Home > Mathematics and Science Textbooks > Mathematics > Algebra > Algebra and Number Theory: An Integrated Approach(English)
18%
Algebra and Number Theory: An Integrated Approach(English)

Algebra and Number Theory: An Integrated Approach(English)

          
5
4
3
2
1

International Edition


Premium quality
Premium quality
Bookswagon upholds the quality by delivering untarnished books. Quality, services and satisfaction are everything for us!
Easy Return
Easy return
Not satisfied with this product! Keep it in original condition and packaging to avail easy return policy.
Certified product
Certified product
First impression is the last impression! Address the book’s certification page, ISBN, publisher’s name, copyright page and print quality.
Secure Checkout
Secure checkout
Security at its finest! Login, browse, purchase and pay, every step is safe and secured.
Money back guarantee
Money-back guarantee:
It’s all about customers! For any kind of bad experience with the product, get your actual amount back after returning the product.
On time delivery
On-time delivery
At your doorstep on time! Get this book delivered without any delay.
Quantity:
Add to Wishlist

About the Book

Explore the main algebraic structures and number systems that play a central role across the field of mathematics Algebra and number theory are two powerful branches of modern mathematics at the forefront of current mathematical research, and each plays an increasingly significant role in different branches of mathematics, from geometry and topology to computing and communications. Based on the authors' extensive experience within the field, Algebra and Number Theory has an innovative approach that integrates three disciplines—linear algebra, abstract algebra, and number theory—into one comprehensive and fluid presentation, facilitating a deeper understanding of the topic and improving readers' retention of the main concepts. The book begins with an introduction to the elements of set theory. Next, the authors discuss matrices, determinants, and elements of field theory, including preliminary information related to integers and complex numbers. Subsequent chapters explore key ideas relating to linear algebra such as vector spaces, linear mapping, and bilinear forms. The book explores the development of the main ideas of algebraic structures and concludes with applications of algebraic ideas to number theory. Interesting applications are provided throughout to demonstrate the relevance of the discussed concepts. In addition, chapter exercises allow readers to test their comprehension of the presented material. Algebra and Number Theory is an excellent book for courses on linear algebra, abstract algebra, and number theory at the upper-undergraduate level. It is also a valuable reference for researchers working in different fields of mathematics, computer science, and engineering as well as for individuals preparing for a career in mathematics education.

Table of Contents:
Preface ix Chapter 1 Sets 1 1.1 Operations on Sets 1 Exercise Set 1.1 6 1.2 Set Mappings 8 Exercise Set 1.2 19 1.3 Products of Mappings 20 Exercise Set 1.3 26 1.4 Some Properties of Integers 28 Exercise Set 1.4 39 Chapter 2 Matrices and Determinants 41 2.1 Operations on Matrices 41 Exercise Set 2.1 52 2.2 Permutations of Finite Sets 54 Exercise Set 2.2 64 2.3 Determinants of Matrices 66 Exercise Set 2.3 77 2.4 Computing Determinants 79 Exercise Set 2.4 91 2.5 Properties of the Product of Matrices 93 Exercise Set 2.5 103 Chapter 3 Fields 105 3.1 Binary Algebraic Operations 105 Exercise Set 3.1 118 3.2 Basic Properties of Fields 119 Exercise Set 3.2 129 3.3 The Field of Complex Numbers 130 Exercise Set 3.3 144 Chapter 4 Vector Spaces 145 4.1 Vector Spaces 146 Exercise Set 4.1 158 4.2 Dimension 159 Exercise Set 4.2 172 4.3 The Rank of a Matrix 174 Exercise Set 4.3 181 4.4 Quotient Spaces 182 Exercise Set 4.4 186 Chapter 5 Linear Mappings 187 5.1 Linear Mappings 187 Exercise Set 5.1 199 5.2 Matrices of Linear Mappings 200 Exercise Set 5.2 207 5.3 Systems of Linear Equations 209 Exercise Set 5.3 215 5.4 Eigenvectors and Eigenvalues 217 Exercise Set 5.4 223 Chapter 6 Bilinear Forms 226 6.1 Bilinear Forms 226 Exercise Set 6.1 234 6.2 Classical Forms 235 Exercise Set 6.2 247 6.3 Symmetric Forms over R 250 Exercise Set 6.3 257 6.4 Euclidean Spaces 259 Exercise Set 6.4 269 Chapter 7 Rings 272 7.1 Rings, Subrings, and Examples 272 Exercise Set 7.1 287 7.2 Equivalence Relations 288 Exercise Set 7.2 295 7.3 Ideals and Quotient Rings 297 Exercise Set 7.3 303 7.4 Homomorphisms of Rings 303 Exercise Set 7.4 313 7.5 Rings of Polynomials and Formal Power Series 315 Exercise Set 7.5 327 7.6 Rings of Multivariable Polynomials 328 Exercise Set 7.6 336 Chapter 8 Groups 338 8.1 Groups and Subgroups 338 Exercise Set 8.1 348 8.2 Examples of Groups and Subgroups 349 Exercise Set 8.2 358 8.3 Cosets 359 Exercise Set 8.3 364 8.4 Normal Subgroups and Factor Groups 365 Exercise Set 8.4 374 8.5 Homomorphisms of Groups 375 Exercise Set 8.5 382 Chapter 9 Arithmetic Properties of Rings 384 9.1 Extending Arithmetic to Commutative Rings 384 Exercise Set 9.1 399 9.2 Euclidean Rings 400 Exercise Set 9.2 404 9.3 Irreducible Polynomials 406 Exercise Set 9.3 415 9.4 Arithmetic Functions 416 Exercise Set 9.4 429 9.5 Congruences 430 Exercise Set 9.5 446 Chapter 10 The Real Number System 448 10.1 The Natural Numbers 448 10.2 The Integers 458 10.3 The Rationals 468 10.4 The Real Numbers 477 Answers to Selected Exercises 489 Index 513


Best Sellers


Product Details
  • ISBN-13: 9780470496367
  • Publisher: John Wiley & Sons Inc
  • Publisher Imprint: John Wiley & Sons Inc
  • Depth: 32
  • Language: English
  • Returnable: N
  • Spine Width: 36 mm
  • Weight: 915 gr
  • ISBN-10: 0470496363
  • Publisher Date: 03 Sep 2010
  • Binding: Hardback
  • Height: 244 mm
  • No of Pages: 544
  • Series Title: English
  • Sub Title: An Integrated Approach
  • Width: 163 mm


Similar Products

How would you rate your experience shopping for books on Bookswagon?

Add Photo
Add Photo

Customer Reviews

REVIEWS           
Click Here To Be The First to Review this Product
Algebra and Number Theory: An Integrated Approach(English)
John Wiley & Sons Inc -
Algebra and Number Theory: An Integrated Approach(English)
Writing guidlines
We want to publish your review, so please:
  • keep your review on the product. Review's that defame author's character will be rejected.
  • Keep your review focused on the product.
  • Avoid writing about customer service. contact us instead if you have issue requiring immediate attention.
  • Refrain from mentioning competitors or the specific price you paid for the product.
  • Do not include any personally identifiable information, such as full names.

Algebra and Number Theory: An Integrated Approach(English)

Required fields are marked with *

Review Title*
Review
    Add Photo Add up to 6 photos
    Would you recommend this product to a friend?
    Tag this Book
    Read more
    Does your review contain spoilers?
    What type of reader best describes you?
    I agree to the terms & conditions
    You may receive emails regarding this submission. Any emails will include the ability to opt-out of future communications.

    CUSTOMER RATINGS AND REVIEWS AND QUESTIONS AND ANSWERS TERMS OF USE

    These Terms of Use govern your conduct associated with the Customer Ratings and Reviews and/or Questions and Answers service offered by Bookswagon (the "CRR Service").


    By submitting any content to Bookswagon, you guarantee that:
    • You are the sole author and owner of the intellectual property rights in the content;
    • All "moral rights" that you may have in such content have been voluntarily waived by you;
    • All content that you post is accurate;
    • You are at least 13 years old;
    • Use of the content you supply does not violate these Terms of Use and will not cause injury to any person or entity.
    You further agree that you may not submit any content:
    • That is known by you to be false, inaccurate or misleading;
    • That infringes any third party's copyright, patent, trademark, trade secret or other proprietary rights or rights of publicity or privacy;
    • That violates any law, statute, ordinance or regulation (including, but not limited to, those governing, consumer protection, unfair competition, anti-discrimination or false advertising);
    • That is, or may reasonably be considered to be, defamatory, libelous, hateful, racially or religiously biased or offensive, unlawfully threatening or unlawfully harassing to any individual, partnership or corporation;
    • For which you were compensated or granted any consideration by any unapproved third party;
    • That includes any information that references other websites, addresses, email addresses, contact information or phone numbers;
    • That contains any computer viruses, worms or other potentially damaging computer programs or files.
    You agree to indemnify and hold Bookswagon (and its officers, directors, agents, subsidiaries, joint ventures, employees and third-party service providers, including but not limited to Bazaarvoice, Inc.), harmless from all claims, demands, and damages (actual and consequential) of every kind and nature, known and unknown including reasonable attorneys' fees, arising out of a breach of your representations and warranties set forth above, or your violation of any law or the rights of a third party.


    For any content that you submit, you grant Bookswagon a perpetual, irrevocable, royalty-free, transferable right and license to use, copy, modify, delete in its entirety, adapt, publish, translate, create derivative works from and/or sell, transfer, and/or distribute such content and/or incorporate such content into any form, medium or technology throughout the world without compensation to you. Additionally,  Bookswagon may transfer or share any personal information that you submit with its third-party service providers, including but not limited to Bazaarvoice, Inc. in accordance with  Privacy Policy


    All content that you submit may be used at Bookswagon's sole discretion. Bookswagon reserves the right to change, condense, withhold publication, remove or delete any content on Bookswagon's website that Bookswagon deems, in its sole discretion, to violate the content guidelines or any other provision of these Terms of Use.  Bookswagon does not guarantee that you will have any recourse through Bookswagon to edit or delete any content you have submitted. Ratings and written comments are generally posted within two to four business days. However, Bookswagon reserves the right to remove or to refuse to post any submission to the extent authorized by law. You acknowledge that you, not Bookswagon, are responsible for the contents of your submission. None of the content that you submit shall be subject to any obligation of confidence on the part of Bookswagon, its agents, subsidiaries, affiliates, partners or third party service providers (including but not limited to Bazaarvoice, Inc.)and their respective directors, officers and employees.

    Accept

    New Arrivals


    Inspired by your browsing history


    Your review has been submitted!

    You've already reviewed this product!
    ASK VIDYA