(Išleidimo metai: 06-Oct-2006, Hardback, Leidėjas: Springer-Verlag Berlin and Heidelberg GmbH & Co. K, ISBN-13: 9783540245025)
In todays unsafe and increasingly wired world cryptology plays a vital role in protecting communication channels, databases, and software from unwanted intruders. This revised and extended third edition of the classic reference work on cryptology no...Daugiau...
This authoritative volume covers aspects of the life and enduring mathematical research of Srinivasa Ramanujan. Born in the late 19th century, Ramanujan had almost no formal training in pure mathematics. This iconic figure made extraordinary contr...Daugiau...
This monograph originates from a study of the continued fraction z = ( 1, 2, 3, ...), which we call the Zopf number. Its origins date back to 1929 when Siegel introduced it as a ratio of Bessel functions. Continued fractions is most often styled cl...Daugiau...
(Išleidimo metai: 28-Sep-2025, Hardback, Leidėjas: World Scientific Publishing Co Pte Ltd, ISBN-13: 9789811280535)
This monograph elucidates and extends many theorems and conjectures in analytic number theory and algebraic asymptotic analysis via the natural notions of degree and logexponential degree. The Riemann hypothesis, for example, is equivalent to the s...Daugiau...
(Išleidimo metai: 28-Sep-2025, Hardback, Leidėjas: World Scientific Publishing Co Pte Ltd, ISBN-13: 9789819801824)
Why are there more poor people with small bank accounts than rich people with big bank accounts? Why are there more small planets and stars than big ones in the cosmos? And why are there more small rivers than big rivers, and more harmless tremors t...Daugiau...
This volume is the proceedings of a special conference dedicated to the legacy of Prof. S.-S. Chern, virtually held at the Chern Institute of Mathematics, Nankai University. The conference lasted 2 weeks, and included more than 80 talks, highlight...Daugiau...
Number Systems: A Path into Rigorous Mathematics aims to introduce number systems to an undergraduate audience in a way that emphasises the importance of rigour, and with a focus on providing detailed but accessible explanations of t...Daugiau...
(Išleidimo metai: 31-Aug-2025, Hardback, Leidėjas: Cambridge University Press, ISBN-13: 9781009504553)
This comprehensive introduction to number theory will reward students and researchers with its insight and thoroughness. Suitable for course use and self-study, it avoids unnecessary abstraction and provides a wealth of thought-provoking examples and...Daugiau...
(Išleidimo metai: 30-Aug-2025, Hardback, Leidėjas: World Scientific Publishing Co Pte Ltd, ISBN-13: 9789819806546)
Number theory could be divided into additive number theory and multiplicative number theory. In this book we raise the so-called additive and multiplicative equation, it is our new creation, and it is the collection and extension of research results...Daugiau...
Mathematics of Networks: Modulus Theory and Convex Optimization is a book that seeks to answer the question: What can be learned by adapting the theory of p-modulus (and related continuum analysis concepts) to discrete graphs...Daugiau...
This book describes research problems by unifying and generalizing some remote-looking objects through the functional equation and the parity relation of relevant zeta functions, known as the modular relation or RHB correspondence. It provides exa...Daugiau...
This textbook is designed for an undergraduate course in computational or experimental mathematics. Many of the most interesting and important topics in theoretical mathematics are both motivated and illuminated by computation. By using a computer t...Daugiau...
This is a book for an undergraduate number theory course, senior thesis work, graduate level study, or for those wishing to learn about applications of number theory to data encryption and security. With no abstract algebra background required, it...Daugiau...
Exploring the evolution from its 1950s origins, the work examines how Iwasawa theory expanded from ideal class groups in cyclotomic towers linked to p-adic L-functions to influential applications in elliptic curves and modular forms. It updates clas...Daugiau...
(Išleidimo metai: 08-Jul-2025, Hardback, Leidėjas: World Scientific Publishing Co Pte Ltd, ISBN-13: 9789819813162)
The focus of this monograph is on the Jacobsthal sums of the title. These are quadratic character sums with polynomial arguments of a certain simple form. In addition to studying Jacobsthal sums on their own, the monograph explores their role in sev...Daugiau...
Inspired by the classic Recreations in the Theory of NumbersThe Queen of Mathematics Entertains by Albert H. Beiler, this book brings the excitement of recreational number theory into the 21st century through the lens of computational te...Daugiau...
An engaging exploration of ergodic theory leads readers through dynamical systems using measure theory and the Lebesgue integral. Invariant measures, recurrence theorems, mixing, and entropy bridge classical foundations with modern applications in n...Daugiau...
This is the fifth proceedings volume published under the Women in Numbers umbrella. The WIN workshops and their proceedings volumes are part of the WIN network, aimed at highlighting the research of women and gender minorities in number theory as...Daugiau...
Chord Transformations in Higher Dimenional Networks proposes an in-depth formal framework for generalized Tonnetze. It takes an algebraic approach and studies systems of k-chords in n-TET scales derived from a given k-mode (array of step intervals)...Daugiau...
An examination of some of the remarkable connections between group theory and arithmetic algebraic geometry over finite fieldsExponential sums have been of great interest ever since Gauss, and their importance in analytic number the...Daugiau...
(Išleidimo metai: 24-Jun-2025, Hardback, Leidėjas: Princeton University Press, ISBN-13: 9780691272269)
An examination of some of the remarkable connections between group theory and arithmetic algebraic geometry over finite fieldsExponential sums have been of great interest ever since Gauss, and their importance in analytic number the...Daugiau...
