An Advanced Introduction to Calculus-Based Physics (Mechanics) by Chris Mcmullen Ph D

An Advanced Introduction to Calculus-Based Physics (Mechanics) by Chris Mcmullen Ph D

CONTENTS This textbook covers the mechanics portion of first-year calculus-based physics, including the following topics:

• Uniform and non-uniform acceleration
• Vector addition and coordinate systems
• Applying Newton's laws of motion
• Uniform circular motion (including satellites)
• Work, power, and conservation of energy
• Center of mass, collisions, and rockets
• Thorough coverage of rotation

AUDIENCE This calculus-based physics textbook is geared toward independent learners who can handle the rigors of calculus and who seek to develop a strong introduction to the fundamentals of physics, both mathematically and conceptually. It could also serve as a useful reference for physics and engineering students who have gone beyond the first year of physics, but who would like to review the fundamentals as they explore more advanced fields of physics.

PREREQUISITES No previous exposure to physics is assumed. The student should be familiar with the basic techniques of differentiation and integration, including polynomials and trig functions, and should be fluent in algebra and familiar with the basic trig functions.

COREQUISITES The textbook teaches Calculus II skills as needed, such as the technique of integrating via trigonometric substitution. The textbook also reviews some Calculus I skills which students often forget, such as the mean-value theorem, l'Hopital's rule, and the chain rule. This is not done in an introductory chapter or an appendix, but in the main text as these ideas first become useful.

IMPORTANT DISTINCTIONS Boxes of important distinctions are included in order to help students distinguish between similar concepts--like average speed and average velocity, between velocity and acceleration, or between mass and weight.

TABLE OF EQUATIONS There is a handy table of equations organized by topic on the back cover of the textbook. The equations in the text (but not on the cover) also include notes to help students understand any limitations that the equations may have (e.g. some equations only apply if acceleration is uniform or if mass is constant).

MATHEMATICAL & CONCEPTUAL EMPHASIS There is much emphasis both on learning the mathematics precisely and understanding the concepts at a deep, precise level. An underlying idea is that students should not guess at concepts, but that concepts are mathematically motivated: Let the equations be your guide.

PROBLEM-SOLVING STRATEGIES All of the main problem-solving strategies--like projectile motion, applying Newton's second law, or conserving energy--are highlighted and described step-by-step and in detail. Examples illustrate how to carry out all of the problem-solving strategies.

NOTES Several notes are boxed to describe important points, common mistakes, and exceptions. Hundreds of footnotes are included to discuss subtleties without interrupting the flow of the text.

EXAMPLES Conceptual and problem-solving examples were selected based on their instructiveness in elucidating important concepts or illustrating how to carry out important problem-solving strategies; quality was favored over quantity. Simple plug-and-chug examples and problems are scarce, since the audience for this book is independent students.

HINTS & ANSWERS 100% of the conceptual questions have both hints and answers, since it's crucial to develop a solid understanding of the concepts in order to succeed in physics. Some of the practice problems have answers to help independent students gain confidence by reproducing the same answers, while 100% of the practice problems have hints so that students can see if they are solving the problems correctly (even if the problem doesn't have the answer in the back).

Chris McMullen is a physics instructor at Northwestern State University of Louisiana. He earned his Ph.D. in phenomenological high-energy physics (particle physics) from Oklahoma State University in 2002. Originally from California, he earned his Master's degree from California State University, Northridge, where his thesis was in the field of electron spin resonance. He has published several papers on the prospects for discovering large superstring-inspired extra dimensions at the Large Hadron Collider, which is his area of specialization. Dr. McMullen published The Visual Guide to Extra Dimensions, Volumes 1 and 2, to share his passion for the geometry and physics of the fourth dimension. He also wrote these books, Full-Color Illustrations of the Fourth Dimension, Volumes 1 and 2, to help illustrate the geometry of a fourth dimension of space. Dr. McMullen was fascinated with a fourth dimension of space when he first read Rudy Rucker's introduction to the subject during high school. He happened to be working on his Ph.D. in particle physics when Arkani-Hamed, Dimopoulos, and Dvali wrote a famous technical paper motivating large superstring-inspired extra dimensions, which transformed the subject of the fourth dimension from philosophy to a plausibly experimental science. Dr. McMullen has published these general-audience books on the fourth dimension to share his passion for the math and physics of extra dimensions. One of his favorite sayings is: May your contemplation of a fourth dimension of space enhance the dimensionality of your thoughts.

SKU	Unavailable
ISBN 13	9781463644086
ISBN 10	1463644086
Title	An Advanced Introduction to Calculus-Based Physics (Mechanics)
Author	Chris Mcmullen Ph D
Condition	Unavailable
Binding Type	Paperback
Publisher	Createspace Independent Publishing Platform
Year published	2012-05-09
Number of pages	576
Cover note	Book picture is for illustrative purposes only, actual binding, cover or edition may vary.