Linear Algebra (Pure & Applied Mathematics S.) - Hardcover

Lax, Peter D.

Hardcover

ISBN 10: 0471111112 ISBN 13: 9780471111115

Verlag: John Wiley & Sons Inc, 1997

Inhaltsangabe

Linear algebra is the branch of mathematics concerned with linear equations, matrices, determinants, and vector spaces. This overview of the subject offers a unique perspective on linear algebra by a world renowned mathematician.

Über diesen Titel

Über die Autorin bzw. den Autor

PETER D. LAX, PhD, has had a long and distinguished career in mathematics. A student and then colleague of Richard Courant, Fritz John, and K. O. Frederichs, he is considered one of the world's leading mathematicians. He teaches at New York University's Courant Institute of Mathematical Sciences.

Aus dem Klappentext

This introduction to linear algebra by world-renowned mathematician Peter Lax is unique in its emphasis on the analytical aspects of the subject as well as its numerous applications. The book grew out of Dr. Laxs course notes for the linear algebra classes he teaches at New York University. Geared to graduate students as well as advanced undergraduates, it assumes only limited knowledge of linear algebra and avoids subjects already heavily treated in other textbooks. And while it discusses linear equations, matrices, determinants, and vector spaces, it also includes a number of exciting topics that are not covered elsewhere, such as eigenvalues, the Hahn-Banach theorem, geometry, game theory, and numerical analysis. The first four chapters are devoted to the abstract structure of finite dimensional vector spaces. Subsequent chapters deal with determinants as a blend of geometry, algebra, and general spectral theory. Euclidean structure is used to explain the notion of selfadjoint mappings and their spectral theory. Dr. Lax moves on to the calculus of vector and matrix valued functions of a single variable a neglected topic in most undergraduate programs and presents matrix inequalities from a variety of perspectives. Later chapters cover convexity and the duality theorem, describe the basics of normed linear spaces and linear maps between normed spaces, and discuss the dominant eigen-value of matrices whose entries are positive or merely non-negative. The final chapter is devoted to numerical methods and describes Lanczos procedure for inverting a symmetric, positive definite matrix. Eight appendices cover important topics that do not fit into the main thread of the book. Clear, concise, and superbly organized, Linear Algebra is an excellent text for advanced undergraduate and graduate courses and also serves as a handy professional reference.

Details zur Ausgabe

• Verlag: John Wiley & Sons Inc
• Erscheinungsdatum: 1997
• Sprache: Englisch
• ISBN 10: 0471111112
• ISBN 13: 9780471111115
• Einband: Tapa dura
• Anzahl der Seiten: 268
• Kontakt zum Hersteller: Nicht verfügbar
• Verantwortliche Person: Nicht verfügbar