Best Reference Books – Linear, Matrix, Banach, Commutative, Lie Groups and Lie Algebra

«
»
We have compiled the list of Top 10 Best Reference Books on Linear, Matrix, Banach, Commutative, Lie Groups and Lie Algebra subject. These books are used by students of top universities, institutes and colleges. Here is the full list of top 10 best books on Linear, Matrix, Banach, Commutative, Lie Groups and Lie Algebra along with reviews.

Kindly note that we have put a lot of effort into researching the best books on Linear, Matrix, Banach, Commutative, Lie Groups and Lie Algebra subject and came out with a recommended list of top 10 best books. The table below contains the Name of these best books, their authors, publishers and an unbiased review of books on "Linear, Matrix, Banach, Commutative, Lie Groups and Lie Algebra" as well as links to the Amazon website to directly purchase these books. As an Amazon Associate, we earn from qualifying purchases, but this does not impact our reviews, comparisons, and listing of these top books; the table serves as a ready reckoner list of these best books.

1. “Algebra II Workbook For Dummies” by Mary Jane Sterling

“Algebra II Workbook For Dummies” Book Review: This book focuses on solving many types of Algebra II problems in a step–by–step manner. Each problem has explanations to sharpen skills and improve performance. The book covers linear and quadratic equations, polynomials, inequalities, graphs, sequences and sets. Complex numbers, matrices, algebra with step by step answers are covered in the book.

2. “Schaum’s Outline of Linear Algebra, 5th Edition: 612 Solved Problems + 25 Videos” by Seymour Lipschutz

advertisement
“Schaum’s Outline of Linear Algebra, 5th Edition: 612 Solved Problems + 25 Videos” Book Review: This book includes 612 fully solved problems, examples, and practice exercises to sharpen problem-solving skills. The book features 25 detailed videos of maths instructors who explain how to solve the most commonly tested problems. Topic wise format with examples, solved problems, and practice exercises are all covered in this book.

3. “3,000 Solved Problems in Linear Algebra (Schaum’s Solved Problems Series)” by Seymour Lipschutz

“3,000 Solved Problems in Linear Algebra (Schaum’s Solved Problems Series)” Book Review: This book has 3000 solved problems with complete solutions, an index to locate the types of problems and techniques for choosing the correct approach to problems.

4. “Matrix Algebra: Exercises and Solutions” by David A Harville

advertisement
advertisement
“Matrix Algebra: Exercises and Solutions” Book Review: This book contains 300 exercises and solutions of topics in matrix algebra. The book includes detailed summaries of all relevant terminology and notation. The book covers topics on special interest and relevance in statistics and related disciplines. This book will act as a guide for students and researchers in matrix algebra and also to mathematicians and statisticians. The book also encourages an active environment in the learning process.

5. “Lie Groups and Lie Algebras for Physicists” by Susumu Okubo and Ashok Das

“Lie Groups and Lie Algebras for Physicists” Book Review: This book is beneficial for graduate students of theoretical physics and quantum mechanics as well as researchers interested in applications of Lie group theory and Lie algebras in physics. This book focuses on inter-relations of representation theories of Lie groups and the corresponding Lie algebras.

6. “Lie Groups Lie Algebras And Some Of Their Applications” by Robert Gilmore

advertisement
“Lie Groups Lie Algebras And Some Of Their Applications” Book Review: This book helps the upper-level undergraduate students to have clear concepts regarding Lie group theory and its physical applications. This book is designed for modern physical theories. The calculations remain unchanged from one field of physics to another, altering only in terms of symbols and the language. The book introduces classical groups, continuous groups, Lie groups and Lie algebra. The book also contains root spaces and Dynkin diagrams, real forms, and contractions and expansions. Numerous exercises, solved problems, figures and illustrations are all included.

7. “Complex Semisimple Lie Algebras” by Jean-Pierre Serre and Glen Jones

“Complex Semisimple Lie Algebras” Book Review: This book provides the basic theory of semi simple Lie algebras over the complex numbers. This book covers topics on the general properties of nilpotent, solvable, cartan subalgebras, root systems, and linear representations. Connection between Lie algebras, complex groups and compact groups are all mentioned in the book.

8. “Non-commutative Gelfand Theories: A Tool-kit for Operator Theorists and Numerical Analysts (Universitext)” by Steffen Roch and Pedro A Santos

advertisement
“Non-commutative Gelfand Theories: A Tool-kit for Operator Theorists and Numerical Analysts (Universitext)” Book Review: This book introduces basic concepts for the study of Banach algebras. The book contains an algebra with a so-called polynomial identity or in short Pl-algebra. The book also highlights a number of selected examples used to demonstrate how this theory can be successfully applied to problems in operator theory and numerical analysis. Non-commutative Gelfand theories, PI-algebras, Mellin techniques and limit operator techniques are mentioned in the book. It helps the readers with fundamental knowledge of analysis, functional analysis and algebra. This book is suitable to the 4th year students of mathematics or physics, to researchers in the areas of operator theory, numerical analysis, and the general theory of Banach algebras.

9. “Banach Embedding Properties of Non-Commutative $Lp$-Spaces” by Haagerup and Rosenthal

“Banach Embedding Properties of Non-Commutative $Lp$-Spaces” Book Review: This book covers thirteen isomorphism types and the corresponding embedding properties via an eight level Hasse diagram.

10. “Linear Algebraic Groups” by T A Springer

advertisement
“Linear Algebraic Groups” Book Review: This book highlights the theory of linear algebraic groups over an algebraically closed field. The book also covers the theory of arbitrary fields, self-contained treatment of the prerequisites from algebraic geometry and commutative algebra, as well as basic results on reductive groups. This book acts as a guide for introductory graduate courses on linear algebraic groups.

People who are searching for Free downloads of books and free pdf copies of these top 10 books on Linear, Matrix, Banach, Commutative, Lie Groups and Lie Algebra – we would like to mention that we don’t have free downloadable pdf copies of these good books and one should look for free pdf copies from these Authors only if they have explicitly made it free to download and read them.

We have created a collection of best reference books on "Linear, Matrix, Banach, Commutative, Lie Groups and Lie Algebra" so that one can readily see the list of top books on "Linear, Matrix, Banach, Commutative, Lie Groups and Lie Algebra" and buy the books either online or offline.

If any more book needs to be added to the list of best books on Linear, Matrix, Banach, Commutative, Lie Groups and Lie Algebra subject, please let us know.

Sanfoundry Global Education & Learning Series – Best Reference Books!

Participate in the Sanfoundry Certification contest to get free Certificate of Merit. Join our social networks below and stay updated with latest contests, videos, internships and jobs!
advertisement
advertisement
Manish Bhojasia - Founder & CTO at Sanfoundry
Manish Bhojasia, a technology veteran with 20+ years @ Cisco & Wipro, is Founder and CTO at Sanfoundry. He is Linux Kernel Developer & SAN Architect and is passionate about competency developments in these areas. He lives in Bangalore and delivers focused training sessions to IT professionals in Linux Kernel, Linux Debugging, Linux Device Drivers, Linux Networking, Linux Storage, Advanced C Programming, SAN Storage Technologies, SCSI Internals & Storage Protocols such as iSCSI & Fiber Channel. Stay connected with him @ LinkedIn | Youtube | Instagram | Facebook | Twitter