KESHAVA SUNDARA'S BOOK FOR MATHEMATICAL PHYSICS PSYCHOS

THIS IS A PRELIMINARY LIST BUT HERE GOES IT. I SUGGEST YOU STUDY THESE BOOKS CAREFULLY AND NOT RUSH. I PROVIDE HINTS IF NECESSARY. SOME OF THESE BOOKS ARE VERY HARD AND CONTAIN MORE THAN NECESSARY FOR STUDY IN MP BUT YOU SHOULD HAVE THEM ON YOUR REFERENCE SHELF TO BE A BAD ASSS IN THE FIELD, OK?

  1. NUMBER ONE IS PAULI'S LECTURES ON WAVE MECHANICS PUBLISHED BY DOVER, OK? VERY SERIOUS BUSINESS
  2. CURVATURE BY SHLOMO STERNBERG. NOT A PRETTY NAME THAT MAN HAS BUT THIS IS A SERIOUS BOOK YOU NEED TO READ IF YOU WANT TO MASTER DIFFERENTIAL GEOMETRY THE HARD WAY WITHOUT READING DOO-DOO BRAIN KOBAYASHI AND NOMIZU
  3. PARTIAL DIFFERENTIAL EQUATIONS BY LOKENATH DEBNATH. HIS NAME MEANS LORD OF THE WORLDS, LORD OF THE GODS, OKAY? BETTER GET THIS ONE IF YOU WANT TO BE LORD OF THE LOKENATH DEBNATH, AKA LORD OF THE SCHRODINGER GOD EQUATION AND SOME OTHER FANCY STUFF LIKE THE LAX METHOD OF SOLVING PDE'S...NOT REALLY A GREAT BOOK BUT A GREAT REFERENCE FOR DOO-DOO BRAINS WHO WANT TO SOLVE BIG PDES LIKE NON-DOO-DOO BRAINS
  4. KREYSZIG - DIFFERENTIAL GEOMETRY - YES GET THIS ONE. ONLY DIFFERENTIAL GEOMETRY I'VE SEEN WITH A GOOD PICTURE OF THE DIFFERENCE BETWEEEN CONTRAVARIANT AND COVARIANT COMPONENT OF A VECTOR. NOT PRETTY BUT USEFUL. OLD SCHOOL. YOU NEED THIS STUFF TO MAKE THE LEAP INTO STUFF LIKE STERNBERG. THIS IS SACRED SCRIPTURE.
  5. QUANTUM FIELD THEORY DEMYSTIFIED BY MCMAHON - NOT A NICE GUY BUT HE WROTE THE ONLY REAL BOOK ON QFT EASY ENOUGH TO FOLLOW ON YOUR OWN THANK GOD. I DON'T RECOMMEND IT BUT IF YOU WANT TO LEARN WHAT THE HIGGS BOSON IS, HERE'S YOUR BOOK.
  6. ELEMENTARY DIFFERENTIAL EQUATIONS AND BOUNDARY VALUE PROBLEMS BY BOYCE AND DIPRIMA- BETTA HAVE SOME ELEMENTARY DE BEFORE YOU TOUCH DEBNATH. HERE'S A CHEAP ONE IF YOU GET IT USED. DEBNATH IS CUTE BUT THIS IS A LOT CUTER. HAVE FUN. DE IS EASY, PDE IS NOT, SHOULD BE YOUR PHILOSOPHY AS A YOUNG MATHEMATICAL PHYSICIST...
  7. MATRIX THEORY BY JOEL FRANKLIN - NOT THE PRETTIEST BUT YOU HAVE TO GET YOUR HANDS DIRTY IF YOU WANT TO UNDERSTAND DETERMINANTS. ALSO CONTAINS IMPORTANT TOPICS FOR APPLIED MATHEMATICS LIKE THE JORDAN CANONICAL FORM SO GET YOUR FEET WET GENTLEMAN. IMPORTANT BOOK HERE FOR REFERENCE.
  8. LINEAR ALGEBRA BY MARCUS AND MINC - NOT THE GREATEST AND NOT THE LAST BUT GUESS WHAT? THERE AREN'T TOO MANY LEAN AND MEAN LINEAR ALGEBRA BOOKS WRITTEN BY GENTLEMAN SO GET THIS ONE.
  9. GROUPS AND SYMMETRIES - SCHWARZBACH. UNAFRAID TO SAY THIS IS THE ONLY BOOK ON THE LIE GROUPS SUBJECT THAT LOOKS AUTHORITATIVE AND DOESN'T ASK TO SNIP YOUR FORESKIN BEFORE READING IT, THAT IS, WHATEVER THAT BOURBAKI INFANT RITUAL IS. IT'S PRETTY BAD BUT IT LOOKS BETTER THAN OTHERS. DON'T READ IT IF IT BUGS YOU BUT YOU NEED A BOOK LIKE THIS THAT COVERS THE SAME MATERIAL RIGOROUSLY BECAUSE MOST PHYSICS BOOKS, OR ALL OF THEM, ARE TERRILE AT IT.
  10. FIRST ORDER MATHEMATICAL LOGIC. AS FAR AS I KNOW THERE'S ONLY ONE BOOK WITH THIS TITLE AND THEY SHOULD KEEP IT THAT WAY BECAUSE IT'S GOOD. YOU AREN'T A MATHEMATICIAN IF YOU DON'T KNOW HOW TO WRITE YOUR PROOF IN THIS SORT OF LANGUAGE. GOT IT?