Advanced Linear Algebra

ยท Textbooks in Mathematics แžŸแŸ€แžœแž—แŸ…แž‘แžธ 38 ยท CRC Press
แžŸแŸ€แžœแž—แŸ…โ€‹แžขแŸแžกแžทแž…แžแŸ’แžšแžผแž“แžทแž…
349
แž‘แŸ†แž–แŸแžš
แž˜แžถแž“แžŸแžทแž‘แŸ’แž’แžท
แž€แžถแžšแžœแžถแž™แžแž˜แŸ’แž›แŸƒ แž“แžทแž„แž˜แžแžทแžœแžถแž™แžแž˜แŸ’แž›แŸƒแž˜แžทแž“แžแŸ’แžšแžผแžœแž”แžถแž“แž•แŸ’แž‘แŸ€แž„แž•แŸ’แž‘แžถแžแŸ‹แž‘แŸ แžŸแŸ’แžœแŸ‚แž„แž™แž›แŸ‹แž”แž“แŸ’แžแŸ‚แž˜

แžขแŸ†แž–แžธแžŸแŸ€แžœแž—แŸ…โ€‹แžขแŸแžกแžทแž…แžแŸ’แžšแžผแž“แžทแž€แž“แŸแŸ‡

Advanced Linear Algebra features a student-friendly approach to the theory of linear algebra. The authorโ€™s emphasis on vector spaces over general fields, with corresponding current applications, sets the book apart. He focuses on finite fields and complex numbers, and discusses matrix algebra over these fields. The text then proceeds to cover vector spaces in depth. Also discussed are standard topics in linear algebra including linear transformations, Jordan canonical form, inner product spaces, spectral theory, and, as supplementary topics, dual spaces, quotient spaces, and tensor products.

Written in clear and concise language, the text sticks to the development of linear algebra without excessively addressing applications. A unique chapter on "How to Use Linear Algebra" is offered after the theory is presented. In addition, students are given pointers on how to start a research project. The proofs are clear and complete and the exercises are well designed. In addition, full solutions are included for almost all exercises.

แžขแŸ†แž–แžธโ€‹แžขแŸ’แž“แž€แž“แžทแž–แž“แŸ’แž’

Hugo J. Woerdeman, PhD, professor, Department of Mathematics, Drexel University, Philadelphia, Pennsylvania, USA

แžœแžถแž™แžแž˜แŸ’แž›แŸƒแžŸแŸ€แžœแž—แŸ…โ€‹แžขแŸแžกแžทแž…แžแŸ’แžšแžผแž“แžทแž€แž“แŸแŸ‡

แž”แŸ’แžšแžถแž”แŸ‹แž™แžพแž„แžขแŸ†แž–แžธแž€แžถแžšแž™แž›แŸ‹แžƒแžพแž‰แžšแž”แžŸแŸ‹แžขแŸ’แž“แž€แŸ”

แžขแžถแž“โ€‹แž–แŸแžแŸŒแž˜แžถแž“

แž‘แžผแžšแžŸแž–แŸ’แž‘แž†แŸ’แž›แžถแžแžœแŸƒ แž“แžทแž„โ€‹แžแŸแž”แŸ’แž›แŸแž
แžŠแŸ†แžกแžพแž„แž€แž˜แŸ’แž˜แžœแžทแž’แžธ Google Play Books แžŸแž˜แŸ’แžšแžถแž”แŸ‹ Android แž“แžทแž„ iPad/iPhone แŸ” แžœแžถโ€‹แž’แŸ’แžœแžพแžŸแž˜แž€แžถแž›แž€แž˜แŸ’แž˜โ€‹แžŠแŸ„แž™แžŸแŸ’แžœแŸแž™แž”แŸ’แžšแžœแžแŸ’แžแžทแž‡แžถแž˜แžฝแž™โ€‹แž‚แžŽแž“แžธโ€‹แžšแž”แžŸแŸ‹แžขแŸ’แž“แž€โ€‹ แž“แžทแž„โ€‹แžขแž“แžปแž‰แŸ’แž‰แžถแžแžฑแŸ’แž™โ€‹แžขแŸ’แž“แž€แžขแžถแž“แž–แŸแž›โ€‹แž˜แžถแž“แžขแŸŠแžธแž“แž’แžบแžŽแžทแž แžฌแž‚แŸ’แž˜แžถแž“โ€‹แžขแŸŠแžธแž“แž’แžบแžŽแžทแžโ€‹แž“แŸ…แž‚แŸ’แžšแž”แŸ‹แž‘แžธแž€แž“แŸ’แž›แŸ‚แž„แŸ”
แž€แžปแŸ†แž–แŸ’แž™แžผแž‘แŸแžšโ€‹แž™แžฝแžšแžŠแŸƒ แž“แžทแž„แž€แžปแŸ†แž–แŸ’แž™แžผแž‘แŸแžš
แžขแŸ’แž“แž€แžขแžถแž…แžŸแŸ’แžŠแžถแž”แŸ‹แžŸแŸ€แžœแž—แŸ…แž‡แžถแžŸแŸ†แžกแŸแž„แžŠแŸ‚แž›แž”แžถแž“แž‘แžทแž‰แž“แŸ…แž€แŸ’แž“แžปแž„ Google Play แžŠแŸ„แž™แž”แŸ’แžšแžพแž€แž˜แŸ’แž˜แžœแžทแž’แžธแžšแžปแž€แžšแž€แžแžถแž˜แžขแŸŠแžธแž“แž’แžบแžŽแžทแžแž€แŸ’แž“แžปแž„แž€แžปแŸ†แž–แŸ’แž™แžผแž‘แŸแžšแžšแž”แžŸแŸ‹แžขแŸ’แž“แž€แŸ”
eReaders แž“แžทแž„โ€‹แžงแž”แž€แžšแžŽแŸโ€‹แž•แŸ’แžŸแŸแž„โ€‹แž‘แŸ€แž
แžŠแžพแž˜แŸ’แž”แžธแžขแžถแž“แž“แŸ…แž›แžพโ€‹แžงแž”แž€แžšแžŽแŸ e-ink แžŠแžผแž…แž‡แžถโ€‹แžงแž”แž€แžšแžŽแŸแžขแžถแž“โ€‹แžŸแŸ€แžœแž—แŸ…แžขแŸแžกแžทแž…แžแŸ’แžšแžผแž“แžทแž€ Kobo แžขแŸ’แž“แž€แž“แžนแž„แžแŸ’แžšแžผแžœโ€‹แž‘แžถแž‰แž™แž€โ€‹แžฏแž€แžŸแžถแžš แž แžพแž™โ€‹แž•แŸ’แž‘แŸแžšแžœแžถแž‘แŸ…โ€‹แžงแž”แž€แžšแžŽแŸโ€‹แžšแž”แžŸแŸ‹แžขแŸ’แž“แž€แŸ” แžŸแžผแž˜แžขแž“แžปแžœแžแŸ’แžแžแžถแž˜โ€‹แž€แžถแžšแžŽแŸ‚แž“แžถแŸ†แž›แž˜แŸ’แžขแžทแžแžšแž”แžŸแŸ‹แž˜แž‡แŸ’แžˆแž˜แžŽแŸ’แžŒแž›แž‡แŸ†แž“แžฝแž™ แžŠแžพแž˜แŸ’แž”แžธแž•แŸ’แž‘แŸแžšแžฏแž€แžŸแžถแžšโ€‹แž‘แŸ…แžงแž”แž€แžšแžŽแŸแžขแžถแž“แžŸแŸ€แžœแž—แŸ…โ€‹แžขแŸแžกแžทแž…แžแŸ’แžšแžผแž“แžทแž€แžŠแŸ‚แž›แžŸแŸ’แž‚แžถแž›แŸ‹แŸ”