The Power of q: A Personal Journey: 49 (Developments in Mathematics, 49) - Image 1

£98.82

About as cheap as it gets — within 5% of the all-time low it hit 2 months ago.

£99 today · all-time low £98 (Aug 2026) · usually £99

Springer The Power of q: A Personal Journey: 49 (Developments in Mathematics, 49)

Name: The Power of q: A Personal Journey: 49 (Developments in Mathematics, 49)
Brand: Springer
Price: 98.82 GBP
Availability: InStock

Higher Education

Price Distribution

Price distribution over 62 days • 2 price levels

Days at Price

Current Price

Price Analysis

Most common price: £99 (46 days, 74.2%)

Price range: £98 - £99

Price levels: 2 different prices over 62 days

Description

This unique book explores the world of q, known technically as basic hypergeometric series, and represents the author’s personal and life-long study―inspired by Ramanujan―of aspects of this broad topic. While the level of mathematical sophistication is graduated, the book is designed to appeal to advanced undergraduates as well as researchers in the field. The principal aims are to demonstrate the power of the methods and the beauty of the results. The book contains novel proofs of many results in the theory of partitions and the theory of representations, as well as associated identities. Though not specifically designed as a textbook, parts of it may be presented in course work; it has many suitable exercises. After an introductory chapter, the power of q-series is demonstrated with proofs of Lagrange’s four-squares theorem and Gauss’s two-squares theorem. Attention then turns to partitions and Ramanujan’s partition congruences. Several proofs of these are given throughout the book. Many chapters are devoted to related and other associated topics. One highlight is a simple proof of an identity of Jacobi with application to string theory. On the way, we come across the Rogers–Ramanujan identities and the Rogers–Ramanujan continued fraction, the famous “forty identities” of Ramanujan, and the representation results of Jacobi, Dirichlet and Lorenz, not to mention many other interesting and beautiful results. We also meet a challenge of D.H. Lehmer to give a formula for the number of partitions of a number into four squares, prove a “mysterious” partition theorem of H. Farkas and prove a conjecture of R.Wm. Gosper “which even Erdős couldn’t do.” The book concludes with a look at Ramanujan’s remarkable tau function.

Product Specifications

Brand: Springer
Format: hardcover
ASIN: 3319577611
Category: Books > Subjects > Science, Nature & Maths > Mathematics > Education > Higher Education
Domain: Amazon UK
Release Date: 16 August 2017
Listed Since: 23 March 2017

Barcode

No barcode data available

About as cheap as it gets — within 5% of the all-time low it hit 2 months ago.

Springer The Power of q: A Personal Journey: 49 (Developments in Mathematics, 49)

Price Distribution

Price Analysis

Description

Product Specifications

Barcode

Similar Products You Might Like

Ramanujan's Lost Notebook: Part III

Analytic Number Theory, Modular Forms and q-Hypergeometric Series: In Honor of Krishna Alladi's 60th Birthday, University of Florida, Gainesville, ... Proceedings in Mathematics & Statistics, 221)

Ramanujan's Lost Notebook: Part IV

Multiple Dirichlet Series, L-functions and Automorphic Forms: 300 (Progress in Mathematics, 300)

Ramanujan 125: International Conference to Commemorate the 125th Anniversary of Ramanujan's Birth Ramanujan 125 November 5-7, 2012 University of ... Florida (Contemporary Mathematics)

Relative Trace Formulas (Simons Symposia)

Topics and Methods in Q-Series (Monographs in Number Theory: Volume 8)

George E. Andrews 80 Years of Combinatory Analysis (Trends in Mathematics)

George E. Andrews 80 Years of Combinatory Analysis (Trends in Mathematics)

Number Theory (P): A Study in Analytic Number Theory and Computational Complexity (Canadian Mathematical Society Series of Monographs and Advan)

Number Theory and Discrete Mathematics (Trends in Mathematics)

Analytic Number Theory: In Honor of Helmut Maier’s 60th Birthday

Symbolic Computation, Number Theory, Special Functions, Physics and Combinatorics: 4 (Developments in Mathematics, 4)

Pillars of Transcendental Number Theory

An Invitation To Algebraic Numbers And Algebraic Functions

Automorphic Forms and Applications (IAS/Park City Mathematics): Mathematics Series Volume 12 (IAS/Park City Mathematics Series)

Analytic Methods in Number Theory - Complex Numbers Count

An Introduction to G-Functions (Annals of Mathematics Studies, 133)

About as cheap as it gets — within 5% of the all-time low it hit 2 months ago.

Springer The Power of q: A Personal Journey: 49 (Developments in Mathematics, 49)

Price History & Forecast

Price Distribution

Price Analysis

Description

Product Specifications

Barcode

Similar Products You Might Like

Ramanujan's Lost Notebook: Part III

Analytic Number Theory, Modular Forms and q-Hypergeometric Series: In Honor of Krishna Alladi's 60th Birthday, University of Florida, Gainesville, ... Proceedings in Mathematics & Statistics, 221)

Ramanujan's Lost Notebook: Part IV

Multiple Dirichlet Series, L-functions and Automorphic Forms: 300 (Progress in Mathematics, 300)

Ramanujan 125: International Conference to Commemorate the 125th Anniversary of Ramanujan's Birth Ramanujan 125 November 5-7, 2012 University of ... Florida (Contemporary Mathematics)

Relative Trace Formulas (Simons Symposia)

Topics and Methods in Q-Series (Monographs in Number Theory: Volume 8)

George E. Andrews 80 Years of Combinatory Analysis (Trends in Mathematics)

George E. Andrews 80 Years of Combinatory Analysis (Trends in Mathematics)

Number Theory (P): A Study in Analytic Number Theory and Computational Complexity (Canadian Mathematical Society Series of Monographs and Advan)

Number Theory and Discrete Mathematics (Trends in Mathematics)

Analytic Number Theory: In Honor of Helmut Maier’s 60th Birthday

Symbolic Computation, Number Theory, Special Functions, Physics and Combinatorics: 4 (Developments in Mathematics, 4)

Pillars of Transcendental Number Theory

An Invitation To Algebraic Numbers And Algebraic Functions

Automorphic Forms and Applications (IAS/Park City Mathematics): Mathematics Series Volume 12 (IAS/Park City Mathematics Series)

Analytic Methods in Number Theory - Complex Numbers Count

An Introduction to G-Functions (Annals of Mathematics Studies, 133)