Sunday, September 14, 2008

mathematics





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Mathematics for the Analysis of Algorithms (Progress in Computer Science and Applied Logic (PCS))







Mathematics for the Analysis of Algorithms (Progress in Computer Science and Applied Logic (PCS))







Publisher: Birkhäuser Boston; 3rd ed. edition


Language: English

ISBN: 0817635157

Paperback: 132 pages

Data: September 1, 1990


Format: DJVU

Description: A quantitative study of the efficiency of computer methods requires an in-depth understanding of both mathematics and computer science. This monograph, derived from an advanced computer science course at Stanford University, builds on the fundamentals of combinatorial analysis and complex variable theory to present many of the major paradigms used in the precise analysis of algorithms, emphasizing the more difficult notions. The authors cover recurrence relations, operator methods, and asymptotic analysis in a format that is terse enough for easy reference yet detailed enough for those with little background. Approximately half the book is devoted to original problems and solutions from examinations given at Stanford.






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Unsolved Problems in Mathematical Systems and Control Theory







Unsolved Problems in Mathematical Systems and Control Theory





This book provides clear presentations of more than sixty important unsolved problems in mathematical systems and control theory. Each of the problems included here is proposed by a leading expert and set forth in an accessible manner. Covering a wide range of areas, the book will be an ideal reference for anyone interested in the latest developments in the field, including specialists in applied mathematics, engineering, and computer science.




This is an extremely important book that presents, in a clear way, many important and stimulating mathematical problems in systems and control. It will be an important reference for both researchers and people outside the field."--William W. Hager, University of Florida



"This book covers a wide range of systems from linear to nonlinear, deterministic to stochastic, finite dimensional to infinite dimensional, and so on. It includes at least some set of problems that will interest any researcher in the field."--Kemin Zhou, Louisiana State University









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Berkeley Problems in Mathematics






Berkeley Problems in Mathematics (Problem Books in Mathematics)






This book is a compilation of approximately nine hundred problems, which have appeared on the preliminary exams in Berkeley over the last twenty years. It is an invaluable source of problems and solutions for every mathematics student who plans to enter a Ph.D. program. Students who work through this book will develop problem solving skills in areas such as real analysis, multivariable calculus, differential equations, metric spaces, complex analysis, algebra, and linear algebra. The problems are organized by subject and ordered in an increasing level of difficulty. This new edition contains approximately 120 new problems and 200 new solutions. It is an ideal means for students to strengthen their foundation in basic mathematics and to prepare for graduate studies.





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Engineering Mathematics Fifth Edition






Engineering Mathematics Fifth Edition



Publisher: Newnes


Language: English

ISBN: 0750685557

Paperback: 584 pages

Data: Oct 2007

Format: PDF

Description: John Bird’s approach to mathematics, based on numerous worked examples supported by problems, is ideal for students of a wide range of abilities. Theory is kept to a minimum, with the emphasis firmly placed on problem-solving skills, making this a thoroughly practical introduction to the mathematics engineering students need to master.


The book presents a logical topic progression, rather than following the structure of a particular syllabus and is suitable for all Level 3 vocational students and first year undergraduates in Engineering. However, coverage has been carefully matched to the mathematics units within the 2007 BTEC National specifications.





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Recent Advances in Algorithms and Combinatorics






Recent Advances in Algorithms and Combinatorics






Recent Advances in Algorithms and Combinatorics by Bruce A. Reed & Claudia L. Sales

Springer | ISBN: 0387954341 | 2002 | 365 p | RARed | PDF | 1.81MB

"Combinatorics is one of the fastest growing fields of mathematics. … From the table of contents one can see the wide range of topics covered. The authors are acknowledged researchers of the presented fields and guarantee the high quality of the volume. If you want to be up-to-date in combinatorics you should have this volume close to your hands." (Péter Hajnal, Acta Scientarium Mathematicarum, Vol. 69, 2003)




"This edited volume contains nine carefully written chapters in the area of combinatorics. … The book is very well written and can be read individually by research students. The volume is of definite interest for researchers in combinatorics, graph theory and theoretical computer science. This book is certainly value for money and I would highly recommend it as an essential purchase for a university library." (G. Gutin, Journal of the Operational Research Society, Vol. 55 (5), 2004)

Combinatorics is one of the fastest growing fields of mathematics. One reason for this is because many practical problems can be modeled and then efficiently solved using combinator combinatorial theory. This real world motivation for studying algorithmic combinatorics has led not only to the development of many software packages but also to some beautiful mathematics which has no direct application to applied problems. This book highlights a few of the exciting recent developments in algorithmic combinatorics, including the search for patterns in DNA and protein sequences, the theory of semi-definite programming and its role in combinatorial optimization, and the algorithmic aspects of tree decompositions and it's applications to the theory of databases, code optimization, and bioinformatics. Claudia Linhares-Sales is Assistant Professor of Computer Science at the Federal University of Cearß, Brazil. Bruce Reed is Canada Research Chair in Graph Theory at the School of of Computer Science of McGill University.



Highlights a few of the exciting recent developments in algorithmic combinatorics, including the search for patterns in DNA and protein sequences, code optimization, theory of databases, and bioinformatics.






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Introductory Analysis: A Deeper View of Calculus






Introductory Analysis: A Deeper View of Calculus






Book Description:



Introductory Analysis addresses the needs of students taking a course in analysis after completing a semester or two of calculus, and offers an alternative to texts that assume that math majors are their only audience. By using a conversational style that does not compromise mathematical precision, the author explains the material in terms that help the reader gain a firmer grasp of calculus concepts.



Reviews:




"The author is an extremely good writer. His high level of enthusiasm for the subject matter and intimate knowledge of the subject is echoed throughout...." --Professor Charles Waters, Mankato State University

"This book is an elegant unified presentation of the basic concepts of calculus. The conversational style makes the book very readable, not only for mature students, but also for students who have only taken a basic calculus sequence....Students learn not only how to prove a theorem, they also gain an insight in the nature of a proof." --Professor Jung H. Tsai, SUNY College at Geneseo .








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Mathematics of Contemporary Physics






Mathematics of Contemporary Physics







R. F. Streater, "Mathematics of Contemporary Physics"





Academic Press Inc.,U.S. (1972-12 ) | ISBN: 0126731500 | 274 pages | Djvu | 1,4 Mb








London Mathematical Society Monographs







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Dictionary of Algebra, Arithmetic, and Trigonometry




Dictionary of Algebra, Arithmetic, and Trigonometry



More than three years in development, top academics and professionals from prestigious institutions around the world now present more than 2,800 detailed definitions, written in a clear, readable style, complete with alternative meanings, and related references. From Abelian cohomology to zero ring and from the very basic to the highly advanced, this unique lexicon includes terms associated with arithmetic, algebra, and trigonometry, with natural overlap into geometry, topology, and other related areas. Accessible yet rigorous, concise but comprehensive, the Dictionary of Algebra, Arithmetic, and Trigonometry is the key to accuracy in writing or understanding scientific, engineering, and mathematical literature






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The History of Mathematics,Sixth Edition












































The History of Mathematics: An Introduction






Book Description:



The History of Mathematics:An Introduction, Sixth Edition, is written for the one- or two-semestermath history course taken by juniors or seniors, and covers the historybehind the topics typically covered in an undergraduate math curriculumor in elementary schools or high schools. Elegantly written in DavidBurton’s imitable prose, this classic text provides rich historicalcontext to the mathematicsthat undergrad math and math education majors encounter every day.Burton illuminates the people, stories, and social context behind mathematics’greatest historical advances while maintaining appropriate focus on themathematical concepts themselves. Its wealth of information,mathematical and historical accuracy, and renowned presentation makeThe History of Mathematics: An Introduction, Sixth Edition a valuable resource that teachers and students will want as part of a permanent library.






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Oxford Users' Guide to Mathematics





















Oxford Users' Guide to Mathematics by Eberhard Zeidler (Editor)



Presents a comprehensive modern picture of Oxford Users' Guide to Mathematics is one of the leading handbooks on mathematicsmathematics and emphasises the relations between the different branches of mathematics, and the applications of mathematics in engineering and the natural sciences The Oxford User's Guide covers a broad spectrum of mathematicsstarting with the basic material and progressing on to more advancedtopics that have come to the fore in the last few decades. The book isorganised into mathematical sub-disciplines including analysis,algebra, geometry, foundations of mathematics, calculus of variations and optimisation, theory of probability and mathematical statistics, numerical mathematics and scientific computing, and history of mathematics.The book is supplemented by numerous tables on infinite series, specialfunctions, integrals, integral transformations, mathematicalstatistics, and fundamental constants in physics. It also includes acomprehensive bibliography of key contemporary literature as well as anextensive glossary and index. The wealth of material, reaching acrossall levels and numerous sub-disciplines, makes The Oxford User's Guideto Mathematics an invaluable reference source for students of engineering, mathematics, computer science, and the natural sciences, as well as teachers, practitioners, and researchers in industry and academia.






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The Trachtenberg Speed System of Basic Mathematics




































The Trachtenberg Speed System of Basic Mathematics



The Trachtenberg System is a system of rapid mental calculation, somewhat similar to Vedic mathematics.It was developed by the Ukrainian engineer Jakow Trachtenberg in orderto keep his mind occupied while being held in a Nazi concentrationcamp. The system consists of a number of readily memorized patterns that allow one to perform arithmetic computations very quickly. Simple patterns easily remembered. Teach yourself then teach your children, and any "friends andrelations" who want to give themselves or their family increasedconfidence (in math.) Power Math Free Trachtenberg Mathematics Training Software Does your child "hate" math? I sure did! Then, one day, in a private school I attended as achild, some bright, happy people visited and asked, "Who would like tolearn a super-fast way of doing mathematics?"I don't know why, but I raised my hand immediately. These visitingteachers took some of us to another classroom and taught us theTrachtenberg method. What about your children? There's not much chance of the same intervention happening for them. "Thanks for providing such a great program! Last night I sat downwith my 10 year-old old daughter who is convinced that she can't domath, and watched in amazement as she learned to multiply by 11, 12 and5. She was so excited that when she went to bed last night she wantedto take a copy of the book I have to bed with her so she could readahead. My 7 year old son witnessed what was going on and demanded thatI teach him as well, so he is beginning to learn the "new" systemtoo."--D.J. (6/16/2004) Are the 60-year-old, brain-numbing methods used by schools to teachaddition, multiplication and division making it hard for them to learn mathematics? After I composed the training software offered here for free, the greatgreat grandson of Jakow Trachtenberg downloaded it, tried it, and thencontacted me and thanked me for helping keep his ancestor's methodsalive.--Sherman Keene Download the file powmath.zip (208,344 Bytes) and getTachetenberg's genius methods for doing the same old math in a brandnew way. After practice anyone can perform amazing mathematical feats.This program uses a bullet-proof method that includes full answerchecking. Learn the Trachtenberg "way" and then teach it to your child(or children). "Math is the great equalizer." Why not give your offspring a significant edge-- the power to be "great" at math! PowerMath runs on PC in a DOS window. It provides all theinstructions you need to learn the method, and then self-checkingexercises to perform.






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A History of Mathematics: From Mesopotamia to Modernity










































A History of Mathematics: From Mesopotamia to Modernity




Oxford University Press, USA |

ISBN 0198529376 |

PDF | 2 Mb | 294 pages



Luke Hodgkin




Book Description:



A History of Mathematics: From Mesopotamia to Modernity/i covers the evolution of mathematics through time and across the major Eastern and Western civilizations. It begins in Babylon, then describes the trials and tribulations of the Greek mathematicians. The important, and often neglected, influence of both Chinese and Islamic mathematics is covered in detail, placing the description of early Western mathematics in a global context. The book concludes with modern mathematics, covering recent developments such as the advent of the computer, chaos theory, topology, mathematical physics, and the solution of Fermat's Last Theorem. Containing more than 100 illustrations and figures, this text, aimed at advanced undergraduates and postgraduates, addresses the methods and challenges associated with studying the history of mathematics. The reader is introduced to the leading figures in the history of mathematics (including Archimedes, Ptolemy, Qin Jiushao, al-Kashi, al-Khwarizmi, Galileo, Newton, Leibniz, Helmholtz, Hilbert, Alan Turing, and Andrew Wiles) and their fields. An extensive bibliography with cross-references to key texts will provide invaluable resource to students and exercises (with solutions) will stretch the more advanced reader.





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