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The Beginner's Guide to Constructing the Universe: The Mathematical Archetypes of Nature, Art, and Science
ISBN: 9780060926717 / Angielski / Miękka / 384 str. The Universe May Be a Mystery, Michael Schneider leads us on a spectacular, lavishly illustrated journey along the numbers one through ten to explore the mathematical principles made visible in flowers, shells, crystals, plants, and the human body, expressed in the symbolic language of folk sayings and fairy tales, myth and religion, art and architecture. This is a new view of mathematics, not the one we learned at school but a comprehensive guide to the patterns that recur through the universe and underlie human affairs. A Beginner's... The Universe May Be a Mystery, Michael Schneider leads us on a spectacular, lavishly illustrated jo... 

cena:
78,36 zł 
Elements of the Theory of Numbers
ISBN: 9780122091308 / Angielski / Twarda / 517 str. Elements of the Theory of Numbers teaches students how to develop, implement, and test numerical methods for standard mathematical problems. The authors have created a twopronged pedagogical approach that integrates analysis and algebra with classical number theory. Making greater use of the language and concepts in algebra and analysis than is traditionally encountered in introductory courses, this pedagogical approach helps to instill in the minds of the students the idea of the unity of mathematics. Elements of the Theory of Numbers is a superb summary of classical material...
Elements of the Theory of Numbers teaches students how to develop, implement, and test numerical methods for standard mathematical problems. Th...


cena:
530,21 zł 
Invitation to the Mathematics of FermatWiles
ISBN: 9780123392510 / Angielski / Twarda / 400 str. Assuming only modest knowledge of undergraduate level math, Invitation to the Mathematics of FermatWiles presents diverse concepts required to comprehend Wiles' extraordinary proof. Furthermore, it places these concepts in their historical context. This book can be used in introduction to mathematics theories courses and in special topics courses on Fermat's last theorem. It contains themes suitable for development by students as an introduction to personal research as well as numerous exercises and problems. However, the book will also appeal to the inquiring and... Assuming only modest knowledge of undergraduate level math, Invitation to the Mathematics of FermatWiles presents diverse concepts required... 

cena:
531,73 zł 
Elementary Number Theory with Applications, Student Solutions Manual
ISBN: 9780124211735 / Angielski / Miękka / 704 str. This is a student solutions manual for Elementary Number Theory with Applications 1st edition by Thomas Koshy (2002). Note that the textbook itself is not included in this purchase. From the back cover of the textbook: Modern technology has brought a new dimension to the power of number theory: constant practical use. Once considered the purest of pure mathematics, number theory has become an essential tool in the rapid development of technology in a number of areas, including art, coding theory, cryptology, and computer science. The range of fascinating applications... This is a student solutions manual for Elementary Number Theory with Applications 1st edition by Thomas Koshy (2002). Note that the textbook... 

cena:
188,87 zł 
The Encyclopedia of Integer Sequences
ISBN: 9780125586306 / Angielski / Twarda / 587 str. This encyclopedia contains more than 5000 integer sequences, over half of which have never before been catalogued. Because the sequences are presented in the most natural form, and arranged for easy reference, this book is easier to use than the authors earlier classic A Handbook of Integer Sequences. The Encyclopedia gives the name, mathematical description, and citations to literature for each sequence. Following sequences of particular interest, thereare essays on their origins, uses, and connections to related sequences (all crossreferenced). A valuable new feature to this text is...
This encyclopedia contains more than 5000 integer sequences, over half of which have never before been catalogued. Because the sequences are presented...


cena:
403,20 zł 
The Nothing That Is: A Natural History of Zero
ISBN: 9780195128420 / Angielski / Twarda / 240 str. A symbol for what is not there, an emptiness that increases any number it's added to, an inexhaustible and indispensable paradox. As we enter the year 2000, zero is once again making its presence felt. Nothing itself, it makes possible a myriad of calculations. Indeed, without zero mathematics as we know it would not exist. And without mathematics our understanding of the universe would be vastly impoverished. But where did this nothing, this hollow circle, come from? Who created it? And what, exactly, does it mean?
Robert Kaplan's The Nothing That Is: A Natural History of Zero begins as... A symbol for what is not there, an emptiness that increases any number it's added to, an inexhaustible and indispensable paradox. As we enter the year...


cena:
381,81 zł 
Profinite Groups
ISBN: 9780198500827 / Angielski / Twarda / 296 str. Profinite groups are of interest to mathematicians working in a variety of areas, including number theory, abstract groups, and analysis. The underlying theory reflects these diverse influences, with methods drawn from both algebra and topology and with fascinating connections to field theory. This is the first book to be dedicated solely to the study of general profinite groups. It provides a thorough introduction to the subject, designed not only to convey the basic facts but also to enable readers to enhance their skills in manipulating profinite groups. The first few chapters lay the...
Profinite groups are of interest to mathematicians working in a variety of areas, including number theory, abstract groups, and analysis. The underlyi...


cena:
1335,03 zł 
Metric Number Theory
ISBN: 9780198500834 / Angielski / Twarda / 320 str. This book examines the numbertheoretic properties of the real numbers. It collects a variety of new ideas and develops connections between different branches of mathematics. An indispensable compendium of basic results, the text also includes important theorems and open problems. The book begins with the classical results of Borel, Khintchine, and Weyl, and then proceeds to Diophantine approximation, GCD sums, Schmidt's method, and uniform distribution. Other topics include generalizations to higher dimensions and various nonperiodic problems (for example, restricting approximation to...
This book examines the numbertheoretic properties of the real numbers. It collects a variety of new ideas and develops connections between different ...


cena:
1595,00 zł 
A Course in Number Theory
ISBN: 9780198523765 / Angielski / Miękka / 416 str. Perfect for students approaching the subject for the first time, this book offers a superb overview of number theory. Now in its second edition, it has been thoroughly updated to feature uptotheminute treatments of key research, such as the most recent work on Fermat's coast theorem. Topics include divisibility and multiplicative functions, congruences and quadratic resolves, the basics of algebraic numbers and sums of squares, continued fractions, diophantine approximations and transcendence, quadratic forms, partitions, the prime numbers, diophantine equations, and elliptic curves. More...
Perfect for students approaching the subject for the first time, this book offers a superb overview of number theory. Now in its second edition, it ha...


cena:
491,58 zł 
Experiment Number Theory
ISBN: 9780198528227 / Angielski / Twarda / 232 str. This graduate text, based on years of teaching experience, is intended for first or second year graduate students in pure mathematics. The main goal of the text is to show how the computer can be used as a tool for research in number theory through numerical experimentation. The book contains
many examples of experiments in binary quadratic forms, zeta functions of varieties over finite fields, elementary class field theory, elliptic units, modular forms, along with exercises and selected solutions. Sample programs are written in GP, the scripting language for the computational... This graduate text, based on years of teaching experience, is intended for first or second year graduate students in pure mathematics. The main goal o...


cena:
872,87 zł 
The Theory of Transformation Groups
ISBN: 9780198532125 / Angielski / Twarda / 352 str. This book presents an introduction to the theory of transformation groups which will be suitable for all those coming to the subject for the first time. The emphasis is on the study of compact Lie groups acting on manifolds. Throughout, much care is taken to illustrate concepts and results with examples and applications. Numerous exercises are also included to further extend a reader's understanding and knowledge. Prerequisites are a familiarity with algebra and topology as might have been acquired from an undergraduate degree in Mathematics. The author begins by introducing the basic...
This book presents an introduction to the theory of transformation groups which will be suitable for all those coming to the subject for the first tim...


cena:
584,01 zł 
Area, Lattice Points and Exponential Sums
ISBN: 9780198534662 / Angielski / Twarda / 512 str. In analytic number theory many problems can be "reduced" to those involving the estimation of exponential sums in one or several variables. This book is a thorough treatment of the developments arising from the method for estimating the Riemann zeta function. Huxley and his coworkers have taken this method and vastly extended and improved it. The powerful techniques presented here go considerably beyond older methods for estimating exponential sums such as van de Corput's method. The potential for the method is far from being exhausted, and there is considerable motivation for other...
In analytic number theory many problems can be "reduced" to those involving the estimation of exponential sums in one or several variables. This book ...


cena:
2028,29 zł 
Sampling Theory in Fourier and Signal Analysis: Volume 2: Advanced Topics
ISBN: 9780198534969 / Angielski / Twarda / 312 str. The second in a twovolume series on signal analysis, this book draws on the foundations laid in the first volume to survey the diverse applications of sampling theory both within mathematics and in other areas of science. Many of the topics included are appearing for the first time in a book, and the book seeks to bring readers to the forefront of research. Topics include combinatorial analysis, number theory, neural networks, derivative sampling, wavelets, stochastic signals, random fields, and abstract harmonic analysis.
The second in a twovolume series on signal analysis, this book draws on the foundations laid in the first volume to survey the diverse applications o...


cena:
1450,58 zł 
PAdic Methods and Their Applications
ISBN: 9780198535942 / Angielski / Twarda / 208 str. The padic numbers and more generally local fields have become increasingly important in a wide range of mathematical disciplines. They are now seen as essential tools in many areas, including number theory, algebraic geometry, group representation theory, the modern theory of automorphic forms, and algebraic topology. A number of texts have recently become available which provide good general introductions to padic numbers and padic analysis. However, there is at present a gap between such books and the sophisticated applications in the research literature. The aim of this book is to...
The padic numbers and more generally local fields have become increasingly important in a wide range of mathematical disciplines. They are now seen a...


cena:
439,58 zł 
Hilbert Modular Forms and Iwasawa Theory
ISBN: 9780198571025 / Angielski / Twarda / 416 str. The 1995 work of Wiles and TaylorWiles opened up a whole new technique in algebraic number theory and, a decade on, the waves caused by this incredibly important work are still being felt. This book, authored by a leading researcher, describes the striking applications that have been found for this technique. In the book, the deformation theoretic techniques of WilesTaylor are first generalized to Hilbert modular forms (following Fujiwara's treatment), and some applications found by the author are then discussed. With many exercises and open questions given, this text is ideal for...
The 1995 work of Wiles and TaylorWiles opened up a whole new technique in algebraic number theory and, a decade on, the waves caused by this incredib...


cena:
988,41 zł 
Mathematical Theory of Communication
ISBN: 9780252725463 / Angielski / Twarda / 144 str. Scientific knowledge grows at a phenomenal pacebut few books have had as lasting an impact or played as important a role in our modern world as The Mathematical Theory of Communication, published originally as a paper on communication theory more than fifty years ago. Republished in book form shortly thereafter, it has since gone through four hardcover and sixteen paperback printings. It is a revolutionary work, astounding in its foresight and contemporaneity. The University of Illinois Press is pleased and honored to issue this commemorative reprinting of a classic.
" Scientific knowledge grows at a phenomenal pacebut few books have had as lasting an impact or played as important a role in our modern world as T...


cena:
238,14 zł 
Disquisitiones Arithmeticae
ISBN: 9780300094732 / Angielski / Miękka / 500 str. English translation of standard mathematical work on theory of numbers, first published in Latin in 1801. "Among the greatest mathematical treatises of all fields and periods."Asger Aaboe.
English translation of standard mathematical work on theory of numbers, first published in Latin in 1801. "Among the greatest mathematical treatises o...


cena:
277,82 zł 
Arithmetic of Algebraic Curves
ISBN: 9780306110368 / Angielski / Twarda / 422 str. Author S.A. Stepanov thoroughly investigates the current state of the theory of Diophantine equations and its related methods. Discussions focus on arithmetic, algebraicgeometric, and logical aspects of the problem. Designed for students as well as researchers, the book includes over 250 excercises accompanied by hints, instructions, and references. Written in a clear manner, this text does not require readers to have special knowledge of modern methods of algebraic geometry.
Author S.A. Stepanov thoroughly investigates the current state of the theory of Diophantine equations and its related methods. Discussions focus on ar...


cena:
1506,60 zł 
MultiValued Fields
ISBN: 9780306110689 / Angielski / Twarda / 270 str. For more than 30 years, the author has studied the modeltheoretic aspects of the theory of valued fields and multivalued fields. Many of the key results included in this book were obtained by the author whilst preparing the manuscript. Thus the unique overview of the theory, as developed in the book, has been previously unavailable.
The book deals with the theory of valued fields and mutlivalued fields. The theory of Prufer rings is discussed from the geometric' point of view. The author shows that by introducing the Zariski topology on families of valuation rings, it is possible to... For more than 30 years, the author has studied the modeltheoretic aspects of the theory of valued fields and multivalued fields. Many of the key res...


cena:
1142,88 zł 
The World's Most Famous Math Problem: The Proof of Fermat's Last Theorem and Other Mathematical Mysteries
ISBN: 9780312106577 / Angielski / Miękka / 80 str. June 23, 1993. A Princeton mathematician announces that he has unlocked, after thousands of unsuccessful attempts by others, the greatest mathematical riddle in the world. Dr. Wiles demonstrates to a group of stunned mathematicians that he has provided the proof of Fermat's Last Theorem (the equation x" + y" = z," where n is an integer greater than 2, has no solution in positive numbers), a problem that has confounded scholars for over 350 years. Here in this brilliant new book, Marilyn vos Savant, the person with the highest recorded IQ in the world explains the mathematical... June 23, 1993. A Princeton mathematician announces that he has unlocked, after thousands of unsuccessful attempts by others, the greatest mathemati... 

cena:
77,25 zł 