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: 3684
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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: 8417
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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.

Numbers and Proofs

Numbers and Proofs

  • Author: Reg Allenby
  • Publisher: Elsevier
  • ISBN: 0080928773
  • Category: Mathematics
  • Page: 288
  • View: 4597
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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.

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: 1461209994
  • Category: Mathematics
  • Page: 207
  • View: 5934
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A new edition of a classical treatment of elliptic and modular functions with some of their number-theoretic applications, this text offers an updated bibliography and an alternative treatment of the transformation formula for the Dedekind eta function. It covers many topics, such as Hecke’s theory of entire forms with multiplicative Fourier coefficients, and the last chapter recounts Bohr’s theory of equivalence of general Dirichlet series.

Mathematics for Engineers and Technologists

Mathematics for Engineers and Technologists

  • Author: Huw Fox,William Bolton
  • Publisher: Elsevier
  • ISBN: 9780080511191
  • Category: Mathematics
  • Page: 337
  • View: 1554
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This book is carefully designed to be used on a wide range of introductory courses at first degree and HND level in the U.K., with content matched to a variety of first year degree modules from IEng and other BSc Engineering and Technology courses. Lecturers will find the breadth of material covered gears the book towards a flexible style of use, which can be tailored to their syllabus, and used along side the other IIE Core Textbooks to bring first year students up to speed on the mathematics they require for their engineering degree. *Features real-world examples, case studies, assignments and knowledge-check questions throughout *Introduces key mathematical methods in practical engineering contexts *Bridges the gap between theory and practice

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: 9963
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This book integrates recent developments and related applications in $q$-series with a historical development of the field, focusing on major breakthroughs and the author's own research interests. The author develops both the important analytic topics (Bailey chains, integrals, and constant terms) and applications to additive number theory. He concludes with applications to physics and computer algebra and a section on results closely related to Ramanujan's ""Lost Notebook."" With its wide range of applications, the book will interest researchers and students in combinatorics, additive number theory, special functions, statistical mechanics, and computer algebra. It is understandable to even a beginning graduate student in mathematics who has a background in advanced calculus and some mathematical maturity.

Modular Maths for Edexcel

Modular Maths for Edexcel

C1

  • Author: Andy Martin,Simon Riley
  • Publisher: Nelson Thornes
  • ISBN: 9780748767618
  • Category: Mathematics
  • Page: 108
  • View: 7740
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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.

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: 4021
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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).

Theorie und Anwendung der Unendlichen Reihen

Theorie und Anwendung der Unendlichen Reihen

  • Author: Konrad Knopp
  • Publisher: Springer-Verlag
  • ISBN: 3662419971
  • Category: Mathematics
  • Page: 584
  • View: 6702
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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.

Analysis 2

Analysis 2

Differentialrechnung im Rn, gewöhnliche Differentialgleichungen

  • Author: Otto Forster
  • Publisher: Springer-Verlag
  • ISBN: 3322919080
  • Category: Mathematics
  • Page: 164
  • View: 7796
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Der vorliegende Band stellt den zweiten Teil eines Analysis-Kurses für Studierende der Mathematik und Physik dar. Das erste Kapitel über Differentialrechnung im R^n behandelt nach einer Einführung in die topologischen Grundbegriffe Kurven im R^n, partielle Ableitungen, totale Differenzierbarkeit, Taylorsche Formel, Maxima und Minima von Funktionen mehrerer Veränderlichen, implizite Funktionen und parameterabhängige Integrale. Das zweite Kapitel gibt eine kurze Einführung in die Theorie der gewöhnlichen Differentialgleichungen. Nach dem Beweis des allgemeinen Existenz- und Eindeutigkeitssatzes und der Besprechung der Methode der Trennung der Variablen wird besonders auf die Theorie der linearen Differentialgleichungen eingegangen.

Analysis

Analysis

  • Author: P. E. Kopp
  • Publisher: Butterworth-Heinemann
  • ISBN: 0340645962
  • Category: Mathematics
  • Page: 188
  • View: 904
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This book builds on the material covered in Numbers, Sequences and Series, and provides students with a thorough understanding of the subject as it is covered on first year courses.

Vollständige Anleitung zur Algebra

Vollständige Anleitung zur Algebra

  • Author: Leonhard Euler
  • Publisher: N.A
  • ISBN: N.A
  • Category: Algebra
  • Page: N.A
  • View: 5604
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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: 9605
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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.

Professor Stewarts mathematische Schätze

Professor Stewarts mathematische Schätze

  • Author: Ian Stewart
  • Publisher: Rowohlt Verlag GmbH
  • ISBN: 3644017115
  • Category: Mathematics
  • Page: 432
  • View: 583
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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.

Untersuchungen über höhere Arithmetik

Untersuchungen über höhere Arithmetik

  • Author: Carl Friedrich Gauss
  • Publisher: American Mathematical Soc.
  • ISBN: 0821842137
  • Category: Mathematics
  • Page: 695
  • View: 5467
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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).

Mathematical Thinking

Mathematical Thinking

Problem-solving and Proofs

  • Author: John P. D'Angelo,Douglas Brent West
  • Publisher: Pearson College Division
  • ISBN: 9780130144126
  • Category: Mathematics
  • Page: 412
  • View: 3537
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This survey of both discrete and continuous mathematics focuses on the logical thinking skills necessary to understand and communicate fundamental ideas and proofs in mathematics, rather than on rote symbolic manipulation. Coverage begins with the fundamentals of mathematical language and proof techniques (such as induction); then applies them to easily-understood questions in elementary number theory and counting; then develops additional techniques of proofs via fundamental topics in discrete and continuous mathematics. Topics are addressed in the context of familiar objects; easily-understood, engaging examples; and over 700 stimulating exercises and problems, ranging from simple applications to subtle problems requiring ingenuity. ELEMENTARY CONCEPTS. Numbers, Sets and Functions. Language and Proofs. Properties of Functions. Induction. PROPERTIES OF NUMBERS. Counting and Cardinality. Divisibility. Modular Arithmetic. The Rational Numbers. DISCRETE MATHEMATICS. Combinatorial Reasoning. Two Principles of Counting. Graph Theory. Recurrence Relations. CONTINUOUS MATHEMATICS. The Real Numbers. Sequences and Series. Continuity. Differentiation. Integration. The Complex Numbers. For anyone interested in learning how to understand and write mathematical proofs, or a reference for college professors and high school teachers of mathematics.

GAMMA

GAMMA

Eulers Konstante, Primzahlstrände und die Riemannsche Vermutung

  • Author: Julian Havil
  • Publisher: Springer-Verlag
  • ISBN: 3540484965
  • Category: Mathematics
  • Page: 302
  • View: 4432
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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.

Gewinnen Strategien für mathematische Spiele

Gewinnen Strategien für mathematische Spiele

Band 3 Fallstudien

  • Author: Elwyn R. Berlekamp,John H. Conway,Richard K. Guy
  • Publisher: Springer-Verlag
  • ISBN: 3322831728
  • Category: Technology & Engineering
  • Page: 274
  • View: 2859
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Der dritte Band ,,Fallstudien" bietet eine Fülle von speziellen Beispielen.

Analytic and Elementary Number Theory

Analytic and Elementary Number Theory

A Tribute to Mathematical Legend Paul Erdos

  • Author: Krishnaswami Alladi,P.D.T.A. Elliott,A. Granville,G. Tenenbaum
  • Publisher: Springer
  • ISBN: 1475745079
  • Category: Mathematics
  • Page: 300
  • View: 5487
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This volume contains a collection of papers in Analytic and Elementary Number Theory in memory of Professor Paul Erdös, one of the greatest mathematicians of this century. Written by many leading researchers, the papers deal with the most recent advances in a wide variety of topics, including arithmetical functions, prime numbers, the Riemann zeta function, probabilistic number theory, properties of integer sequences, modular forms, partitions, and q-series. Audience: Researchers and students of number theory, analysis, combinatorics and modular forms will find this volume to be stimulating.

Discrete Mathematics DeMYSTiFied

Discrete Mathematics DeMYSTiFied

  • Author: Steven Krantz
  • Publisher: McGraw Hill Professional
  • ISBN: 0071549498
  • Category: Mathematics
  • Page: 364
  • View: 1087
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MULTIPLY your chances of understanding DISCRETE MATHEMATICS If you're interested in learning the fundamentals of discrete mathematics but can't seem to get your brain to function, then here's your solution. Add this easy-to-follow guide to the equation and calculate how quickly you learn the essential concepts. Written by award-winning math professor Steven Krantz, Discrete Mathematics Demystified explains this challenging topic in an effective and enlightening way. You will learn about logic, proofs, functions, matrices, sequences, series, and much more. Concise explanations, real-world examples, and worked equations make it easy to understand the material, and end-of-chapter exercises and a final exam help reinforce learning. This fast and easy guide offers: Numerous figures to illustrate key concepts Sample problems with worked solutions Coverage of set theory, graph theory, and number theory Chapters on cryptography and Boolean algebra A time-saving approach to performing better on an exam or at work Simple enough for a beginner, but challenging enough for an advanced student, Discrete Mathematics Demystified is your integral tool for mastering this complex subject.