An Introduction to Tensors and Group Theory for Physicists by Nadir Jeevanjee

By Nadir Jeevanjee

The moment version of this hugely praised textbook offers an creation to tensors, team idea, and their functions in classical and quantum physics. either intuitive and rigorous, it goals to demystify tensors by way of giving the marginally extra summary yet conceptually a lot clearer definition present in the maths literature, after which connects this formula to the part formalism of physics calculations. New pedagogical positive aspects, comparable to new illustrations, tables, and boxed sections, in addition to extra “invitation” sections that supply obtainable introductions to new fabric, supply elevated visible engagement, readability, and motivation for students.

Part I starts off with linear algebraic foundations, follows with the trendy component-free definition of tensors, and concludes with functions to physics by using tensor items. half II introduces workforce conception, together with summary teams and Lie teams and their linked Lie algebras, then intertwines this fabric with that of half I through introducing illustration theory.  Examples and routines are supplied in every one bankruptcy for solid perform in utilizing the awarded fabric and techniques.

Prerequisites for this article comprise the traditional lower-division arithmetic and physics classes, notwithstanding large references are supplied for the stimulated scholar who has now not but had these.  complex undergraduate and starting graduate scholars in physics and utilized arithmetic will locate this textbook to be a transparent, concise, and interesting creation to tensors and groups.

Reviews of the 1st Edition

“[P]hysicist Nadir Jeevanjee has produced a masterly ebook that may support different physicists comprehend these matters [tensors and teams] as mathematicians comprehend them… From the 1st pages, Jeevanjee exhibits outstanding ability find clean, compelling phrases to convey ahead the perception that animates the fashionable mathematical view…[W]ith compelling strength and readability, he presents many conscientiously worked-out examples and well-chosen particular difficulties… Jeevanjee’s transparent and forceful writing offers customary situations with a freshness that might attract and reassure even a nervous student.  [This] is a masterpiece of exposition and rationalization that might win credits for even a pro author.”

—Physics Today

"Jeevanjee’s [text] is a useful piece of labor on numerous counts, together with its exhibit pedagogical provider rendered to fledgling physicists and the truth that it does certainly provide natural mathematicians the way to come to phrases with what physicists are announcing with a similar phrases we use, yet with an ostensibly diversified meaning.  The publication is really easy to learn, very hassle-free, choked with examples...and routines, and should do the activity the writer wishes it to do with style.”

—MAA Reviews

Show description

Read or Download An Introduction to Tensors and Group Theory for Physicists PDF

Similar quantum theory books

Quantum Mechanics on the Macintosh(R)

This tremendous profitable book/disk package deal is helping scholars to quick dispel the secret at the back of the advanced thoughts concerned with quantum mechanics. With greater than 2 hundred difficulties, it presents readers with sensible reports in utilizing such hard-to-visualise techniques as complicated amplitudes, eigenvalues, and scattering pass sections.

Quantum Reality, Relativistic Causality, and Closing the Epistemic Circle: Essays in Honour of Abner Shimony: 73 (The Western Ontario Series in Philosophy of Science)

In July 2006, an enormous foreign convention was once held on the Perimeter Institute for Theoretical Physics, Canada, to have fun the profession and paintings of a awesome guy of letters. Abner Shimony, who's popular for his pioneering contributions to foundations of quantum mechanics, is a physicist in addition to a thinker, and is very revered one of the intellectuals of either groups.

Modifications of Einstein's Theory of Gravity at Large Distances (Lecture Notes in Physics)

Within the previous couple of years transformed gravity theories were proposed as extensions of Einstein's idea of gravity. Their major motivation is to give an explanation for the most recent cosmological and astrophysical facts on darkish strength and darkish subject. The examine of common relativity at small scales has already produced very important effects (cf e.

Characterizing Entanglement and Quantum Correlations Constrained by Symmetry (Springer Theses)

This thesis specializes in the research and characterization of entanglement and nonlocal correlations restricted lower than symmetries. It comprises unique effects in addition to unique tools and reasons for a few varied threads of analysis: confident partial transpose (PPT) entanglement within the symmetric states; a unique, experimentally pleasant technique to observe nonlocal correlations in many-body structures; the non-equivalence among entanglement and nonlocality; and elemental monogamies of correlations.

Additional info for An Introduction to Tensors and Group Theory for Physicists

Example text

Download PDF sample

Rated 4.71 of 5 – based on 7 votes