Introductory Definition and 358 Threads

Homework Statement dy/dx(x^n) = nx^(n-1) ∫(x^n)dx = (x^(n+1))/(n+1) + C (for n ≠ -1) Q1:How do you know that x^n is the only function which has the derivative of nx^(n-1)? and (x^(n+1))/(n+1) + C are the only primitive function of x^n? Q2:∫(x^(-1))dx = ln|x| + C We cannot use...

I am currently reading some of that material but started to wonder because some of it seem basic enough to me though I don't have a real concrete background yet. I was wondering if it is A-level equivalent because it couldn't be college physics. Oh yea and err can't I post on other sections...

I'm currently self-studying introductory physics. I am able to understand the derivation of equations in my notes, but I find myself struggling to apply calculus in the problem sets. I tend to instinctively solve the questions algebraically, and will begin to really contemplate using calculus...

My 7th grader has enough mathematical background in algebra, geometry and trigonometry to start learning how to write out proofs. Are their good books that teach this step by step? I can certainly teach him myself with examples, but I figured there must be a systematic way to teach this...

Let $n = pq$ such that $p$ and $q$ are distinct primes. Let $a$ be coprime to $n$. Show that the following holds: $$a^{p^k + q^k} \equiv a^{n^k + 1} \pmod{n} ~ ~ ~ ~ ~ \text{for all} ~ ~ k \in \mathbb{Z}$$

Greetings. I have been reading the textbook recommendations and they help me greatly already, but I need to ask for little guidance. My question is this: If you were to replace the introductory physics book ("Fundamentals of Physics", "University Physics", "Physics for Scientists and...

Is an introductory physics course necessary?? I'm learning physics in my spare time, however, I hope to be professional in physics, so I took a look at many universities physics curricula and found that students must take an introductory general physics course at some universities, and at other...

Our class doesn't use a textbook and our professor doesn't give out much notes. Just handouts with problems on it. So I wanted a textbook to accompany my studies but don't know which is the best/rigorious general chemistry textbook.

Any one used/read this book. What is contents deals with is it just a Introductory Physics Book having teaching methods. Please Share experience. Amazon: https://www.amazon.com/dp/0471137073/?tag=pfamazon01-20

Author: Kenneth S. Krane Title: Introductory Nuclear Physics Amazon Link: https://www.amazon.com/dp/047180553X/?tag=pfamazon01-20 Prerequisities: It is expected that students have some experience with quantum mechanics/physics. A course in Modern Physics and a mathematical background...

Author: Erwin Kreyszig Title: Introductory Functional Analysis wih Applications Amazon link https://www.amazon.com/dp/0471504599/?tag=pfamazon01-20 Prerequisities: Being acquainted with proofs and rigorous mathematics. Rigorous Calculus and Linear algebra. Level: Undergrad Table of...

So finally after many years of avoiding it due to pure fear of the subject, I've decided I am going to learn maths no matter how hard it is for me. The question is which book should I get? With so many out there I am looking for something with plenty of problems, a mixture of text based and...

I'll be taking an introductory course on time series analysis in the spring, and we will be using the instructor's online notes as the "textbook". My previous experiences with such instructor's notes have been that they contain only the essentials of the course and aren't really useful as...

Homework Statement A space probe is sent from Earth to collect samples of gas from our nearest neighbour star, Proxima Centauri, which is 4.2 ly away. The probe accelerates rapidly to a speed of 0.99c, cruises at this speed until very close to the star, slingshots around the back of the star...

Let X be a set and L a signature; write k(X,L) for the number of distinct L-structures which have domain X. Show that if X is a finite set then k(X,L) is either finite or at least 2^w (w stands for omega). Attempt: as L is fixed, all L-structures have the same n-ary relation and function...

There's a textbook called Understanding Physics by Michael Mansfield, and it is is used at Cambridge University. https://www.amazon.com/Understanding-Physics-Michael-Mansfield/dp/0470746378 Although the book is less than 700 pages, the author says that his book is "comprehensive" and is...

I'm looking for good intro texts involving astronautics and rockets. I found Understanding Space: An Introduction to Astronautics (https://www.amazon.com/dp/0077230302/?tag=pfamazon01-20), but from the table of contents, it doesn't look very technical. I'd like to find something technical...

So far I have only seen ∂/(∂y) as being interpreted as an operator being of no use unless it is applied to some vector etc. Now, however, my course literature asserts the following equality: y=∂/(∂y) What is the interpretation of the differentials in this case?

Can anyone recommend me some texts on introductory finance? I have no problem with the level of math it may require, although I am of the opinion that introductory finance texts probably won't require too much of advanced mathematics. Thanks much. BiP

Homework Statement Light of wavelength 588 nm illuminates a single 0.70 mm wide slit. At what distance from the slit should a screen be placed if the first minimum in the diffraction pattern is to be 1.82 mm from the central maximum? Homework Equations Im not sure on the equation, someone...

I would like a thorough but not overly comprehensive intro text for complex analysis. My background is one variable real analysis (Rudin), Linear Algebra (Friedberg), Abstract Algebra (Herstein). I know only basic point-set topology (from Rudin), and I haven't dealt at all with differential...

Introductory Bohrs Model Problem...and I'm Lost! Ok, so I "think" what I am trying to find here is the frequency of the energy between two states of energy. I admit that part of my problem probably lies in the fact that I'm not even sure what it is I'm trying to find. My class seems to be just...

Homework Statement This is from Introduction to High Energy Physics by Perkins, question 3.1 Show that the reaction π- + d → n + n + π0 cannot occur for pions at rest. the π's are pions, the d is a deuterium, and the n's are obviously neutrons. Homework Equations Conservation laws I started...

I am doing an introductory Probability course this semester and the textbook we are set to use is 'A first course in Probability' by Sheldon Ross. However, upon reading reviews from amazon and elsewhere, it appears this book is not that helpful and 'is the WORST book I have ever used' and 'the...

Hello! I know some people on the forum are computational neuroscientists (or related fields), and I was wondering if anyone could recommend a good introductory book. One that goes step-by-step through how the equations come about and why they are the way they are. Rather than books that...

At my university, the following topics are covered between Linear Algebra and Abstract Algebra. Linear Algebra 1: Linear equations, matrices, vector spaces, linear transformations, determinants, eigenvalues and inner-product spaces Abstract Algebra 1: Sets and mappings, groups and...

Hi, I'm taking an introductory course on solid state physics next semester, and the book the Professor has chosen is the 8th edition of Kittel. I have heard MANY bad things about this book, so I'm wondering if I should just use an earlier edition or another book entirely. Any...

This is for a 2nd year undergraduate course at community college. The course description says it covers: atomic and nuclear physics, relativity, space physics, and elementary particle physics. Which book would help me through this course?

I have read a lot about Dark Energy in books meant for the general public and I would really like to learn more. I am a junior undergrad physics and math major. Can anyone recommend a good introductory book/article that is appropriate for an undergraduate? Thanks!

Homework Statement Hey guy's I am kind of struggling with this i would appreciate any help A potter's wheel having a radius 0.49 m and a moment of inertia of 12.1 kg · m2 is rotating freely at 52 rev/min. The potter can stop the wheel in 6.0 s by pressing a wet rag against the rim and...

How important are determinants in a first course on Linear Algebra. In some books it is covered very early after an introduction to matrix algebra but in others it is left to the chpater before eigenvalues and eigenvectors. What is the most appropriate place to situate this topic considering...

Homework Statement The (normalized) wavefunction of the particle is defined as: \psi_n = \sqrt{\frac{2}{L}} \sin \left ({\frac{\pi n}{L} x} \right ) for 0 \leqslant x \leqslant L and \psi_n = 0 otherwise, where L is the length of the one-dimensional box and n is the particle's energy...

Homework Statement limit of the sequence, [xn]=(-3n2+n+1)/(n2-2n+3) Homework Equations I so far know about the definition of a limit, squeeze principle, and lim[xnyn] = 0 if xn or yn goes to 0 The Attempt at a Solution Tried the definition of the limit but the algebra got really...

What will be a well recognized introductory book on statistical inverse problems, for undergraduate mathematicians and statisticians? The book should be written in elementary linear algebra and probability theories, i.e., no functional analysis, no measure theory, etc. Thank you.

I love reading popular sciences books during my free time, and I am particularly interested in physics. So far, I have read about Feynman, Dirac, Heisenberg, Bohr, Pauli, Oppenheimer, Randall, Steven Weinberg...in different books. The problem is that I don't have a background in physics, but I...

We're having a case study project in our intro physics class. We can choose from the ff. topics: kinematics, Newton's laws, momentum, energy, gravitation, SHO, waves, and fluid mech. We are to investigate a case of physical phenomena which exhibits the theories we have studied in class. This...

I have never had an advanced classical mechanics class, only elementary level treatments using mostly Newtonian approaches, on very simple mechanical systems. I'm interested in learning about continuum mechanics, having in mind the applications in the applied field of seismology, which studies...

Information In a hot water system water is heated by burning gas in a boiler. The hot water is then stored in a tank. For every 111J of energy released from the gas, 100 J of energy is absorbed by the water in the boiler. Question B The energy released from the gas but not absorbed by the...

Hi all; I will work master's degree in particle physics and I want an experimental textbook for particle physics, and i have two choices is "Introduction to high energy physics" by Perkins or "particle physics" by B.R. Martin & G. Shaw Can you advise me

Hey guys, Im fairly new to this, but I got this question, "Q1.A firefighter is 20m away from a burning building. She directs the fire hose at an angle of 30 degrees above the horizontal and the water has an initial speed of 30 m/s. At what height does the water hit the building?" I...

The book I currently use for my class is not great with very few examples, watered-down theory, and is bloated. I've searched the forums and found that Halliday and Serway are well received, but I still don't know. Even though my course is supposed to be calculus-based and all the concepts are...

A solution of KOH is prepared by dissolving 2.00g of KOH in water to a final volume of 250mL of solution. What volume of this solution will neutralize 20.0mL of 0.115 mol/L sulfuric acid? Homework Equations C=n/v C1V1=C2V2 n=m/M Attempt at solution First I balanced the equation...

I'm in first-year physics classes and we just wrapped up our solitary chapter on fluid mechanics, which covered the very basics (pressure, Archimedes' Principle, and Bernoulli's equation). I find this more interesting that the classical mechanics we've been doing up till now, so I was wondering...

Hello, every one. I'm more of a lurker than a poster here on these forums, but I have my moments. Here's one. :3 Basically, all I search for is physics books not necessarily targeted at high school students, but shouldn't be overly complicated for one to understand: more specifically, for me...

Homework Statement class Person(object): """Defines a person with dob (date-of-birth, string), gender (two-value string), name (string) and age (integer).""" def __init__(self, dob, gender, name): assert (isinstance(dob,str) and dob.isdigit() and len(dob) == 8), 'dob is...

Folks, I'm self-taught and am currently trying to get up to date about the newest developments in field-emission microscopy and other methods of imaging sub-atomic structures. I'm able to follow (though just barely) Mikhailovskij et al.'s 2009 paper in Physical Review showing electron orbitals...

(A disclaimer: I'm not an expert, having genuine confusion) There is a high concentration of introductory material on wave-particle duality that claims that the uncertainty principle manifests itself identically to the behavior of waves in the macro world. This however appears to be in direct...

Homework Statement Heide boards a spaceship and travels away from Earth at a constant velocity of 0.45c toward Betelgeuse (a red giant star in the constellation Orion). One year later on Earth clocks, Heide’s twin, Hans, boards a second spaceship and follows her at a constant velocity of 0.95c...

Please recommend a good introductory book on Engineering Physics. I'd like to buy a printed book, with a decent number of examples and samples. I've taken Calculus I, and are taking Calculus II this semester.

So I took an analysis class which covered chapters 9 and 10 of Rudin's PMA, for those of you who don't know that's multivariable analysis and differential forms, and I have taken a course in vector calculus but never a proper course on differential geometry. Thus my introduction to the subject...