Linear Algebra von Lang, Serge

This book is meant as a text for a first-year graduate course in analysis. In a sense, it covers the same topics as elementary calculus but treats them in a manner suitable for people who will be using it in further mathematical...

Serge Lang is not only one of the top mathematicians of our time, but also an excellent writer. He has made innumerable and invaluable contributions in diverse fields of mathematics and was honoured with the Cole Prize by the American...

This new, revised edition covers all of the basic topics in calculus of several variables, including vectors, curves, functions of several variables, gradient, tangent plane, maxima and minima, potential functions, curve integrals,...

Geometry von Lang, Serge

From the reviews "This is a reprint of the original edition of Lang's 'A First Course in Calculus', which was first published in 1964....The treatment is 'as rigorous as any mathematician would wish it'....[The exercises] are...

This is a second edition of Lang's well-known textbook. It covers all of the basic material of classical algebraic number theory, giving the student the background necessary for the study of further topics in algebraic number theory,...

Undergraduate Analysis von Lang, Serge

Das Buch "Algebra" von Serge Lang ist ein umfassendes Werk, das sich an Hochschulabsolventen und fortgeschrittene Studenten richtet. Es deckt alle wichtigen Bereiche der Algebra ab, einschließlich Gruppentheorie, Ringtheorie,...

What is pi?.- Volumes in higher dimension.- The volume of the ball.- The length of the circle.- The area of the sphere.- Pythagorean triples.- Infinities.- Postscript.

This book provides an introduction to the basic concepts in differential topology, differential geometry, and differential equations, and some of the main basic theorems in all three areas. This new edition includes new chapters,...

If someone told you that mathematics is quite beautiful, you might be surprised. But you should know that some people do mathematics all their lives, and create mathematics, just as a composer creates music. Usually, every time a...