Making Transcendence Transparent

Making Transcendence Transparent PDF Author: Edward B. Burger
Publisher: Springer Science & Business Media
ISBN: 1475741146
Category : Mathematics
Languages : en
Pages : 266

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Book Description
This is the first book that makes the difficult and important subject of transcendental number theory accessible to undergraduate mathematics students. Edward Burger is one of the authors of The Heart of Mathematics, winner of a 2001 Robert W. Hamilton Book Award. He will also be awarded the 2004 Chauvenet Prize, one of the most prestigious MAA prizes for outstanding exposition.

Making Transcendence Transparent

Making Transcendence Transparent PDF Author: Edward B. Burger
Publisher: Springer Science & Business Media
ISBN: 1475741146
Category : Mathematics
Languages : en
Pages : 266

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Book Description
This is the first book that makes the difficult and important subject of transcendental number theory accessible to undergraduate mathematics students. Edward Burger is one of the authors of The Heart of Mathematics, winner of a 2001 Robert W. Hamilton Book Award. He will also be awarded the 2004 Chauvenet Prize, one of the most prestigious MAA prizes for outstanding exposition.

Zen and the Art of Making a Living

Zen and the Art of Making a Living PDF Author: Laurence G. Boldt
Publisher: Penguin
ISBN: 9780140195996
Category : Business & Economics
Languages : en
Pages : 708

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Book Description
Applies Zen philosophies and techniques to uncovering one's talents, assessing career skills, marketing one's abilities, and conducting a job search

Number Theory in Function Fields

Number Theory in Function Fields PDF Author: Michael Rosen
Publisher: Springer Science & Business Media
ISBN: 1475760469
Category : Mathematics
Languages : en
Pages : 355

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Book Description
Early in the development of number theory, it was noticed that the ring of integers has many properties in common with the ring of polynomials over a finite field. The first part of this book illustrates this relationship by presenting analogues of various theorems. The later chapters probe the analogy between global function fields and algebraic number fields. Topics include the ABC-conjecture, Brumer-Stark conjecture, and Drinfeld modules.

Fourier Analysis

Fourier Analysis PDF Author: Eric Stade
Publisher: John Wiley & Sons
ISBN: 1118165519
Category : Mathematics
Languages : en
Pages : 519

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Book Description
A reader-friendly, systematic introduction to Fourier analysis Rich in both theory and application, Fourier Analysis presents a unique and thorough approach to a key topic in advanced calculus. This pioneering resource tells the full story of Fourier analysis, including its history and its impact on the development of modern mathematical analysis, and also discusses essential concepts and today's applications. Written at a rigorous level, yet in an engaging style that does not dilute the material, Fourier Analysis brings two profound aspects of the discipline to the forefront: the wealth of applications of Fourier analysis in the natural sciences and the enormous impact Fourier analysis has had on the development of mathematics as a whole. Systematic and comprehensive, the book: Presents material using a cause-and-effect approach, illustrating where ideas originated and what necessitated them Includes material on wavelets, Lebesgue integration, L2 spaces, and related concepts Conveys information in a lucid, readable style, inspiring further reading and research on the subject Provides exercises at the end of each section, as well as illustrations and worked examples throughout the text Based upon the principle that theory and practice are fundamentally linked, Fourier Analysis is the ideal text and reference for students in mathematics, engineering, and physics, as well as scientists and technicians in a broad range of disciplines who use Fourier analysis in real-world situations.

A Course of Modern Analysis

A Course of Modern Analysis PDF Author: E. T. Whittaker
Publisher: Cambridge University Press
ISBN: 1009008595
Category : Mathematics
Languages : en
Pages : 722

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Book Description
This classic work has been a unique resource for thousands of mathematicians, scientists and engineers since its first appearance in 1902. Never out of print, its continuing value lies in its thorough and exhaustive treatment of special functions of mathematical physics and the analysis of differential equations from which they emerge. The book also is of historical value as it was the first book in English to introduce the then modern methods of complex analysis. This fifth edition preserves the style and content of the original, but it has been supplemented with more recent results and references where appropriate. All the formulas have been checked and many corrections made. A complete bibliographical search has been conducted to present the references in modern form for ease of use. A new foreword by Professor S.J. Patterson sketches the circumstances of the book's genesis and explains the reasons for its longevity. A welcome addition to any mathematician's bookshelf, this will allow a whole new generation to experience the beauty contained in this text.

The Power of Meaning

The Power of Meaning PDF Author: Emily Esfahani Smith
Publisher: Crown
ISBN: 055344655X
Category : Self-Help
Languages : en
Pages : 269

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Book Description
In a culture obsessed with happiness, this wise, stirring book points the way toward a richer, more satisfying life. Too many of us believe that the search for meaning is an esoteric pursuit—that you have to travel to a distant monastery or page through dusty volumes to discover life’s secrets. The truth is, there are untapped sources of meaning all around us—right here, right now. To explore how we can craft lives of meaning, Emily Esfahani Smith synthesizes a kaleidoscopic array of sources—from psychologists, sociologists, philosophers, and neuroscientists to figures in literature and history such as George Eliot, Viktor Frankl, Aristotle, and the Buddha. Drawing on this research, Smith shows us how cultivating connections to others, identifying and working toward a purpose, telling stories about our place in the world, and seeking out mystery can immeasurably deepen our lives. To bring what she calls the four pillars of meaning to life, Smith visits a tight-knit fishing village in the Chesapeake Bay, stargazes in West Texas, attends a dinner where young people gather to share their experiences of profound loss, and more. She also introduces us to compelling seekers of meaning—from the drug kingpin who finds his purpose in helping people get fit to the artist who draws on her Hindu upbringing to create arresting photographs. And she explores how we might begin to build a culture that leaves space for introspection and awe, cultivates a sense of community, and imbues our lives with meaning. Inspiring and story-driven, The Power of Meaning will strike a profound chord in anyone seeking a life that matters.

Transcendence

Transcendence PDF Author: Christopher McKitterick
Publisher: Hadley Rille Books
ISBN:
Category : Fiction
Languages : en
Pages : 403

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Book Description
Humankind rushes toward self-destruction and must evolve or die. Our perspective: a scientist exploring an alien artifact on Triton, a teen-aged hacker in a city gone mad, three actors manipulated into igniting interplanetary war, the de-facto ruler of half the solar system, a soldier fighting in Africa to entertain his audience, an artificial intelligence facing personal crisis, and a cast of billions.--Publisher description.

Surveys in Number Theory

Surveys in Number Theory PDF Author: Krishnaswami Alladi
Publisher: Springer Science & Business Media
ISBN: 0387785108
Category : Mathematics
Languages : en
Pages : 193

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Book Description
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).

From Arithmetic to Zeta-Functions

From Arithmetic to Zeta-Functions PDF Author: Jürgen Sander
Publisher: Springer
ISBN: 3319282034
Category : Mathematics
Languages : en
Pages : 552

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Book Description
This book collects more than thirty contributions in memory of Wolfgang Schwarz, most of which were presented at the seventh International Conference on Elementary and Analytic Number Theory (ELAZ), held July 2014 in Hildesheim, Germany. Ranging from the theory of arithmetical functions to diophantine problems, to analytic aspects of zeta-functions, the various research and survey articles cover the broad interests of the well-known number theorist and cherished colleague Wolfgang Schwarz (1934-2013), who contributed over one hundred articles on number theory, its history and related fields. Readers interested in elementary or analytic number theory and related fields will certainly find many fascinating topical results among the contributions from both respected mathematicians and up-and-coming young researchers. In addition, some biographical articles highlight the life and mathematical works of Wolfgang Schwarz.

Coincidences, Chaos, and All that Math Jazz

Coincidences, Chaos, and All that Math Jazz PDF Author: Edward B. Burger
Publisher: W. W. Norton & Company
ISBN: 9780393059458
Category : Mathematics
Languages : en
Pages : 300

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Book Description
An explanation of challenging puzzles within the world of mathematics considers such topics as the link between a pineapple's spirals and the famous Fibonacci numbers, and the shape of the universe as reflected by a twisted strip of paper.