By Lillian R. Lieber

“Oh, what a pleasant publication! this can be the clearest rationalization of relativity available—and the main enjoyable. It’s nice to have it to be had back. even if you’re a scientist, you'll savour this book.”—Walter Isaacson, writer of *Einstein: His existence and Universe*

Using “just sufficient arithmetic to aid and never to prevent the lay reader,” Lillian R. Lieber offers an intensive rationalization of Albert Einstein’s conception of relativity. Her pleasant variety, together along with her husband’s captivating illustrations, makes for an attractive and available examine some of the most celebrated principles of all times.

“A transparent and bright exposition of the basic principles and techniques of the speculation of relativity…can be warmly instructed specially to people who can't spend an excessive amount of time at the subject.”—Albert Einstein

“If you recognize high-school math, aren't petrified of equations, and wish to determine what Einstein rather acknowledged, learn Lillian Lieber’s e-book. she is going to lead you thru detailed and basic relativity, supporting you at each step to appreciate the basic equations, together with tensors, with extraordinary readability and conciseness. This uniquely fascinating booklet is still as bright as ever or even extra beneficial, due to the wonderful new foreward and notes by way of David Derbes and Robert Jantzen.”—Peter Pesic, writer of *Abel’s evidence: An Essay at the resources and which means of Mathematical Unsolvability* and *Sky in a Bottle*

“Does the character of time fascinate you? Does gravity appear a mysterious topic? Are you curious about studying simply what it really is that Einstein truly did that made him so well-known? Then this excellent ebook is simply the object. I learn the unique 1945 version whilst i used to be a high-school scholar within the Nineteen Fifties, and it had a massive influence on me. I are expecting a similar event for you, or even a younger pal, with this new, up-to-date edition.”—Paul J. Nahin, writer of *Time Machines*, *Oliver Heaviside*, and *Dr. Euler’s impressive Formula*

**Lillian R. Lieber** was once a professor and head of the dep. of arithmetic at manhattan collage. She wrote a sequence of lighthearted (and well-respected) math books, lots of them illustrated through her husband, **Hugh grey Lieber**.

**David Derbes** teaches physics on the collage of Chicago Laboratory Schools.

**Robert Jantzen** is a professor of arithmetic at Villanova University.

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## Extra info for The Einstein Theory of Relativity: A Trip to the Fourth Dimension

Yet, because there are 3 simple devices in Physics and because the Lorentz transformation offers with merely of them, size and time, the query now easy methods to get the is MASS Einstein came across into the online game. technique that the simplest to this tough challenge used to be through the Conservation legislation of Classical Physics. Then, simply because the previous idea of the gap among issues (three-dimensional) used to be "stepped up" to the recent one of many period among occasions (four-dimensional), (see p. sixty seven) so additionally the Conservation legislation must be "stepped up" into 4-dimensional SPACE-TIME.

Neither is it right to imagine that (again as Michelson did) varied observers, which might suggest that either observers agree of their time measurements. for those principles have been contradicted via Michelson's EXPERIMENTS, which have been so ingeniously devised and so accurately played. And so Einstein stated that rather than beginning with such rules, and basing our reasoning on them, allow us to really commence WITH THE EXPERIMENTAL info, and spot they to what relationships will lead us, relationships among the size and time measurements of alternative observers.

T^- \ \ \ J 6 \ the connection among the primed coordinates and the unique ones/ and reveals this to x anc y = = be expressed x'cosfl x'sinfl - + as follows:* /sine ) /cos0 / the place 6 is the perspective by which the axes were revolved, as proven within the determine above. The equations (20) remind one a bit of the Lorentz transformation (p. 19), because the equations of *Seep. 310. sixty one (20) the Lorentz transformation additionally express how to cross from one coordinate method to a different.

Appears to be like that truth (2) calls for the rate of sunshine relocating EARTH quite TO THE to be v (see diagram on p. 36), c while *FACT truth (1) (1) calls for can be the speed of RELATIVE TO c, and to be c. * re-stated as follows: gentle A relocating (For instance, an observer at the relocating earth) needs to be it now not c vt for another way, he will be capable of finding v that's opposite to truth. , 38 OBSERVER And so the 2 proof contradict one another! Or, If, declaring it differently: one moment, strikes from E in the earth to E' whereas a ray of sunshine, is going from the earth to L , then FACT(1) E'/.

The No! the rate of the bullet, really TO the floor, is v + u , because the bullet now propelled ahead personal pace, u , is not just wiih its given to the strength of the gun, it via yet, in addition, has an inertia! pace, v , which it has received from the movement of the educate and which is shared by way of gadgets at the teach. all yet in the case of the sound wave a sequence of pulsations, (which exchange condensations and rarefactions of the air is in fast succession), the 1st condensation shaped in the local of the whistle, out with the speed u travels quite to the medium, regardless to whether the teach So is that this has in simple terms and does its relocating or now not.