An Advanced Introduction to Calculus-Based Physics (Mechanics) - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook An Advanced Introduction to Calculus-Based Physics (Mechanics) write by Chris McMullen. This book was released on 2012-05-01. An Advanced Introduction to Calculus-Based Physics (Mechanics) available in PDF, EPUB and Kindle. CONTENTS: This textbook covers the mechanics portion of first-semester calculus-based physics. 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. This volume is dedicated to mechanics. 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). CONCISE OUTLINE FORMAT: The text is conveniently organized by specific topic to help students who may not be reading straight through, but who may be searching for a specific idea or who may be reviewing material that they read previously. There is also a handy index to help locate concepts quickly. Examples and problem-solving strategies clearly stand out from discussions of concepts. 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. PRACTICE: The end of each chapter has a good selection of instructive conceptual questions and practice problems. 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).
Calculus-Based Physics I
Calculus-Based Physics I - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Calculus-Based Physics I write by Jeffrey W. Schnick. This book was released on 2009-09-24. Calculus-Based Physics I available in PDF, EPUB and Kindle. Calculus-Based Physics is an introductory physics textbook designed for use in the two-semester introductory physics course typically taken by science and engineering students. This item is part 1, for the first semester. Only the textbook in PDF format is provided here. To download other resources, such as text in MS Word formats, problems, quizzes, class questions, syllabi, and formula sheets, visit: http: //www.anselm.edu/internet/physics/cbphysics/index.html Calculus-Based Physics is now available in hard copy in the form of two black and white paperbacks at www.LuLu.com at the cost of production plus shipping. Note that Calculus-Based Physics is designed for easy photocopying. So, if you prefer to make your own hard copy, just print the pdf file and make as many copies as you need. While some color is used in the textbook, the text does not refer to colors so black and white hard copies are viable
Mathematical Methods For Physics
Mathematical Methods For Physics - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Mathematical Methods For Physics write by H. W. Wyld. This book was released on 2018-03-14. Mathematical Methods For Physics available in PDF, EPUB and Kindle. This classic book helps students learn the basics in physics by bridging the gap between mathematics and the basic fundamental laws of physics. With supplemental material such as graphs and equations, Mathematical Methods for Physics creates a strong, solid anchor of learning. The text has three parts: Part I focuses on the use of special functions in solving the homogeneous partial differential equations of physics, and emphasizes applications to topics such as electrostatics, wave guides, and resonant cavities, vibrations of membranes, heat flow, potential flow in fluids, plane and spherical waves. Part II deals with the solution of inhomogeneous differential equations with particular emphasis on problems in electromagnetism, Green's functions for Poisson's equation, the wave equation and the diffusion equation, and the solution of integral equations by iteration, eigenfunction expansion and the Fredholm series. Finally, Part II explores complex variable techniques, including evalution of itegrals, dispersion relations, special functions in the complex plane, one-sided Fourier transforms, and Laplace transforms.
Classical Mechanics with Calculus of Variations and Optimal Control
Classical Mechanics with Calculus of Variations and Optimal Control - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Classical Mechanics with Calculus of Variations and Optimal Control write by Mark Levi. This book was released on 2014-03-07. Classical Mechanics with Calculus of Variations and Optimal Control available in PDF, EPUB and Kindle. This is an intuitively motivated presentation of many topics in classical mechanics and related areas of control theory and calculus of variations. All topics throughout the book are treated with zero tolerance for unrevealing definitions and for proofs which leave the reader in the dark. Some areas of particular interest are: an extremely short derivation of the ellipticity of planetary orbits; a statement and an explanation of the "tennis racket paradox"; a heuristic explanation (and a rigorous treatment) of the gyroscopic effect; a revealing equivalence between the dynamics of a particle and statics of a spring; a short geometrical explanation of Pontryagin's Maximum Principle, and more. In the last chapter, aimed at more advanced readers, the Hamiltonian and the momentum are compared to forces in a certain static problem. This gives a palpable physical meaning to some seemingly abstract concepts and theorems. With minimal prerequisites consisting of basic calculus and basic undergraduate physics, this book is suitable for courses from an undergraduate to a beginning graduate level, and for a mixed audience of mathematics, physics and engineering students. Much of the enjoyment of the subject lies in solving almost 200 problems in this book.
100 Instructive Trig-Based Physics Examples
100 Instructive Trig-Based Physics Examples - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook 100 Instructive Trig-Based Physics Examples write by Chris McMullen. This book was released on 2016-11-12. 100 Instructive Trig-Based Physics Examples available in PDF, EPUB and Kindle. DESCRIPTION: over 100 fully-solved examples step-by-step solutions with explanations standard problems from trig-based physics includes tables of equations, symbols, and units This volume covers motion, including uniform acceleration, vector addition, projectile motion, Newton's laws, conservation of energy, work, collisions, rotation, center of mass, moment of inertia, satellites, and more. (Vol. 2 covers electricity and magnetism, while Vol. 3 covers waves, fluids, heat, sound, and light. Vol.'s 2-3 will be released in the spring of 2017.) AUTHOR: The author, Dr. Chris McMullen, has over 20 years of experience teaching university physics in California, Oklahoma, Pennsylvania, and Louisiana (and has also taught physics to gifted high school students). Dr. McMullen currently teaches physics at Northwestern State University of Louisiana. He has also published a half-dozen papers on the collider phenomenology of superstring-inspired large extra dimensions. Chris McMullen earned his Ph.D. in particle physics from Oklahoma State University (and his M.S. in physics from California State University, Northridge). Dr. McMullen is well-known for: engaging physics students in challenging ideas through creativity breaking difficult problems down into manageable steps providing clear and convincing explanations to subtle issues his mastery of physics and strong background in mathematics helping students become more fluent in practical math skills MATH REVIEW: Separate chapters cover essential algebra, geometry, and trigonometry skills. USES: This physics book serves two functions: It provides a variety of examples for how to solve fundamental physics problems. It's also the solutions manual to Essential Trig-based Physics Study Guide Workbook, ISBN 978-1-941691-14-4.
