This concise textbook introduces calculus students to power series through an informal and captivating narrative that avoids formal proofs but emphasizes understanding the fundamental ideas. Power seriesand infinite series in generalare a funda...Lasīt vairāk
This textbook originates from a course taught by the late Ken Ireland in 1972. Designed to explore the theoretical underpinnings of undergraduate mathematics, the course focused on interrelationships and hands-on experience. Readers of this textbo...Lasīt vairāk
This textbook develops the abstract algebra necessary to prove the impossibility of four famous mathematical feats: squaring the circle, trisecting the angle, doubling the cube, and solving quintic equations. All the relevant concepts about fields...Lasīt vairāk
This textbook offers a rigorous presentation of mathematics before the advent of calculus. Fundamental concepts in algebra, geometry, and number theory are developed from the foundations of set theory along an elementary, inquiry-driven path. Thou...Lasīt vairāk
This textbook offers a rigorous presentation of mathematics before the advent of calculus. Fundamental concepts in algebra, geometry, and number theory are developed from the foundations of set theory along an elementary, inquiry-driven path. Thou...Lasīt vairāk
(Izdošanas datums: 21-Oct-2012, Paperback / softback, Izdevniecība: Springer-Verlag New York Inc., ISBN-13: 9781461269120)
The ideas of probability are all around us. Lotteries, casino gambling, the al most non-stop polling which seems to mold public policy more and more these are a few of the areas where principles of probability impinge in a direct way on the lives a...Lasīt vairāk
(Izdošanas datums: 30-Sep-2012, Paperback / softback, Izdevniecība: Springer-Verlag New York Inc., ISBN-13: 9781461269533)
A lively and vivid look at the material from function theory, including the residue calculus, supported by examples and practice exercises throughout. There is also ample discussion of the historical evolution of the theory, biographical sketches of...Lasīt vairāk
Art Knoebel, Reinhard Laubenbacher, Jerry Lodder, David Pengelley
Sērija : Readings in Mathematics
(Izdošanas datums: 14-Aug-2007, Hardback, Izdevniecība: Springer-Verlag New York Inc., ISBN-13: 9780387330600)
Advanced undergraduates will find here an introduction to the excitement of mathematical discovery, through close examination of original historical sources. Each chapter is anchored by a different story sequence of selected primary sources showcasin...Lasīt vairāk
(Izdošanas datums: 26-Oct-1995, Hardback, Izdevniecība: Springer-Verlag New York Inc., ISBN-13: 9780387945514)
This book presents first-year calculus roughly in the order in which it first was discovered. The first two chapters show how the ancient calculations of practical problems led to infinite series, differential and integral calculus and to differentia...Lasīt vairāk
(Izdošanas datums: 22-Aug-1995, Hardback, Izdevniecība: Springer-Verlag New York Inc., ISBN-13: 9780387945446)
This is a textbook on the history, philosophy, and foundations of mathematics. One of its aims is to present some interesting mathematics, not normally taught in other courses, in a historical and philosophical setting. The book is intended mainly fo...Lasīt vairāk
(Izdošanas datums: 22-Oct-1991, Hardback, Izdevniecība: Springer-Verlag New York Inc., ISBN-13: 9780387975276)
The primary goal of these lectures is to introduce a beginner to the finite dimensional representations of Lie groups and Lie algebras. Since this goal is shared by quite a few other books, we should explain in this Preface how our approach differs,...Lasīt vairāk
(Izdošanas datums: 22-Oct-1991, Paperback / softback, Izdevniecība: Springer-Verlag New York Inc., ISBN-13: 9780387974958)
Introducing finite-dimensional representations of Lie groups and Lie algebras, this example-oriented book works from representation theory of finite groups, through Lie groups and Lie algrbras to the finite dimensional representations of the classica...Lasīt vairāk
(Izdošanas datums: 08-Aug-1991, Paperback / softback, Izdevniecība: Springer-Verlag New York Inc., ISBN-13: 9780387976068)
Second Year Calculus: From Celestial Mechanics to Special Relativity covers multi-variable and vector calculus, emphasizing the historical physical problems which gave rise to the concepts of calculus. The book guides us from the birth of the mechani...Lasīt vairāk
Heinz-Dieter Ebbinghaus, Alexander Prestel, John H. Ewing, K. Lamotke, H.L.S. Orde, Hans Hermes, Friedrich Hirzebruch, Max Koecher, Klaus Mainzer, Jürgen Neukirch...
Sērija : Readings in Mathematics
(Izdošanas datums: 19-Dec-1990, Paperback / softback, Izdevniecība: Springer-Verlag New York Inc., ISBN-13: 9780387974972)
This book is about all kinds of numbers, from rationals to octonians, reals to infinitesimals. It is a story about a major thread of mathematics over thousands of years, and it answers everything from why Hamilton was obsessed with quaternions to wha...Lasīt vairāk
(Izdošanas datums: 30-Apr-1990, Hardback, Izdevniecība: Springer-Verlag New York Inc., ISBN-13: 9780387971957)
Covers material from function theory up to residue calculus, including discussion of the historical evolution of the theory, biographical sketches of important contributors, and citations from their classical works. Includes many examples and practic...Lasīt vairāk
(Izdošanas datums: 12-Sep-1988, Paperback / softback, Izdevniecība: Springer-Verlag New York Inc., ISBN-13: 9780387967523)
Readings revive results obtained by geometers of the 19th century. An introduction to concrete algebraic geometry for students with a modest amount of linear algebra. Attention is paid to cross-ratios, conics, quadrics, and various curves and surface...Lasīt vairāk
