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Games, Norms and Reasons
by Johan Van Benthem Eric Pacuit Amitabha GuptaGames, Norms, and Reasons: Logic at the Crossroads provides an overview of modern logic focusing on its relationships with other disciplines, including new interfaces with rational choice theory, epistemology, game theory and informatics. This book continues a series called "Logic at the Crossroads" whose title reflects a view that the deep insights from the classical phase of mathematical logic can form a harmonious mixture with a new, more ambitious research agenda of understanding and enhancing human reasoning and intelligent interaction. The editors have gathered together articles from active authors in this new area that explore dynamic logical aspects of norms, reasons, preferences and beliefs in human agency, human interaction and groups. The book pays a special tribute to Professor Rohit Parikh, a pioneer in this movement.
Games of Strategy
by Avinash K. Dixit Susan Skeath David H. ReileyGames of Strategy, famous for its simple yet accurate exposition and its great examples and exercises, has been extensively revised for this Fourth Edition. The key to its broad success is that the authors assume no prior knowledge of game theory and present the material in the most accessible way possible. With new and improved features and compelling end-of-chapter exercises, this Fourth Edition of Games of Strategy continues to engage students around the world.
Games of Strategy (3rd Edition)
by Susan Skeath David Reiley Avinash DixitThe third edition uses resonant, real-world examples to simplify complex theoretical ideas, helping students see the value of strategic thinking in a variety of situations.
Games of Strategy (Fifth Edition): Instructor's Manual
by Avinash K. Dixit Susan Skeath David McAdamsComprehensive, clear, and approachable, with clever real-world examples that motivate students Games of Strategy is beloved by students and instructors alike for its flexible organization, focus on problem-solving, and engaging and accessible examples from diverse fields, like political science, biology, and business. The completely revised Fifth Edition adds the work of David McAdams, especially in the areas of market design and auction theory, and provides new insights into diverse applications, such as billion-dollar buy-outs, job offer negotiation, the Cuban Missile Crisis, and collusion in the school milk market.
Games Real Actors Play
by Fritz W ScharpfGames Real Actors Play provides a persuasive argument for the use of basic concepts of game theory in understanding public policy conflicts. Fritz Scharpf criticizes public choice theory as too narrow in its examination of actor motives and discursive democracy as too blind to the institutional incentives of political parties. With the nonspecialist in mind, the author presents a coherent actor-centered model of institutional rational choice that integrates a wide variety of theoretical contributions, such as game theory, negotiation theory, transaction cost economics, international relations, and democratic theory. Games Real Actors Play offers a framework for linking positive theory to the normative issues that necessarily arise in policy research and employs many cross-national examples, including a comparative use of game theory to understand the differing reactions of Great Britain, Sweden, Austria, and the Federal Republic of Germany to the economic stagflation of the 1970s.
Games to Play and Games not to Play: Strategic Decisions via Extensions of Game Theory (Studies in Systems, Decision and Control #469)
by Uri Weiss Joseph AgassiThis book contributes to the theoretical discussions of equilibria that rest on error―in which we include mistaken choices of games to play. Extant game theory recommends diverse strategies (plans of actions) for various given games, particularly those in Nash equilibria, in which no player benefits from one-sided strategy alteration. The literature also refers to the design of games that fit given goals. This is the mechanism design theory; its function is to serve social planners ignorant of the preferences of the people intended to play them.Our study of games avoidance adds to game theory the meta-game of choosing what game to play and what game to avoid playing, and that both players and planners can generate. This comprises a shift from the maximalist position that aims to maximize possible profit to the minimalist one that aims at minimizing possible loss. This shift depends on the question, considering the public interest, what set of games is it advisable to encourage? Obviously, it is advisable to encourage playing some groups of games such as trade, as well as to discourage playing other groups of games such as wars. This shift makes the theory much more applicable to social science: usually, choosing what game to play is less practical than choosing what game not to play. This invites legislation and similar incentives; their study should aim at the improvement of their usefulness.Discussing the possibility of changing both game and strategy renders game theory part-and-parcel of social science. For this mathematical models will not do: it requires a clear distinction between describing options and explaining situations. Explanations may enhance efforts at improvement.
Gametek: The Math and Science of Gaming
by Geoff Engelstein2017 marks the ten-year anniversary of the GameTek segment on the Dice Tower podcast. Connecting games to math, science, and psychology, GameTek has grown to be one of the most popular parts of the show. This volume commemorates the anniversary with a collection of over seventy of the best segments, many with annotations and illustrations. <p><p> With chapters on everything from Rock, Paper, Scissors to the Prisoner's Dilemma to Player Engagement to Quasicrystals to Buddha's Forbidden Games, GameTek is sure to delight not just game designers and players, but anyone who wants to learn about the world from a new perspective.
Gamification
by Stefan Stieglitz Christoph Lattemann Susanne Robra-Bissantz Rüdiger Zarnekow Tobias BrockmannThis compendium introduces game theory and gamification to a number of different domains and describes their professional application in information systems. It explains how playful functions can be implemented in various contexts and highlights a range of concrete scenarios planned and developed for several large corporations. In its first part the book presents the fundamentals, concepts and theories of gamification. This is followed by separate application-oriented sections - each containing several cases - that focus on the use of gamification in customer management, innovation management, teaching and learning, mobile applications and as an element of virtual worlds. The book offers a valuable resource for readers looking for inspiration and guidance in finding a practical approach to gamification.
The Gamification of Higher Education
by Neil B. NimanInstead of thinking about education as the mastery of a body of knowledge where the subject matter becomes the focus of our attention, The Gamification of Higher Education encourages us to think of it as a process that draws out the best in individuals and prepares them for happy, productive, and successful lives.
Gamification of Life and the Gaming Society: The Ludic Century (SpringerBriefs in Education)
by Fabian Arlt Hans-Jürgen ArltThis interesting book discusses why, as an activity, topic and metaphor, play and game have become an integral part of modern life. Empirically exemplary and theoretically grounded, this book discusses the developments and expansions in gaming, from easily accessible casual games to the galaxy-spanning gaming worlds of Massively Multiplayer Online Role-Playing Games (MMORPGs). It shows how gaming has become a focal point of the entertainment industry, marked by boundless professionalization and monetization, especially in the realm of sports, and how games become global platforms for social networks, where players from all over the world meet in digital sandboxes. The combination of the virtual and the ludic creates hyperreal spaces in which people try out new forms of interaction, cooperation, and even brainstorming. The authors ask if this behavior has become the new way of life and the new normal, and if this heralds the ludic century. They take readers on a journey to understand the dynamics of today's gaming society, and base their observations and analyses on an original theory of play, which, in contrast to social normalcy, revolves around the allure and threats of the unexpected. This book is of interest to students and researchers of social science and communication studies, especially those working on the interface of AI and society.
Gaming as a Cultural Commons: Risks, Challenges, and Opportunities (Translational Systems Sciences #28)
by Toshiko Kikkawa Willy Christian Kriz Junkichi SugiuraThis book focuses on relatively neglected areas of simulation and gaming (S&G), i.e., cultural aspects and ethical issues, in addition to giving readers a basic knowledge of S&G. Although the educational effects of S&G, and related methods such as gamification, as well as serious games have been studied and are gaining recognition, their downsides are often overlooked. For example, there is always a risk of manipulation by games if maliciously designed and facilitated. Ethical codes of game designers, facilitators, and educators must be established on the basis of academic research. Considerations of the ethics of games are essential not only for S&G researchers and educators but also for the general public, because games have sometimes been used for propaganda purposes in the past and could be again, in the present and future. Looking at the cultural aspect, as the S&G community has accumulated research over 50 years, the book includes the knowledge of the pioneers, i.e., archival interview data. This is the first book that includes extensive interviews of researchers and commercial game designers and critics. It also contains diverse topics from the perspective of gender and Japanese culture. Japan has been attracting attention in the field of board games as there are many independent game designers and an expanding market. Although women in S&G have gained some recognition, the topic has been rather ignored and was first officially discussed in 2019 at the international conference of the International Simulation and Gaming Association held in Warsaw. In summary, by focusing on comparatively overlooked or neglected aspects of S&G, this book expands future opportunities in the field for researchers and educators, with increased awareness by the general public.
Gaming The Vote: Why Elections Aren't Fair (and What We Can Do About It)
by William PoundstoneAt least five U.S. presidential elections have been won by the second most popular candidate, because of "spoilers"--Minor candidates who take enough votes away from the most popular candidate to tip the election. The spoiler effect is a consequence of the "impossibility theorem," discovered by Nobel laureate economist Kenneth Arrow, which asserts that voting is fundamentally unfair--and political strategists are exploiting the mathematical faults of the simple majority vote. This book presents a solution to the spoiler problem: a system called range voting, already widely used on the Internet, which is the fairest voting method of all, according to computer studies. Range voting remains controversial, however, and author Poundstone assesses the obstacles confronting any attempt to change the American electoral system
Gamma: Exploring Euler's Constant (Princeton Science Library #53)
by Julian HavilAmong the many constants that appear in mathematics, π, e, and i are the most familiar. Following closely behind is y, or gamma, a constant that arises in many mathematical areas yet maintains a profound sense of mystery. In a tantalizing blend of history and mathematics, Julian Havil takes the reader on a journey through logarithms and the harmonic series, the two defining elements of gamma, toward the first account of gamma's place in mathematics. Introduced by the Swiss mathematician Leonhard Euler (1707-1783), who figures prominently in this book, gamma is defined as the limit of the sum of 1 + 1/2 + 1/3 + . . . Up to 1/n, minus the natural logarithm of n--the numerical value being 0.5772156. . . . But unlike its more celebrated colleagues π and e, the exact nature of gamma remains a mystery--we don't even know if gamma can be expressed as a fraction. Among the numerous topics that arise during this historical odyssey into fundamental mathematical ideas are the Prime Number Theorem and the most important open problem in mathematics today--the Riemann Hypothesis (though no proof of either is offered!). Sure to be popular with not only students and instructors but all math aficionados, Gamma takes us through countries, centuries, lives, and works, unfolding along the way the stories of some remarkable mathematics from some remarkable mathematicians.
The Gamma Function (Dover Books on Mathematics)
by Emil Artin Michael ButlerThis brief monograph on the gamma function was designed by the author to fill what he perceived as a gap in the literature of mathematics, which often treated the gamma function in a manner he described as both sketchy and overly complicated. Author Emil Artin, one of the twentieth century's leading mathematicians, wrote in his Preface to this book, "I feel that this monograph will help to show that the gamma function can be thought of as one of the elementary functions, and that all of its basic properties can be established using elementary methods of the calculus." Generations of teachers and students have benefitted from Artin's masterly arguments and precise results. Suitable for advanced undergraduates and graduate students of mathematics, his treatment examines functions, the Euler integrals and the Gauss formula, large values of x and the multiplication formula, the connection with sin x, applications to definite integrals, and other subjects.
Gamow Shell Model: The Unified Theory of Nuclear Structure and Reactions (Lecture Notes in Physics #983)
by Nicolas Michel Marek PłoszajczakThis book provides the first graduate-level, self-contained introduction to recent developments that lead to the formulation of the configuration-interaction approach for open quantum systems, the Gamow shell model, which provides a unitary description of quantum many-body system in different regimes of binding, and enables the unification in the description of nuclear structure and reactions. The Gamow shell model extends and generalizes the phenomenologically successful nuclear shell model to the domain of weakly-bound near-threshold states and resonances, offering a systematic tool to understand and categorize data on nuclear spectra, moments, collective excitations, particle and electromagnetic decays, clustering, elastic and inelastic scattering cross sections, and radiative capture cross sections of interest to astrophysics. The approach is of interest beyond nuclear physics and based on general properties of quasi-stationary solutions of the Schrödinger equation – so-called Gamow states. For the benefit of graduate students and newcomers to the field, the quantum-mechanical fundamentals are introduced in some detail. The text also provides a historical overview of how the field has evolved from the early days of the nuclear shell model to recent experimental developments, in both nuclear physics and related fields, supporting the unified description. The text contains many worked examples and several numerical codes are introduced to allow the reader to test different aspects of the continuum shell model discussed in the book.
Ganit Bhag-1 class 12 - NCERT - 23: गणित भाग-1 कक्षा 12 - एनसीईआरटी - २३
by Rashtriy Shaikshik Anusandhan Aur Prashikshan Parishadगणित भाग 1 12 वीं कक्षा का राष्ट्रीय शैक्षिक अनुसंधान और प्रशिक्षण परिषद् ने पुस्तक हिंदी भाषा में प्रकाशित किया गया है। विषय की प्रमाणिकता की दृष्टि से पुस्तक को प्रभावित करने वाले कुछ आवश्यक तत्वों का उल्लेख करते हैं। ये विशिष्टताएँ लगभग इस पुस्तक के सभी पाठों में परिलक्षित हैं। प्रस्तुत पाठ्यपुस्तक में 6 मुख्य अध्याय और दो परिशिष्ट शामिल हैं। पाठपुस्तक मे भूमिका : विषय के महत्वपूर्ण बिंदुओं पर बल; पूर्व में पढ़ाए गए विषय-वस्तुओं का परस्पर संबंध; अध्याय में खंडो को शमिल करते हुए धारणाओं और अवधारणाओं का संगठन, धारणाओं / अवधारणाओं की जानकारी को प्रेरणादायक बनाते हुए, जहाँ भी संभव हो सका दृष्टांत उपलब्ध कराए गए हैं। विषय के प्रत्येक खंड में पर्याप्त और विविध उदाहरण/अभ्यास दिए गए हैं। विषय को और अधिक प्रेरणादायक बनाने के उद्देश्य से विषय की संक्षिप्त ऐतिहासिक पृष्ठभूमि पाठ के अंत में दी गई है और प्रत्येक पाठ के प्रारंभ में संबंधित कथन एवं सुप्रसिद्ध गणितज्ञों के चित्र दिये गए हैं। अंततः विषय की संकल्नाओं के सूत्र एवं परिणाम के प्रत्यक्ष सार-कथन के लिए पाठ का संक्षिप्त सारांश भी प्रस्तुत किया गया है।
Ganit Bhag 1 class 8 - S.C.E.R.T. Raipur - Chhattisgarh Board: गणित भाग 1 कक्षा 8 - एस.सी.ई.आर.टी. रायपुर - छत्तीसगढ़ बोर्ड
by Rajya Shaikshik Anusandhan Aur Prashikshan Parishad Raipur C. G.गणित भाग 1 पाठ्यपुस्तक कक्षा 8वी का राज्य शैक्षिक अनुसंधान और प्रशिक्षण परिषद् छत्तीसगढ़ रायपुर ने हिंदी भाषा में प्रकाशित किया गया है, इस पाठ्यपुस्तक में दस अध्याय दिये गए है। इस पाठ्यपुस्तक में बड़ी से बड़ी संख्या को अलग-अलग रूप में लिखना, घात की सहायता से चक्रवृद्धि ब्याज की गणना करना, साथ ही साथ ज्यामितीय आकृतियों के विशिष्ट गुणों को भी समझाया गया हैं। बीजीय व्यंजकों का गुणनखंडन करने के साथ-साथ किसी वस्तु द्वारा स्थान घेरने से संबंधित अवधारणाओं का भी स्पष्टीकरण किया गया । यह पुस्तक गणित शिक्षा के उद्देश्यों एवं बच्चों के उपलब्धि स्तर को ध्यान में रखकर बनाई गई है। गणित से संबंधित सार्थक प्रश्न बना सकें, उन्हें हल कर सकें। साथ ही अपने दैनिक जीवन के अनुभवों से निर्मित गणितीय ज्ञान का रूपान्तर अपनी सुविधानुसार कर सकें। इस पुस्तक के लेखन में विभिन्न शासकीय और अशासकीय संस्थाओं तथा प्रबुद्ध नागरिकों का मार्गदर्शन और सहयोग मिला है।
Ganit Bhag 1 Digest class 10 - Maharashtra Board Guide: गणित भाग 1 डाइजेस्ट इयत्ता 10वी - महाराष्ट्र बोर्ड मार्गदर्शन
by Shri Navneetगणित भाग 1 इयत्ता 10वी चे पुस्तक नवनीत एज्युकेशन लिमिटेडने मराठी भाषेमध्ये प्रकाशित केलेले आहे, या पाठपुस्तकामधे सहा पाठ व त्यांची प्रश्नोत्तरे आणि बोर्डाची कृतिपत्रिका दिलेली आहे. प्रत्येक प्रकरणाच्या सुरुवातीला दिलेल्या 'महत्त्वाचे मुद्दे' यात, प्रकरणामध्ये असलेल्या सर्व अभ्यासघटकांचा समावेश आहे. काही ठिकाणी मुद्द्यांच्या स्वरूपात, तर काही ठिकाणी तक्त्यांच्या स्वरूपात माहितीची मांडणी करण्यात आली आहे. पाठ्यपुस्तकात आलेले 'सांगा पाहू' किंवा 'थोडे आठवा' या बाबी ‘महत्त्वाचे मुद्दे' यांत समाविष्ट करण्यात आल्या आहेत. यातील प्रश्नांची उत्तरे मिळाल्यावर किंवा कृती केल्यावर, त्यानंतर दिलेल्या मुद्द्यांचे आकलन होणे खूपच सोपे होईल, हा त्याचा मुख्य उद्देश आहे.
Ganit Bhag 2 class 8 - S.C.E.R.T. Raipur - Chhattisgarh Board: गणित भाग 2 कक्षा 8 - एस.सी.ई.आर.टी. रायपुर - छत्तीसगढ़ बोर्ड
by Rajya Shaikshik Anusandhan Aur Prashikshan Parishad Raipur C. G.गणित भाग 2 पाठ्यपुस्तक कक्षा 8वी का राज्य शैक्षिक अनुसंधान और प्रशिक्षण परिषद् छत्तीसगढ़ रायपुर ने हिंदी भाषा में प्रकाशित किया गया है, इस पाठ्यपुस्तक में नौं अध्याय दिये गए है। इस पाठ्यपुस्तक में बड़ी से बड़ी संख्या को अलग-अलग रूप में लिखना, घात की सहायता से चक्रवृद्धि ब्याज की गणना करना, साथ ही साथ ज्यामितीय आकृतियों के विशिष्ट गुणों को भी समझाया गया हैं। बीजीय व्यंजकों का गुणनखंडन करने के साथ-साथ किसी वस्तु द्वारा स्थान घेरने से संबंधित अवधारणाओं का भी स्पष्टीकरण किया गया । यह पुस्तक गणित शिक्षा के उद्देश्यों एवं बच्चों के उपलब्धि स्तर को ध्यान में रखकर बनाई गई है। गणित से संबंधित सार्थक प्रश्न बना सकें, उन्हें हल कर सकें। साथ ही अपने दैनिक जीवन के अनुभवों से निर्मित गणितीय ज्ञान का रूपान्तर अपनी सुविधानुसार कर सकें। इस पुस्तक के लेखन में विभिन्न शासकीय और अशासकीय संस्थाओं तथा प्रबुद्ध नागरिकों का मार्गदर्शन और सहयोग मिला है।
Ganit Bhag 2 Digest class 10 - Maharashtra Board Guide: गणित भाग 2 डाइजेस्ट इयत्ता 10वी - महाराष्ट्र बोर्ड मार्गदर्शन
by Shri Navneetगणित भाग 2 इयत्ता 10वी चे पुस्तक नवनीत एज्युकेशन लिमिटेडने मराठी भाषेमध्ये प्रकाशित केलेले आहे, या पाठपुस्तकामधे सात पाठ व त्यांची प्रश्नोत्तरे आणि बोर्डाची कृतिपत्रिका दिलेली आहे. प्रत्येक प्रकरणाच्या सुरुवातीला दिलेल्या 'महत्त्वाचे मुद्दे' यात, प्रकरणामध्ये असलेल्या सर्व अभ्यासघटकांचा समावेश आहे. काही ठिकाणी मुद्द्यांच्या स्वरूपात, तर काही ठिकाणी तक्त्यांच्या स्वरूपात माहितीची मांडणी करण्यात आली आहे. पाठ्यपुस्तकात आलेले 'सांगा पाहू' किंवा 'थोडे आठवा' या बाबी ‘महत्त्वाचे मुद्दे' यांत समाविष्ट करण्यात आल्या आहेत. यातील प्रश्नांची उत्तरे मिळाल्यावर किंवा कृती केल्यावर, त्यानंतर दिलेल्या मुद्द्यांचे आकलन होणे खूपच सोपे होईल, हा त्याचा मुख्य उद्देश आहे.
Ganit class 10 - NCERT - 23: गणित १०वीं कक्षा - एनसीईआरटी - २३
by Rashtriy Shaikshik Anusandhan Aur Prashikshan Parishadगणित कक्षा 10वीं का राष्ट्रीय शैक्षिक अनुसंधान और प्रशिक्षण परिषद् ने पुस्तक हिंदी भाषा में प्रकाशित किया गया है, इस पाठ्यपुस्तक का अध्ययन करते समय आप यह देखेंगे कि पाठ्यपुस्तक विकास समिति ने इन तथ्यों को ध्यान में रखा है। विशेष रूप से इस पुस्तक के सृजन से बच्चों को गणित के अन्वेषण के लिए स्थान उपलब्ध कराने और गणितीय रूप में तर्क देने की योग्यता विकसित करने को ध्यान में रखकर किया गया है। साथ ही इस पुस्तक में दो परिशिष्ट-गणित में उपपत्तियाँ और गणितीय निदर्शन दिए गए हैं। इन्हें इस पुस्तक में उन बच्चों के लिए रखा गया है, जो इनके पठन में रुचि रखते हों, और इस समय इसका स्थान केवल ऐच्छिक पठन के लिए ही है। समय अंतराल में इन विषयों को मुख्य पाठ्यक्रम में सम्मिलित किया जा सकता है।
Ganit class 10 - S.C.E.R.T. Raipur - Chhattisgarh Board: गणित कक्षा 10 - एस.सी.ई.आर.टी. रायपुर - छत्तीसगढ़ बोर्ड
by Rajya Shaikshik Anusandhan Aur Prashikshan Parishad Raipur C. G.गणित कक्षा 10 वी का राज्य शैक्षिक अनुसंधान और प्रशिक्षण परिषद् छत्तीसगढ़ रायपुर ने पुस्तक हिंदी भाषा में प्रकाशित किया गया है, इस पाठपुस्तक में गणित पढ़ने का मूल उद्देश्य गणित के नियमों का उचित स्थानों का अध्ययन किया गया है। दसवीं कक्षा में गणित विषय के अन्तर्गत इन्हीं गतिविधियों पर खास जोर दिया गया है, जहाँ विद्यार्थी समूह चर्चा करेंगे, किताब पढ़कर समझेंगे, करके देखेंगे, सवाल हल करेंगे, खुद नए सवाल बनाएँगे। गणित के तार्किक ढाँचे को समझना एवं कथनों को गणितीय ढंग से सिद्ध करना, गणित सीखने-सिखाने का एक अहम् पहलू है। इस किताब में गणितीय कथनों को जाँचने के तरीके पर जोर दिया गया है ताकि विद्यार्थी गणितीय कथनों को ऐसे ही मान लेने के बजाए उन्हें पहले सिद्ध करें, उसमें निहित तर्क को समझें, साथ ही जाँचने और सिद्ध करने में अंतर भी जान सकें। अतः आप कक्षा में विद्यार्थियों को नए कथन लिखने उन्हें स्वयं सिद्ध करने का ढंग ढूँढने या पहले किए गए प्रमेयों को पढ़कर समझने एवं समझाने के अवसर दें।
Ganit class 11 - S.C.E.R.T Raipur - Chhattisgarh Board: गणित कक्षा 11 - एस.सी.ई.आर.टी. रायपुर छत्तीसगढ़ बोर्ड
by Rajya Shaikshik Anusandhan Aur Prashikshan Parishad Chhattisgarh Raipur C.G.गणित कक्षा 11 वीं का राज्य शैक्षिक अनुसंधान और प्रशिक्षण परिषद् छत्तीसगढ़ रायपुर ने पुस्तक हिंदी भाषा में प्रकाशित किया गया है, इस पाठपुस्तक में पंधरह अध्याय दिये गये है, जिसमे हर अध्याय के विवरण कि व्याख्या कि गई है ।
Ganit class 3 - Maharashtra Board: गणित इयत्ता तिसरी - महाराष्ट्र बोर्ड
by Maharashtra Rajya Pathyapustak Nirmiti Va Abhysakram Sanshodhan Mandal Puneगणित इयत्ता तिसरी हे महाराष्ट्र राज्य पाठ्यपुस्तक निर्मिती व अभ्यासक्रम संशोधन मंडळ, पुणे यांनी या पुस्तकाचे लेखन केले आहे तसेच श्री. विवेक उत्तम गोसावी यांनी हे पुस्तक मराठी भाषेमध्ये प्रकाशित केले आहे. या पाठपुस्तकात गणित संबोधांची उजळणी व्हावी, त्यांचे स्थिरीकरण व्हावे, स्वयं-अध्ययन सुलभ व्हाव म्हणून पुस्तकात श्रेणीबद्ध (Graded) 'स्वाध्याय' आणि 'संवादांचा' समावेश करण्यात आला आहे. स्वाध्यायामधील प्रश्न विद्याथ्यानो स्वप्रयत्नाने सोडवावे अशी अपेक्षा आहे. स्वाध्याय कटाळवाण होऊ नयेत यासाठी त्यांमध्ये विविधता आणण्याचा प्रयत्न केला आहे.
Ganit class 4 - GSTB: ગણિત ધોરણ ૪ - જીએસટીબી
by Kinnariben Dave Dr Bharat J. Pathakપ્રસ્તુત પાઠ્યપુસ્તક ધોરણ ૪ ના ગણિત વિષયનું છે.