Problems And Solutions On Mechanics (Second Edition) (Major American Universities PH.D. Qualifying Questions and S) 2nd Edition

Problems And Solutions On Mechanics (Second Edition) (Major American Universities PH.D. Qualifying Questions and S) 2nd Edition

Description:
Problems and Solutions on Mechanics is a highly regarded compilation of PhD-level problems selected from major American universities, including Columbia University, MIT, Princeton University, and the University of California at Berkeley. Over a twenty-year period, these challenging questions have tested the knowledge of doctoral students, covering a wide range of topics in mechanics, from the dynamics of point masses and rigid bodies to special relativity.

This second edition has been thoroughly updated, adding new problems and solutions while modernizing older questions to better reflect current understanding in the field. The problems range from fundamental to advanced, providing students with a rich resource to deepen their understanding of mechanics through hands-on problem-solving. Whether used as preparation for qualifying exams or as a study tool, this book enhances the student’s knowledge of mechanics, offering both simple and complex problems to test their skills.

Key Features:

• Comprehensive Coverage: Includes problems from key mechanics topics such as Newtonian mechanics, Lagrange’s equations, Hamilton’s equations, and special relativity.
• PhD-Level Questions: Challenges from top universities over the past twenty years, making it ideal for those preparing for graduate qualifying exams.
• Updated Content: New problems and solutions in this second edition with outdated questions removed and modern calculations emphasized.
• Variety of Problems: Ranges from simple-to-solve questions for fundamental checks to complex problems that challenge advanced students.
• Real Exam Experience: Features many actual PhD qualifying exam questions from prestigious American universities.

Table of Contents (Short Version):

• Part I: Newtonian Mechanics
  1. Dynamics of a Point Mass (1001–1108)
  2. Dynamics of a System of Point Masses (1109–1144)
  3. Dynamics of Rigid Bodies (1145–1223)
  4. Dynamics of Deformable Bodies (1224–1272)
• Part II: Analytical Mechanics
  1. Lagrange’s Equations (2001–2027)
  2. Small Oscillations (2028–2067)
  3. Hamilton’s Canonical Equations (2068–2084)
• Part III: Special Relativity
  1. Special Relativity (3001–3054)

Product Details:

• Publisher: World Scientific Publishing Company
• Published: June 2020
• ISBN: 9789811213427
• Language: English
• Pages: 712