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Author : Elmer Adelbert Lyman
Publisher :
ISBN 13 :
Total Pages : 270 pages
Book Rating : 4.3/5 (91 download)
Download or read book Advanced Arithmetic written by Elmer Adelbert Lyman and published by . This book was released on 1905 with total page 270 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Stephen Siklos
Publisher : Open Book Publishers
ISBN 13 : 9781783741427
Total Pages : 188 pages
Book Rating : 4.7/5 (414 download)
Download or read book Advanced Problems in Mathematics: Preparing for University written by Stephen Siklos and published by Open Book Publishers. This book was released on 2016-01-25 with total page 188 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is intended to help candidates prepare for entrance examinations in mathematics and scientific subjects, including STEP (Sixth Term Examination Paper). STEP is an examination used by Cambridge colleges as the basis for conditional offers. They are also used by Warwick University, and many other mathematics departments recommend that their applicants practice on the past papers even if they do not take the examination. Advanced Problems in Mathematics is recommended as preparation for any undergraduate mathematics course, even for students who do not plan to take the Sixth Term Examination Paper. The questions analysed in this book are all based on recent STEP questions selected to address the syllabus for Papers I and II, which is the A-level core (i.e. C1 to C4) with a few additions. Each question is followed by a comment and a full solution. The comments direct the reader's attention to key points and put the question in its true mathematical context. The solutions point students to the methodology required to address advanced mathematical problems critically and independently. This book is a must read for any student wishing to apply to scientific subjects at university level and for anybody interested in advanced mathematics.
Author : Joseph H. Silverman
Publisher : Springer Science & Business Media
ISBN 13 : 1461208513
Total Pages : 528 pages
Book Rating : 4.4/5 (612 download)
Download or read book Advanced Topics in the Arithmetic of Elliptic Curves written by Joseph H. Silverman and published by Springer Science & Business Media. This book was released on 2013-12-01 with total page 528 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the introduction to the first volume of The Arithmetic of Elliptic Curves (Springer-Verlag, 1986), I observed that "the theory of elliptic curves is rich, varied, and amazingly vast," and as a consequence, "many important topics had to be omitted." I included a brief introduction to ten additional topics as an appendix to the first volume, with the tacit understanding that eventually there might be a second volume containing the details. You are now holding that second volume. it turned out that even those ten topics would not fit Unfortunately, into a single book, so I was forced to make some choices. The following material is covered in this book: I. Elliptic and modular functions for the full modular group. II. Elliptic curves with complex multiplication. III. Elliptic surfaces and specialization theorems. IV. Neron models, Kodaira-Neron classification of special fibers, Tate's algorithm, and Ogg's conductor-discriminant formula. V. Tate's theory of q-curves over p-adic fields. VI. Neron's theory of canonical local height functions.
Author : David Eugene Smith
Publisher :
ISBN 13 :
Total Pages : 512 pages
Book Rating : 4.X/5 (1 download)
Download or read book The Problem and Practice Arithmetics ... written by David Eugene Smith and published by . This book was released on 1929 with total page 512 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Ulrich W. Kulisch
Publisher : Springer Science & Business Media
ISBN 13 : 3709105250
Total Pages : 151 pages
Book Rating : 4.7/5 (91 download)
Download or read book Advanced Arithmetic for the Digital Computer written by Ulrich W. Kulisch and published by Springer Science & Business Media. This book was released on 2012-09-07 with total page 151 pages. Available in PDF, EPUB and Kindle. Book excerpt: The number one requirement for computer arithmetic has always been speed. It is the main force that drives the technology. With increased speed larger problems can be attempted. To gain speed, advanced processors and pro gramming languages offer, for instance, compound arithmetic operations like matmul and dotproduct. But there is another side to the computational coin - the accuracy and reliability of the computed result. Progress on this side is very important, if not essential. Compound arithmetic operations, for instance, should always deliver a correct result. The user should not be obliged to perform an error analysis every time a compound arithmetic operation, implemented by the hardware manufacturer or in the programming language, is employed. This treatise deals with computer arithmetic in a more general sense than usual. Advanced computer arithmetic extends the accuracy of the elementary floating-point operations, for instance, as defined by the IEEE arithmetic standard, to all operations in the usual product spaces of computation: the complex numbers, the real and complex intervals, and the real and complex vectors and matrices and their interval counterparts. The implementation of advanced computer arithmetic by fast hardware is examined in this book. Arithmetic units for its elementary components are described. It is shown that the requirements for speed and for reliability do not conflict with each other. Advanced computer arithmetic is superior to other arithmetic with respect to accuracy, costs, and speed.
Author : William W. Speer
Publisher :
ISBN 13 :
Total Pages : 438 pages
Book Rating : 4.:/5 (3 download)
Download or read book Advanced Arithmetic written by William W. Speer and published by . This book was released on 1899 with total page 438 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : James William Nicholson
Publisher :
ISBN 13 :
Total Pages : 408 pages
Book Rating : 4.:/5 (334 download)
Download or read book An Advanced Arithmetic, Theoretical and Practical written by James William Nicholson and published by . This book was released on 1889 with total page 408 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : George Albert Wentworth
Publisher :
ISBN 13 :
Total Pages : 424 pages
Book Rating : 4.A/5 ( download)
Download or read book An Advanced Arithmetic for High Schools, Normal Schools, and Academies written by George Albert Wentworth and published by . This book was released on 1898 with total page 424 pages. Available in PDF, EPUB and Kindle. Book excerpt: Every high school, normal school, and academy should allow sufficient time for a thorough review of arithmetic. This book has been written as a text-book for that purpose. The shortest and surest road to a knowledge of arithmetic is by solving problems, and these problems are designed to convey a great deal of useful information and to furnish the very best mental training, the primary object of the study. It is not necessary for any pupil, or any class to do all the problems. Every teacher can select parts of chapters, chapters, or problems suited to the needs of the pupils.
Author : Lynn Harold Loomis
Publisher : World Scientific Publishing Company
ISBN 13 : 9814583952
Total Pages : 596 pages
Book Rating : 4.8/5 (145 download)
Download or read book Advanced Calculus written by Lynn Harold Loomis and published by World Scientific Publishing Company. This book was released on 2014-02-26 with total page 596 pages. Available in PDF, EPUB and Kindle. Book excerpt: An authorised reissue of the long out of print classic textbook, Advanced Calculus by the late Dr Lynn Loomis and Dr Shlomo Sternberg both of Harvard University has been a revered but hard to find textbook for the advanced calculus course for decades. This book is based on an honors course in advanced calculus that the authors gave in the 1960's. The foundational material, presented in the unstarred sections of Chapters 1 through 11, was normally covered, but different applications of this basic material were stressed from year to year, and the book therefore contains more material than was covered in any one year. It can accordingly be used (with omissions) as a text for a year's course in advanced calculus, or as a text for a three-semester introduction to analysis. The prerequisites are a good grounding in the calculus of one variable from a mathematically rigorous point of view, together with some acquaintance with linear algebra. The reader should be familiar with limit and continuity type arguments and have a certain amount of mathematical sophistication. As possible introductory texts, we mention Differential and Integral Calculus by R Courant, Calculus by T Apostol, Calculus by M Spivak, and Pure Mathematics by G Hardy. The reader should also have some experience with partial derivatives. In overall plan the book divides roughly into a first half which develops the calculus (principally the differential calculus) in the setting of normed vector spaces, and a second half which deals with the calculus of differentiable manifolds.
Author : Charles W. Morey
Publisher :
ISBN 13 :
Total Pages : 454 pages
Book Rating : 4.A/5 ( download)
Download or read book Advanced Arithmetic written by Charles W. Morey and published by . This book was released on 1911 with total page 454 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Zalman Usiskin
Publisher : Prentice Hall
ISBN 13 :
Total Pages : 616 pages
Book Rating : 4.X/5 (4 download)
Download or read book Mathematics for High School Teachers written by Zalman Usiskin and published by Prentice Hall. This book was released on 2003 with total page 616 pages. Available in PDF, EPUB and Kindle. Book excerpt: For algebra or geometry courses for teachers; courses in topics of mathematics; capstone courses for teachers or other students of mathematics; graduate courses for practicing teachers; or students who want a better understanding of mathematics. Filling a wide gap in the market, this text provides current and prospective high school teachers with an advanced treatment of mathematics that will help them understand the connections between the mathematics they will be teaching and the mathematics learned in college. It presents in-depth coverage of the most important concepts in high school mathematics: real numbers, functions, congruence, similarity, and more.
Author : John H. Saxon
Publisher : Saxon Advanced Math
ISBN 13 : 9781565770393
Total Pages : 0 pages
Book Rating : 4.7/5 (73 download)
Download or read book Advanced Mathematics written by John H. Saxon and published by Saxon Advanced Math. This book was released on 1996 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Topics from algebra, trigonometry, discrete mathematics, and mathematical analysis are interwoven in the 125 lessons that comprise this integrated text.
Author : Joseph H. Silverman
Publisher : Springer Science & Business Media
ISBN 13 : 1475719205
Total Pages : 414 pages
Book Rating : 4.4/5 (757 download)
Download or read book The Arithmetic of Elliptic Curves written by Joseph H. Silverman and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 414 pages. Available in PDF, EPUB and Kindle. Book excerpt: The theory of elliptic curves is distinguished by its long history and by the diversity of the methods that have been used in its study. This book treats the arithmetic approach in its modern formulation, through the use of basic algebraic number theory and algebraic geometry. Following a brief discussion of the necessary algebro-geometric results, the book proceeds with an exposition of the geometry and the formal group of elliptic curves, elliptic curves over finite fields, the complex numbers, local fields, and global fields. Final chapters deal with integral and rational points, including Siegels theorem and explicit computations for the curve Y = X + DX, while three appendices conclude the whole: Elliptic Curves in Characteristics 2 and 3, Group Cohomology, and an overview of more advanced topics.
Author : David Eugene Smith
Publisher :
ISBN 13 :
Total Pages : 298 pages
Book Rating : 4.A/5 ( download)
Download or read book Advanced Arithmetic written by David Eugene Smith and published by . This book was released on 1905 with total page 298 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : John William McClymonds
Publisher :
ISBN 13 :
Total Pages : 338 pages
Book Rating : 4.F/5 ( download)
Download or read book Advanced Arithmetic written by John William McClymonds and published by . This book was released on 1910 with total page 338 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Michael J. Flynn
Publisher : Wiley-Interscience
ISBN 13 :
Total Pages : 352 pages
Book Rating : 4.3/5 (91 download)
Download or read book Advanced Computer Arithmetic Design written by Michael J. Flynn and published by Wiley-Interscience. This book was released on 2001 with total page 352 pages. Available in PDF, EPUB and Kindle. Book excerpt: Innovative techniques and cutting-edge research in computer arithmetic design Computer arithmetic is a fundamental discipline that drives many modern digital technologies. High-performance VLSI implementations of 3-D graphics, encryption, streaming digital audio and video, and signal processing all require fast and efficient computer arithmetic algorithms. The demand for these fast implementations has led to a wealth of new research in innovative techniques and designs. Advanced Computer Arithmetic Design is the result of ten years of effort at Stanford University under the Sub-Nanosecond Arithmetic Processor (SNAP) project, which author Michael Flynn directs. Written with computer designers and researchers in mind, this volume focuses on design, rather than on other aspects of computer arithmetic such as number systems, representation, or precision. Each chapter begins with a review of conventional design approaches, analyzes the possibilities for improvement, and presents new research that advances the state of the art. The authors present new data in these vital areas: ? Addition and the Ling adder ? Improvements to floating-point addition ? Encoding to reduce execution times for multiplication ? The effects of technology scaling on multiplication ? Techniques for floating-point division ? Approximation techniques for high-level functions such as square root, logarithms, and trigonometric functions ? Assessing cost performance of arithmetic units ? Clocking to increase computer operation frequency ? New implementation of continued fractions to the approximation of functions This volume presents the results of a decade's research in innovative and progressive design techniques. Covering all the most important research topics in the field, Advanced Computer Arithmetic Design is the most up-to-date and comprehensive treatment of new research currently available.
Author : Danilo R. Diedrichs
Publisher : CRC Press
ISBN 13 : 1000581861
Total Pages : 704 pages
Book Rating : 4.0/5 (5 download)
Download or read book Transition to Advanced Mathematics written by Danilo R. Diedrichs and published by CRC Press. This book was released on 2022-05-22 with total page 704 pages. Available in PDF, EPUB and Kindle. Book excerpt: This unique and contemporary text not only offers an introduction to proofs with a view towards algebra and analysis, a standard fare for a transition course, but also presents practical skills for upper-level mathematics coursework and exposes undergraduate students to the context and culture of contemporary mathematics. The authors implement the practice recommended by the Committee on the Undergraduate Program in Mathematics (CUPM) curriculum guide, that a modern mathematics program should include cognitive goals and offer a broad perspective of the discipline. Part I offers: An introduction to logic and set theory. Proof methods as a vehicle leading to topics useful for analysis, topology, algebra, and probability. Many illustrated examples, often drawing on what students already know, that minimize conversation about "doing proofs." An appendix that provides an annotated rubric with feedback codes for assessing proof writing. Part II presents the context and culture aspects of the transition experience, including: 21st century mathematics, including the current mathematical culture, vocations, and careers. History and philosophical issues in mathematics. Approaching, reading, and learning from journal articles and other primary sources. Mathematical writing and typesetting in LaTeX. Together, these Parts provide a complete introduction to modern mathematics, both in content and practice. Table of Contents Part I - Introduction to Proofs Logic and Sets Arguments and Proofs Functions Properties of the Integers Counting and Combinatorial Arguments Relations Part II - Culture, History, Reading, and Writing Mathematical Culture, Vocation, and Careers History and Philosophy of Mathematics Reading and Researching Mathematics Writing and Presenting Mathematics Appendix A. Rubric for Assessing Proofs Appendix B. Index of Theorems and Definitions from Calculus and Linear Algebra Bibliography Index Biographies Danilo R. Diedrichs is an Associate Professor of Mathematics at Wheaton College in Illinois. Raised and educated in Switzerland, he holds a PhD in applied mathematical and computational sciences from the University of Iowa, as well as a master’s degree in civil engineering from the Ecole Polytechnique Fédérale in Lausanne, Switzerland. His research interests are in dynamical systems modeling applied to biology, ecology, and epidemiology. Stephen Lovett is a Professor of Mathematics at Wheaton College in Illinois. He holds a PhD in representation theory from Northeastern University. His other books include Abstract Algebra: Structures and Applications (2015), Differential Geometry of Curves and Surfaces, with Tom Banchoff (2016), and Differential Geometry of Manifolds (2019).
