Studies In Pure Mathematics

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Studies in Pure Mathematics

Author : ERDÖS
Publisher : Birkhäuser
ISBN 13 : 3034854382
Total Pages : 741 pages
Book Rating : 4.0/5 (348 download)

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Book Synopsis Studies in Pure Mathematics by : ERDÖS

Download or read book Studies in Pure Mathematics written by ERDÖS and published by Birkhäuser. This book was released on 2013-12-01 with total page 741 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume, written by his friends, collaborators and students, is offered to the memory of Paul Tunin. Most of the papers they contributed discuss subjects related to his own fields of research. The wide range of topics reflects the versatility of his mathematical activity. His work has inspired many mathematicians in analytic number theory, theory of functions of a complex variable, interpolation and approximation theory, numerical algebra, differential equations, statistical group theory and theory of graphs. Beyond the influence of his deep and important results he had the exceptional ability to communicate to others his enthusiasm for mathematics. One of the strengths of Turan was to ask unusual questions that became starting points of many further results, sometimes opening up new fields of research. We hope that this volume will illustrate this aspect of his work adequately. Born in Budapest, on August 28, 1910, Paul Turan obtained his Ph. D. under L. Fejer in 1935. His love for mathematies enabled him to work even under inhuman circumstances during the darkest years of the Second World War. One of his major achievements, his power sum method originated in this period. After the war he was visiting professor in Denmark and in Princeton. In 1949 he became professor at the Eotvos Lorand University of Budapest, a member of the Hungarian Academy of Sciences and a leading figure of the Hungarian mathematical community.

Equations from God

Author : Daniel J. Cohen
Publisher : JHU Press
ISBN 13 : 0801891868
Total Pages : 374 pages
Book Rating : 4.8/5 (18 download)

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Book Synopsis Equations from God by : Daniel J. Cohen

Download or read book Equations from God written by Daniel J. Cohen and published by JHU Press. This book was released on 2007-04-08 with total page 374 pages. Available in PDF, EPUB and Kindle. Book excerpt: This illuminating history explores the complex relationship between mathematics, religious belief, and Victorian culture. Throughout history, application rather than abstraction has been the prominent driving force in mathematics. From the compass and sextant to partial differential equations, mathematical advances were spurred by the desire for better navigation tools, weaponry, and construction methods. But the religious upheaval in Victorian England and the fledgling United States opened the way for the rediscovery of pure mathematics, a tradition rooted in Ancient Greece. In Equations from God, Daniel J. Cohen captures the origins of the rebirth of abstract mathematics in the intellectual quest to rise above common existence and touch the mind of the deity. Using an array of published and private sources, Cohen shows how philosophers and mathematicians seized upon the beautiful simplicity inherent in mathematical laws to reconnect with the divine and traces the route by which the divinely inspired mathematics of the Victorian era begot later secular philosophies.

Studies in Pure Mathematics

Author : P. Erd S
Publisher :
ISBN 13 : 9783034854399
Total Pages : 776 pages
Book Rating : 4.8/5 (543 download)

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Book Synopsis Studies in Pure Mathematics by : P. Erd S

Download or read book Studies in Pure Mathematics written by P. Erd S and published by . This book was released on 2014-09-01 with total page 776 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Representation Theory of Algebraic Groups and Quantum Groups

Author : Toshiaki Shoji
Publisher : American Mathematical Society(RI)
ISBN 13 :
Total Pages : 514 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Representation Theory of Algebraic Groups and Quantum Groups by : Toshiaki Shoji

Download or read book Representation Theory of Algebraic Groups and Quantum Groups written by Toshiaki Shoji and published by American Mathematical Society(RI). This book was released on 2004 with total page 514 pages. Available in PDF, EPUB and Kindle. Book excerpt: A collection of research and survey papers written by speakers at the Mathematical Society of Japan's 10th International Conference. This title presents an overview of developments in representation theory of algebraic groups and quantum groups. It includes papers containing results concerning Lusztig's conjecture on cells in affine Weyl groups.

Studies in Pure Mathematics

Author :
Publisher :
ISBN 13 : 9780335140190
Total Pages : 68 pages
Book Rating : 4.1/5 (41 download)

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Book Synopsis Studies in Pure Mathematics by :

Download or read book Studies in Pure Mathematics written by and published by . This book was released on 1983 with total page 68 pages. Available in PDF, EPUB and Kindle. Book excerpt:

How to Think Like a Mathematician

Author : Kevin Houston
Publisher : Cambridge University Press
ISBN 13 : 1139477056
Total Pages : 341 pages
Book Rating : 4.1/5 (394 download)

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Book Synopsis How to Think Like a Mathematician by : Kevin Houston

Download or read book How to Think Like a Mathematician written by Kevin Houston and published by Cambridge University Press. This book was released on 2009-02-12 with total page 341 pages. Available in PDF, EPUB and Kindle. Book excerpt: Looking for a head start in your undergraduate degree in mathematics? Maybe you've already started your degree and feel bewildered by the subject you previously loved? Don't panic! This friendly companion will ease your transition to real mathematical thinking. Working through the book you will develop an arsenal of techniques to help you unlock the meaning of definitions, theorems and proofs, solve problems, and write mathematics effectively. All the major methods of proof - direct method, cases, induction, contradiction and contrapositive - are featured. Concrete examples are used throughout, and you'll get plenty of practice on topics common to many courses such as divisors, Euclidean algorithms, modular arithmetic, equivalence relations, and injectivity and surjectivity of functions. The material has been tested by real students over many years so all the essentials are covered. With over 300 exercises to help you test your progress, you'll soon learn how to think like a mathematician.

Pure Mathematics 1 (International)

Author : Hugh Neill
Publisher : Cambridge University Press
ISBN 13 : 9780521530118
Total Pages : 319 pages
Book Rating : 4.5/5 (31 download)

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Book Synopsis Pure Mathematics 1 (International) by : Hugh Neill

Download or read book Pure Mathematics 1 (International) written by Hugh Neill and published by Cambridge University Press. This book was released on 2002-09-19 with total page 319 pages. Available in PDF, EPUB and Kindle. Book excerpt: Written to match the contents of the Cambridge syllabus. Pure Mathematics 1 corresponds to unit P1. It covers quadratics, functions, coordinate geometry, circular measure, trigonometry, vectors, series, differentiation and integration.

Pure Mathematics

Author : John Kenneth Backhouse
Publisher :
ISBN 13 : 9781408227725
Total Pages : 464 pages
Book Rating : 4.2/5 (277 download)

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Book Synopsis Pure Mathematics by : John Kenneth Backhouse

Download or read book Pure Mathematics written by John Kenneth Backhouse and published by . This book was released on 2011-01-11 with total page 464 pages. Available in PDF, EPUB and Kindle. Book excerpt: Pure Mathematics is a new Students' Book and accompanying Teacher's Guide that offers full coverage of the East African A Level curriculum.

Studies in Pure Mathematics

Author : Richard Rado
Publisher :
ISBN 13 :
Total Pages : 294 pages
Book Rating : 4.:/5 (44 download)

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Book Synopsis Studies in Pure Mathematics by : Richard Rado

Download or read book Studies in Pure Mathematics written by Richard Rado and published by . This book was released on 1971 with total page 294 pages. Available in PDF, EPUB and Kindle. Book excerpt: The papers offered here are intended to reflect both aspects of Rado's work: its broad range as well as the dominance of combinatorial questions.

Investigations in Number Theory

Author : Tomio Kubota
Publisher :
ISBN 13 :
Total Pages : 642 pages
Book Rating : 4.:/5 (5 download)

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Book Synopsis Investigations in Number Theory by : Tomio Kubota

Download or read book Investigations in Number Theory written by Tomio Kubota and published by . This book was released on 1988 with total page 642 pages. Available in PDF, EPUB and Kindle. Book excerpt:

A Concise Introduction to Pure Mathematics

Author : Martin Liebeck
Publisher : CRC Press
ISBN 13 : 1315360713
Total Pages : 210 pages
Book Rating : 4.3/5 (153 download)

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Book Synopsis A Concise Introduction to Pure Mathematics by : Martin Liebeck

Download or read book A Concise Introduction to Pure Mathematics written by Martin Liebeck and published by CRC Press. This book was released on 2018-09-03 with total page 210 pages. Available in PDF, EPUB and Kindle. Book excerpt: Accessible to all students with a sound background in high school mathematics, A Concise Introduction to Pure Mathematics, Fourth Edition presents some of the most fundamental and beautiful ideas in pure mathematics. It covers not only standard material but also many interesting topics not usually encountered at this level, such as the theory of solving cubic equations; Euler’s formula for the numbers of corners, edges, and faces of a solid object and the five Platonic solids; the use of prime numbers to encode and decode secret information; the theory of how to compare the sizes of two infinite sets; and the rigorous theory of limits and continuous functions. New to the Fourth Edition Two new chapters that serve as an introduction to abstract algebra via the theory of groups, covering abstract reasoning as well as many examples and applications New material on inequalities, counting methods, the inclusion-exclusion principle, and Euler’s phi function Numerous new exercises, with solutions to the odd-numbered ones Through careful explanations and examples, this popular textbook illustrates the power and beauty of basic mathematical concepts in number theory, discrete mathematics, analysis, and abstract algebra. Written in a rigorous yet accessible style, it continues to provide a robust bridge between high school and higher-level mathematics, enabling students to study more advanced courses in abstract algebra and analysis.

A Course of Pure Mathematics

Author : G. H. Hardy
Publisher : Createspace Independent Publishing Platform
ISBN 13 : 9781974579075
Total Pages : 574 pages
Book Rating : 4.5/5 (79 download)

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Book Synopsis A Course of Pure Mathematics by : G. H. Hardy

Download or read book A Course of Pure Mathematics written by G. H. Hardy and published by Createspace Independent Publishing Platform. This book was released on 2017-08-15 with total page 574 pages. Available in PDF, EPUB and Kindle. Book excerpt: A Course of Pure Mathematics is a classic textbook in introductory mathematical analysis, written by G. H. Hardy. It is recommended for people studying calculus. For years, it remains one of the most popular books on pure mathematics. The book contains a large number of descriptive and study materials together with a number of difficult problems with regards to number theory analysis. The book is organized into the following chapters, with each chapter further divided. Real Variables Functions Of Real Variables Complex Numbers Limits Of Functions Of A Positive Integral Variable Limits Of Functions Of A Continuous Variable. Continuous And Discontinuous Functions Derivatives And Integrals Additional Theorems In The Differential And Integral Calculus The Convergence Of Infinite Series And Infinite Integrals The Logarithmic, Exponential And Circular Functions Of A Real Variable The General Theory Of The Logarithmic, Exponential And Circular Functions The book was intended to help reform mathematics teaching in the world, from the University of Cambridge and in schools preparing to study higher mathematics. It was aimed directly at "scholarship level" students - the top 10% to 20% by ability. Hardy himself did not originally find a passion for mathematics, only seeing it as a way to beat other students, which he did decisively, and gain scholarships.[1] However, his book excels in effectively explaining analytical number theory and calculus following the rigor of mathematics. Whilst his book changed the way the subject was taught at university, the content reflects the era in which the book was written. The whole book explores number theory and the author constructs real numbers theoretically. It adequately deals with single-variable calculus, sequences, number series, properties of cos, sin, log, etc. but does not refer to mathematical groups, multi-variable functions or vector calculus. Each section includes some demanding problems. Hardy combines the enthusiasm of the missionary with the rigor of the purist in his exposition of the fundamental ideas of the differential and integral calculus, of the properties of infinite series and of other topics involving the notion of limit. Hardy's presentation of mathematical analysis is as valid today as when first written: students will find that his economical and energetic style of presentation is one that modern authors rarely come close to.[2] Despite its limitations, it is considered a classic in its field. It is probably of most use to 1st year university students of pure mathematics.

A Course of Pure Mathematics

Author : G. H. Hardy
Publisher : Cambridge University Press
ISBN 13 : 1139643517
Total Pages : 21 pages
Book Rating : 4.1/5 (396 download)

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Book Synopsis A Course of Pure Mathematics by : G. H. Hardy

Download or read book A Course of Pure Mathematics written by G. H. Hardy and published by Cambridge University Press. This book was released on 2008-03-13 with total page 21 pages. Available in PDF, EPUB and Kindle. Book excerpt: There are few textbooks of mathematics as well-known as Hardy's Pure Mathematics. Since its publication in 1908, this classic book has inspired successive generations of budding mathematicians at the beginning of their undergraduate courses. In its pages, Hardy combines the enthusiasm of the missionary with the rigour of the purist in his exposition of the fundamental ideas of the differential and integral calculus, of the properties of infinite series and of other topics involving the notion of limit. Celebrating 100 years in print with Cambridge, this edition includes a Foreword by T. W. Körner, describing the huge influence the book has had on the teaching and development of mathematics worldwide. Hardy's presentation of mathematical analysis is as valid today as when first written: students will find that his economical and energetic style of presentation is one that modern authors rarely come close to.

The Mathematics of Finance

Author : Victor Goodman
Publisher : American Mathematical Soc.
ISBN 13 : 0821847937
Total Pages : 274 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis The Mathematics of Finance by : Victor Goodman

Download or read book The Mathematics of Finance written by Victor Goodman and published by American Mathematical Soc.. This book was released on 2009 with total page 274 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book begins with binomial stock price models, moves on to multistage models, then to the Cox-Ross-Rubinstein option pricing process, and then to the Black-Scholes formula. Other topics presented include Zero Coupon Bonds, forward rates, the yield curve, and several bond price models. The book continues with foreign exchange models and the Keynes Interest Rate Parity Formula, and concludes with the study of country risk, a topic not inappropriate for the times."--pub. desc.

Introduction to the Mathematics of Operations Research with Mathematica®

Author : Kevin J. Hastings
Publisher : CRC Press
ISBN 13 : 142001739X
Total Pages : 588 pages
Book Rating : 4.4/5 (2 download)

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Book Synopsis Introduction to the Mathematics of Operations Research with Mathematica® by : Kevin J. Hastings

Download or read book Introduction to the Mathematics of Operations Research with Mathematica® written by Kevin J. Hastings and published by CRC Press. This book was released on 2018-10-24 with total page 588 pages. Available in PDF, EPUB and Kindle. Book excerpt: The breadth of information about operations research and the overwhelming size of previous sources on the subject make it a difficult topic for non-specialists to grasp. Fortunately, Introduction to the Mathematics of Operations Research with Mathematica®, Second Edition delivers a concise analysis that benefits professionals in operations research and related fields in statistics, management, applied mathematics, and finance. The second edition retains the character of the earlier version, while incorporating developments in the sphere of operations research, technology, and mathematics pedagogy. Covering the topics crucial to applied mathematics, it examines graph theory, linear programming, stochastic processes, and dynamic programming. This self-contained text includes an accompanying electronic version and a package of useful commands. The electronic version is in the form of Mathematica notebooks, enabling you to devise, edit, and execute/reexecute commands, increasing your level of comprehension and problem-solving. Mathematica sharpens the impact of this book by allowing you to conveniently carry out graph algorithms, experiment with large powers of adjacency matrices in order to check the path counting theorem and Markov chains, construct feasible regions of linear programming problems, and use the "dictionary" method to solve these problems. You can also create simulators for Markov chains, Poisson processes, and Brownian motions in Mathematica, increasing your understanding of the defining conditions of these processes. Among many other benefits, Mathematica also promotes recursive solutions for problems related to first passage times and absorption probabilities.

A Mathematician's Apology

Author : G. H. Hardy
Publisher : Cambridge University Press
ISBN 13 : 9780521427067
Total Pages : 158 pages
Book Rating : 4.4/5 (27 download)

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Book Synopsis A Mathematician's Apology by : G. H. Hardy

Download or read book A Mathematician's Apology written by G. H. Hardy and published by Cambridge University Press. This book was released on 1992-01-31 with total page 158 pages. Available in PDF, EPUB and Kindle. Book excerpt: G. H. Hardy was one of this century's finest mathematical thinkers, renowned among his contemporaries as a 'real mathematician ... the purest of the pure'. He was also, as C. P. Snow recounts in his Foreword, 'unorthodox, eccentric, radical, ready to talk about anything'. This 'apology', written in 1940 as his mathematical powers were declining, offers a brilliant and engaging account of mathematics as very much more than a science; when it was first published, Graham Greene hailed it alongside Henry James's notebooks as 'the best account of what it was like to be a creative artist'. C. P. Snow's Foreword gives sympathetic and witty insights into Hardy's life, with its rich store of anecdotes concerning his collaboration with the brilliant Indian mathematician Ramanujan, his aphorisms and idiosyncrasies, and his passion for cricket. This is a unique account of the fascination of mathematics and of one of its most compelling exponents in modern times.

Set Theory and Logic

Author : Robert R. Stoll
Publisher : Courier Corporation
ISBN 13 : 0486139646
Total Pages : 512 pages
Book Rating : 4.4/5 (861 download)

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Book Synopsis Set Theory and Logic by : Robert R. Stoll

Download or read book Set Theory and Logic written by Robert R. Stoll and published by Courier Corporation. This book was released on 2012-05-23 with total page 512 pages. Available in PDF, EPUB and Kindle. Book excerpt: Explores sets and relations, the natural number sequence and its generalization, extension of natural numbers to real numbers, logic, informal axiomatic mathematics, Boolean algebras, informal axiomatic set theory, several algebraic theories, and 1st-order theories.