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Fundamentals of Differential Geometry - Serge Lang - Bog - Springer-Verlag New York Inc. - Plusbog.dk

Fundamentals of Differential Geometry - Serge Lang - Bog - Springer-Verlag New York Inc. - Plusbog.dk

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, sections, examples, and exercises. From the reviews: "There are many books on the fundamentals of differential geometry, but this one is quite exceptional; this is not surprising for those who know Serge Lang''s books." --EMS NEWSLETTER

DKK 800.00
1

A First Course in Calculus - Serge Lang - Bog - Springer-Verlag New York Inc. - Plusbog.dk

A First Course in Calculus - Serge Lang - Bog - Springer-Verlag New York Inc. - Plusbog.dk

This fifth edition of Lang''s book covers all the topics traditionally taught in the first-year calculus sequence. Divided into five parts, each section of A FIRST COURSE IN CALCULUS contains examples and applications relating to the topic covered. In addition, the rear of the book contains detailed solutions to a large number of the exercises, allowing them to be used as worked-out examples -- one of the main improvements over previous editions.

DKK 476.00
1

Introduction to Linear Algebra - Serge Lang - Bog - Springer-Verlag New York Inc. - Plusbog.dk

Introduction to Linear Algebra - Serge Lang - Bog - Springer-Verlag New York Inc. - Plusbog.dk

This is a short text in linear algebra, intended for a one-term course. In the first chapter, Lang discusses the relation between the geometry and the algebra underlying the subject, and gives concrete examples of the notions which appear later in the book. He then starts with a discussion of linear equations, matrices and Gaussian elimination, and proceeds to discuss vector spaces, linear maps, scalar products, determinants, and eigenvalues. The book contains a large number of exercises, some of the routine computational type, while others are conceptual.

DKK 476.00
1

Algebra - Serge Lang - Bog - Springer-Verlag New York Inc. - Plusbog.dk

Algebra - Serge Lang - Bog - Springer-Verlag New York Inc. - Plusbog.dk

This book is intended as a basic text for a one year course in algebra at the graduate level or as a useful reference for mathematicians and professionals who use higher-level algebra. This book successfully addresses all of the basic concepts of algebra. For the new edition, the author has added exercises and made numerous corrections to the text. From MathSciNet''s review of the first edition: "The author has an impressive knack for presenting the important and interesting ideas of algebra in just the "right" way, and he never gets bogged down in the dry formalism which pervades some parts of algebra."

DKK 470.00
1

Complex Analysis - Serge Lang - Bog - Springer-Verlag New York Inc. - Plusbog.dk

Complex Analysis - Serge Lang - Bog - Springer-Verlag New York Inc. - Plusbog.dk

Now in its fourth edition, the first part of this book is devoted to the basic material of complex analysis, while the second covers many special topics, such as the Riemann Mapping Theorem, the gamma function, and analytic continuation. Power series methods are used more systematically than is found in other texts, and the resulting proofs often shed more light on the results than the standard proofs. While the first part is suitable for an introductory course at undergraduate level, the additional topics covered in the second part give the instructor of a gradute course a great deal of flexibility in structuring a more advanced course.

DKK 551.00
1

Undergraduate Analysis - Serge Lang - Bog - Springer-Verlag New York Inc. - Plusbog.dk

Undergraduate Analysis - Serge Lang - Bog - Springer-Verlag New York Inc. - Plusbog.dk

This logically self-contained introduction to analysis centers around those properties that have to do with uniform convergence and uniform limits in the context of differentiation and integration. From the reviews: "This material can be gone over quickly by the really well-prepared reader, for it is one of the book’s pedagogical strengths that the pattern of development later recapitulates this material as it deepens and generalizes it." --AMERICAN MATHEMATICAL SOCIETY

DKK 510.00
1

Linear Algebra - Serge Lang - Bog - Springer-Verlag New York Inc. - Plusbog.dk

Linear Algebra - Serge Lang - Bog - Springer-Verlag New York Inc. - Plusbog.dk

This book begins with an exposition of the basic theory of vector spaces and proceeds to explain the fundamental structure theorem for linear maps, including eigenvectors and eigenvalues, quadratic and hermitian forms, diagnolization of symmetric, hermitian, and unitary linear maps and matrices, triangulation, and Jordan canonical form. Material in this new edition has been rewritten and reorganized and new exercises have been added.

DKK 392.00
1

Calculus of Several Variables - Serge Lang - Bog - Springer-Verlag New York Inc. - Plusbog.dk

Calculus of Several Variables - Serge Lang - Bog - Springer-Verlag New York Inc. - Plusbog.dk

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, Green''s theorem, multiple integrals, surface integrals, Stokes'' theorem, and the inverse mapping theorem and its consequences. It includes many completely worked-out problems.

DKK 510.00
1

Real and Functional Analysis - Serge Lang - Bog - Springer-Verlag New York Inc. - Plusbog.dk

Real and Functional Analysis - Serge Lang - Bog - Springer-Verlag New York Inc. - Plusbog.dk

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 investigations. The organization avoids long chains of logical interdependence, so that chapters are mostly independent. This allows a course to omit material from some chapters without compromising the exposition of material from later chapters.

DKK 468.00
1

Sun, Earth and Sky - Kenneth R. Lang - Bog - Springer-Verlag New York Inc. - Plusbog.dk

Sun, Earth and Sky - Kenneth R. Lang - Bog - Springer-Verlag New York Inc. - Plusbog.dk

Written in a light and friendly style, this lavishly illustrated book introduces the Sun and its physics, and describes all aspects of the Sun''s interaction with us on Earth. The second edition of this book updates the popular text by providing comprehensive accounts of the most recent discoveries made by five modern solar spacecraft during the past decade. It contains a number of images never before seen in print. Breakthrough observations with the underground Sudbury Neutrino Observatory are also included. The new edition further provides modern interpretations of ozone depletion and global warming.

DKK 366.00
1

A Companion to Astronomy and Astrophysics - Kenneth R. Lang - Bog - Springer-Verlag New York Inc. - Plusbog.dk

A Companion to Astronomy and Astrophysics - Kenneth R. Lang - Bog - Springer-Verlag New York Inc. - Plusbog.dk

Astronomy and Astrophysics is a comprehensive, fundamental, up-to-date reference book. It is filled with vital information and basic facts for amateur astronomers and professional astrophysicists, and for anyone interested in the Universe, from the Earth and other planets to the stars, galaxies and beyond. Although serious and thorough, the language, and ideas will attract the general reader, as well as students and professionals. Astronomy and Astrophysics consists of two main parts, a Timeline and a Dictionary. The Timeline is a concise history, arranged chronologically, which provides the complete story of cosmic discovery from early Chinese and Greek astronomy to the latest findings of modern astrophysics and robotic spacecraft. It provides a sense of destination and flow in our growing awareness of the Universe. Each entry in the unfolding narrative is written in a concise, light and friendly style that will be appreciated by all, without being weighted down with incomprehensible specialized terms. The story of science is one of individuals, as well as discoveries and ideas. So our Timeline includes the people who have made major scientific contributions that are related to astronomy, and astrophysics. The Dictionary defines all terms and acronyms that deal with our celestial science, from important concepts to individual objects and space missions. It is arranged alphabetically and complemented by numerous tables of fundamental data for bright cosmic objects, including the celestial coordinates required to observe them. Line drawings are also used to forcefully compact a scientific insight, with clear labels and captions. An exceptionally thorough Index cross-references concepts, discoveries and individuals in both the Timeline and Dictionary. The combined result is a unique, comprehensive, stand-alone reference volume in which the reader can quickly locate information, while also discovering new and unexpected knowledge.

DKK 468.00
1

Problems and Solutions for Complex Analysis - Rami Shakarchi - Bog - Springer-Verlag New York Inc. - Plusbog.dk

Problems and Solutions for Complex Analysis - Rami Shakarchi - Bog - Springer-Verlag New York Inc. - Plusbog.dk

All the exercises plus their solutions for Serge Lang''s fourth edition of "Complex Analysis," ISBN 0-387-98592-1. The problems in the first 8 chapters are suitable for an introductory course at undergraduate level and cover power series, Cauchy''s theorem, Laurent series, singularities and meromorphic functions, the calculus of residues, conformal mappings, and harmonic functions. The material in the remaining 8 chapters is more advanced, with problems on Schwartz reflection, analytic continuation, Jensen''s formula, the Phragmen-Lindeloef theorem, entire functions, Weierstrass products and meromorphic functions, the Gamma function and Zeta function. Also beneficial for anyone interested in learning complex analysis.

DKK 561.00
1