Search Results for "numbers-sequences-and-series-modular-mathematics-series"

Numbers, Sequences and Series

Numbers, Sequences and Series

  • Author: Keith E. Hirst
  • Publisher: Butterworth-Heinemann
  • ISBN: 0340610433
  • Category: Mathematics
  • Page: 198
  • View: 9434
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Concerned with the logical foundations of number systems from integers to complex numbers.

Groups - Modular Mathematics Series

Groups - Modular Mathematics Series

  • Author: Camilla Jordan,David Jordan
  • Publisher: Butterworth-Heinemann
  • ISBN: 0080571654
  • Category: Mathematics
  • Page: 224
  • View: 6967
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This text provides an introduction to group theory with an emphasis on clear examples. The authors present groups as naturally occurring structures arising from symmetry in geometrical figures and other mathematical objects. Written in a 'user-friendly' style, where new ideas are always motivated before being fully introduced, the text will help readers to gain confidence and skill in handling group theory notation before progressing on to applying it in complex situations. An ideal companion to any first or second year course on the topic.

Modular Functions and Dirichlet Series in Number Theory

Modular Functions and Dirichlet Series in Number Theory

  • Author: Tom M. Apostol
  • Publisher: Springer Science & Business Media
  • ISBN: 1468499106
  • Category: Mathematics
  • Page: 198
  • View: 1622
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This is the second volume of a 2-volume textbook* which evolved from a course (Mathematics 160) offered at the California Institute of Technology du ring the last 25 years. The second volume presupposes a background in number theory com parable to that provided in the first volume, together with a knowledge of the basic concepts of complex analysis. Most of the present volume is devoted to elliptic functions and modular functions with some of their number-theoretic applications. Among the major topics treated are Rademacher's convergent series for the partition function, Lehner's congruences for the Fourier coefficients of the modular functionj( r), and Hecke's theory of entire forms with multiplicative Fourier coefficients. The last chapter gives an account of Bohr's theory of equivalence of general Dirichlet series. Both volumes of this work emphasize classical aspects of a subject wh ich in recent years has undergone a great deal of modern development. It is hoped that these volumes will help the nonspecialist become acquainted with an important and fascinating part of mathematics and, at the same time, will provide some of the background that belongs to the repertory of every specialist in the field. This volume, like the first, is dedicated to the students who have taken this course and have gone on to make notable contributions to number theory and other parts of mathematics. T. M. A. January, 1976 * The first volume is in the Springer-Verlag series Undergraduate Texts in Mathematics under the title Introduction to Analytic Number Theory.

Modular Maths for Edexcel

Modular Maths for Edexcel

C1

  • Author: Andy Martin,Simon Riley
  • Publisher: Nelson Thornes
  • ISBN: 9780748767618
  • Category: Mathematics
  • Page: 108
  • View: 9465
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This AS Level course has been written for the new 2004 Edexcel modular specification, providing individual board-specific textbooks for each module. The series comprises four illustrated, textbooks covering the compulsory units C1 and C2 and optional units S1 and M1.

Grundzüge der Differential- und Integralrechnung

Grundzüge der Differential- und Integralrechnung

  • Author: Gerhard Kowalewski
  • Publisher: Springer-Verlag
  • ISBN: 3663159442
  • Category: Mathematics
  • Page: 422
  • View: 921
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Dieser Buchtitel ist Teil des Digitalisierungsprojekts Springer Book Archives mit Publikationen, die seit den Anfängen des Verlags von 1842 erschienen sind. Der Verlag stellt mit diesem Archiv Quellen für die historische wie auch die disziplingeschichtliche Forschung zur Verfügung, die jeweils im historischen Kontext betrachtet werden müssen. Dieser Titel erschien in der Zeit vor 1945 und wird daher in seiner zeittypischen politisch-ideologischen Ausrichtung vom Verlag nicht beworben.

Professor Stewarts mathematische Schätze

Professor Stewarts mathematische Schätze

  • Author: Ian Stewart
  • Publisher: Rowohlt Verlag GmbH
  • ISBN: 3644017115
  • Category: Mathematics
  • Page: 432
  • View: 2136
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Was war noch mal die Catalan’sche Vermutung? Und woher kommt eigentlich das Wurzelsymbol? Was hat die Zahl Pi mit dem Sternenhimmel zu tun? Wer erfand das Gleichheitszeichen? Der britische Matheguru Ian Stewart breitet in diesem Band Schätze aus, die er in Jahrzehnten gesammelt hat: über 180 interessante Matherätsel, Lösungen, Spiele, Tricks, Geschichten, Anekdoten und Logeleien. Zudem ist Stewarts Schatztruhe mit interessanten historischen Exkursen angereichert, zum Beispiel einer kurzen Einführung in das Rechnen der Maya und der alten Ägypter und auch in die Vergangenheit unseres eigenen Rechnens: Wer erfand das Gleichheitszeichen – und warum? Ein Buch zum Blättern und Stöbern, zum Spaßhaben und Dazulernen, für Laien und für Fortgeschrittene.

Numbers and Proofs

Numbers and Proofs

  • Author: Reg Allenby
  • Publisher: Elsevier
  • ISBN: 0080928773
  • Category: Mathematics
  • Page: 288
  • View: 2784
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'Numbers and Proofs' presents a gentle introduction to the notion of proof to give the reader an understanding of how to decipher others' proofs as well as construct their own. Useful methods of proof are illustrated in the context of studying problems concerning mainly numbers (real, rational, complex and integers). An indispensable guide to all students of mathematics. Each proof is preceded by a discussion which is intended to show the reader the kind of thoughts they might have before any attempt proof is made. Established proofs which the student is in a better position to follow then follow. Presented in the author's entertaining and informal style, and written to reflect the changing profile of students entering universities, this book will prove essential reading for all seeking an introduction to the notion of proof as well as giving a definitive guide to the more common forms. Stressing the importance of backing up "truths" found through experimentation, with logically sound and watertight arguments, it provides an ideal bridge to more complex undergraduate maths.

Vollständige Anleitung zur Algebra

Vollständige Anleitung zur Algebra

  • Author: Leonhard Euler
  • Publisher: N.A
  • ISBN: N.A
  • Category: Algebra
  • Page: N.A
  • View: 6938
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Partitions, q-Series, and Modular Forms

Partitions, q-Series, and Modular Forms

  • Author: Krishnaswami Alladi,Frank Garvan
  • Publisher: Springer Science & Business Media
  • ISBN: 1461400287
  • Category: Mathematics
  • Page: 224
  • View: 5083
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Partitions, q-Series, and Modular Forms contains a collection of research and survey papers that grew out of a Conference on Partitions, q-Series and Modular Forms at the University of Florida, Gainesville in March 2008. It will be of interest to researchers and graduate students that would like to learn of recent developments in the theory of q-series and modular and how it relates to number theory, combinatorics and special functions.

Maths for Chemists: Power series, complex numbers and linear algebra

Maths for Chemists: Power series, complex numbers and linear algebra

  • Author: Martin Cockett,Graham Doggett
  • Publisher: Royal Society of Chemistry
  • ISBN: 9780854044955
  • Category: Education
  • Page: 143
  • View: 4655
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An excellent resource for all undergraduate chemistry students but particularly focussed on the needs of students who may not have studied mathematics beyond GCSE level (or equiv).

Competitive Math for Middle School

Competitive Math for Middle School

Algebra, Probability, and Number Theory

  • Author: Vinod Krishnamoorthy
  • Publisher: CRC Press
  • ISBN: 1351767631
  • Category: Mathematics
  • Page: 256
  • View: 4929
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The 39 self-contained sections in this book present worked-out examples as well as many sample problems categorized by the level of difficulty as Bronze, Silver, and Gold in order to help the readers gauge their progress and learning. Detailed solutions to all problems in each section are provided at the end of each chapter. The book can be used not only as a text but also for self-study. The text covers algebra (solving single equations and systems of equations of varying degrees, algebraic manipulations for creative problem solving, inequalities, basic set theory, sequences and series, rates and proportions, unit analysis, and percentages), probability (counting techniques, introductory probability theory, more set theory, permutations and combinations, expected value, and symmetry), and number theory (prime factorizations and their applications, Diophantine equations, number bases, modular arithmetic, and divisibility). It focuses on guiding students through creative problem-solving and on teaching them to apply their knowledge in a wide variety of scenarios rather than rote memorization of mathematical facts. It is aimed at, but not limited to, high-performing middle school students and goes further in depth and teaches new concepts not otherwise taught in traditional public schools.

GAMMA

GAMMA

Eulers Konstante, Primzahlstrände und die Riemannsche Vermutung

  • Author: Julian Havil
  • Publisher: Springer-Verlag
  • ISBN: 3540484965
  • Category: Mathematics
  • Page: 302
  • View: 6626
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Jeder kennt p = 3,14159..., viele kennen e = 2,71828..., einige i. Und dann? Die "viertwichtigste" Konstante ist die Eulersche Zahl g = 0,5772156... - benannt nach dem genialen Leonhard Euler (1707-1783). Bis heute ist unbekannt, ob g eine rationale Zahl ist. Das Buch lotet die "obskure" Konstante aus. Die Reise beginnt mit Logarithmen und der harmonischen Reihe. Es folgen Zeta-Funktionen und Eulers wunderbare Identität, Bernoulli-Zahlen, Madelungsche Konstanten, Fettfinger in Wörterbüchern, elende mathematische Würmer und Jeeps in der Wüste. Besser kann man nicht über Mathematik schreiben. Was Julian Havil dazu zu sagen hat, ist spektakulär.

Briefwechsel zwischen Leibniz und Christian Wolff

Briefwechsel zwischen Leibniz und Christian Wolff

  • Author: Gottfried Wilhelm Freiherr von Leibniz,Christian Freiherr von Wolff
  • Publisher: N.A
  • ISBN: N.A
  • Category: Philosophers
  • Page: 188
  • View: 8332
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Untersuchungen über höhere Arithmetik

Untersuchungen über höhere Arithmetik

  • Author: Carl Friedrich Gauss
  • Publisher: American Mathematical Soc.
  • ISBN: 0821842137
  • Category: Mathematics
  • Page: 695
  • View: 9987
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In this volume are included all of Gauss's number-theoretic works: his masterpiece, Disquisitiones Arithmeticae, published when Gauss was only 25 years old; several papers published during the ensuing 31 years; and papers taken from material found in Gauss's handwriting after his death. These papers include a fourth, fifth, and sixth proof of the Quadratic Reciprocity Law, researches on biquadratic residues, quadratic forms, and other topics. This reprint of the German translation from Latin of the second edition published in 1889 includes an extensive appendix and concludes with a commentary on the papers (with references, where appropriate, to the relevant pages of the Disquisitiones).

Analysis

Analysis

  • Author: Ekkehard Kopp
  • Publisher: Butterworth-Heinemann
  • ISBN: 0080928722
  • Category: Mathematics
  • Page: 200
  • View: 9202
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Building on the basic concepts through a careful discussion of covalence, (while adhering resolutely to sequences where possible), the main part of the book concerns the central topics of continuity, differentiation and integration of real functions. Throughout, the historical context in which the subject was developed is highlighted and particular attention is paid to showing how precision allows us to refine our geometric intuition. The intention is to stimulate the reader to reflect on the underlying concepts and ideas.

Mathematical Thinking

Mathematical Thinking

Problem-solving and Proofs

  • Author: Douglas Brent West
  • Publisher: Pearson College Division
  • ISBN: 9780132633932
  • Category: Mathematics
  • Page: 365
  • View: 4120
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Developing logical thinking and fundamental mathematical ideas, and using problems that pique students' mathematical curiosity, this work aims to prepare readers for all upper-division mathematics courses and improve their skills in presenting coherent arguments.

Bulletin of the Belgian Mathematical Society, Simon Stevin

Bulletin of the Belgian Mathematical Society, Simon Stevin

  • Author: N.A
  • Publisher: N.A
  • ISBN: N.A
  • Category: Mathematics
  • Page: N.A
  • View: 339
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Q-series

Q-series

Their Development and Application in Analysis, Number Theory, Combinatorics, Physics, and Computer Algebra

  • Author: George E. Andrews
  • Publisher: American Mathematical Soc.
  • ISBN: 9780821889114
  • Category: Mathematics
  • Page: 130
  • View: 4061
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Verallgemeinerte Stirling, Bernoulli und Euler Zahlen, deren Anwendungen und schnell konvergente Reihen für Zeta Funktionen

Verallgemeinerte Stirling, Bernoulli und Euler Zahlen, deren Anwendungen und schnell konvergente Reihen für Zeta Funktionen

  • Author: Michael Hauss
  • Publisher: N.A
  • ISBN: 9783826508639
  • Category: Euler characteristic
  • Page: 209
  • View: 1746
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Math Challenge III Number Theory

Math Challenge III Number Theory

  • Author: Kevin Wang Ph D,John Lensmire,David Reynoso
  • Publisher: Areteem Institute
  • ISBN: 9781944863432
  • Category:
  • Page: 106
  • View: 3052
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The math challenge curriculum textbook series is designed to help students learn the fundamental mathematical concepts and practice their in-depth problem solving skills with selected exercise problems. Ideally, these textbooks are used together with Areteem Institute's corresponding courses, either taken as live classes or as self-paced classes. According to the experience levels of the students in mathematics, the following courses are offered: Fun Math Problem Solving for Elementary School (grades 3-5) Algebra Readiness (grade 5; preparing for middle school) Math Challenge I-A Series (grades 6-8; intro to problem solving) Math Challenge I-B Series (grades 6-8; intro to math contests e.g. AMC 8, ZIML Div M) Math Challenge I-C Series (grades 6-8; topics bridging middle and high schools) Math Challenge II-A Series (grades 9+ or younger students preparing for AMC 10) Math Challenge II-B Series (grades 9+ or younger students preparing for AMC 12) Math Challenge III Series (preparing for AIME, ZIML Varsity, or equivalent contests) Math Challenge IV Series (Math Olympiad level problem solving) These courses are designed and developed by educational experts and industry professionals to bring real world applications into the STEM education. These programs are ideal for students who wish to win in Math Competitions (AMC, AIME, USAMO, IMO, ARML, MathCounts, Math League, Math Olympiad, ZIML, etc.), Science Fairs (County Science Fairs, State Science Fairs, national programs like Intel Science and Engineering Fair, etc.) and Science Olympiad, or purely want to enrich their academic lives by taking more challenges and developing outstanding analytical, logical thinking and creative problem solving skills. The Math Challenge III (MC III) courses are for students who are qualified to participate in the AIME contest, or at the equivalent level of experience. The MC III topics include polynomials, inequalities, special algebraic techniques, triangles and polygons, coordinates, numbers and divisibility, modular arithmetic, advanced counting strategies, binomial coefficients, sequence and series, complex numbers, trigonometry, logarithms, and various other topics, and the focus is more on in-depth problem solving strategies, including pairing, change of variables, advanced techniques in number theory and combinatorics, advanced probability theory and techniques, geometric transformations, etc. The curricula have been proven to help students develop strong problem solving skills that make them perform well in math contests such as AIME, ZIML, and ARML. The course is divided into four terms: Summer, covering Algebra Fall, covering Geometry Winter, covering Combinatorics Spring, covering Number Theory The book contains course materials for Math Challenge III: Number Theory. We recommend that students take all four terms. Each of the individual terms is self-contained and does not depend on other terms, so they do not need to be taken in order, and students can take single terms if they want to focus on specific topics. Students can sign up for the course at https: //classes.areteem.org for the live online version or at https: //www.edurila.com for the self-paced versio