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› Find signed collectible books: '21 Years of World Cup Ski Racing'
The inside story of World Cup Ski Racing by its founder
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› Find signed collectible books: 'Algebra'
This basic text for a one-year course in algebra at the graduate level thoroughly prepares students to handle the algebra they will use in all of mathematics. The author assumes that students have a basic familiarity with the language of mathematics "i.e.: sets and mapping, integers, and rational numbers." The text was thoroughly revised and enhanced in response to reviewers' comments and suggestions. Designed to improve students' retention and comprehension, the text is divided into four parts. The first introduces the basic notions of algebra. The second covers the direction of algebraic equations, including the Galois theory, and the final two parts cover the direction of linear and multilinear algebra.
› Find signed collectible books: 'Algebra (World Student)'
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› Find signed collectible books: 'Algebraic Numbers'
The purpose of this book is to give an exposition of the classical and basic algebraic and analytic number theory. In a certain sense the plan of the book is still that used more or less by Hilbert in his Bericht, although, or course, both the algebraic and analytic aspects of number theory have been updated (and the class field theory omitted). --- from book's dustjacket
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› Find signed collectible books: 'Algebraic Structures'
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› Find signed collectible books: 'Analysis I (Addison-Wesley series in mathematics)'
Book by Lang, Serge
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› Find signed collectible books: 'Analysis: I (World Student)'
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› Find signed collectible books: 'Basic Analysis of Regularized Series and Products (Lecture Notes in Mathematics)'
Analytic number theory and part of the spectral theory of operators (differential, pseudo-differential, elliptic, etc.) are being merged under a more general analytic theory of regularized products of certain sequences satisfying a few basic axioms. The most basic examples consist of the sequence of natural numbers, the sequence of zeros with positive imaginary part of the Riemann zeta function, and the sequence of eigenvalues, say of a positive Laplacian on a compact or certain cases of non-compact manifolds. The resulting theory is applicable to ergodic theory and dynamical systems; to the zeta and L-functions of number theory or representation theory and modular forms; to Selberg-like zeta functions; and to the theory of regularized determinants familiar in physics and other parts of mathematics. Aside from presenting a systematic account of widely scattered results, the theory also provides new results. One part of the theory deals with complex analytic properties, and another part deals with Fourier analysis. Typical examples are given. This LNM provides basic results which are and will be used in further papers, starting with a general formulation of Cram r's theorem and explicit formulas. The exposition is self-contained (except for far-reaching examples), requiring only standard knowledge of analysis.
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› Find signed collectible books: 'Basic Mathematics'
This is a text in basic mathematics with multiple uses for either high school or college level courses. Readers will get a firm foundation in basic principles of mathematics which are necessary to know in order to go ahead in calculus, linear algebra or other topics.
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› Find signed collectible books: 'Calculus: 1st Course'
› Find signed collectible books: 'Calculus of Several Variables'
This is a new, revised edition of this widely known text. All of the basic topics in calculus of several variables are covered, 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. The presentation is self-contained, assuming only a knowledge of basic calculus in one variable. Many completely worked-out problems have been included.
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› Find signed collectible books: 'Calculus of Several Variables (Addison-Wesley series in mathematics)'
This is a new, revised edition of this widely known text. All of the basic topics in calculus of several variables are covered, 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. The presentation is self-contained, assuming only a knowledge of basic calculus in one variable. Many completely worked-out problems have been included.
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› Find signed collectible books: 'Challenges'
This collection, based on several of Lang's "Files" deals with the area where the worlds of science and academia meet those of journalism and politics: social organisation, government, and the roles that education and journalism play in shaping opinions. In discussing specific cases in which he became involved, Lang addresses general questions of standards: standards of journalism, discourse, and of science. Recurring questions concern how people process information and misinformation; inhibition of critical thinking and the role of education; how to make corrections, and how attempts at corrections are sometimes obstructed; the extent to which we submit to authority, and whether we can hold the authorities accountable; the competence of so-called experts; and the use of editorial and academic power to suppress or marginalize ideas, evidence, or data that do not fit the tenets of certain establishments. By treating case studies and providing extensive documentation, Lang challenges some individuals and establishments to reconsider the ways they exercise their official or professional responsibilities.
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› Find signed collectible books: 'Collected Papers V: 1993-1999 (Collected Papers of Serge Lang)'
Serge Lang (1927-2005) was one of the top mathematicians of our time. He was born in Paris in 1927, and moved with his family to California, where he graduated from Beverly Hills High School in 1943. He subsequently graduated from California Institute of Technology in 1946, and received a doctorate from Princeton University in 1951 before holding faculty positions at the University of Chicago and Columbia University (1955-1971). At the time of his death he was professor emeritus of Mathematics at Yale University. An excellent writer, Lang has made innumerable and invaluable contributions in diverse fields of mathematics. He was perhaps best known for his work in number theory and for his mathematics textbooks, including the influential Algebra. He was also a member of the Bourbaki group. He was honored with the Cole Prize by the American Mathematical Society as well as with the Prix Carrière by the French Academy of Sciences. These five volumes collect the majority of his research papers, which range over a variety of topics.
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› Find signed collectible books: 'Complex Analysis (Addison-Wesley series in mathematics)'
The present book is meant as a text for a course on complex analysis at the advanced undergraduate level, or first-year graduate level. The first half, more or less, can be used for a one-semester course addressed to undergraduates. The second half can be used for a second semester, at either level. Somewhat more material has been included than can be covered at leisure in one or two terms, to give opportunities for the instructor to exercise individual taste, and to lead the course in whatever directions strikes the instructor's fancy at the time as well as extra read ing material for students on their own. A large number of routine exer cises are included for the more standard portions, and a few harder exercises of striking theoretical interest are also included, but may be omitted in courses addressed to less advanced students. In some sense, I think the classical German prewar texts were the best (Hurwitz-Courant, Knopp, Bieberbach, etc. ) and I would recommend to anyone to look through them. More recent texts have emphasized connections with real analysis, which is important, but at the cost of exhibiting succinctly and clearly what is peculiar about complex analysis: the power series expansion, the uniqueness of analytic continuation, and the calculus of residues.
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› Find signed collectible books: 'Cyclotomic Fields II (Graduate Texts in Mathematics)'
Book by Lang, Serge
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› Find signed collectible books: 'Differential and Riemannian Manifolds (Graduate Texts in Mathematics)'
This is the third version of a book on differential manifolds. The first version appeared in 1962, and was written at the very beginning of a period of great expansion of the subject. At the time, I found no satisfactory book for the foundations of the subject, for multiple reasons. I expanded the book in 1971, and I expand it still further today. Specifically, I have added three chapters on Riemannian and pseudo Riemannian geometry, that is, covariant derivatives, curvature, and some applications up to the Hopf-Rinow and Hadamard-Cartan theorems, as well as some calculus of variations and applications to volume forms. I have rewritten the sections on sprays, and I have given more examples of the use of Stokes' theorem. I have also given many more references to the literature, all of this to broaden the perspective of the book, which I hope can be used among things for a general course leading into many directions. The present book still meets the old needs, but fulfills new ones. At the most basic level, the book gives an introduction to the basic concepts which are used in differential topology, differential geometry, and differential equations. In differential topology, one studies for instance homotopy classes of maps and the possibility of finding suitable differentiable maps in them (immersions, embeddings, isomorphisms, etc.).
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› Find signed collectible books: 'Differential Manifolds.'
Shipped from UK, please allow 10 to 21 business days for arrival. 230pp. ex. lib. Good condition.
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› Find signed collectible books: 'Elliptic Curves: Diophantine Analysis'
It is possible to write endlessly on elliptic curves. (This is not a threat.) We deal here with diophantine problems, and we lay the foundations, especially for the theory of integral points. We review briefly the analytic theory of the Weierstrass function, and then deal with the arithmetic aspects of the addition formula, over complete fields and over number fields, giving rise to the theory of the height and its quadraticity. We apply this to integral points, covering the inequalities of diophantine approximation both on the multiplicative group and on the elliptic curve directly. Thus the book splits naturally in two parts. The first part deals with the ordinary arithmetic of the elliptic curve: The transcendental parametrization, the p-adic parametrization, points of finite order and the group of rational points, and the reduction of certain diophantine problems by the theory of heights to diophantine inequalities involving logarithms. The second part deals with the proofs of selected inequalities, at least strong enough to obtain the finiteness of integral points.
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› Find signed collectible books: 'Elliptic Functions'
Elliptic functions parametrize elliptic curves, and the intermingling of the analytic and algebraic-arithmetic theory has been at the center of mathematics since the early part of the nineteenth century. The book is divided into four parts. In the first, Lang presents the general analytic theory starting from scratch. Most of this can be read by a student with a basic knowledge of complex analysis. The next part treats complex multiplication, including a discussion of Deuring's theory of l-adic and p-adic representations, and elliptic curves with singular invariants. Part three covers curves with non-integral invariants, and applies the Tate parametrization to give Serre's results on division points. The last part covers theta functions and the Kronecker Limit Formula. Also included is an appendix by Tate on algebraic formulas in arbitrary charactistic.
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› Find signed collectible books: 'Explicit Formulas for Regularized Products and Series (Lecture Notes in Mathematics)'
The theory of explicit formulas for regularized products and series forms a natural continuation of the analytic theory developed in LNM 1564. These explicit formulas can be used to describe the quantitative behavior of various objects in analytic number theory and spectral theory. The present book deals with other applications arising from Gaussian test functions, leading to theta inversion formulas and corresponding new types of zeta functions which are Gaussian transforms of theta series rather than Mellin transforms, and satisfy additive functional equations. Their wide range of applications includes the spectral theory of a broad class of manifolds and also the theory of zeta functions in number theory and representation theory. Here the hyperbolic 3-manifolds are given as a significant example.
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› Find signed collectible books: 'First Course in Calculus (World Student)'
› Find signed collectible books: 'Frobenius distributions in GL-extensions: Distribution of Frobenius automorphisms in GL-extensions of the rational numbers (Lecture notes in mathematics ; 504)'
Book by Lang, Serge
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› Find signed collectible books: 'The Heat Kernel and Theta Inversion on SL2(C) (Springer Monographs in Mathematics)'
The worthy purpose of this text is to provide a complete, self-contained development of the trace formula and theta inversion formula for SL(2,Z[i])\SL(2,C). Unlike other treatments of the theory, the approach taken here is to begin with the heat kernel on SL(2,C) associated to the invariant Laplacian, which is derived using spherical inversion. The heat kernel on the quotient space SL(2,Z[i])\SL(2,C) is arrived at through periodization, and further expanded in an eigenfunction expansion. A theta inversion formula is obtained by studying the trace of the heat kernel. Following the author's previous work, the inversion formula then leads to zeta functions through the Gauss transform.
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› Find signed collectible books: 'Introduction to Algebraic and Abelian Functions'
2014 Reprint of 1958 Edition. Full facsimile of the original edition, not reproduced with Optical Recognition Software. This book, an introduction to the Weil-Zariski algebraic geometry, is an amplification of lectures for one of a series of courses, given by various people, going back to Zariski. Restricted to qualitative algebraic geometry, it is an admirable introduction to Weil's "Foundations" and, more generally, the whole of the modern literature as it existed before the advent of sheaves.
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› Find signed collectible books: 'Linear Algebra, Second Edition, 1971'
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› Find signed collectible books: 'Real Analysis'
This book is meant as a text for a first-year graduate course in analysis. In a sense, the subject matter covers the same topics as elementary calculus - linear algebra, differentiation, integration - but it is treated in a manner suitable for people who will be using it in further mathematical investigations. The book begins with point-set topology, essential for all analysis. The second part deals with the two basic spaces of analysis, Banach and Hilbert spaces. The book then turns to the subject of integration and measure. After a general introduction, it covers duality and representation theorems, some applications (such as Dirac sequences and Fourier transforms), integration and measures on locally compact spaces, the Riemann-Stjeltes integral, distributions, and integration on locally compact groups. Part 4 deals with differential calculus (with values in a Banach space). The next part deals with functional analysis. It includes several major spectral theorems of analysis, showing how one can extend to infinite dimensions certain results from finite-dimensional linear algebra; a discussion of compact and Fredholm operators; and spectral theorems for Hermitian operators. The final part, on global analysis, provides an introduction to differentiable manifolds.
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› Find signed collectible books: 'Real and Functional Analysis (Graduate Texts in Mathematics) (v. 142)'
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.
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› Find signed collectible books: 'Selecta: v. 0'
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› Find signed collectible books: 'Short Calculus: The Original Edition of "A First Course in Calculus" (Undergraduate Texts in Mathematics)'
From the reviews "This is a reprint of the original edition of Langs 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 refreshingly simply stated, without any extraneous verbiage, and at times quite challenging....There are answers to all the exercises set and some supplementary problems on each topic to tax even the most able." --Mathematical Gazette
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› Find signed collectible books: 'SL2(R)'
SL2(R) gives the student an introduction to the infinite dimensional representation theory of semisimple Lie groups by concentrating on one example - SL2(R). This field is of interest not only for its own sake, but for its connections with other areas such as number theory, as brought out, for example, in the work of Langlands. The rapid development of representation theory over the past 40 years has made it increasingly difficult for a student to enter the field. This book makes the theory accessible to a wide audience, its only prerequisites being a knowledge of real analysis, and some differential equations.
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› Find signed collectible books: 'Spherical Inversion on SLn (Springer Monographs in Mathematics)'
For the most part the authors are concerned with SLn(R) and with invariant differential operators, the invarinace being with respect to various subgroups. To a large extent, this book carries out the general results of Harish-Chandra.
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› Find signed collectible books: 'Topics in Cohomology of Groups (Lecture Notes in Mathematics (Springer-Verlag), 1625)'
The book is a mostly translated reprint of a report on cohomology of groups from the 1950s and 1960s, originally written as background for the Artin-Tate notes on class field theory, following the cohomological approach. This report was first published (in French) by Benjamin. For this new English edition, the author added Tate's local duality, written up from letters which John Tate sent to Lang in 1958 - 1959. Except for this last item, which requires more substantial background in algebraic geometry and especially abelian varieties, the rest of the book is basically elementary, depending only on standard homological algebra at the level of first year graduate students.
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› Find signed collectible books: 'Topics in Nevanlinna Theory (Lecture Notes in Mathematics)'
These are notes of lectures on Nevanlinna theory, in the classical case of meromorphic functions, and the generalization by Carlson-Griffith to equidimensional holomorphic maps using as domain space finite coverings of C resp. Cn. Conjecturally best possible error terms are obtained following a method of Ahlfors and Wong. This is especially significant when obtaining uniformity for the error term w.r.t. coverings, since the analytic yields case a strong version of Vojta's conjectures in the number-theoretic case involving the theory of heights. The counting function for the ramified locus in the analytic case is the analogue of the normalized logarithmetic discriminant in the number-theoretic case, and is seen to occur with the expected coefficient 1. The error terms are given involving an approximating function (type function) similar to the probabilistic type function of Khitchine in number theory. The leisurely exposition allows readers with no background in Nevanlinna Theory to approach some of the basic remaining problems around the error term. It may be used as a continuation of a graduate course in complex analysis, also leading into complex differential geometry.
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› Find signed collectible books: 'Undergraduate Algebra (Undergraduate Texts in Mathematics)'
The companion title, Linear Algebra, has sold over 8,000 copies
The writing style is very accessible
The material can be covered easily in a one-year or one-term course
Includes Noah Snyder's proof of the Mason-Stothers polynomial abc theorem
New material included on product structure for matrices including descriptions of the conjugation representation of the diagonal group
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› Find signed collectible books: 'Undergraduate Analysis (Undergraduate Texts in Mathematics)'
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 books pedagogical strengths that the pattern of development later recapitulates this material as it deepens and generalizes it." --AMERICAN MATHEMATICAL SOCIETY
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› Find signed collectible books: 'Algebraic Number Theory (Graduate Texts in Mathematics)'
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, such as cyclotomic fields, or modular forms.
"Lang's books are always of great value for the graduate student and the research mathematician. This updated edition of Algebraic number theory is no exception."-MATHEMATICAL REVIEWS
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› Find signed collectible books: 'Introduction to Diophantine Approximations'
The aim of this book is to illustrate by significant special examples three aspects of the theory of Diophantine approximations: the formal relationships that exist between counting processes and the functions entering the theory; the determination of these functions for numbers given as classical numbers; and certain asymptotic estimates holding almost everywhere.
Each chapter works out a special case of a much broader general theory, as yet unknown. Indications for this are given throughout the book, together with reference to current publications. The book may be used in a course in number theory, whose students will thus be put in contact with interesting but accessible problems on the ground floor of mathematics.
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› Find signed collectible books: 'Algebra. Revised Printing (Addison-Wesley series in mathematics)'
This basic text for a one-year course in algebra at the graduate level thoroughly prepares students to handle the algebra they will use in all of mathematics. The author assumes that students have a basic familiarity with the language of mathematics "i.e.: sets and mapping, integers, and rational numbers." The text was thoroughly revised and enhanced in response to reviewers' comments and suggestions. Designed to improve students' retention and comprehension, the text is divided into four parts. The first introduces the basic notions of algebra. The second covers the direction of algebraic equations, including the Galois theory, and the final two parts cover the direction of linear and multilinear algebra.
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