Mechanics

Required fields are marked with *

Review Title*
Review
    Add Photo Add up to 6 photos
    Would you recommend this product to a friend?
    Tag this Book Read more
    Does your review contain spoilers?
    What type of reader best describes you?
    I agree to the terms & conditions
    You may receive emails regarding this submission. Any emails will include the ability to opt-out of future communications.

    CUSTOMER RATINGS AND REVIEWS AND QUESTIONS AND ANSWERS TERMS OF USE

    These Terms of Use govern your conduct associated with the Customer Ratings and Reviews and/or Questions and Answers service offered by Bookswagon (the "CRR Service").


    By submitting any content to Bookswagon, you guarantee that:
    • You are the sole author and owner of the intellectual property rights in the content;
    • All "moral rights" that you may have in such content have been voluntarily waived by you;
    • All content that you post is accurate;
    • You are at least 13 years old;
    • Use of the content you supply does not violate these Terms of Use and will not cause injury to any person or entity.
    You further agree that you may not submit any content:
    • That is known by you to be false, inaccurate or misleading;
    • That infringes any third party's copyright, patent, trademark, trade secret or other proprietary rights or rights of publicity or privacy;
    • That violates any law, statute, ordinance or regulation (including, but not limited to, those governing, consumer protection, unfair competition, anti-discrimination or false advertising);
    • That is, or may reasonably be considered to be, defamatory, libelous, hateful, racially or religiously biased or offensive, unlawfully threatening or unlawfully harassing to any individual, partnership or corporation;
    • For which you were compensated or granted any consideration by any unapproved third party;
    • That includes any information that references other websites, addresses, email addresses, contact information or phone numbers;
    • That contains any computer viruses, worms or other potentially damaging computer programs or files.
    You agree to indemnify and hold Bookswagon (and its officers, directors, agents, subsidiaries, joint ventures, employees and third-party service providers, including but not limited to Bazaarvoice, Inc.), harmless from all claims, demands, and damages (actual and consequential) of every kind and nature, known and unknown including reasonable attorneys' fees, arising out of a breach of your representations and warranties set forth above, or your violation of any law or the rights of a third party.


    For any content that you submit, you grant Bookswagon a perpetual, irrevocable, royalty-free, transferable right and license to use, copy, modify, delete in its entirety, adapt, publish, translate, create derivative works from and/or sell, transfer, and/or distribute such content and/or incorporate such content into any form, medium or technology throughout the world without compensation to you. Additionally,  Bookswagon may transfer or share any personal information that you submit with its third-party service providers, including but not limited to Bazaarvoice, Inc. in accordance with  Privacy Policy


    All content that you submit may be used at Bookswagon's sole discretion. Bookswagon reserves the right to change, condense, withhold publication, remove or delete any content on Bookswagon's website that Bookswagon deems, in its sole discretion, to violate the content guidelines or any other provision of these Terms of Use.  Bookswagon does not guarantee that you will have any recourse through Bookswagon to edit or delete any content you have submitted. Ratings and written comments are generally posted within two to four business days. However, Bookswagon reserves the right to remove or to refuse to post any submission to the extent authorized by law. You acknowledge that you, not Bookswagon, are responsible for the contents of your submission. None of the content that you submit shall be subject to any obligation of confidence on the part of Bookswagon, its agents, subsidiaries, affiliates, partners or third party service providers (including but not limited to Bazaarvoice, Inc.)and their respective directors, officers and employees.

    Accept


    Inspired by your browsing history


    Your review has been submitted!

    You've already reviewed this product!