Later chapters on waves and sound go back and forth between being a bit over-didactic, introducing lots of concepts, and then being extremely mathematical, referencing concepts such as kinetic and potential energy of the wave, introducing lots of equations. I expected the book overall to be more consistently math-y throughout, but the use of text blocks to introduce other applications was not uncalled for, and I think many students would respond positively to it.
I am considering using part of this textbook for a graduate course on acoustics that I teach. It will need to be supplemented with other sound-centric materials since even this book's chapters on sound focus more on physical acoustics than perception of sound or musical sound. But these are always contentious issues in physics education.
Buy for others
Once I increased the text size, the online version was fairly easy to read. Sometimes I did not care much for the format, layout, text-to-space ratios, etc, but those may be different in the pdf version. Some of the photo figures likewise do not seem to be neatly formatted. In the sense that physics is trying to study the universal, so too does this book. There are some unavoidable cultural references in the application points, but those seem considered and not focused on any one place or people group.
In general, this is a good book for intro physics classes. I will probably not make it my only textbook for my acoustics course, but I may use it so supplement some wave concepts here and there. This book is very comprehensive covering every aspect of a major physics first year at any University. It is well orgainised and follows a traditional logical order, ie. There are also slides and a students solutions manual. There are no discernible errors in the text and each topic is dealt with in the professional way you would expect of a physics text.
The books contents are standard basic but comprehensive physics. There is plenty of room for expansion within the text. Includes discussion, some questions and problems on Higgs boson for example. It is quote cumbersome to edit the book and extract pieces that are not whole sections or whole chapters. The book follows an very familiar traditional flow that will be familiar to all physics majors. It would be best, stating the obvious, to start at the begingin and following the book through in chapter order. This is more to do with the subject matter than the book.
There are no problems with the layout or interface of the material. All equations and diagrams are clear and pristine in theit native form. However they do not so easly lend them selves to editing. This would be the best resource I have ever found - IF - it was easier to edit and use in a bespoke way.
Excellent and detailed coverage of mechanics, sound, oscillations, and waves at early years university study. Text covers the fundamental of physics which will not date and examples and questions are relevant and current. The chapters have a structure that would allow individual sections to be assigned and chapters could be delivered in alternative ordering. I have not found anything in the book that would be considered culturally insensitive or offensive. The electricity and magnetism part can The electricity and magnetism part can serve as a standalone textbook for a one-semester calculus based university physics course.
All the topics in a similar course I offered for many years can be found in this textbook. It is very easy to adapt the material in the textbook to a common university physics course to cover electricity and magnetism. There are many wonderful examples to show the students how to apply the concepts discussed in the text.
And the sets of homework are particularly useful for the teachers and students. However, if your course is designed to manage homework online, for example, LON-CAPA, you probably need some time to write the codes in order to use the homework problems. In my course, I continue with diffraction of waves and ray optics.
If the authors can change the outline of the contents to include optics in volume 2, that will be wonderful. For a university physics course focus on electricity and magnetism, the content is similar to most of the textbooks in the market. The contents presented in this textbook are up-to-date and require a minimum amount of updates. The concepts are clearly explained with sometimes good examples to go with them. The text is easy to read. For a student took calculus courses, there is no difficulty of understanding the mathematics used in the examples and the equations.
The connections and the framework of the topics presented in this textbook are standard, thus it is very consistent. The layout of the textbook is very clear. All the modules can be readily adapted and divided into smaller reading sections and lecture notes. It is a very clear structure of the topics. This structure is common and similar to other commercial available textbooks. Some of the cartoon drawings are not high quality. For example, Figures 6. If the pictures were drawn using a professional software, the textbook would be beautiful. Similar thing is the equation, particularly when a vector is involved.
This is the first in a 3-volume set. It covers all of classical mechanics along with waves and oscillations. It is appropriate for a calculus-based physics course in a 3-semester sequence. Combined with the other volumes, it can be adapted to Combined with the other volumes, it can be adapted to use in a 2-semester sequence.
The book does have an excellent index in the PDF version. Online, it has searchable content, but I could not find an index.
Read this book
The table of contents, however, should be sufficient for a student to use it as a reference book. The book does have a glossary for each chapter, giving the meaning of bolded words throughout. These definitions are concise and accurate. The content is accurate. The authors give a nice treatment of vectors, projectile, and circular motion. I like how they bring in more advanced topics, like Brownian motion, as they present these ideas. Instead of dealing with generic vectors, like many textbooks, the authors present only the displacement, velocity, and acceleration vectors.
This is a solid, introductory, calculus-based physics text. I expect these basics of physics to last long beyond what anyone can envision. The pedagogy, too, is up-to-date. The students get lots of practice as they work through each section. Physics is difficult without deliberate and spaced practice.
- Course in Mathematics for Students of Physics: Volume 1 (E-Book, PDF) | buchMEYER oHG.
- Pope John Paul II: Doubts About a Beatification!
- Lenz und Liebe (Spring and Love) Waltz - Cello!
- One of a Kind;
These tools can help the student to master physics. Of course, the book does use appropriate language, which will be unfamiliar with most students. However, the vocabulary builds in each chapter, and the text has links back to previous material when it is referenced in the chapter. Again, the glossary does offer good, simple definitions of bolded words. This book is consistent. It uses terminology from chapter to chapter, but it always refers back to technical terms in previous chapters with handy links. The framework, too, builds in each chapter. Students learn skills—vector math, eg.
Of course, physics is a particularly good subject for such building. The reason I love physics is because it is consistent.
Like many physics texts, this book is divided into appropriate and small sections. Chapter 4, for example, is divided into 5 sections. A professor can assign a particular section per day as the students or before cover the material in class. Indeed, these sections do not disrupt the reading but, instead, provide convenient breaks that allow the reader to pause and reflect. At the end of each section, the authors have included conceptual questions and practice problems so the reader can ensure their own mastery of the material.
As I stated previously, I might not present these topics in this particular order. For example, I like to cover centripetal forces with rotation. However, these issues are very minor. The authors follow a putative order for presenting the topics; this order is used by many textbooks. The OpenStax folks have their game together.
Figures are clear and well-labeled. The online interface, which I prefer over the PDF, is easy to use. It has, in my opinion, better writing than some other standard books Halliday, Serway, Tipler, etc. Of the 6 cartoon figures, all were white, and 2 were women. However, the people presented in these figures are small and not a big part of the text. In fact, 4 of the characters were partially obscured by masks or sporting equipment.
The book does not take extra measures to make minorities feel included. The text is not offensive in any way unless someone hates physics!! I intend to use it next year. I'd love to see some online tools like Tutor or Concept Coach, even if for a fee. I'd likely use them in my course. Covers the topics typically covered in the first term of a calculus based introductory level physics course. I did not see an obviously located index, however the digital format of the book is searchable.
However, this feature does not completely replace an index because some students buy a printed book. There is a glossary at the end of each section, but not a global glossary. The book is generally accurate. Inaccuracies are not related to content, but rather to typographic errors and such. More importantly, a site exists where errata can be submitted by users and those submissions can be seen by users.
The text is written and arranged in similar fashion to standard texts on the subject, which have not changed much over a decade or more. The main updates are links to Phet simulations and other resources, however if the locationsURL of these resources changes then those links will be broken until updated. Most students these days supplement the text with other resources such as video lectures and simulations, and open courseware, which I encourage. However, this means convincing students to read the text in-depth is even more difficult than in the past.
The less formal language may help with this, and students comprehend the material at a level such that student outcomes will be affected by the slight reduction in rigor. Certain sections dealing with common misconceptions, such as centrifugal force, were given specific treatment with careful language, which is important. The writing style often uses the word "this" in a paragraph of text with "this" referencing a concept described in a previous sentence or paragraph, which might possibly lead to confusion for students.
At times it appears to be overly differentiated, possibly to the point of distraction, but that may be a personal issue. Students might appreciate the level of differentiation. The topics are presented in the same general order as standard textbooks on the subject. Isaac Newton — developed new mathematics, including calculus and several numerical methods such as Newton's method to solve problems in physics. Newton's theory of motion, published in , modeled three Galilean laws of motion along with Newton's law of universal gravitation on a framework of absolute space —hypothesized by Newton as a physically real entity of Euclidean geometric structure extending infinitely in all directions—while presuming absolute time , supposedly justifying knowledge of absolute motion, the object's motion with respect to absolute space.
Having ostensibly reduced the Keplerian celestial laws of motion as well as Galilean terrestrial laws of motion to a unifying force, Newton achieved great mathematical rigor, but with theoretical laxity.
Download A Course In Mathematics For Students Of Physics: Volume 1
In the 18th century, the Swiss Daniel Bernoulli — made contributions to fluid dynamics , and vibrating strings. The Swiss Leonhard Euler — did special work in variational calculus , dynamics, fluid dynamics, and other areas. Also notable was the Italian-born Frenchman, Joseph-Louis Lagrange — for work in analytical mechanics: A major contribution to the formulation of Analytical Dynamics called Hamiltonian dynamics was also made by the Irish physicist, astronomer and mathematician, William Rowan Hamilton Hamiltonian dynamics had played an important role in the formulation of modern theories in physics, including field theory and quantum mechanics.
The French mathematical physicist Joseph Fourier — introduced the notion of Fourier series to solve the heat equation , giving rise to a new approach to solving partial differential equations by means of integral transforms. Into the early 19th century, the French Pierre-Simon Laplace — made paramount contributions to mathematical astronomy , potential theory , and probability theory. In Germany, Carl Friedrich Gauss — made key contributions to the theoretical foundations of electricity , magnetism , mechanics , and fluid dynamics.
In England, George Green published An Essay on the Application of Mathematical Analysis to the Theories of Electricity and Magnetism in , which in addition to its significant contributions to mathematics made early progress towards laying down the mathematical foundations of electricity and magnetism.
A couple of decades ahead of Newton's publication of a particle theory of light, the Dutch Christiaan Huygens — developed the wave theory of light, published in By , Thomas Young 's double-slit experiment revealed an interference pattern, as though light were a wave, and thus Huygens's wave theory of light, as well as Huygens's inference that light waves were vibrations of the luminiferous aether , was accepted. Jean-Augustin Fresnel modeled hypothetical behavior of the aether. Michael Faraday introduced the theoretical concept of a field—not action at a distance.
Midth century, the Scottish James Clerk Maxwell — reduced electricity and magnetism to Maxwell's electromagnetic field theory, whittled down by others to the four Maxwell's equations. Initially, optics was found consequent of [ clarification needed ] Maxwell's field. Later, radiation and then today's known electromagnetic spectrum were found also consequent of [ clarification needed ] this electromagnetic field. The English physicist Lord Rayleigh [—] worked on sound.
Stokes was a leader in optics and fluid dynamics; Kelvin made substantial discoveries in thermodynamics ; Hamilton did notable work on analytical mechanics , discovering a new and powerful approach nowadays known as Hamiltonian mechanics. Very relevant contributions to this approach are due to his German colleague Carl Gustav Jacobi — in particular referring to canonical transformations.
The German Hermann von Helmholtz — made substantial contributions in the fields of electromagnetism , waves, fluids , and sound. In the United States, the pioneering work of Josiah Willard Gibbs — became the basis for statistical mechanics. Fundamental theoretical results in this area were achieved by the German Ludwig Boltzmann Together, these individuals laid the foundations of electromagnetic theory, fluid dynamics, and statistical mechanics.
By the s, there was a prominent paradox that an observer within Maxwell's electromagnetic field measured it at approximately constant speed, regardless of the observer's speed relative to other objects within the electromagnetic field. Thus, although the observer's speed was continually lost [ clarification needed ] relative to the electromagnetic field, it was preserved relative to other objects in the electromagnetic field.
And yet no violation of Galilean invariance within physical interactions among objects was detected. As Maxwell's electromagnetic field was modeled as oscillations of the aether , physicists inferred that motion within the aether resulted in aether drift , shifting the electromagnetic field, explaining the observer's missing speed relative to it. The Galilean transformation had been the mathematical process used to translate the positions in one reference frame to predictions of positions in another reference frame, all plotted on Cartesian coordinates , but this process was replaced by Lorentz transformation , modeled by the Dutch Hendrik Lorentz [—].
In , experimentalists Michelson and Morley failed to detect aether drift, however. It was hypothesized that motion into the aether prompted aether's shortening, too, as modeled in the Lorentz contraction. It was hypothesized that the aether thus kept Maxwell's electromagnetic field aligned with the principle of Galilean invariance across all inertial frames of reference , while Newton's theory of motion was spared. In the 19th century, Gauss 's contributions to non-Euclidean geometry , or geometry on curved surfaces, laid the groundwork for the subsequent development of Riemannian geometry by Bernhard Riemann — Austrian theoretical physicist and philosopher Ernst Mach criticized Newton's postulated absolute space.
In , Pierre Duhem published a devastating criticism of the foundation of Newton's theory of motion. Refuting the framework of Newton's theory— absolute space and absolute time —special relativity refers to relative space and relative time , whereby length contracts and time dilates along the travel pathway of an object. In , Einstein's former professor Hermann Minkowski modeled 3D space together with the 1D axis of time by treating the temporal axis like a fourth spatial dimension—altogether 4D spacetime—and declared the imminent demise of the separation of space and time.
Einstein initially called this "superfluous learnedness", but later used Minkowski spacetime with great elegance in his general theory of relativity , [11] extending invariance to all reference frames—whether perceived as inertial or as accelerated—and credited this to Minkowski, by then deceased. General relativity replaces Cartesian coordinates with Gaussian coordinates , and replaces Newton's claimed empty yet Euclidean space traversed instantly by Newton's vector of hypothetical gravitational force—an instant action at a distance —with a gravitational field.
The gravitational field is Minkowski spacetime itself, the 4D topology of Einstein aether modeled on a Lorentzian manifold that "curves" geometrically, according to the Riemann curvature tensor , in the vicinity of either mass or energy. Under special relativity—a special case of general relativity—even massless energy exerts gravitational effect by its mass equivalence locally "curving" the geometry of the four, unified dimensions of space and time. October 27, Sold by: Share your thoughts with other customers. Write a customer review. Showing of 7 reviews.
Top Reviews Most recent Top Reviews.
- SAVOIR-VIVRE A lHEURE DINTERNET (French Edition)?
- Course in Mathematics for Students of Physics: Volume 1 (E-Book, PDF).
- Kategorien;
- University Physics Volume 1 - Open Textbook Library.
There was a problem filtering reviews right now. Please try again later. There are a number of reviews for this series, mixed good and bad, and rather than adding another, I just want to register agreement with most of the points on both sides; on the positive end, it's as far as I can tell unique in using electronic circuits as the primary motivation for the math, and provides a broad enough range of material that it should be fairly easy to pick up just these two volumes and be able to get a decent handle on the material. On the negative side, while I haven't noticed the errors that were mentioned, the lack of solutions and occasional hand-wavery can leave one wondering -- but that's by no means a problem unique to this text.
The standard point of comparison seems to be Frankel's Geometry of Physics, which is an excellent text, but I'd argue that it suffers from the same problem. This series doesn't go as deep into differential geometry as Frankel's, but offers more breadth. I'm going to mention the second volume almost exclusively. This is where the action is located. It is hard to find any equivalent treatment of circuit theory using algebraic topology. You should have some mathematics background or some patience and a stack of books on algebra and algebraic topology so you can understand what these authors write so poorly.
However, while the text vol. If you are patient you will see a side of circuits you have never dreamt of and then you will be led into the generalized continuous version which is electromagnetics. Have fun and keep in mind that the book is written by sadists, clever and intelligent, but sadists all the way! Kindle Edition Verified Purchase.
The book itself is five stars. The kindle edition gets three: This book covers a lot of material and presents the underlying concepts in a particularly useful manner. Silly digressions into self-indulgent proofs are pleasingly absent. One person found this helpful. Let me commence with proclaiming that I love these two volumes. I proffer evidence in support of my view regards volume one: Yet, there are "hints" supplied for quite a few of these exercises see: The student will locate more hints. Might I remark that many of the exercises are not too difficult see: Solutions can be verified on one's own!
If asked to verify the inverse of a 2X2 determinant, a routine matter via matrix multiplication to "verify" the answer! Solutions to problem 11, parts a through f, page differential equations can certainly be verified on one's own. The account encompasses twenty pages, where we learn: Calculus in the Plane, Section 5.
Lagrange multipliers, as lucid an exposition as any encountered! This is a fantastic Chapter!