neha agrawal dinesh khattar (9 Ergebnisse)

Hardcover. Zustand: New. Contents: 1. Groups. 2. Finite groups and subgroups. 3. Cyclic groups. 4. Permutation groups. 5. Cosets and Lagrange s theorem. 6. Normal subgroups and factor groups. 7. Group homomorphism and isomorphism. 8. Automorphisms. 9. Direct products. 10. Group actions .11. Sylow theorems. Based on the classroom lectures, this textbook is primarily designed for the senior undergraduate/graduate students of Mathematics. The book covers the senior undergraduate mathematics course, meeting the curriculum requirements of most universities. Different concepts have been explained in a very lucid language with the help of solved examples that would help the students to understand the subject matter without further reference. The subject matter has been presented in a somewhat informal manner assuming the language and tone of a classroom lecture putting the readers at ease. This book could be used for self- study as well as for a course text, and so full details of almost all proofs are included along with hundreds of solved problems, to give ample guidance in understanding abstract notions. The solved problems are interspersed throughout the text at places where they naturally arise, making the book ideal for self-study. The proofs are precise and complete, backed up by chapter end problems, with just the right level of difficulty. A common thread runs through the entire book, tying each chapter to the next - the unifying thread being the treatment of the concept of symmetry of objects that do indeed satisfy the definition of a group.

Hardcover. Zustand: New. This textbook has been designed for the UG/PG students of mathematics for all universities in India. It is primarily based on the classroom lectures, the authors gave at the University of Delhi. This book could be used both for self-study as well as course text. Full details of all proofs are included along with innumerous solved problems, interspersed throughout the text and at places where they naturally arise, to understand abstract notions. The proofs are precise and complete, backed up by chapter end problems, with just the right level of difficulty, without compromising the rigor of the subject. The book starts with definition and examples of Rings and logically follows to cover Properties of Rings, Subrings, Fields, Characteristic of a Ring, Ideals, Integral Domains, Factor Rings, Prime Ideals, Maximal Ideals and Primary Ideals, Ring Homomorphisms and Isomorphisms, Polynomial Rings, Factorization of Polynomials and Divisibility in Integral Domains.

Hardcover. Zustand: New. Contents: 1. Vectors. 2. Matrices. 3. System of Linear Equations. 4. Eigenvalues and Diagonalization. 5. Vector Spaces and Linear Transformations. Appendices. Selected Bibliography. Index The book is intended to serve the student as a map through the introductory linear algebra course. To that end, it delivers an elementary treatment of linear algebra - suitable for a beginner course for undergraduate students. Our journey shall take us through vectors, matrices and their connection to systems of linear equations, Gauss-Jordan elimination, eigenvalues, and diagonalization. Students embarking on a linear algebra course should have a comprehensive knowledge of matrices and vectors. The examples and exercises have been cautiously curated to maintain a symmetry between theory and practice. Over the course of five chapters, the book traverses the fundamental material canvassed by most elementary linear algebra courses like vectors, matrices, system of linear equations, eigenvalues, and diagonalization. The gears change in Chapter 5 as students reach the introduction of vector spaces and linear transformations. To supplement this core, we have also included six appendices devoted to trace and determinant of a matrix, minors and cofactors, adjoint of a matrix, applications of linear equations, LU decomposition, and finally, computer graphics.The aim is to present the student with the essentials of linear algebra in the most lucid and crystalline fashion.

Zustand: New.

Paperback. Zustand: Brand New. 342 pages. 9.44x6.61x9.45 inches. In Stock.

Zustand: New.

Zustand: Hervorragend. Zustand: Hervorragend | Sprache: Englisch | Produktart: Bücher.

Hardcover. Zustand: New. Contents: 1. Vector Spaces. 2. Basis and Dimension. 3. Linear Transformations. 4. Matrices of Linear Transformations. 5. Dual Spaces. 6. Diagonalization. 7. Inner Product Spaces. 8. More on Inner Product Spaces. Appendices. Selected Bibliography. Index. Primarily written for a proof-based linear algebra course, this textbook lays down the necessary theoretical foundation of linear algebra. Our aim has been to cover the senior undergraduate mathematics course, meeting the curriculum requirements of most universities. To this end, this book has taken shape from our lecture notes, continuously modified and improved year after year through interaction with students in the classroom and during individual discussions. It is supported by the cumulative weight of our combined teaching experience, which ensures that the final product is uniquely equipped to cater to the needs of students as well as teachers. Another distinguishing feature of the book is that it offers a unified treatment, encompassing both the basics of computations with matrices and the abstract theory, and accentuating the overlaps between the matrix-oriented viewpoint and abstract linear algebraic concepts whenever possible. It is written in an accessible style, with careful thought to the motivation behind new ideas, and close attention to the exploration of difficult definitions and results, once they have been formally stated. In an effort to make our book more inviting and stimulating than others, we have incorporated interesting tidbits from the history of the concepts we have tackled into our discussions of those concepts.

Zustand: Gut. Zustand: Gut | Sprache: Englisch | Produktart: Bücher.