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Author : Leon Ehrenpreis
Publisher : American Mathematical Soc.
ISBN 13 : 0821814842
Total Pages : 378 pages
Book Rating : 4.8/5 (218 download)
Download or read book Theta Functions-Bowdoin 1987, Part 2 written by Leon Ehrenpreis and published by American Mathematical Soc.. This book was released on 1989 with total page 378 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Leon Ehrenpreis
Publisher : American Mathematical Soc.
ISBN 13 : 0821814834
Total Pages : 730 pages
Book Rating : 4.8/5 (218 download)
Download or read book Theta Functions, Bowdoin 1987 written by Leon Ehrenpreis and published by American Mathematical Soc.. This book was released on 1989 with total page 730 pages. Available in PDF, EPUB and Kindle. Book excerpt: During his long and productive career, Salomon Bochner worked in a variety of different areas of mathematics. This four part set brings together his collected papers, illustrating the range and depth of his mathematical interests. The books are available either individually or as a set.
Author : Krishnaswami Alladi
Publisher : Springer Science & Business Media
ISBN 13 : 0387785108
Total Pages : 193 pages
Book Rating : 4.3/5 (877 download)
Download or read book Surveys in Number Theory written by Krishnaswami Alladi and published by Springer Science & Business Media. This book was released on 2009-03-02 with total page 193 pages. Available in PDF, EPUB and Kindle. Book excerpt: Number theory has a wealth of long-standing problems, the study of which over the years has led to major developments in many areas of mathematics. This volume consists of seven significant chapters on number theory and related topics. Written by distinguished mathematicians, key topics focus on multipartitions, congruences and identities (G. Andrews), the formulas of Koshliakov and Guinand in Ramanujan's Lost Notebook (B. C. Berndt, Y. Lee, and J. Sohn), alternating sign matrices and the Weyl character formulas (D. M. Bressoud), theta functions in complex analysis (H. M. Farkas), representation functions in additive number theory (M. B. Nathanson), and mock theta functions, ranks, and Maass forms (K. Ono), and elliptic functions (M. Waldschmidt).
Author : Bruce C. Berndt
Publisher : American Mathematical Soc.
ISBN 13 : 0821827464
Total Pages : 290 pages
Book Rating : 4.8/5 (218 download)
Download or read book $q$-Series with Applications to Combinatorics, Number Theory, and Physics written by Bruce C. Berndt and published by American Mathematical Soc.. This book was released on 2001 with total page 290 pages. Available in PDF, EPUB and Kindle. Book excerpt: The subject of $q$-series can be said to begin with Euler and his pentagonal number theorem. In fact, $q$-series are sometimes called Eulerian series. Contributions were made by Gauss, Jacobi, and Cauchy, but the first attempt at a systematic development, especially from the point of view of studying series with the products in the summands, was made by E. Heine in 1847. In the latter part of the nineteenth and in the early part of the twentieth centuries, two Englishmathematicians, L. J. Rogers and F. H. Jackson, made fundamental contributions. In 1940, G. H. Hardy described what we now call Ramanujan's famous $ 1\psi 1$ summation theorem as ``a remarkable formula with many parameters.'' This is now one of the fundamental theorems of the subject. Despite humble beginnings,the subject of $q$-series has flourished in the past three decades, particularly with its applications to combinatorics, number theory, and physics. During the year 2000, the University of Illinois embraced The Millennial Year in Number Theory. One of the events that year was the conference $q$-Series with Applications to Combinatorics, Number Theory, and Physics. This event gathered mathematicians from the world over to lecture and discuss their research. This volume presents nineteen of thepapers presented at the conference. The excellent lectures that are included chart pathways into the future and survey the numerous applications of $q$-series to combinatorics, number theory, and physics.
Author : Hershel M. Farkas
Publisher : Springer Science & Business Media
ISBN 13 : 1461440742
Total Pages : 567 pages
Book Rating : 4.4/5 (614 download)
Download or read book From Fourier Analysis and Number Theory to Radon Transforms and Geometry written by Hershel M. Farkas and published by Springer Science & Business Media. This book was released on 2012-09-18 with total page 567 pages. Available in PDF, EPUB and Kindle. Book excerpt: A memorial conference for Leon Ehrenpreis was held at Temple University, November 15-16, 2010. In the spirit of Ehrenpreis’s contribution to mathematics, the papers in this volume, written by prominent mathematicians, represent the wide breadth of subjects that Ehrenpreis traversed in his career, including partial differential equations, combinatorics, number theory, complex analysis and a bit of applied mathematics. With the exception of one survey article, the papers in this volume are all new results in the various fields in which Ehrenpreis worked . There are papers in pure analysis, papers in number theory, papers in what may be called applied mathematics such as population biology and parallel refractors and papers in partial differential equations. The mature mathematician will find new mathematics and the advanced graduate student will find many new ideas to explore.A biographical sketch of Leon Ehrenpreis by his daughter, a professional journalist, enhances the memorial tribute and gives the reader a glimpse into the life and career of a great mathematician.
Author : George E. Andrews
Publisher : Springer
ISBN 13 : 331977834X
Total Pages : 430 pages
Book Rating : 4.3/5 (197 download)
Download or read book Ramanujan's Lost Notebook written by George E. Andrews and published by Springer. This book was released on 2018-09-05 with total page 430 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the spring of 1976, George Andrews of Pennsylvania State University visited the library at Trinity College, Cambridge, to examine the papers of the late G.N. Watson. Among these papers, Andrews discovered a sheaf of 138 pages in the handwriting of Srinivasa Ramanujan. This manuscript was soon designated, "Ramanujan's lost notebook." Its discovery has frequently been deemed the mathematical equivalent of finding Beethoven's tenth symphony. This fifth and final installment of the authors’ examination of Ramanujan’s lost notebook focuses on the mock theta functions first introduced in Ramanujan’s famous Last Letter. This volume proves all of the assertions about mock theta functions in the lost notebook and in the Last Letter, particularly the celebrated mock theta conjectures. Other topics feature Ramanujan’s many elegant Euler products and the remaining entries on continued fractions not discussed in the preceding volumes. Review from the second volume:"Fans of Ramanujan's mathematics are sure to be delighted by this book. While some of the content is taken directly from published papers, most chapters contain new material and some previously published proofs have been improved. Many entries are just begging for further study and will undoubtedly be inspiring research for decades to come. The next installment in this series is eagerly awaited."- MathSciNet Review from the first volume:"Andrews and Berndt are to be congratulated on the job they are doing. This is the first step...on the way to an understanding of the work of the genius Ramanujan. It should act as an inspiration to future generations of mathematicians to tackle a job that will never be complete."- Gazette of the Australian Mathematical Society
Author : Paulo Ribenboim
Publisher : Springer Science & Business Media
ISBN 13 : 0387227547
Total Pages : 384 pages
Book Rating : 4.3/5 (872 download)
Download or read book My Numbers, My Friends written by Paulo Ribenboim and published by Springer Science & Business Media. This book was released on 2006-05-10 with total page 384 pages. Available in PDF, EPUB and Kindle. Book excerpt: This selection of expository essays by Paulo Ribenboim should be of interest to mathematicians from all walks. Ribenboim, a highly praised author of several popular titles, writes each essay in a light and humorous language without secrets, making them thoroughly accessible to everyone with an interest in numbers. This new collection includes essays on Fibonacci numbers, prime numbers, Bernoulli numbers, and historical presentations of the main problems pertaining to elementary number theory, such as Kummers work on Fermat's last theorem.
Author : Mourad E. H. Ismail
Publisher : Springer Science & Business Media
ISBN 13 : 0387242333
Total Pages : 497 pages
Book Rating : 4.3/5 (872 download)
Download or read book Theory and Applications of Special Functions written by Mourad E. H. Ismail and published by Springer Science & Business Media. This book was released on 2006-03-30 with total page 497 pages. Available in PDF, EPUB and Kindle. Book excerpt: A collection of articles on various aspects of q-series and special functions dedicated to Mizan Rahman. It also includes an article by Askey, Ismail, and Koelink on Rahman’s mathematical contributions and how they influenced the recent upsurge in the subject.
Author : Bruce C. Berndt
Publisher : Springer Science & Business Media
ISBN 13 : 146120965X
Total Pages : 521 pages
Book Rating : 4.4/5 (612 download)
Download or read book Ramanujan’s Notebooks written by Bruce C. Berndt and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 521 pages. Available in PDF, EPUB and Kindle. Book excerpt: Upon Ramanujans death in 1920, G. H. Hardy strongly urged that Ramanujans notebooks be published and edited. In 1957, the Tata Institute of Fundamental Research in Bombay finally published a photostat edition of the notebooks, but no editing was undertaken. In 1977, Berndt began the task of editing Ramanujans notebooks: proofs are provided to theorems not yet proven in previous literature, and many results are so startling as to be unique.
Author : Klaus Hulek
Publisher : Springer
ISBN 13 : 3540467866
Total Pages : 184 pages
Book Rating : 4.5/5 (44 download)
Download or read book Complex Algebraic Varieties written by Klaus Hulek and published by Springer. This book was released on 2006-11-14 with total page 184 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Bayreuth meeting on "Complex Algebraic Varieties" focussed on the classification of algebraic varieties and topics such as vector bundles, Hodge theory and hermitian differential geometry. Most of the articles in this volume are closely related to talks given at the conference: all are original, fully refereed research articles. CONTENTS: A. Beauville: Annulation du H(1) pour les fibres en droites plats.- M. Beltrametti, A.J. Sommese, J.A. Wisniewski: Results on varieties with many lines and their applications to adjunction theory.- G. Bohnhorst, H. Spindler: The stability of certain vector bundles on P(n) .- F. Catanese, F. Tovena: Vector bundles, linear systems and extensions of (1).- O. Debarre: Vers uns stratification de l'espace des modules des varietes abeliennes principalement polarisees.- J.P. Demailly: Singular hermitian metrics on positive line bundles.- T. Fujita: On adjoint bundles of ample vector bundles.- Y. Kawamata: Moderate degenerations of algebraic surfaces.- U. Persson: Genus two fibrations revisited.- Th. Peternell, M. Szurek, J.A. Wisniewski: Numerically effective vector bundles with small Chern classes.- C.A.M. Peters: On the rank of non-rigid period maps in the weight one and two case.- A.N. Tyurin: The geometry of the special components of moduli space of vector bundles over algebraic surfaces of general type.
Author : Tiago J. Fonseca
Publisher : American Mathematical Society
ISBN 13 : 147046019X
Total Pages : 158 pages
Book Rating : 4.4/5 (74 download)
Download or read book Higher Ramanujan Equations and Periods of Abelian Varieties written by Tiago J. Fonseca and published by American Mathematical Society. This book was released on 2023-01-18 with total page 158 pages. Available in PDF, EPUB and Kindle. Book excerpt: View the abstract.
Author : Avner Ash
Publisher : Cambridge University Press
ISBN 13 : 0521739551
Total Pages : 241 pages
Book Rating : 4.5/5 (217 download)
Download or read book Smooth Compactifications of Locally Symmetric Varieties written by Avner Ash and published by Cambridge University Press. This book was released on 2010-01-14 with total page 241 pages. Available in PDF, EPUB and Kindle. Book excerpt: The new edition of this celebrated and long-unavailable book preserves the original book's content and structure and its unrivalled presentation of a universal method for the resolution of a class of singularities in algebraic geometry.
Author : Gregory V. Bard
Publisher : American Mathematical Society
ISBN 13 : 1470461552
Total Pages : 158 pages
Book Rating : 4.4/5 (74 download)
Download or read book Sage for Undergraduates written by Gregory V. Bard and published by American Mathematical Society. This book was released on 2022-09-26 with total page 158 pages. Available in PDF, EPUB and Kindle. Book excerpt: As the open-source and free alternative to expensive software like Maple™, Mathematica®, and MATLAB®, Sage offers anyone with a web browser the ability to use cutting-edge mathematical software and share the results with others, often with stunning graphics. This book is a gentle introduction to Sage for undergraduate students during Calculus II, Multivariate Calculus, Differential Equations, Linear Algebra, Math Modeling, or Operations Research. This book assumes no background in programming, but the reader who finishes the book will have learned about 60 percent of a first semester computer science course, including much of the Python programming language. The audience is not only math majors, but also physics, engineering, environmental science, finance, chemistry, economics, data science, and computer science majors. Many of the book's examples are drawn from those fields. Filled with “challenges” for the students to test their progress, the book is also ideal for self-study. What's New in the Second Edition: In 2019, Sage transitioned from Python 2 to Python 3, which changed the syntax in several significant ways, including for the print command. All the examples in this book have been rewritten to be compatible with Python 3. Moreover, every code block longer than four lines has been placed in an archive on the book's website http://www.sage-for-undergraduates.org that is maintained by the author, so that the students won't have to retype the code! Other additions include… The number of “challenges” for the students to test their own progress in learning Sage has roughly doubled, which will be a great boon for self-study.There's approximately 150 pages of new content, including: New projects on Leontief Input-Output Analysis and on Environmental ScienceNew sections on Complex Numbers and Complex Analysis, on SageTex, and on solving problems via Monte-Carlo Simulations.The first three sections of Chapter 1 have been completely rewritten to give absolute beginners a smoother transition into Sage.
Author : V.A. Malyshev
Publisher : Springer Science & Business Media
ISBN 13 : 9401005753
Total Pages : 335 pages
Book Rating : 4.4/5 (1 download)
Download or read book Asymptotic Combinatorics with Application to Mathematical Physics written by V.A. Malyshev and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 335 pages. Available in PDF, EPUB and Kindle. Book excerpt: New and striking results obtained in recent years from an intensive study of asymptotic combinatorics have led to a new, higher level of understanding of related problems: the theory of integrable systems, the Riemann-Hilbert problem, asymptotic representation theory, spectra of random matrices, combinatorics of Young diagrams and permutations, and even some aspects of quantum field theory.
Author : Charles Dunkl
Publisher : World Scientific
ISBN 13 : 9814492523
Total Pages : 452 pages
Book Rating : 4.8/5 (144 download)
Download or read book Special Functions written by Charles Dunkl and published by World Scientific. This book was released on 2000-10-27 with total page 452 pages. Available in PDF, EPUB and Kindle. Book excerpt: Special functions and q-series are currently very active areas of research which overlap with many other areas of mathematics, such as representation theory, classical and quantum groups, affine Lie algebras, number theory, harmonic analysis, and mathematical physics. This book presents the state-of-the-art of the subject and its applications. Contents: Integral Representations of Quasi Hypergeometric Functions (K Aomoto)Generating Functions Associated with Dihedral Groups (C F Dunkl)Some Relations for Partitions into Four Squares (M D Hirschhorn & J A Sellers)On a Nonlinear Recurrence Related to Nevai Polynomials (D Kaminski)The Brahmagupta Matrix and Its Applications to Tiling (R Rangarajan & E R Suryanarayan)Solitons and Coulomb Plasmas, Similarity Reductions and Special Functions (V P Spiridonov)Orthogonal Polynomials and Their Asymptotic Behavior (R Wong)A Product Formula for Jacobi Polynomials (Y Xu)and other papers Readership: Researchers and graduate students in asymptotics, harmonic analysis and mathematical physics. Keywords:Special Functions;q-Series;Quasi Hypergeometric Functions;Generating Functions;Nevai Polynomials;Brahmagupta Matrix;Tiling;Orthogonal Polynomials;Jacobi Polynomials;Asymptotics;Harmonic Analysis
Author : James Cogdell
Publisher : American Mathematical Society
ISBN 13 : 1470454947
Total Pages : 852 pages
Book Rating : 4.4/5 (74 download)
Download or read book Selected Works of Ilya Piatetski-Shapiro written by James Cogdell and published by American Mathematical Society. This book was released on 2022-11-03 with total page 852 pages. Available in PDF, EPUB and Kindle. Book excerpt: This selection of papers of I. Piatetski-Shapiro represents almost 50 years of his mathematical activity. Included are many of his major papers in harmonic analysis, number theory, discrete groups, bounded homogeneous domains, algebraic geometry, automorphic forms, and automorphic $L$-functions. The papers in the volume are intended as a representative and accurate reflection of both the breadth and depth of Piatetski-Shapiro's work in mathematics. Some of his early works, such as those on the prime number theorem and on sets of uniqueness for trigonometric series, appear for the first time in English. Also included are several commentaries by his close colleagues. This volume offers an elegant representation of the contributions made by this renowned mathematician.
Author : B. Brent Gordon
Publisher : American Mathematical Soc.
ISBN 13 : 9780821870204
Total Pages : 468 pages
Book Rating : 4.8/5 (72 download)
Download or read book The Arithmetic and Geometry of Algebraic Cycles written by B. Brent Gordon and published by American Mathematical Soc.. This book was released on 2000-01-01 with total page 468 pages. Available in PDF, EPUB and Kindle. Book excerpt: From the June 1998 Summer School come 20 contributions that explore algebraic cycles (a subfield of algebraic geometry) from a variety of perspectives. The papers have been organized into sections on cohomological methods, Chow groups and motives, and arithmetic methods. Some specific topics include logarithmic Hodge structures and classifying spaces; Bloch's conjecture and the K-theory of projective surfaces; and torsion zero-cycles and the Abel-Jacobi map over the real numbers.
