Undergraduate Algebra (Undergraduate Texts in Mathematics)
Undergraduate Algebra (Undergraduate Texts in Mathematics)
By Serge Lang
* Publisher: Springer
* Number Of Pages: 385
* Publication Date: 2005-03-21
* Sales Rank: 189202
* ISBN / ASIN: 0387220259
* EAN: 9780387220253
* Binding: Hardcover
* Manufacturer: Springer
* Studio: Springer
Book Description:
Undergraduate Algebra is a text for the standard undergraduate algebra course. It concentrates on the basic structures and results of algebra, discussing groups, rings, modules, fields, polynomials, finite fields, Galois Theory, and other topics. The author has also included a chapter on groups of matrices which is unique in a book at this level. Throughout the book, the author strikes a balance between abstraction and concrete results, which enhance each other. Illustrative examples accompany the general theory. Numerous exercises range from the computational to the theoretical, complementing results from the main text.
For the third edition, the author has included new material on product structure for matrices (e.g. the Iwasawa and polar decompositions), as well as a description of the conjugation representation of the diagonal group. He has also added material on polynomials, culminating in Noah Snyder’s proof of the Mason-Stothers polynomial abc theorem.
About the First Edition:
The exposition is down-to-earth and at the same time very smooth. The book can be covered easily in a one-year course and can be also used in a one-term course...the flavor of modern mathematics is sprinkled here and there.
- Hideyuki Matsumura, Zentralblatt
Mathmetics books collection
Right click to save in PC , Left click to read online . books are in PDF format
A Really Friendly Guide to Wavelets [pdf]
The Wavelet Tutorial [pdf]
Mathematical Background: Foundations of Infinitesimal Calculus [pdf]
Introduction to Probability [pdf]
The Calculus Bible [pdf]Basic Concepts of Mathematics [pdf]An Introduction to the Theory of Numbers [pdf]Introduction to Tensor Calculus and Continuum Mechanics [pdf]Mathematical Analysis I [pdf]Elementary Calculus: An Approach Using Infinitesimals [pdf] Multivariable Calculus [pdf]Chaos and Random Number Generation [pdf]Introduction to Probability Theory [pdf]Calculus - One-Variable Calculus, with an Introduction to Linear Algebra [pdf]Introduction to Methods of Applied Mathematics or Advances Mathematical Methods for Scientists and Engineers [pdf]Tables of Integrals and other Mathematical data [pdf]Random Generators and Normal Numbers [pdf]Prime Percolation [pdf]Prime Numbers with a Fixed Number of One Bits or Zero Bits in Their Binary Representation [pdf]Perturbation Theory of Dynamical Systems [pdf]On Fourier and Zeta(s) [pdf]Newton’s Formula and the Continued Fraction Expansion of sqrt(d) [pdf]Linear Algebra [pdf]Linear Algebra - Answers [pdf]Sums of Squares, Cubes, and Higher Powers [pdf]Computing A Glimpse of Randomness [pdf]Computing the Generating Function of a Series Given its First Few Terms [pdf]Asymptotic Behavior of Excitable Cellular Automata [pdf]An Efficient Algorithm for Computing the Ith Letter of phi^n(a) [pdf]Algebraic Topology [pdf]A Practical Version of the Generalized Lagrange Algorithm [pdf]Math Book in progress [pdf]
Saturday, May 26, 2007
The Search for Mathematical Roots, 1870-1940
The Search for Mathematical Roots, 1870-1940
By I. Grattan-Guinness
* Publisher: Princeton University Press
* Number Of Pages: 624
* Publication Date: 2000-12-15
* Sales Rank: 2780069
* ISBN / ASIN: 0691058571
* EAN: 9780691058573
* Binding: Hardcover
* Manufacturer: Princeton University Press
* Studio: Princeton University Press 
Book Description:
While many books have been written about Bertrand Russell's philosophy and some on his logic, I. Grattan-Guinness has written the first comprehensive history of the mathematical background, content, and impact of the mathematical logic and philosophy of mathematics that Russell developed with A. N. Whitehead in their Principia mathematica (1910-1913).
This definitive history of a critical period in mathematics includes detailed accounts of the two principal influences upon Russell around 1900: the set theory of Cantor and the mathematical logic of Peano and his followers. Substantial surveys are provided of many related topics and figures of the late nineteenth century: the foundations of mathematical analysis under Weierstrass; the creation of algebraic logic by De Morgan, Boole, Peirce, Schröder, and Jevons; the contributions of Dedekind and Frege; the phenomenology of Husserl; and the proof theory of Hilbert. The many-sided story of the reception is recorded up to 1940, including the rise of logic in Poland and the impact on Vienna Circle philosophers Carnap and Gödel. A strong American theme runs though the story, beginning with the mathematician E. H. Moore and the philosopher Josiah Royce, and stretching through the emergence of Church and Quine, and the 1930s immigration of Carnap and GödeI.
Grattan-Guinness draws on around fifty manuscript collections, including the Russell Archives, as well as many original reviews. The bibliography comprises around 1,900 items, bringing to light a wealth of primary materials.
Written for mathematicians, logicians, historians, and philosophers--especially those interested in the historical interaction between these disciplines--this authoritative account tells an important story from its most neglected point of view. Whitehead and Russell hoped to show that (much of) mathematics was expressible within their logic; they failed in various ways, but no definitive alternative position emerged then or since.
FileType: ZIP
Book type: PDF
Size: 3.0MB
Ordinary Differential Equations
Ordinary Differential Equations
By V. I. Arnold
* Publisher: The MIT Press
* Number Of Pages: 270
* Publication Date: 1978-07-15
* Sales Rank: 27233
* ISBN / ASIN: 0262510189
* EAN: 9780262510189
* Binding: Paperback
* Manufacturer: The MIT Press
* Studio: The MIT Press Book Description:
There are dozens of books on ODEs, but none with the elegant geometric insight of Arnol'd's book. Arnol'd puts a clear emphasis on the qualitative and geometric properties of ODEs and their solutions, rather than on the routine presentation of algorithms for solving special classes of equations. Of course, the reader learns how to solve equations, but with much more understanding of the systems, the solutions and the techniques. Vector fields and one-parameter groups of transformations come right from the start and Arnol'd uses this "language" throughout the book. This fundamental difference from the standard presentation allows him to explain some of the real mathematics of ODEs in a very understandable way and without hiding the substance. The text is also rich with examples and connections with mechanics. Where possible, Arnol'd proceeds by physical reasoning, using it as a convenient shorthand for much longer formal mathematical reasoning. This technique helps the student get a feel for the subject. Following Arnol'd's guiding geometric and qualitative principles, there are 272 figures in the book, but not a single complicated formula. Also, the text is peppered with historical remarks, which put the material in context, showing how the ideas have developed since Newton and Leibniz. This book is an excellent text for a course whose goal is a mathematical treatment of differential equations and the related physical systems.
6.3 MB
You Failed Your Math Test, Comrade Einstein: Adventures and Misadventures of Young Mathematicians, Or Test Your Skills in Almost Recreational Mathemat
You Failed Your Math Test, Comrade Einstein: Adventures and Misadventures of Young Mathematicians, Or Test Your Skills in Almost Recreational Mathematics
By
* Publisher: World Scientific Publishing Company
* Number Of Pages: 232
* Publication Date: 2005-06
* Sales Rank: 1134394
* ISBN / ASIN: 9812562796
* EAN: 9789812562791
* Binding: Paperback
* Manufacturer: World Scientific Publishing Company
* Studio: World Scientific Publishing Company
* Average Rating: 5
* Total Reviews: 1
Great Russian math entrance exam questions
Interesting and tough questions from Moscow State University, Moscow Institute for Physics and Technology, and Moscow Institute for Engineering and Physics.
Includes articles on the history of using tougher questions to refuse admissions of Jewish students - a form of state-sanctioned discrimination, before the era of perestroika. There is also material covering the alleged KGB assassination of Bella Abramovna - a dedicated math teacher who organized an informal underground university for educating Jewish math students in the Soviet Union. A fascinating read.
Format: PDF
PDF size: 12.4 MB
Wednesday, May 23, 2007
A First Course in Logic: An Introduction to Model Theory, Proof Theory, Computability, and Complexity (Oxford Texts in Logic)
A First Course in Logic: An Introduction to Model Theory, Proof Theory, Computability, and Complexity (Oxford Texts in Logic)
By Shawn Hedman
* Publisher: Oxford University Press, USA
* Number Of Pages: 452
* Publication Date: 2004-08-20
* Sales Rank: 1502169
* ISBN / ASIN: 0198529813
* EAN: 9780198529811
* Binding: Paperback
* Manufacturer: Oxford University Press, USA
* Studio: Oxford University Press, USA Book Description:
The ability to reason and think in a logical manner forms the basis of learning for most mathematics, computer science, philosophy and logic students. Based on the author's teaching notes at the University of Maryland and aimed at a broad audience, this text covers the fundamental topics in classical logic in an extremely clear, thorough and accurate style that is accessible to all the above. Covering propositional logic, first-order logic, and second-order logic, as well as proof theory, computability theory, and model theory, the text also contains numerous carefully graded exercises and is ideal for a first or refresher course.
SPSS for Intermediate Statistics: Use and Interpretation
SPSS for Intermediate Statistics: Use and Interpretation
By Nancy L. Leech, Karen C. Barrett, George A. Morgan,
* Publisher: Lawrence Erlbaum Associates
* Number Of Pages: 256
* Publication Date: 2004-08
* Sales Rank: 439369
* ISBN / ASIN: 0805847901
* EAN: 9780805847901
* Binding: Paperback
* Manufacturer: Lawrence Erlbaum Associates
* Studio: Lawrence Erlbaum Associates Book Description:
Hilbert's 10th Problem (Foundations of Computing)
Hilbert's 10th Problem (Foundations of Computing)
By Yuri Matiyasevich
* Publisher: The MIT Press
* Number Of Pages: 288
* Publication Date: 1993-10-13
* Sales Rank: 855824
* ISBN / ASIN: 0262132958
* EAN: 9780262132954
* Binding: Hardcover
* Manufacturer: The MIT Press
* Studio: The MIT Press Book Description:
At the 1900 International Congress of Mathematicians, held that year in Paris, the German mathematician David Hilbert put forth a list of 23 unsolved problems that he saw as being the greatest challenges for twentieth-century mathematics. Hilbert's 10th problem, to find a method (what we now call an algorithm) for deciding whether a Diophantine equation has an integral solution, was solved by Yuri Matiyasevich in 1970. Proving the undecidability of Hilbert's 10th problem is clearly one of the great mathematical results of the century.
This book presents the full, self-contained negative solution of Hilbert's 10th problem. In addition it contains a number of diverse, often striking applications of the technique developed for that solution (scattered previously in journals), describes the many improvements and modifications of the original proof - since the problem was "unsolved" 20 years ago, and adds several new, previously unpublished proofs.
Included are numerous exercises that range in difficulty from the elementary to small research problems, open questions,and unsolved problems. Each chapter concludes with a commentary providing a historical view of its contents. And an extensive bibliography contains references to all of the main publications directed to the negative solution of Hilbert's 10th problem as well as the majority of the publications dealing with applications of the solution.
Intended for young mathematicians, Hilbert's 10th Problem requires only a modest mathematical background. A few less well known number-theoretical results are presented in the appendixes. No knowledge of recursion theory is presupposed. All necessary notions are introduced and defined in the book, making it suitable for the first acquaintance with this fascinating subject.
Yuri Matiyasevich is Head of the Laboratory of Mathematical Logic, Steklov Institute of Mathematics, Russian Academy of Sciences, Saint Petersburg.
Saturday, May 12, 2007
Convex Analysis (Princeton Mathematical Series)
Available for the first time in paperback, R. Tyrrell Rockafellar's classic study presents readers with a coherent branch of nonlinear mathematical analysis that is especially suited to the study of optimization problems. Rockafellar's theory differs from classical analysis in that differentiability assumptions are replaced by convexity assumptions. The topics treated in this volume include: systems of inequalities, the minimum or maximum of a convex function over a convex set, Lagrange multipliers, minimax theorems and duality, as well as basic results about the structure of convex sets and the continuity and differentiability of convex functions and saddle- functions. This book has firmly established a new and vital area not only for pure mathematics but also for applications to economics and engineering. A sound knowledge of linear algebra and introductory real analysis should provide readers with sufficient background for this book. There is also a guide for the reader who may be using the book as an introduction, indicating which parts are essential and which may be skipped on a first reading. "This book should remain for some years as the standard reference for anyone interested in convex analysis." J. D. Pryce, Edinburgh Mathematical Society
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Convex Functional Analysis (Systems & Control: Foundations & Applications)
This volume is dedicated to the fundamentals of convex functional analysis. It presents those aspects of functional analysis that are extensively used in various applications to mechanics and control theory. The purpose of the text is essentially two-fold. On the one hand, a bare minimum of the theory required to understand the principles of functional, convex and set-valued analysis is presented. Numerous examples and diagrams provide as intuitive an explanation of the principles as possible. On the other hand, the volume is largely self-contained. Those with a background in graduate mathematics will find a concise summary of all main definitions and theorems.
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Indefinite Linear Algebra and Applications
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Thursday, May 10, 2007
Parallel and Distributed Computation: Numerical Methods
This highly acclaimed work, first published by Prentice Hall in 1989, is a comprehensive and theoretically sound treatment of parallel and distributed numerical methods. It focuses on algorithms that are naturally suited for massive parallelization, and it explores the fundamental convergence, rate of convergence, communication, and synchronization issues associated with such algorithms. This is an extensive book, which aside from its focus on parallel and distributed algorithms, contains a wealth of material on a broad variety of computation and optimization topics. Among its special features, the book: 1) Quantifies the performance of parallel algorithms, including the limitations imposed by the communication and synchronization penalties. 2) Describes communication algorithms for a variety of system architectures including tree, mesh, and hypercube. 3) Provides a comprehensive convergence analysis of asynchronous methods and a comparison with their asynchronous counterparts. 4) Covers direct and iterative algorithms for linear and nonlinear systems of equations and variational inequalities. 5) Describes optimization methods for nonlinear programming, shortest paths, dynamic programming, network flows, and large-scale decomposition. 6) Includes extensive research material on optimization methods, asynchronous algorithm convergence, rollback synchronization, asynchronous communication network protocols, and others. 7) Supplements the text material with many exercises, whose complete solutions are posted on the internet. 8) Contains a lot of material not found in any other book.
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Regression Methods in Biostatistics
This new book provides a unified, in-depth, readable introduction to the multipredictor regression methods most widely used in biostatistics: linear models for continuous outcomes, logistic models for binary outcomes, the Cox model for right-censored survival times, repeated-measures models for longitudinal and hierarchical outcomes, and generalized linear models for counts and other outcomes.Treating these topics together takes advantage of all they have in common. The authors point out the many-shared elements in the methods they present for selecting, estimating, checking, and interpreting each of these models. They also show that these regression methods deal with confounding, mediation, and interaction of causal effects in essentially the same way.The examples, analyzed using Stata, are drawn from the biomedical context but generalize to other areas of application. While a first course in statistics is assumed, a chapter reviewing basic statistical methods is included. Some advanced topics are covered but the presentation remains intuitive. A brief introduction to regression analysis of complex surveys and notes for further reading are provided. For many students and researchers learning to use these methods, this one book may be all they need to conduct and interpret multipredictor regression analyses.The authors are on the faculty in the Division of Biostatistics, Department of Epidemiology and Biostatistics, University of California, San Francisco, and are authors or co-authors of more than 200 methodological as well as applied papers in the biological and biomedical sciences. The senior author, Charles E. McCulloch, is head of the Division and author of Generalized Linear Mixed Models (2003), Generalized, Linear, and Mixed Models (2000), and Variance Components (1992).
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